diff --git "a/data/dm_maths/full_data_2/1888_11255.jsonl" "b/data/dm_maths/full_data_2/1888_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1888_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of 53\/7 and -47\/19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 7*t**2 - t + 9. Let w be z(7). Let k(n) = -1 + 0 - n**w + n - 5*n**3 + 0*n**2. Is k(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595 is divided by 528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -23. Solve z = -2*d + t, 3*d - 7*d = 5*t + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*n, n = -5*k + 15. Suppose k*t = 30 + 2. What is the second derivative of -27*u - 5*u**5 + t - 16 wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.108923 millennia?\nAnswer: 7108.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 8 = 0. Let t be (-2)\/1 + (-4)\/(20\/(-505)). Suppose i*n = 4*s - 3*s + t, n - 30 = 2*s. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/29 + 53\/174. Let t = 1\/2 - x. Let b = -0.013 + -4.987. What is the smallest value in t, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 - 3*x + 4. Give c(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -5*d + 86, 5*d = -j - 12. Let t = 0 - 0. Suppose -j*r + 436 = 5*u, t = -3*r - r + u + 566. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724893.11 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -312 + 288. Which is the closest to 1? (a) 1\/8 (b) -1 (c) h (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 183, -322, -3, -71 in ascending order.\nAnswer: -322, -71, -3, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.76 + -22.86. Sort 0.3, -3\/5, 77, z in descending order.\nAnswer: 77, 0.3, z, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 350.76 - 351. Put 5, w, 0.2 in descending order.\nAnswer: 5, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 757.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270563 is divided by 12303.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:52 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Suppose -4*p + 116 = 4*t, 4*t - 6 = 2. Let k(n) = -9*n - 14*n + p*n. Determine q(k(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 - 136\/(-20). Let s = -9 - -11. Suppose -5*b + 45 = -2*f, -s*b + 3 = 4*f + 9. Is b less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*t - 302*t + 356*t + 56016 = 769*t for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*i - 46 = 0, -15*c + 41*c + 5*i + 290 = 2*c - 12*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - j**3 + 0*j**3 + (-2*j**2 + j**2 + 2*j**2)*(-4*j - j + 3*j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 d when three letters picked without replacement from brbzrrdbdr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(468\/(-8)) - 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2216*p - 5636485 + 5636485.\nAnswer: -2216*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.6 - 12.7. Let c = 0.9 - 2.9. Put c, z, 2 in descending order.\nAnswer: 2, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136182191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -34*x - 18. What is the remainder when o(-6) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1070 + 1071.41742. Let i = f - 1.42. Round i to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 32 - (-334 - -332)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a - 5. What is t(5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11260 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3 - 726*q**2 + 4449*q - 3720 = 0. What is q?\nAnswer: -248, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -508, -506, -504?\n\"Answer: 2*n - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 142. Suppose -127*a + 864 = -136*a. Let s = r + a. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Let r be 3\/6*34 - g. Suppose 4*j + 3*k - r = 0, 0*j - 3*j - k = -10. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/20)*o\/(o**(-13\/5)*o)*o**(-25)\/(o\/(o\/(o\/((o\/(o\/(o*o*o\/o**(10\/7))))\/o*o))*o)) assuming o is positive.\nAnswer: o**(-2909\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1) + 2\/(-1). Let v be f + -2 + 0\/2. Let c(d) = -d**3 - d**2 - 4*d + 3. Is c(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 200025?\nAnswer: 200027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5512 and 341585.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 7*j - 1. What is o(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*c - 88 + 21 + 866 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((8 - 8)\/(1*-2))\/(-4). Suppose w - 16 = -3*s, 9*w - 5*w + 5*s - 36 = k. Solve -6*o - w = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184185 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19238?\nAnswer: 2, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 36. Let z be q(21). Solve -2*x + z = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2*r**3\/3 - 15*r - 3714. Let w(z) = 2*z**2 - 15. Calculate -3*q(h) + 4*w(h).\nAnswer: 2*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 13\/(455\/(-120)). Let a = 7 - 6.9. Sort -4, c, a in descending order.\nAnswer: c, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 10*m + 9. Let q be v(-6). Let y(x) = -q + 11 + 1 - x. What is y(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 815595872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 6*s**2 + 2*s**2 + (1 - 2 + 0)*(-s + s**2 + s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1160178, 2320335, 3480492, 4640649?\n\"Answer: 1160157*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 651 - -47?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2\/9, -35\/3, 332, 3, 5, -3 in decreasing order.\nAnswer: 332, 19, 5, 3, 2\/9, -3, -35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + (-1)\/(-3). Let a be (1 + -6 - -3) + g. Let u(r) = -10*r**3 + r**2 - 1. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*f - 4*f. Let t = 1 - -3. Suppose f*w = t*w - 6. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t**2 - 30 - 10 + 40 as q + f*t**2 + p*t and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23092689600 rounded to the nearest one million?\nAnswer: 23093000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48912.5l in millilitres?\nAnswer: 48912500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nesnsensssssehssssn. What is prob of picking 1 n, 2 e, and 1 s?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -152 * -9\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -101.7. Let t = f - 1.3. Which is the smallest value? (a) -0.4 (b) t (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, k: 1, f: 2}. Give prob of picking 1 l and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619.6966um to centimeters.\nAnswer: 0.06196966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s - 3. Let u be q(6). Suppose 0*a = -u*a. Suppose a*r - 8 = -2*r. Sort 1, -4, r.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 91232.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.568 + 0.558. Let x = n + 12. Let m = x + 0.0164. Round m to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/31))\/v)\/v**(1\/29) assuming v is positive.\nAnswer: v**(27\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/25411 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.849936 rounded to 2 decimal places?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*d**2*g*p - 2*d**2*g - d**2*p - 2*d*g*p + 90*d*g + d wrt d.\nAnswer: 390*g*p - 4*g - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w*w**(-2\/7))\/w)\/w)\/w*w**1)\/((w\/w**(-1\/3))\/w*w)**(2\/7))**(25\/6) assuming w is positive.\nAnswer: w**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131054522 (base 6) to base 11.\nAnswer: 7161135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*c - 297*c + 143*c - 4 to the form u + l*c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqps when four letters picked without replacement from fqefspf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100322 - 3?\nAnswer: 100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - 10*n**2 + 2*n + 1. What is the units digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 12) to base 13\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -190829350?\nAnswer: 190829351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11*l**2 - l**2 - 3.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 3*p - 2. Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f + 1344 = -16*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b. Let f be j(5). Solve 0 = -3*c + 8*c - f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26666, 106643, 239936, 426545, 666470, 959711, 1306268?\nAnswer: 1706141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27248*c**2 - 54528*c**2 + 27249*c**2.\nAnswer: -31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 454932*s\/7 - 20931104\/7.\nAnswer: 2*(s - 227512)*(s + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6)*-4 - 55. Let t = y - -62. Suppose -2*a = 4*n - 294, -t*a = 2*n - 408 - 303. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let c be z(-6). Suppose c*q = -25637074 - 11362926. Round q to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -11. Let v be 5\/r - (-12)\/8. Let a(l) = 2*l**2 - l. Let b be a(v). Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 - -0.7. Let s = 1.2 - 0.2. Which is bigger: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 31*s**2 - 1395*s + 43285. Give j(31).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1650 and 42972270.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2+-22.98029\nAnswer: -20.98029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 5753, 18303, 42115, 80789, 137925, 217123?\nAnswer: 321983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 + 7*v + 8. Let s be u(4). Solve -s*b + 16 = -0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5.7. Let q = -42 + 253\/6. What is the smallest value in h, -0.1, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1573 (base 15) to base 2\nAnswer: 1001000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwq when three letters picked without replacement from {q: 1, t: 2, w: 2, f: 1, o: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 79. Let i = -0.88 + -0.07. Let m = i - 0.05. Which is the second biggest value? (a) m (b) 5\/6 (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*v + 11, -5*v = -102*l + 107*l - 75. Solve 4*i + n = i - 14, 0 = -4*n - l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*i - 349*i - 20*i = 14553 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a - 10. Let h = -35 + 21. Let x be h\/1*6\/12. Is 39 a factor of y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288923 = 116*l + 465*l + 222689 for l.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249108244, 249108242, 249108240, 249108238, 249108236?\nAnswer: 249108234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53\/76 + -18\/19. Which is the nearest to -1? (a) -1 (b) -50 (c) k (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*h, 0*h = -4*r + 5*h + 9. Let b be 2\/r + (-1434)\/(-18). Suppose -w + b = 4*w. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16698a8 (base 11) in base 10?\nAnswer: 2838778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.152 * -2\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 6*q**2 - 4*q - 21. Let r be j(-6). Suppose 0 = -4*y + 4*v + 368, 2*y - 433 = -r*y - 4*v. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013930208 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((0 - -4) + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.96 + 0.04. Sort v, 2\/3, -0.4 in descending order.\nAnswer: v, 2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 10*o**2 + 12*o - 12. Let n be z(9). Let v be (-70)\/(-44) - n\/10. Suppose 0 = a - 6*a + 5. Is a at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/8 + -46582)\/(1\/(-9)). Let r = -1250229 + d. Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c - 165. What is g(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-4))\/(28\/5474). Let p = 1008 - m. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.034 in 0, -1\/63, 271, -1\/4?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26564512993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*q = 42, 5*w - 7*q + 8*q + 52 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2564007 to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tddd when four letters picked without replacement from {t: 2, d: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10240 + 2236. Let a = g - -13710. Suppose -a = -3*f + 3*n, 0 = f + 4*f + 5*n - 9520. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeewewwwwwweeeweweew. Give prob of picking 2 e.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, 0.4, 3\/4, -110.9, -104?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181542?\nAnswer: 2, 3, 79, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 16. Solve 3*s = -h*a + 31, -5*a - 7*s + 45 = -2*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1892566902 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:01 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*b - 4, -4*a + 11*b - 14*b = 29. Let p(i) = i**2 + i + 3. Let z(c) = c - 1. Let f(v) = p(v) + 4*z(v). What is f(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3561, -3557, -3551, -3543, -3533?\nAnswer: -3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.007 - -15. Round t to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s + 1 = 0. Let r(h) = -1 + 4 + 0*h + 2*h - 2. What is the units digit of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1208, -14, -2, -82, 3, -4 in descending order.\nAnswer: 1208, 3, -2, -4, -5, -14, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 1260 - 1267 + 4*v. Give z(10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478330, -1913267, -4304814, -7652971, -11957738, -17219115, -23437102?\nAnswer: -30611699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 277 + 42. Let f = l + 31. Let s(d) = -86 + 6*d**f + 42 + 44. Let j(o) = -4*o. Calculate s(j(a)).\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (1 - (-1 + -1)). Suppose -o*j + 1598 = -1265. Suppose -8*x = -j - 1311. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1*2\/8). Let w(f) = -2 + f + 2*f - b*f. Suppose -17*t = -14*t - 6. Determine w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/68 and -47\/1272?\nAnswer: 21624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(-4*sqrt(8)) + sqrt(18) + sqrt(18))\/(2*sqrt(6)*-3).\nAnswer: -7*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-75) + 3\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201 - 189. Calculate the greatest common divisor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/15, 3, -1\/11?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*q - 432, -3*q - 501 - 363 = -4*i. Let w = i + -36. Suppose -m - 22 + w = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.7192083869 - -1044.2808000031. Let d = -1052 + a. What is d rounded to seven decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11881957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -27. Find the second derivative of i*l**4 - 12*l + 5*l**4 + 26*l wrt l.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = g - 5*g. Suppose g*n - 45 - 6 = 0. What is the derivative of -n - 6 - 15*k + 35 wrt k?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -4c?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 792.\nAnswer: 5\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -88.069. Let m = w + -16.431. Round m to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6490.\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/(-30) + 10 + 208\/(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 1540 = -41*m - 29*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by 85.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 greater than or equal to -206175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x + 92. Determine j(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.4, -0.2, -3, -4, 649, 864?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12.33, -2\/5, 2\/9 in decreasing order.\nAnswer: 12.33, 3, 2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3682*r - 3686*r - 2 = u, 7 = r + 4*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(1 - (-4)\/(-10)). Let h(j) = j - 3. Let g be h(y). Suppose -4*d = 5*a - 22, 14 = g*a - 0*a - d. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 - 2*l + 1. Let p = 1 + 13. Suppose -336 = 34*o - 13*o. Let a = p + o. What is b(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -3, -2\/11, 90078, 0.5?\nAnswer: 90078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = 2*v - 6, -3*v + 4 = h. Put 3, h, -3 in ascending order.\nAnswer: -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 - 10 + 6 + 4.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 27. Suppose 5*s - j - u = -3*j, -5*s + 4*j = -38. Let r = -3 - s. What is the biggest value in -0.1, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680659 is divided by 3313.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363622.\nAnswer: 2, 7, 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**2 - 4*c**2 - 6*c**2 + 9*c - 4*c in the form x*c**2 + l + n*c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -1*sqrt(833) + -2*sqrt(68))**2 - (sqrt(187)\/(sqrt(11) + sqrt(44)\/sqrt(4)))**2*-6.\nAnswer: 595\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 368634368.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -9. Let x(s) = 2*s**3 + 2*s**2 - 3*s - 1. Let v(d) = d**3 + 3*d**2 - 3*d - 1. Let m(o) = -3*v(o) + 2*x(o). Is m(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + -3)*2\/6. Suppose -x - 1 + 2 = s, 17 = w*s - 3*x. Suppose s*b - 10 = -b. Sort b, 1, -1 in ascending order.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 33 (b) -0.05 (c) -13 (d) 236 (e) -3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/57945 + -170699\/90857760. Which is bigger: 0.3 or n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*q**2 + 48*q**2 + 35*q**2 + (-4*q + 3*q + 0*q)*(0*q + q - 2*q) as z*q**2 + i*q + a and give z.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 - 383*d**4 + 1145*d**3 - 380*d**2 - 2291*d\/2 + 763 = 0. What is d?\nAnswer: -1, 1, 2, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11649 + -11648. Let j(y) = -y. Let h(w) = 13*w - 2. Calculate q*h(a) + 6*j(a).\nAnswer: 7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-4))\/(56 - 57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 132999, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.2, -0.2, 2124, -1\/3, -2\/113, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16164, 16166, 16168, 16170?\nAnswer: 16172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13812*r**2 - 2*r. Let b(w) = 11*w. Give j(b(a)).\nAnswer: -1671252*a**2 - 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(2\/5)*l))\/l)**36*l**9\/l**(2\/7))**(-4\/5))**(-39) assuming l is positive.\nAnswer: l**(-227604\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 8 - (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.629 rounded to one decimal place?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*x + 1568 = 0, 3*x - 910 - 38 = -3*v. Let g be 2381\/v - (-10)\/15. Let o = g + -142\/13. Find the common denominator of -65\/4 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -7327868, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 152.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + 0*w + (-w + w - 2*w)*(-3 - 1 + 3) - w - 2*w + 2*w)*(2*w**2 - 2*w**2 + w**2).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 125. Calculate the remainder when u is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 16. Let n(v) be the first derivative of 2 + t*v + 5\/2*v**2 - 1\/4*v**4 - v**3. Determine n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x + x)*(2 - 3 + 0) - 2*x - 2*x + 2*x + 4*x - x - 4*x - x + 0*x + 2*x - x + x - 2*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -73.6. Let o = u + 7. Is 2\/7 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 53*n - 120. Let i(x) = -35*x + 77. Let q(w) = -8*i(w) - 5*t(w). Let p(a) = -a**2. Calculate q(p(g)).\nAnswer: -15*g**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005750308541 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5606*o + 14*o**3 + 48*o**3 - 5605*o as i*o**3 + h*o**2 + j*o + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -1304698.03493.\nAnswer: -1304699.03493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 2*k**3 - 70 - 74 + 154 - 3*k. Let j(g) = -2*g**3 + 2*g - 7. Let b(o) = -o**2 + 4*o + 7. Let w be b(6). What is w*d(c) - 7*j(c)?\nAnswer: -c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*y - 18 - 7, 3 = y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53239*c**3*q**3 - 2*c**3*q + 293519*c*q**3 + q**3 wrt c?\nAnswer: -319434*c*q**3 - 12*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x - 47. Let r be n(-7). Let o = -492 + r. Let i = -249 - o. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12578*y**2 + 5 - 5 + 2362*y**2 in the form p*y + z*y**2 + k and give z.\nAnswer: -10216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13541.6973 - -13541. Let t = w - -0.68. Round t to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1808855?\nAnswer: 5, 109, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-13) - 8\/(-52). Is s != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4255\/8 + 533. Find the common denominator of -15\/2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g + 1. Let w be o(-1). Let d be 6\/w - (-126)\/(-56). Which is the nearest to -0.1? (a) d (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11401343 (base 5) in base 6?\nAnswer: -2140533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 11*x + 34. Let w be v(14). Let m(l) = l + 10. Let f be m(w). Let p(r) = -f*r + 12*r - 5*r - 11*r. Let u(y) = 3*y. Determine p(u(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 7*f, -5*k - 3*f = -15. Suppose -k*v = -9*v + 492. What is the remainder when v is divided by -3 + 2 - (-2 - 41)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2442438 and -19\/14.\nAnswer: 17097066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to -153951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 greater than or equal to -1102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**4 + 74\/3*w**3 + 1\/60*w**6 + 0*w**5 + 2\/7*w**7 + 98*w**2 + 0 + 0*w. What is the first derivative of a(f) wrt f?\nAnswer: 240*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 42*i**2 - 34*i + 17. Let f(v) = 7*v**2 - 6*v + 3. Let g be (1 - 2\/4) + 2814\/84. Let b(r) = g*f(r) - 6*h(r). Let c(m) = 5*m. Give b(c(x)).\nAnswer: -350*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.1, 0, -0.5, -5101, 8, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122864972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098260.45 less than 26?\nAnswer: 2098286.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106\/13 + 411\/52. Which is the closest to 0.01? (a) -1 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 5. Suppose 1350 = 305*m - 295*m. Suppose 7*j - 4*j - m = 0. What is the highest common divisor of j and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4933399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426.953 litres to millilitres.\nAnswer: 426953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/3 + 3*r**2 + 4*r - 1. Suppose 3*l = 12, l + 2 - 1 = v. What is the units digit of y(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 845 = -875 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3103, 3, 3024 in increasing order.\nAnswer: 3, 3024, 3103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 4*b - 662 = 0, 239 = n - 5*b. Let q = n + -1494\/7. Is -0.2 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1517, 6064, 13637, 24236, 37861, 54512, 74189?\nAnswer: 96892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 44074?\nAnswer: -1\/22037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -21) + (4 + (-1 - 12) - -3) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(-a - 2*a - 4*a)*(1 - 5 + 8)*(4 + 2*a - 4) to the form t + z*a**2 + x*a and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124775*u**2 + 10*u + 1285 wrt u?\nAnswer: 249550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650579.\nAnswer: 19, 97, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + 0\/(4 - 3). What is the greatest common factor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3137 - 3135) + 1 + 32 + 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 10*x + 58. Calculate n(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 11*g**2 + 8*g - 69. Let s be d(-12). Let i(h) = -3*h + 1. Let z(o) = -15*o + 6. Calculate s*i(f) + 4*z(f).\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 0*s)*(0 + 0 - 2*s**3 + (-2 - 3 + 4)*(-4 + 2*s**3 + 4))*(726 + 585 - 497).\nAnswer: 3256*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazwawwaawawz. What is prob of sequence wz?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 8*x - 2*x - x**2 + 6 - x. Let v be n(-2). Which is smaller: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 333?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.44 - -12.74. Let z = 2 - -1. Let h = -9 + 5. What is the second smallest value in h, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 7*j**6\/360 - j**5\/120 + j**4\/24 + j**3\/3 - 15*j**2. Let s(f) be the first derivative of w(f). What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Let x be 7 - (3 + -1) - -1. Suppose 2*u = -u + x. Put r, 4, u in decreasing order.\nAnswer: r, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 0 + sqrt(17)*-2 + -3.\nAnswer: -3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r = 718 + 1458. What is the highest common divisor of 697 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -275, -643, -1211, -2009?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -561 at least as big as 377934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74361503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyy. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**9\/30240 + h**8\/6720 - h**7\/5040 + h**4\/12 + h. Let i(d) be the third derivative of b(d). Suppose i(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-17)*(-187)\/(-165).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*t - 7, -5*t + 12 = -2*t + 5*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from tfiykfkffyfdkfffyt.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 5427?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 34*c**2 - 47*c - 282. Give d(-35).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42841, -42839, -42827, -42799, -42749?\nAnswer: -42671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68917.89 weeks to milliseconds.\nAnswer: 41681539872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 4. Let i be f(0). Let y = -71.5 - -71. Sort y, i, 1.\nAnswer: i, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1402 (base 11) to base 6.\nAnswer: 12225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9419*q + 24 = -5*u - 9425*q, 4*u = -2*q - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*h + 824 - 1932 - 5470 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92089653 to the nearest integer?\nAnswer: 9596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 192. What is the hundreds digit of (3 - 1)*3336\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 5)*(-x + x**2 + x) + 0*x**2 - 2*x**2 + 0*x**2 + (-86*x - x - 230*x)*(1 - 1 + 2*x) in the form i*x + y*x**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**22\/(h**(-1))**(6\/23) assuming h is positive.\nAnswer: h**(-500\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 2. Let j be 1*(-5 + 4) - -2*2. Determine t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:03 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32\/8*285\/270*18\/4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/((0 + 2)\/1 - 4). Let g be -16*(4 + y\/(-2)). Suppose -5*q - 3*j = 2*j - 15, -13 = -3*q - j. Solve o + 13 = p + q*o, 0 = 4*p + o + g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -227, -515, -919, -1439, -2075, -2827?\n\"Answer: -58*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*j + 18*j + 4730 = 19*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -7*t**2\/2 - 8*t - 5. Is o(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9582551+0.2\nAnswer: -0.7582551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s + 4. What is m(8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -400, -453, -558, -733, -996, -1365, -1858?\nAnswer: -2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 590330 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/3 - 15514*x**2\/3 + 1108030*x - 58557450 = 0?\nAnswer: -7967, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 31 = -5*j, 5*g - 7 = -2*j + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 224 - 52 - 57 - 20*w - 58.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2831 + -2832. Sort i, -1\/3, -12, -0.5 in decreasing order.\nAnswer: -1\/3, -0.5, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37307, 74604, 111893, 149174, 186447, 223712?\nAnswer: 260969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuxtxtxutuittbbbxat. Give prob of picking 1 a, 1 x, and 1 i.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6, -6*y + 22 = -y + f. Suppose -3*k - 4*x = x - 27, -4*k + 36 = -y*x. Let z = 19 - 10. Calculate the smallest common multiple of k and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -308\/15 + 61\/3. Let x = 7947\/10 + -794. Let j = x + q. Which is the second biggest value? (a) -0.2 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505 (base 7) in base 10?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/13)*g\/((g\/((g\/(g*g*g\/g**(1\/8)*g))\/g))\/g))\/(g**2*g**(-2\/5)\/g))\/((g**(-2)*g)**18)**(4\/9) assuming g is positive.\nAnswer: g**(2433\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -27. Suppose -24 = r + 3*j + 6, 2*r + 5*j + 57 = 0. Let u be 1\/4 - r\/28. Calculate the highest common divisor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/90 - (-4)\/(-10). Let i = -0.149716 - -0.049716. Which is the nearest to i? (a) 2\/13 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11466649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483250014.\nAnswer: 2, 61, 12157787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -18501 (c) -3 (d) 4 (e) -83 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4747 divide 431788027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from zznnzzszsn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 117*a**3 + a**2 - a - 1. Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*k = -5*k - 24, 0 = -m - 4*k - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -0.03561 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u**5)**(-31) assuming u is positive.\nAnswer: u**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-q + 4*q - 2*q) - q + q + q + 2*q - q - 3*q + (5*q + 12*q + 25*q)*(0 + 4 - 3).\nAnswer: 43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/5)\/(6\/(-15)). Let h = -17 + b. Suppose 4*k - k - 4*o - 17 = 0, o = 5*k - 51. Calculate the greatest common divisor of h and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-3\/5)\/p))\/(p\/p**(1\/11)))**(4\/15)\/(p\/((p\/p**(2\/3))\/p)*p*p**6\/p*p)**(-48) assuming p is positive.\nAnswer: p**(114524\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 105399 divided by 3622\nAnswer: 105399\/3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1230 divided by -30\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 + 328 = 72*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -662 - 15134?\nAnswer: -16016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1859\/10 - 190. What is the common denominator of z and 9\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27297023 rounded to 2 decimal places?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4968 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)*(-49)\/(-98). What is the closest to u in 0.5, -5\/64, -3\/8?\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -46*i + 70. Give x(8).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3185 divided by 138.\nAnswer: -3185\/138","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15668377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20256529 - -20256546.800326. Let o = -154.8 - -137. Let v = h + o. What is v rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0*m + 2\/25*m**4 + 0 - 18\/25*m**2 - 16\/25*m**3 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40901 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1515, -1521, -1527, -1533, -1539?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1823076, 3646139, 5469190, 7292223, 9115232, 10938211?\n\"Answer: -f**3 + 1823070*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -283066*m**2 + 205077.\nAnswer: -566132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83258 and 1064.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 565 = -4*f - 563, -8 = 3*f + p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 29. Let f = 21.9 + w. What is f rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*y**2 + 2*y**2 + y**2 - 1 + 315*y**3.\nAnswer: 315*y**3 + y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74.24901 + -0.17701. Let x = 74 - g. Let z = 0.308 - x. Which is the biggest value? (a) z (b) -5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -0.6902356600058.\nAnswer: -2.6902356600058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6196.791 + 4767.351.\nAnswer: 10964.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013726 rounded to four decimal places?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.57 (c) -1\/4 (d) -2\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -40361, 0, -2 in decreasing order.\nAnswer: 1, 0, -2, -4, -40361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, s: 14}. What is prob of picking 1 s and 2 w?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 - 4.39. Which is the closest to 0? (a) y (b) -1\/4 (c) -3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775 = -5*f + 5*b, 3*f + 2*b = 3*b - 463. What is the remainder when 106 is divided by (-4130)\/f - (-2)\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07546? (a) 2 (b) -1\/3 (c) -0.11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 159813*k**2. Let p(y) = -12*y. Determine x(p(t)).\nAnswer: 23013072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 + 4*j - 3. Let h be k(3). Let o be (5 + -3)\/((-6)\/h). What is the tens digit of -24*o*(-5)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -32\/3. Let j = 0.78 - 0.9. Let s = j + 0.02. Is u at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/570 and 143\/240?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399454 divided by 67.\nAnswer: -5962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 195. Let q = 43 - j. Solve -2*x + 3*d = 25, -4*d = -q*x - 0*d - 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:45 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307026 or -307133?\nAnswer: -307133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 16*a + 12. Solve -n + 3 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1470 and 210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/120 - 7*o**5\/60 - o**4\/3 - 3*o**3\/2 + o**2. Let d be w(-6). Differentiate -3 + 2 + d + 3*t wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 80832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 4, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -55322052.\nAnswer: -27661026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 + 365*o**4 - 2027*o**3 - 2*o**2 + 5*o - 59278.\nAnswer: -60*o**2 + 8760*o - 12162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/5 + 28*f**3\/5 = 0. What is f?\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 705862 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((15\/(-12))\/(-5)). What are the prime factors of 16\/24 - d\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oapkpapakpspaspk. Give prob of picking 1 a and 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884958 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1625.22*-0.23.\nAnswer: -373.8006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p)**(-1\/15)*p**(-9)\/p*p**6*p assuming p is positive.\nAnswer: p**(-134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2*(-33)\/(-6). Let v be (-34)\/176 - 2\/r. Is v >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -195, -402, -631, -894, -1203, -1570?\n\"Answer: -2*a**3 + a**2 - 196*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 10*v - 4. Let k be o(9). Suppose -l + 9 - 1 = -4*c, -k*l = 20. Let w be 8\/12 - 157\/c. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2975 and 83725?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 8*b - 3*l = -120606, -30180 = -b + 4*l. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121189795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19238*v + 6 - 19245*v - 3 - 3. Let r = 5 + 1. Let d(y) = y + 4. Let j(u) = 9*u + 33. Let m(x) = -33*d(x) + 4*j(x). Give r*k(t) + 13*m(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38905 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 355 by -37.\nAnswer: -355\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 350*d - 64744. Determine l(185).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6. Let q(x) = 18*x - 1. Let c be q(-1). Let z = c - -39. Suppose -4*n = -4*p + 20, 2*p + 4*n = -3*p - z. Give o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.0212 (c) 1\/6 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 36*g + 32 + 104*g + 26*g + 44 to the form s + u*g and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y**2 + 2*y**2 + 2*y**2)*(3*y**2 - 4*y**2 + 3*y**2) + 2*y**3 - 38*y + y**4 + 63*y + y**4)*(-2 + 4 + 0) + 26 - 6*y**4 - 26.\nAnswer: 14*y**4 + 4*y**3 + 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4\/3*391932\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -704 + 702. Which is the closest to -2\/7? (a) g (b) 0.4 (c) -0.06 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -246775 - -4?\nAnswer: -246771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 3*r**5\/20 - 7*r**2. Let t(g) be the third derivative of -g**4\/24 + 707*g**2. Determine v(t(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 29*d**4\/4 + d**3\/3 - d**2 + d - 3. What are the prime factors of a(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9107387630 to the power of 1\/2, to the nearest integer?\nAnswer: 95433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*g - 706*g + 2015 = 5429 - 18338 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:02 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8*26*288\/3120?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -86331\/20 less than or equal to -4317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u + 3. Let l(s) = -s - 1. Let k be ((0*1\/3)\/1)\/(-2). Suppose -17 = t + 4*x, k = 2*t + x - 2 + 1. What is t*l(g) + w(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36*((-245)\/10)\/49.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -28, -49, -76, -109, -148, -193?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4383 and 6818?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/66 + 252\/693.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 - a**3 - 11*a**2 + 5*a**2 = 0 for a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34390.\nAnswer: 2, 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*-2*sqrt(190) + ((sqrt(190) - sqrt(190)*-2) + sqrt(190))*-6 + sqrt(190))\/((sqrt(300)\/sqrt(90))\/sqrt(3)).\nAnswer: -39*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 41*a**3 - a**2 + 34*a - 21. Let j be w(4). Which is smaller: j or 2720?\nAnswer: 2720","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52\/5 of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692017 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.6, 5, 2, 97067, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508497, 508498, 508499, 508500, 508501?\nAnswer: 508502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*l - 22 = 1265*l, -2164 = 2*d - 98*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/((-1)\/35). Let k = -2 - -20. Suppose f = 4*z - k. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 17*p + 64 = 0. Calculate the remainder when 46 is divided by 3 - (-5 + p) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -492198 or -492199?\nAnswer: -492198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*-2*1\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 41 + 16. Let w = m - -23. Let u be 2\/(-2)*(w - 13). Solve 5*l = 4*a + 22, 0 = -3*l + 3*a - 2*a + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let u(c) = -l - c - c + 5*c + 7*c**2 - c**3. What is the remainder when u(7) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 2, q: 2, z: 1, r: 4}. What is prob of picking 1 r, 1 z, 1 x, and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.076478 millennia?\nAnswer: 7.6478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 + 7*f - 1 - 6.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 28. Let x be 1524\/138 + (-13)\/299. Calculate w(x).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 601332 + 562?\nAnswer: 602224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*j + j**2 + 0*j**2 - 184*j + 19*j - 4*j**2 as f*j + a*j**2 + t and give f.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 - 11*v**2 + 4*v**2. Let l(q) = -26*q**2 - 108*q. Let r(t) = -2*t**2 - 9*t. Let f(n) = -l(n) + 12*r(n). Calculate f(o(w)).\nAnswer: 338*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - r - 1. Let h(k) = -4*k**2 + 3*k + 3. Suppose 0 = 3*g - 5*c + 13, -5*g - c + 3 = -6*g. Give g*n(z) - h(z).\nAnswer: 5*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t**3 - 3*t**2 + 3*t - 3. Let r be m(2). Let x(z) = z**3 - 11*z**2 + 2*z - 2. Let g be x(11). Let j = r + g. What are the prime factors of j?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 22 - 99 = 0. Let l(a) = -a**2 + 8*a + 8. Let n(h) = -2*h**2 + 15*h + 15. Let c(i) = 5*l(i) - 3*n(i). Is 37 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 - 252. Calculate the greatest common factor of 90 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**3 - r**2 + r + 2. Let b be a(-2). Let f be (-4)\/20 + b\/5. Suppose -36 - 13 = -f*m. Solve j - m = -c, -2*j + 10 = c - 0*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 141*g + 4*g**2 - 288*g + 4*g**3 - 2*g**2 + 144*g + 2*g**3. Let o be n(1). Solve 5*u + o*p + 35 = u, 0 = -5*u + 3*p - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 20*o - 88. Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/1000*70\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z + z - z**2 - 2*z - 5*z**3 - 1. Let j be o(-1). Suppose 2*x = m + 7, 6*x - 3*x = -j*m - 6. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 745892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1704 - -1704. Let x(p) = 3*p + 14. What is x(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.93781 litres in millilitres?\nAnswer: 25937.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 10*u + 2. Let g(b) = 6*b**2 + 30*b - 7. Let f(z) = -2*g(z) - 7*t(z). Suppose -j = 18 - 13. Let p be f(j). Solve -10*r + 6*r - 4 = p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0.48, -1\/10, -1 in increasing order.\nAnswer: -1, -1\/10, 0.48, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7826 divided by -7826\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6500?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(24)\/sqrt(392) - sqrt(12)\/(3*sqrt(4))))*-1 + -2)**2 + 4.\nAnswer: -32*sqrt(3)\/21 + 2956\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 73 = 5*r, -3*r = -2*n + 4*n + 43. Let x be (-36)\/306 + 219\/r. Is (-3954)\/x + 2\/(-13) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 45838 - 9252 = 0. What is k rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 17*q**3 - 6*q**2 - 4*q + 22. Is 11 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -2, -69, -208, -443, -798, -1297?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2*w**5\/5 - 37*w**4\/2 + 26*w**3 + 37*w**2 - 76*w - 577. Suppose o(t) = 0. Calculate t.\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4665895 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14412.\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-20) - 1\/5. Let j(g) = f*g - 5*g + 2 + 1 + 2*g**2. List the prime factors of j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148560507 divided by -2003.\nAnswer: -74169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h + 63. Let o(g) = 6*g - 31. Let x(t) = -15*o(t) - 6*w(t). Is x(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631803.\nAnswer: 3, 210601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -71720, 3, 5, 5\/4.\nAnswer: -71720, 0.3, 5\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 - 246. Solve -y*t + a - 3 = -t, 0 = 3*t + 3*a - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2392924 (b) 5\/2 (c) -0.27 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170501650 a multiple of 2053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 12*w - 1. Calculate o(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8246 + -8252. What is the closest to 1 in -2\/3, g, -5, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3\/3 + 4*y**2 - 6*y - 2. Let m be g(-9). Factor -9*n**3 + 5*n**2 + n**2 + 13*n**m - 2.\nAnswer: 2*(n + 1)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -10 - (-2 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8*b = -60. Suppose 2*p - 468 = -b*p. Calculate the remainder when p is divided by -2 - (1*-24)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 337*f**2 + 9*f + 4006. Let u(k) = -75*k**2 - 2*k - 1001. Calculate -9*u(o) - 2*y(o).\nAnswer: o**2 + 997","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -2 + 24 + 67 + (2 - (6 + -3)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/(3\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*p = -30, -2*p + 975 = 963. Sort -12, n, 2, -14 in decreasing order.\nAnswer: 2, n, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7 + 59\/118*44\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208280669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 + 215. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000588 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24524266 divided by 231361.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(6) - 3*sqrt(6)*-5))\/(-4*(sqrt(162)*1 + sqrt(162))).\nAnswer: -sqrt(2)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, 0.3, -5, -10 in increasing order.\nAnswer: -16, -10, -5, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.09783 and 2?\nAnswer: -6.19566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14413 + -14415. What is the closest to 1\/18 in 0.25, j, 5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - g + 51, -2*n + 4*g - 74 + 86 = 0. Sort 3, n, -23 in ascending order.\nAnswer: -23, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:23 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14679 - -14699.2255. Let d = -0.2455 + h. Let f = d + 5.72. What is f rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/(-35))\/12*112\/224?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1008685 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -5*z**4\/4 - z - 75. Let q be d(-1). Let g(h) = -h**2 + 2*h + 3. What is g(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3018 - 6112. Factor -r*m + 1826*m + 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806.4*0.1.\nAnswer: 80.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*q + 26012 = -1098*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o - 2, 124 = 5*w - 4*o. Suppose -w = q - 4*q. Suppose 5 = -a, 2*n + 5*a + 46 = 5*n. What is the lowest common multiple of q and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**20)\/h*h**(-1\/11))\/(h**23*h*h*h\/h**(-3\/8)) assuming h is positive.\nAnswer: h**(-4089\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 137 + 521 = 0. Suppose -76 = 4*b - s. Calculate the remainder when 49 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 21 - 21 + 2*q to the form r + v*q + z*q**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91419211 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3250983*i**2 - 3250977*i + 6 = 0.\nAnswer: -1, 2\/1083661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(-2)\/8*(-16)\/10. Is (-3)\/(u*12\/(-128144)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40506*h**2 + 27*h + 46*h - 73*h.\nAnswer: 40506*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248\/3 - -84. Let u = 13\/48 - -1\/16. Factor r*y + u*y**2 + 4\/3.\nAnswer: (y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -163, -199, -269, -385, -559, -803?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49924539.\nAnswer: 3, 7, 31, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from jjjydydyjjyyj?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/20 + q**4\/6 + q**3\/6 - 11*q. Let f(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/(-45) - 63\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-522)\/(-435)*(-10)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 263 = 53. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -11. Let g be 0\/(-3) + 2\/h. Let d = 0.089 - 3.089. What is the nearest to g in -5, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-692775)\/(-250)*(5\/(-3) - -1). Let w = -1860 - v. Calculate the common denominator of -38\/7 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2621128 divided by 2.\nAnswer: -1310564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.1, 32.24, -0.5, -4 in descending order.\nAnswer: 32.24, 0.4, 0.1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.958 - 25.958. Let f be (2\/(-30))\/((-1)\/2). What is the second biggest value in -1\/7, -0.2, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:37 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 190 - -10?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 395543, 395391, 394975, 394163, 392823, 390823, 388031, 384315?\n\"Answer: -22*q**3 + 2*q + 395563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11452725 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 22*b**4 + 38*b**3\/3 + b + 81. What is the third derivative of f(i) wrt i?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/8)\/((-2)\/12). Let h = 2 + i. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/37 + -4178\/333. Which is bigger: u or -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, l: 2, u: 5}. What is prob of picking 1 u and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1283 - 603 - 2*y - 401 as c*y + b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33027340 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 500000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -779 + -3?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*k + 324*k + 10305 = 0. What is the greatest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 9*j**2 - j - 7. Suppose -9 = 3*b + 18. Let t be n(b). Is ((-111)\/6)\/(t\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 3. Let o be (-102)\/(-30) - 3\/(-5). Suppose -o*s = -5*s + 95. Let y be s\/35 + 2\/7. Calculate i(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + 132.9676. Round y to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.33 + -23.53. Let v = 2.03 + -0.03. Which is the nearest to v? (a) -5\/4 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -3*j, 2 = -3*i - 2*j + 20. Let z(h) = -i + 2 + 4*h - 2*h. Let m be z(4). Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5422)\/(-18) + 4\/18*-1. Let b(f) = 301 + 2*f**2 - m. Let t(r) = 35*r. Give b(t(c)).\nAnswer: 2450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3\/5, 2 in decreasing order.\nAnswer: 2, -3\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 761348 and -25000.\nAnswer: 736348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 167.5 from 23.\nAnswer: -144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 5*t + 5. Let b(d) = -57*d - 1 - 64*d - 56*d + 178*d. Calculate 10*b(u) + 2*j(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10602 divided by -57\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*f - 2*h + 70, -h = -5*f + 100. Suppose -j = -f + 7. Solve 4*c + 2 + 5 = -3*i, -j = 4*i + 4*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10741106 and 334.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -100215 in -2\/15, 3, -93.4, 0.2?\nAnswer: -93.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3788, 7579, 11368, 15155, 18940, 22723, 26504?\n\"Answer: -x**2 + 3794*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-125)\/10 + 8)\/((-6)\/8). Let u(o) = 46*o**3 - 12*o**2 + 13*o + 17. Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + 60b4?\nAnswer: 6087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 - 1 - (-1 + (-9)\/(-3)). Which is bigger: 180\/11 or k?\nAnswer: 180\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8006 - -8006. Factor 0*z + b + 2\/7*z**4 - 10\/7*z**3 + 8\/7*z**2.\nAnswer: 2*z**2*(z - 4)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h - 8. Let f(d) = -35*d + 15. Calculate -6*f(j) - 11*m(j).\nAnswer: 12*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99247 + 8*n - 99247.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1638 times 0.07\nAnswer: -0.011466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-105)\/(-114)) - 3\/7. List the prime factors of 20 - 13 - -26*s.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 8231360?\nAnswer: -8231361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**6\/360 - h**5\/30 - 5*h**4\/24 - 85*h**3\/3 - 37. Let z(c) be the third derivative of p(c). Determine z(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:37 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 33*c**3 - 2*c**2 - 4*c + 11. Let m be w(2). Let p be 9\/(-1) + m\/35. Is p bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**2 + 9*w**2 + w**5 + (0*w**3 + 3*w**3 - 2*w**3)*(2*w**2 + 2 - 2).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-369088)\/(-64) - (7 - -2)?\nAnswer: 2, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16301 = -297*v - 1748 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088955 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 126532 = 4*x - 12953. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7713462860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmmoffffmmfosxmmfsf. What is prob of sequence moxs?\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-89.\nAnswer: 35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -9.9. What is the nearest to a in -0.2, 3, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1*(sqrt(245) + 0) - (1 + sqrt(245) + 0))**2 - (((sqrt(245) + 0 - sqrt(245))*-4)**2 + -1)) + 3)*-1.\nAnswer: 140*sqrt(5) + 4907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4\/5, 2 in decreasing order.\nAnswer: 2, 4\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 + 124. Let w(b) = b**2 + 14*b + 47. Let y be w(v). What is the greatest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/h)**(1\/9)\/((h\/h**(-6))\/(h**(-4)\/h)) assuming h is positive.\nAnswer: h**(-547\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -3.5. Let g = -33.8 + 37. Let p = g + v. Put p, 1\/10, 3 in decreasing order.\nAnswer: 3, p, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3362963*((-2277)\/456 - -5). Let p = s - 22124. Let m = -9\/76 - p. Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242c0 (base 14) in base 10?\nAnswer: 88368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771 (base 14) to base 11.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 16*v + 53. Calculate l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + p - 50 = 0, -4*d = -0*p - 3*p - 58. What is the remainder when 63 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*r + 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9211.102mm to micrometers.\nAnswer: 9211102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341\/3053 + -3\/3053. Calculate the common denominator of x and -47\/173.\nAnswer: 12283","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let g(j) = -j**2 + 3*j - 3. Let n be g(v). Let l = n + 21. Solve -6*k + 2*k + l = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -902 to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 43 = d - 2, 0 = -5*d - 5*o + 200. Suppose 51*a - 5*s = 56*a - d, -5*s = -15. Solve -4*t + a*v + 16 = 0, 0 = -3*t - 4*v + 7 + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2224 + -1542?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 125 = -5*y. Let a = y + -15. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-8610 - 5747 + 12154)*(0 - 2 + 3)*(s + 3*s - 2*s).\nAnswer: -8812*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24074440 and 268.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -60*d - 4. Calculate the remainder when 278 is divided by b(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 * 18.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-68)\/(-24)) + (-115)\/(-30) + -9. Sort 40, 3\/4, -0.1, z in decreasing order.\nAnswer: 40, 3\/4, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4756 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1494345 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, i: 6, g: 3, b: 1, q: 1}. Give prob of sequence gb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*o = -287 + 1357, -2*o = 4*t - 860. Let i be 54\/4*(-6)\/(-3). What is the highest common divisor of t and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/12 + j**3\/2 - 3*j**2\/2 - 2*j. Let d be a(4). Let l be 0 - 7*(d + -1). What is the greatest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155604 + 25?\nAnswer: -155568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4306*k + 1 + 1.\nAnswer: 4306*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 2554612 = 2552562 for c.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 4) in base 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82*-1*(-2)\/4. Suppose 2*y + s = -31. Let m = y + 51. Solve -c + 2 - 17 = 5*q, -3*c + m = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4093 - 4099. Sort 2, s, -46\/9 in decreasing order.\nAnswer: 2, -46\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 50*a - 37. What is l(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.12 (b) 44 (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {l: 1, r: 1, s: 1, e: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/100)\/((-2)\/(-170)). Let u = -62 - k. Is u < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/366 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 131, -20, 5, -3 in descending order.\nAnswer: 131, 5, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -270101 and -608270?\nAnswer: 338169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -115267.\nAnswer: -15\/115267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 24, 0.4, -32, -0.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*c - 25284, -25308 = -f - 145*c + 150*c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0)\/(k*k\/((k*k\/(k*((k**(-5)*k)\/k*k)\/k))\/k)*k))**37*(k**6\/k)\/(k**(-2\/19)*k)*k**3\/k**2 assuming k is positive.\nAnswer: k**(2206\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/7 (b) 183\/17 (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.434743 + 2.\nAnswer: 1.565257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 + 174. What is the least common multiple of 7 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29168 = -3*b - 4*m - 29160, 3*m - 7 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k - 78. Let w(n) be the second derivative of 7*n**3\/6 + 26*n**2 - 9509*n. Calculate 7*w(v) + 5*y(v).\nAnswer: -v - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*d**2*m**3 - 13*d - m**3 - 7*m**2 wrt d?\nAnswer: 174*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 15) + -12 + 4\/(12\/15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/20 + 4*(210\/75 - 3).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfrfjsrsdscrrsrrc. Give prob of sequence frcj.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/13 - 42*d**4\/13 - 102*d**3\/13 + 10*d**2 + 408*d\/13 + 216\/13 = 0. Calculate d.\nAnswer: -18, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*s - 22*s - 10 - 5 + (1 - 3 + 3)*(-3*s + 2*s - s) as w + d*s and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 534, 1115, 1864, 2835, 4082, 5659?\n\"Answer: 9*r**3 + 3*r**2 + 395*r - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/20 + h**4\/6 - 17*h**3\/3 + 1358*h**2 - 2*h - 1. Calculate z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 2*c**3 - 5*c**3)*(-7*c + 2*c + 2*c)*(4*c + c - 4*c).\nAnswer: 21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167793064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w**3 + 25*w**3 + w**3 - 5*w**3 + 4*w**3 + 2*w**3 + (0*w**3 - w**3 + 4*w**3)*(1 - 3 + 1) as p + j*w**3 + z*w**2 + t*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n + n + (1 - 1 - n)*(-4 + 4 + 1))*((1 - 2 + 0)*(0*n - n + 3*n) - 2*n - 2*n + 5*n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - g**5 - 2*g**2 + (0*g - 3*g + g)*(0*g**2 + 0*g**2 + g**4) + 2*g**5 + 0*g**5 + 0*g**5.\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0 - 1 - 3*p + 4*p**2 - p**2. Let a be 3 + (2 - (3 + -2)). Is b(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 6*g + 7. Let h be j(6). Let x(k) = 7*k - 58. Let y be x(8). Sort y, h, -3 in decreasing order.\nAnswer: h, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1199166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46905 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - 126. Let z(w) = 7*w**2. Let l(u) = -u**3 - 50*u**2 + 2508*u - 238. Let v be l(-81). Let g(t) = 60*t**2. Give d*z(s) + v*g(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-20)*(-49)\/((-13377)\/(-975))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 936?\nAnswer: -93b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 12, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 28866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 + -1.1. Let u = h - -1.2. Let k(o) = 5*o**3 + o**2 + 2*o + 1. Let i be k(-1). Which is the second biggest value? (a) u (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = 31*s + 166 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 333073399 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 516 and 468.\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-72)\/20*11\/((-66)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 14*i - 43. Let l be x(-5). Calculate the remainder when l\/(-8)*3*2416\/(-12) is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11161 - -21605. What is the highest common factor of y and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2172621, 8690489, 19553603, 34761963?\n\"Answer: 2172623*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = 5*x, -p - 5 = 4*x - 22. Let h = x + -1. Suppose 665 = h*c + 3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2754, 1, 0.7 in descending order.\nAnswer: 1, 0.7, 1\/2754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 3. Let r(v) = 2*v**2 - 2*v**y + 4*v - 3 - 2 - v**2. Calculate r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgphppppgghhphhhpgph. What is prob of picking 1 g and 1 p?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673736 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4 - 4670*f**3 - 13974*f**2 + 41966*f - 23320 = 0. Calculate f.\nAnswer: -2332, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 2*s. Let c be a(1). Let t(g) = g - 5 - 3 - 2. Calculate t(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from dyydsddddsp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/15*45\/(-3). Let d be (-160)\/25*o*1. Factor 2*g - d + 32 - 2*g**2.\nAnswer: -2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12123 - 3?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(65)\/(sqrt(10)\/sqrt(2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(85) + sqrt(85)*1))\/(sqrt(5) - (sqrt(10) - sqrt(50)\/sqrt(5))\/sqrt(2)) - (0 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*-2) - sqrt(1377)) + -2)**2.\nAnswer: -12397 - 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.161235 weeks?\nAnswer: 3121514928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummmeueueueeuuumuuu. What is prob of sequence em?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/3 - 1874420*y**3\/3 - 146393764014*y**2 + 7497680*y\/3 + 1756725168200\/3 = 0. What is y?\nAnswer: -468605, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -284 - -287. Suppose 0*r - 3*o - 3 = -2*r, -3*r - 4*o + 30 = 0. Solve -v - r = -k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 467250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.0795164 - 0.0689254. Let h = 1.01 - w. What is h rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.909 + 26.909. What is the third biggest value in 2\/3, 0, -90, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10263 and 15432351.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 70 = 7*u. Calculate the lowest common multiple of 11 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705984352 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h - 6*h - 33*h - 6*h**3 + 22*h.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/7808 and -53\/210816?\nAnswer: 210816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*o**2 + 5 + 106*o**2 - 32*o**2 - 54*o**2 + 2*o**3 - 36*o**2 to the form w + m*o**3 + k*o + r*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.21176 + 29.269458\nAnswer: 29.481218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/17)\/w)\/w*w**1 assuming w is positive.\nAnswer: w**(-14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766427 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -454 - -536. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -15, 0.4, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 318*g**2 + 249*g. Let w(b) = 91*b**2 + 71*b. Let i(x) = 5*v(x) - 18*w(x). Let f(o) = -3*o**2 - 2*o. Give -33*f(k) + 2*i(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672284 - 52950 - 1809650 = -212*z. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4637731019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57446 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-5\/7)\/g*g*g))\/(g**(-5)\/g))**(-2) assuming g is positive.\nAnswer: g**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264*y**3 - 148*y**3 + 201*y**3.\nAnswer: -1211*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243484 is divided by 591.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6. Let p(z) = -4*z**3 + 2*z - 1. Let b be p(o). Is (-127)\/b - (-1)\/(-3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17162234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1018*r - 192664. Give c(189).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15305 times -381?\nAnswer: 5831205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(15\/8)\/(u*u\/u**(-4)*u*u*u))\/((u*u*u*u**(-13))\/u*u**(1\/46)) assuming u is positive.\nAnswer: u**(709\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/11 + 3202388*d\/11 + 25618976\/11 = 0.\nAnswer: -1601186, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (8 - 7) + (-9 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61b4a - 239?\nAnswer: -62187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10970 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*r - r. Suppose 36 = 5*s - r. Calculate the remainder when 46 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqj when three letters picked without replacement from hgqhqhhqhjcjh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12*1*(-6)\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69217979149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(350\/(-4) - 6)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 186358899 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:13 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -500556?\nAnswer: 500557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*f**2*t**3 - 253*f**2*t**2 - 3*f + t**3 + 189*t**2 wrt f.\nAnswer: -112*t**3 - 506*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 22. Sort 1\/6, -1\/2, y.\nAnswer: -1\/2, y, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 - 2*z - 166167. Calculate o(-144).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 2. Let n be c(2). Let p = 1 - -4. Let d be -2 + 4\/6*6. Solve -p*y = -y - s, -n*s = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 + 6 = 0. Find the second derivative of -b*k - k**2 + 9*k**2 - 8*k**2 + 3*k**3 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**2 + 5*l**2 + 5*l**2)*(-1 + 1 + 2*l)*(l**2 + 3*l**2 - 6*l**2) - 46 + 43*l**5 + 46 - l**5 + 5*l - 5*l.\nAnswer: 34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/9 - h**3\/9 - h**2\/3 - 4*h + 4. Let z(j) be the first derivative of d(j). Let z(m) = 0. What is m?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -163*p**2. Let q(b) = 15974*b. Determine g(q(k)).\nAnswer: -41592494188*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.52 and 29333.\nAnswer: 15253.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -40\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n = -3*r + 6, 8 = 2*n. What are the prime factors of r + (-4)\/(12\/(-45))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 4*o. Let n(k) = -2*k**2 - 3*k. Give -3*l(p) + 4*n(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -791588.\nAnswer: 1\/791588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/2, -3, 1 in decreasing order.\nAnswer: 1, 1\/2, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 7*f - 3. Let u be k(-6). Solve -b + u*b - 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59486855 is divided by 369.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004991384 to seven decimal places.\nAnswer: -0.0000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/3 + 83*w**2 + 328*w + 980\/3 = 0.\nAnswer: -245, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099513237?\nAnswer: 37, 56743601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 369 * 0.02343\nAnswer: 8.64567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 4. Let l be u(5). Let j = -8 - l. Calculate the least common multiple of j and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c + 8 + 8 = -15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205 + 209. Let j = m - 84. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737912 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + o + 45. Let b = -2 - -41. Calculate the remainder when b is divided by o\/(-12) + (-118)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -7*q**5\/20 + q**4\/6 - q**3\/6 + 19*q. Suppose 5 - 13 = -2*y. Let x = 5 - y. Give j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -a. Let b(r) = -r**3 + 3*r**2 - 2*r + 7. What is the least common multiple of a and b(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93123.\nAnswer: 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 0.2 (c) -2\/51 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 48*g - 72*g - 102 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456960 and 418880.\nAnswer: 5026560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 21 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 9:52 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*d = 20940 + 26855, 38243 = 4*n - 3*d. Round n to the nearest 100.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (sqrt(2057) + 1 + 0 - ((-3*sqrt(2057))**2 + sqrt(2057))*2))*-3.\nAnswer: 165*sqrt(17) + 555450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.34 in -28, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*n**3*p - m*n**3*p - 27*m*p - 20*n**3 - n**2*p wrt m.\nAnswer: 4*m*n**3*p - n**3*p - 27*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Suppose 13 = 4*b + w, 2*b + 5*w + 0*w + 7 = y. List 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 hundred thousands digit of 51958186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 10*c**2 - 2*c**2 + (-3 + 2*c + 3)*(-4*c + c + c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 t when four letters picked without replacement from tttbbbbbt?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 + 12 - 12 + w to the form x*w + g*w**2 + s and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 x when three letters picked without replacement from {h: 1, x: 4, f: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b**3 - 2*b**2 + 4*b + 6. Let h be d(4). Suppose -2*g + 808 = m, 3*g - 2*m - h - 191 = 0. List the prime factors of g.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84171*a**2*c - 14731*a**2 + 2*a*c*s - 3*a*s - 29*c wrt c?\nAnswer: -84171*a**2 + 2*a*s - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112535 + -3235193160?\nAnswer: -3235193160.112535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*z - 12, -5*z = d + 20 + 2. Let i be (27303\/38)\/((-1)\/d). What is the derivative of -i*y + 1437*y - 2 - 21*y**2 wrt y?\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.178721*1.7\nAnswer: 0.3038257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 577, 2053, 4427, 7699, 11869, 16937?\n\"Answer: 449*n**2 + 129*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 28*f + 126. Let c be j(6). What is the biggest value in -4, -1\/3, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 8*b - 2. Let o = 21 + -19. Suppose 3*u - 6 = -o*x, -u = 2*x - 4 - 6. Determine w(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/5))**20)**(2\/25))**(1\/2))**50 assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 0.2 (c) -2\/11 (d) 4 (e) -5 (f) 9437\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(371\/(-1484))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110977 plus 6.61?\nAnswer: 6.720977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 213672579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -8 - 2. What is the third derivative of -a*o**4 + o**2 - 4*o**2 + 5*o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) - 58\/14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 5*h**2 + 6*h - 1. Let p(r) = -2*r - 2*r**2 + r**2 + r. Suppose 14*j - 5 = 23. Determine j*c(o) + 10*p(o).\nAnswer: -2*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 4*m**2 + 2*m + 4. Let d be i(3). Let a be -2 + (0 + 1)*14. Suppose -a = -2*p - 2*p. Calculate the greatest common divisor of p and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.62 (b) -2 (c) 2 (d) -1\/6 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -2. Let w = d - 5. Calculate the smallest common multiple of 164\/w - 8\/20 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 3. Let j(h) = 3*h - 3. Let s(r) = r**2 - 4*r. Let t be s(2). Calculate t*j(b) + 3*y(b).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30483555?\nAnswer: 3, 5, 2032237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/4))**(2\/143)*(w**(-3\/28)*w)**(-13\/5) assuming w is positive.\nAnswer: w**(-9197\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2151.5 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -116.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - 102. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -64, -161, -338, -619?\n\"Answer: -4*z**3 - 4*z**2 - z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15927942 to the power of 1\/2, to the nearest integer?\nAnswer: 3991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19455 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/3 + 1070*y - 6416\/3 = 0. Calculate y.\nAnswer: 2, 3208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a - 2*t, -4*a = -5*a - 5*t - 12. Solve 0 = -a*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/42826 and -67\/52348.\nAnswer: 48735988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -1\/4, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01885789 and 4.\nAnswer: 4.01885789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*p - 18, 5*p - 11 = 4. Calculate the remainder when 33 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 2. Let b be t(5). Let h be ((-39)\/9 - b)*-27. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2953\/13 + -227. What is the closest to -0.2 in f, -1, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 32*p + 1470. List the prime factors of 9 + p*(-7 - -26).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*r + 10, 2*x + 15 = 3*x - 3*r. Suppose p + 4 - 7 = x. Find the second derivative of 9*l - 7*l**5 + p*l**5 - 3*l**5 wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 2*d**2 + 8*d + 2. Let t be (-7)\/(-2) + (-11)\/(-22). Let f be l(t). Solve -5*j + f*j - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2494\/1740)\/43)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9720363 * -0.2\nAnswer: -0.19440726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**3 + 2*w**2 + 5*w + 4. Let x(o) = o**3 + o**2 + o. Suppose -u - 2*u - 3 = 0. Let f(m) = u*y(m) + 5*x(m). Determine f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 527 + -376. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1745 + 1458 - 530 - 614)*(0*z + 2*z - 3*z).\nAnswer: -2059*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-1 + -5 - (3 - -7 - 10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from ppckksww.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 + 248. Calculate the remainder when 179 is divided by n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.143? (a) -5.3 (b) 1\/2 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*m + 13. Suppose -3*g + y = -m, 2*g - 4*y + 3*y = 9. Suppose -2*u + 3*t + 121 = 0, -u - g*t + 63 = -4*t. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3053433.\nAnswer: 3, 19, 53569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1388 by -4.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*h - 73 + 13, -9*d = -6*d + 3*d + 11*h + 210 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -38. Calculate the lowest common multiple of 22 and j.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d + 2*d)*(-7 + 15 + 66) - 5*d + 0*d + 4*d + (d - d + 2*d)*(0 + 0 - 2) + 1 - 1 + d.\nAnswer: -226*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000081792 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/((-1066)\/(-2132))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2093612 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, 374, 126?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2684 and 5.\nAnswer: -13420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8649 - 7886. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5856 divided by -1\nAnswer: 5856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-3 + -1))*-1. Which is the nearest to 1\/3? (a) l (b) 0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23570000 to the nearest 100000.\nAnswer: 23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20111*d**2 - 20067*d**2 + 40160*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.054 + -0.146. Let t = 8\/25 + 43\/100. Which is the smallest value? (a) -0.01 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(245) + 1 - sqrt(245)) + (-1 + sqrt(245))*-5 + 1 + (sqrt(245) + 1)*-5)**2.\nAnswer: -560*sqrt(5) + 24516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -203, -1036, -3289, -7670, -14887, -25648?\n\"Answer: -118*p**3 - 2*p**2 - p - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.925975 litres?\nAnswer: 9925.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 47*f + 696 = -5*n, -2*f - 48 = -0*f - 14*n for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*j - 656 = -101*j + 478 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 109.9\nAnswer: 109.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 10:20 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/5 + 14*p**4\/5 + 13*p**3\/5 = 0. Calculate p.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 104. Let j be z(33). Suppose -k = 6*s - 5*s - 4, j*s - 5*k = 60. Calculate the remainder when 317 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13154 (base 8) in base 12?\nAnswer: 33a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -1, -4309*b + 35*m = -4312*b + 41 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1073836\/271 != -3963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 8*v + 6. Let x = 11 + -4. What are the prime factors of i(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.04539 or -0.196?\nAnswer: 0.04539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4)*1 + (-579)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56\/(-11550))\/((-12)\/(-1570)). Let m = 4\/45 + o. Find the common denominator of -56\/9 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16))\/((-56)\/96)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 159, 182, 147, 36, -169, -486?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-77) - (-576)\/63?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/660)\/((-58)\/88 + (-1)\/4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501\/2338 - 429\/42.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 5*z**2 - 9*z**2 + 0*z**2 + 0*z**2 + 2*z**2 + (-5*z + 2*z - 2*z)*(0*z - 4*z + 6*z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1314 + 1371 - 42*i**2 + 44*i**2 as o*i**2 + j*i + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -l + 3*g, -3*g - 3 = l + 4. Let m = -7\/75 - -799\/525. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-72) + (-2)\/2. What is the second smallest value in -4, s, -5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*x + 3. Let t = x + 25. Let k(h) = -2*h - 112. Let v be k(-58). Sort v, 21, t in descending order.\nAnswer: 21, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1988 + 1990. Solve 2*v + 14 = 2*j, v + 0*j - 8 = -x*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 1\/4, 1, 14\/5731, 2\/15?\nAnswer: 14\/5731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -x + 13, -31 - 27 = -4*f + 2*x. Let n be (-12)\/28 - 2\/f. Which is the closest to 1\/4? (a) 0.2 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-212)\/(-3))\/((-36)\/(-54)). Let b = u + -61. Calculate the highest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83768554 - -1.\nAnswer: 83768555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*p - 32, 0 = -2*w + 5*p + 45 - 14. Let q(t) = -2 + 5 + 17*t**2 - w. Let x(u) = u**2. What is x(q(d))?\nAnswer: 289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75740.56 millilitres in litres?\nAnswer: 75.74056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m - 66. Let t be o(6). Suppose -u + k = -1, 2*u + 3*k + 3 + 0 = t. Which is the third biggest value? (a) -0.48 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j**2 + 5*j + 5. Let r(c) = 11*c**2 - 6*c - 6. Suppose -h - 18 = -3*s, -5*s + 0*s + 10 = 5*h. Give s*r(z) + 6*y(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1277238 divided by 35\nAnswer: 1277238\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 38 + 13. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwg when three letters picked without replacement from gwizz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 9*a**2 + 10*a**2 + 11*a**2)*(2*a**3 + 3*a**3 - 2*a**3).\nAnswer: 45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 19095*r**2 + 387*r**3 - 19095*r**2 - 5*r + 3*r + 2709*r**3 as q*r**3 + y*r + l + v*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17793)\/33609*1\/3*-1.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004567 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157488*d + 79644*d + 80456*d to f*d + w and give f.\nAnswer: 2612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 42*g**2 + 39. Suppose 2*c = 4*h + 422 + 70, -4*h + 210 = c. Let n(v) = v**2 + 1. What is c*n(z) - 6*f(z)?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p + 165 + 432 = 48 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 12*a**3 + 106*a**2 + 128*a - 246 = 0.\nAnswer: -41\/6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4041809*w + 56 - w**3 - 4041810*w - 22. Give b(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24088 (base 9) in base 14?\nAnswer: 5c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1419.7758 months?\nAnswer: 0.11831465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -198*t**2. Let k(d) = -48*d. Give k(s(u)).\nAnswer: 9504*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393763, -393767, -393773, -393781, -393791, -393803?\nAnswer: -393817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7040)\/192 + 36)*24\/(-2*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 19 + 3)*(-1 + 1 - h).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:54 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102 (base 3) to base 9.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:08 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j + 26*j + 31*j + 16*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -29.711.\nAnswer: -29.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)\/(w\/((w**(3\/35)\/w)\/w)))**(13\/3) assuming w is positive.\nAnswer: w**(-9061\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/2 - 84*b**2 - 2175*b\/2 + 2523 = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-96)*-135 + 3\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v - 2*v**4 + 2*v**2 - 3 - 17*v + 11*v to u*v**2 + y + r*v**3 + l*v**4 + w*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2921 + -2897. Is 43 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c**3 + 26*c**2 - 33*c - 14. Let v(b) = 7*b**3 - 17*b**2 + 21*b + 10. Let d(i) = -7*v(i) - 5*x(i). What is d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6 = -18. Suppose -d = 3*k - 27, 5*d - 115 = o*k - k. Is 8\/d + (-17)\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 126 + 114 = 0. Solve -15 = -u + 4*z, 16 - j = -2*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-27118)\/(-131716)*-1*2\/(-140)\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4896\/124338)\/16*23.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 7*q**2 - 5*q - 13. Let b(o) = -3*o**3 + 7*o**2 - 6*o - 13. What is -5*b(s) + 6*h(s)?\nAnswer: 3*s**3 + 7*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012972 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7518*y**4 - y - 1325.\nAnswer: 90216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.3. Suppose h = k + 2*k - 12, 3 = 3*k + 2*h. Let i be ((-54)\/(-15) - k)\/1. Sort x, 5, i in decreasing order.\nAnswer: 5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-24) - 7\/28.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*g**2 + 6*f**3*g + f**3 - 29*f**2*g**2*s + 6*f**2*g*s + 5*f*g**2*s wrt g.\nAnswer: 4*f**3 - 58*f**2*s + 10*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 19) + 7 + -40 + (-76 - -46).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -47) + (-3 - 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s. Let o(t) = -2*t. Give o(x(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32238314*j**3 - 353*j**2 + 6*j + 2471?\nAnswer: -193429884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0284475024 to four dps.\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 1\/210*f**7 + 59\/8*f**4 + 0*f**3 + 1\/30*f**5 + 0*f + 2*f**2 - 20 - 1\/40*f**6. Find the third derivative of z(p) wrt p.\nAnswer: 24*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 515 = -4*j, 2159 + 394 = 5*d - 2*j. Calculate the remainder when d is divided by 247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 5*b + 0*b + (-4*b + b + 5*b)*(6 - 2 - 3) + 0*b - b + 3*b + (0 - 3 + 1)*(b + 0*b - 2*b) - 4*b + 5*b + b - 3 - 3*b + 3.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - 3*q)*(-2*q - 2*q + 2*q)*((-q + q + q)*(6*q + 68 - 68) - 4*q**2 + 3*q**2 - q**2).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.2 - 38.9. Let v = -1 + -4.4. Put 3\/5, r, v in increasing order.\nAnswer: v, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 2*y + 9. Let f be g(0). Let z(n) = -f*n - 4 + 6*n - n - n - n**2. Let k(s) = -s**2 + 7*s - 14. Let m be k(5). What is z(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/90 and 101\/5570.\nAnswer: 50130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. What is the tens digit of 24 - (s - (1 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3444 + -7?\nAnswer: 343d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1)\/((-3)\/1). Let m = 6 + -76. Let c be (-6)\/(-21) - 36\/m. What is the third biggest value in c, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.98 + -77.98. Let q = l - -77.0000102. Round q to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2460 = 3*u + w, 0*w + w - 2460 = 3*u. Let a = -4044\/5 - u. Calculate the common denominator of ((-26)\/39)\/(96\/(-1260)) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -607 + 616. Which is the biggest value? (a) -0.4 (b) w (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/2 - 1\/6. Let d = -0.4 - 0.6. Sort 2, d, i in ascending order.\nAnswer: d, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*a**3 - 5*a + 344.\nAnswer: 81*a**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 16*v**2 + 15*v + 2. Let n be j(15). Let q be -24 - (0*1\/n - -3). Let k be (-1)\/63 + 6\/q. Is k != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 3 - 3)*(130 - 79 + 241) as l*x + y and give l.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1904*j + 255. Is g(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**3*z**2 + 12*x**3*z - 122*x**3 - 100*x**2 + 2*x*z**2 - 2*z**2 + 1 wrt x.\nAnswer: 12*z**2 + 72*z - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 52*s + 314. Let y be n(-6). What is the nearest to y in -1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Suppose -10*q = -26 - 64. Suppose -6*n = -q - 3. Let l(p) = 7*p**2 - 4*p**2 - n*p**2 + p**2. Calculate c(l(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (3 - -2 - 3) + (3 - 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 104 = -32. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54918 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0773 + -2.591\nAnswer: -2.5137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*g - 136*g + 31*g + 61*g in the form x + y*g and give y.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n - 32. Calculate the lowest common multiple of l(8) and 7.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2599 and 1808.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y. Suppose o + y - 1 = -4*d, 0 = -5*o - 3*d + 22. Suppose 0*b = o*b - 230. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:31 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.031 - 0.831. What is the nearest to 2\/7 in -2\/13, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 7 + 95 = 0. Let l be (-5)\/(-8)*(-14 - n). Is l smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 2. Let f be z(0). Suppose -3*g + 105 = f*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(99) + 5*-1*sqrt(99))\/sqrt(9))**2.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*d**3 + 10*d + d**4 + d**2 - 2*d**2 + 4 + d**4 + 40*d**3 to y*d**3 + m*d**4 + r*d + j + t*d**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/6 (c) 0.01032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 6*r**2 - 2*r. Let c(h) = -h**3 + h**2 + 1. Let i(k) = 2*c(k) - n(k). Let m(d) = -20*d - 518. Let g be m(-26). Determine i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3.8. Let u(l) = l - 2. Let f(a) = a + 14. Let s be f(-8). Let d be u(s). What is the second biggest value in 0.5, d, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 255*x**2 - 1467*x + 66705. Calculate s(-248).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 603919569 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 81. Suppose -r + 0*r + 3 = o, -4*r - y = -5*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.68 - -6.03. Let n = j + 5.75. Which is greater: n or 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let r(z) = -4 - 2*z**s + 5*z + 11*z + 3 - 18*z. Determine r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*q + 1350 + 1170. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + m**2 - 3*m - 2. Let t(b) be the second derivative of 7*b**5\/20 + b**4\/6 - 5*b**3\/6 - 5*b**2\/2 + 21*b - 2. What is 3*t(z) - 5*v(z)?\nAnswer: z**3 + z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - m**3 - 8*m**3 - 257.\nAnswer: -m**3 - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*c + 11 = -5*f + 2664*c, 3*f = 11*c - 31 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, y: 1, p: 1}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 5*u - 8. Let b(a) = 41*a**2 + 39*a - 65. Let c(m) = -7*m**3 + m**2 + 6*m + 3. Let z be c(-2). Let l(p) = z*x(p) - 6*b(p). Factor l(o).\nAnswer: 3*(o + 3)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3 + 3*n**2 - 3. Suppose -4 = -2*x, -3*x = v + v + 20. Let d(i) = 8*i + 6. Let m(o) = -17*o - 13. Let u(l) = v*d(l) - 6*m(l). What is u(t(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/9 - 46*u**2 - 1638*u - 16170 = 0.\nAnswer: -165, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/156 + 1*4\/(-26).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 33. Suppose 2*q = -5*l - 1265, 0 = -y*l + l - q - 505. Let a = -150 - l. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022116 rounded to seven dps?\nAnswer: -0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2240\/(-21))\/((-1)\/550)*3. What is x rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 4*c + 5. Let u be i(4). Let z be (-1)\/u*-13 + -3. Sort 4, z, 2.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -1)*(-513)\/18. Let d = l + 122. Let i(y) = y**3 - 9*y**2 + 8*y - 2. Determine i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10)*0\/(-2). Is -21 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-13*c + 0*c + 6*c + (0 + 0 + 1)*(-34 - 9*c + 34)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57544 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12867 and 15.\nAnswer: 64335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, 0.3, 0.149?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 16*m**2 + 53*m - 603. Give n(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360476 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 + 123)*((-450)\/(-375) - 44\/(-5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6262)\/93 - -66 - (10\/(-18))\/((-18)\/(-27)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyyg when four letters picked without replacement from {g: 10, j: 2, y: 6}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:01 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189946244 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*t + 1206*t - 2405*t - 6*o = -24, 58 = -5*t + o for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30958 - 5881. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 478\/3, 63, -110.\nAnswer: -110, 2, 63, 478\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10317.9 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/(-15) + -3)*2*-6. Let n = g + 90. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 0. Let l = -3 - -25. Let n = l + x. What is the least common multiple of n and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(170)\/(sqrt(10) - 1*(sqrt(20)\/sqrt(2) + sqrt(10)) - sqrt(10)).\nAnswer: -sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 49072904?\nAnswer: 19629161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 2:12 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53\/42 - 10\/7. Which is the third smallest value? (a) k (b) -2\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d + -3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3653084 (base 9) to base 2\nAnswer: -111100100010011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101974, -102651, -103328, -104005, -104682, -105359?\nAnswer: -106036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.329 - -3.329. Let f = 6 - -23. Let z = r + f. Sort z, 0, 4, -0.3.\nAnswer: z, -0.3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-12)*i*i*i\/i**(2\/27))\/(i\/i**(3\/4)*i*i*i**(-6\/5)))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 11*u**2 - 5*u**2)*(5*u - 3*u - 4*u) + (8*u - 8*u + 11*u)*(5*u**2 + 3*u - 3*u).\nAnswer: 89*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Let p = -73 + r. Let y = -68.9999878 - p. Round y to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(448) + 0 + 2))**2.\nAnswer: 128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a factor of 1635142803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from hrugkcchr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(208)*-2 + 0 - (sqrt(208)*1 + 0))**2.\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w - 1051400 = -1053960 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -473215*d - 7455. Let q(o) = -1779*o - 28. Give -1065*q(a) + 4*t(a).\nAnswer: 1775*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10200 = -132*o - 38*o. Is o != 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*p - 9. Suppose -11 = -5*r + p. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285132347 + 180869801 = 88*u - 115941852. What is u rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 26*n + 2304. Give f(63).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103930, 103928, 103926, 103924, 103922?\nAnswer: 103920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173732*l**3 + 144252*l**3 - 111448*l**3 - 290249*l**3.\nAnswer: -431177*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11554*l**3 - 2*l**2 + 4*l + 4. Let j(w) = -33367952*w**3 - 5777*w**2 + 11554*w + 11554. Determine -5777*d(x) + 2*j(x).\nAnswer: 11554*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 12*b = -22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 17*v**2 + 2*v - 66. Is 26 a factor of w(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704711.\nAnswer: 7, 100673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47253 and 12435?\nAnswer: 236265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 603200 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 8*l**2 - 8*l - 5. Let t be n(-7). Suppose 19 = 4*b + 3. Suppose -b = -3*g - 5*m + 75, -t*g + 58 = 2*m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -49, -2\/27, 3\/5, 5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1183, -4718, -10609, -18856, -29459, -42418, -57733?\n\"Answer: -1178*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -2500?\nAnswer: -2511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 3, o: 1, m: 6, r: 4, d: 1}. What is prob of sequence vvv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -84, -131, -180, -231?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -36*k + 1. Calculate l(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 10. Suppose 2*a + c = -n, -2 = a + 3. Solve 11 - n*r**2 + 20*r + 0*r**2 - 26 - r**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 - 4500*u - 572 + 4483*u.\nAnswer: -17*u - 766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose 4*a - 2*x = -a + 341, 203 = 3*a - 2*x. Suppose 3*t = -k*t + a. What is the remainder when 68 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/13260 and -31\/228696.\nAnswer: 19439160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.87*-2.\nAnswer: 3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-12)\/(-46) + (-15741)\/(-759)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -868, -911, -954, -997, -1040?\n\"Answer: -43*o - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8426567 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1276029269 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*u - 1 = 1, -3*u + 6 = 3*b. Suppose 15 = -29*d + 24*d. Let g be (-6 - d)\/((-3)\/6). Are b and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -16*v**2. Suppose 16 + 4 = 5*c. Let z(f) = -5*f**2 + 8*f**2 - c*f**2. What is z(o(i))?\nAnswer: -256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33171156485 + 0.4.\nAnswer: -33171156484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*l = 32, -2*d - 2*l = 2*l - 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -13*h**2 - 1. Let x(q) = -14*q - 173. Give m(x(j)).\nAnswer: -2548*j**2 - 62972*j - 389078","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 7*p - p)*(15*p - 40*p + 20*p) in the form q*p + b + y*p**2 and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/6 + (29055\/(-10))\/(-13) is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 145537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 7. Let v = -3 + -1. Let r = v - f. Solve j + 2 = 3*d + 5, 5*j = r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 10*u - 8. Calculate the remainder when d(-5) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q*q*q**(3\/10))**(45\/4)\/((q**(-2\/13))**(11\/7))**(-4\/13) assuming q is positive.\nAnswer: q**(7577\/9464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and -1\/258642.\nAnswer: 2586420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 3*n**3 + 740*n**2 - 1 + 4*n - 734*n**2 + n**3 + 0*n**3. Let z(m) = -m**3 + m**2 - 1. Let o = -2 - 1. Let p(a) = o*z(a) + h(a). Give p(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66486 and 937301.\nAnswer: 1003787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n)**(2\/15)*((n\/n**(-1\/7))\/n)**(-16) assuming n is positive.\nAnswer: n**(-1144\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 5 + 183\/1. Suppose -212 = -2*r - 4*z, -2*z = 3*r - 120 - b. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**3 - 1. Let l(s) = 0*s**3 - s**3 + 1 - 2 + 0*s**3. Let z(i) = i**2 - 14*i + 23. Let b be z(12). Calculate b*n(m) + l(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3108 + -2072. Let s = w + -1035.77029. Let m = s - 0.23. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 164*n - 2291. Let j be c(10). Which is smaller: -660 or j?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(11) + sqrt(11) + 0)*-1 + 5)**2.\nAnswer: -60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22267137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-1 + -1))\/(4\/24). Let b be -1*-6*(-3)\/j. Suppose -b*g - 1152 = -14*g. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73395 - 46753. List the prime factors of h.\nAnswer: 2, 7, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - ((-15 - -82) + -106)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1476 and 863964.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3720, -1, -13 in increasing order.\nAnswer: -13, -1, 19, 3720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3750\/((1 + -3)\/(-2816)). What is z rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*c - 1306 = 3*v, 2*c - 3911 = -3*v. Let p = -122 + v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 276.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1603)\/(-147)*183 + 8\/(-14). Suppose h + 12173 = 28*x. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by -18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -436773 or -436995?\nAnswer: -436773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 162645, -1\/6, 2\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3486.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Suppose -2*x - 20 = -x - q*w, 0 = -2*x - 3*w + 12. Let z(t) = -3 - 2*t + 10 + 3*t + 0*t. Determine z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20690848*r**2 - 72*r - 41993 wrt r?\nAnswer: 41381696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + ((10 - (-12 - -37)) + 30 - 85)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/4 - 33*t**2\/4 - 432*t + 6075.\nAnswer: 3*(t - 18)**2*(t + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2398 = 7*q - 3490. Calculate the remainder when q is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {v: 3, m: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 42 + 84)*(0*m + m + 0*m + (0 + 2 + 0)*(4 - 4 - 2*m) + 0*m - 4*m + 0*m) to the form q*m + t and give q.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**5\/120 + x**4\/8 - 26*x**3 - 42. Let t(n) be the third derivative of k(n). Calculate t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15917, -15702, -15485, -15266, -15045?\n\"Answer: u**2 + 212*u - 16130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(136)\/(sqrt(56)\/sqrt(112)) - ((sqrt(102)\/sqrt(2))\/sqrt(3) - (-1 + sqrt(833))**2).\nAnswer: -11*sqrt(17) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448294.\nAnswer: 2, 7, 11, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97812165 to the nearest integer?\nAnswer: 9890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11198572 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*c**4 + 82*c wrt c?\nAnswer: 3744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.026 - 0.434. Let p = -0.27 - m. Let q = 3.59 - p. What is q rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 294, 7, -2115 in increasing order.\nAnswer: -2115, -3, 7, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12875384 or 12875378?\nAnswer: 12875378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3820 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9481?\nAnswer: 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78472 + 5?\nAnswer: -78468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 247666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15 - 20*r**2 + 42*r**2 - 24*r**2 + r - 17*r. Let z be c(-6). Suppose 11*w - z*w = 0. Which is greater: w or -2\/35?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -86, 13\/8, 0.3, 1\/42?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*u + 4, g + 20 = 6*g - 3*u. Solve -4*o + 0*o + 3*c = -8, 0 = -g*o + 2*c + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*d - 21. Let m(t) be the first derivative of -t**4\/4 + t**3\/3 + 3*t**2\/2 - 2. Give m(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1590665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from iihhihibiihhbhhi.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 6 - 9. Solve 0 = i*j + 3*x - 14, j - 7*x = -11*x + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeleeeelee. What is prob of sequence ell?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrpprevxwvxrreee. Give prob of picking 1 e and 1 x.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 20*k**2 + 21*k + 16. Let d(o) = 4*o**2 + 4*o + 3. Let g(x) = -11*d(x) + 2*w(x). What is g(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382123.9um in kilometers?\nAnswer: 0.0003821239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -301 + 316. Solve h = -4*h + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -67 (c) -5 (d) 530 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1008)*1 + -4))**2*3 + -5*(sqrt(700) + 1*sqrt(700))*-6*4.\nAnswer: -4800*sqrt(7) + 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*b + 18 = -2*j + 4*b, 3*j - 4*b - 13 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512 (base 6) to base 13.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15400181.46 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2532*f = -30*b + 2534*f + 40, -b + 6 = -f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503\/7042 + 18\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*h**3 - 27*h - 8?\nAnswer: -186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59033529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.4 + -8. Let z = 11.6 + v. Let d = z + -10. Which is the nearest to -2\/5? (a) 3 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 - -909\/2. Let n(p) be the first derivative of 1\/4*p**4 - 4 + p + z*p**2 + p**3. What is a in n(a) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110, 54, -2, -58?\n\"Answer: -56*q + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 129956*j**2 + 8*j - 519824.\nAnswer: -2*(j - 64978)*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -328\/3, 0.4, 5, -0.2 in increasing order.\nAnswer: -328\/3, -0.2, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 14981969.\nAnswer: -14981969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 152 + 328 = 0. Let g = 120 + m. Find the second derivative of -36*i**4 + 5*i - 21*i + g*i wrt i.\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 15*j**2 + 10*j + 29. Let v be l(-15). Let o = v + 243\/2. Let n = -13\/5 - -12\/5. Which is the closest to o? (a) 1\/8 (b) 2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 26498 + 8310. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -22 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.04 (c) -3 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 3. Suppose -4*j - 208 = 180. What is the remainder when 16 is divided by k\/11 + j\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from cdaacaadaadccd?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 372 - 372. Let b(m) be the first derivative of p*m + 12 + 1\/2*m**2 + 9\/4*m**4 + 1\/3*m**3. What is b(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 14 + 160\/(-10). Let h(d) be the third derivative of d**5\/12 + d**4\/12 + d**3\/6 - d**2. Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1703\/7 - -1545\/7. Let v = -267\/14 - w. Find the common denominator of (((-8)\/12 - 0) + 1)*5 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 4*x - 3*x + 195 + 10*x.\nAnswer: 11*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414 is divided by 66?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134383322\/7 >= 19197618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139709 or 139643?\nAnswer: 139709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10500 and 10908250?\nAnswer: 458146500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1*((-7)\/8 + -2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 32*c + 423. Determine p(24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 55 = -5*p, -2*p = -0*p + b - 16. What is the highest common divisor of 54 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -r + 21, 8*q - 4*q - 5*r = 11. Solve 0 - 1\/4*h**q + 1\/4*h**3 + 1\/4*h**2 - 1\/4*h = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -4, 2\/5, 0.5, -50 in increasing order.\nAnswer: -50, -4, -1\/7, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -557\/42 + 83\/6. Let 18\/7*b - 10\/7*b**2 - 18\/7*b**3 - k + 2*b**4 = 0. What is b?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/249 (b) -4 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1759 is divided by 1271?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjhhjjjjj. What is prob of sequence jjj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1720*d - 20196 = -1261*d for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2086674 (b) 2\/5 (c) -0.4 (d) -0.1 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 - m**3\/5 + 7*m**2\/5 + 13*m\/5 + 6\/5 = 0. Calculate m.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/7 + 138*l**2\/7 - 20*l = 0.\nAnswer: -70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -36 (b) 3 (c) -9 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 1504 = -269. Let i be 10\/(t - 3)*56\/(-2). Factor 0 - i*a**2 + 4\/5*a.\nAnswer: -a*(7*a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 28*s**3 + 2*s**2 - s - 1. Calculate p(-2).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 15*h - 100 = 14*h, 3*p - 2*h - 1 + 5 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194*i**6 - 9*i**2 - 3 wrt i.\nAnswer: 23280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 436253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 36 = 0. Let a(x) = 9 + 4*x**2 - 2*x**2 - b. Suppose 2*g - 5 = -5*h, 4*h - 1 = 3*h - g. Give a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r + 1. Let z(p) = 12*p**3 - p**2 - 6*p + 7. What is 6*f(i) - z(i)?\nAnswer: -6*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 68. Let j be 3*-1 + (m - 28). Let w(a) = a**2 + 7*a + 4. Let l be w(-6). Sort -5, j, l, 2 in ascending order.\nAnswer: j, -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = -4*s, 5*s = -3*x - 17 - 3. Let f(r) = -95*r. Let h be f(s). What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 77*t + 3 - 11*t**4 + 64*t wrt t?\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + -44) - (519 + -502)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -1\/60*h**6 - 2*h**2 + 0 - 6*h + 7\/60*h**5 + 0*h**3 + 0*h**4. Find the third derivative of n(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**3 + 1742501 - 1742501.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 58 = -226. Suppose 5*r - w = 86. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*d = -d + 41, 59*w - 537 - 342 = 3*d for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - ((-36 - 13) + 31 + -21).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2717335 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3 + 39\/(-15)). Let u(m) = -m**2 + 7*m - 6. Let y be u(k). Let p = -2693.9 + 2693.8. Which is the nearest to -1? (a) y (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.327659237 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - 3\/(-6). Suppose t*q + 10 = 5*q. Suppose m + 5*g = 5, g = -2*m - q*m + 20. Let i(x) = x**2 - 3*x - 4. What is i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44163*51\/(-119))\/(2*1\/(-2)). Which is greater: b or -18926?\nAnswer: -18926","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqcqqcyqcyqqy. Give prob of sequence cqyc.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 847263.7ug in nanograms?\nAnswer: 847263700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 35423567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3010209 (base 10) to base 13\nAnswer: 8151b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 540115 - -4?\nAnswer: 540122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - y - 1. Let j(r) = -10*r**2 + 26*r - 74. Let m = -103 - -100. Let c(t) = m*a(t) - j(t). What is the first derivative of c(b) wrt b?\nAnswer: 8*b - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 10:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108200501?\nAnswer: 353, 306517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 4476709?\nAnswer: -47\/4476709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 16*i - 13 to the form j + h*i and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 52. Let k(s) = 21*s**2 + 2*s + 1. Let v(g) = 84*g**2 + 9*g + 4. Let t(p) = j*k(p) + 2*v(p). Determine t(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 - 1578*z + 10949. Give h(7).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -801, -784, -767, -750, -733, -716?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006363622594 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l - 5*k + 882, l = -2*k + 888. Suppose 3*q = 7*q - l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, -3\/131.\nAnswer: -0.1, -3\/131, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 7*p**2\/2 - 31*p + 26. Let b be u(5). Solve b*c - 3*k = 0, 0 = 5*c - k + 11 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*c - c = 19, 3*c = y + 1. Let f = 12 + -10. Let a(r) = -r - 1 + r**3 + y*r**2 + 0*r**f - 3*r - 2*r**3. Calculate a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 33*o + 230. Let m be b(10). Solve -47*x + 47 = -m*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 78. Let m(f) = 6*f**2 + f**3 + 89*f - 93*f - 3*f**2 - v. What is the remainder when 28 is divided by m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9934, -11924, -13914, -15904, -17894, -19884?\n\"Answer: -1990*p - 7944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130757319 is divided by 2459?\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.3 + 23. Let w = -495 + 493.6. Let j = h - w. What is the second smallest value in 11, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33001323 - -1320223?\nAnswer: -31021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(1 - 2*j - 1) - 2478 + 2*j + 680 + 213.\nAnswer: -2*j - 1585","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2. Let u(y) be the third derivative of -y**4\/24 - y**3\/3 + 2*y**2. Let p(s) = 7*s + 13. Let j(x) = -6*p(x) - 39*u(x). Give j(d(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2083308*f**2*v**2 - f**2*v - 14539*f**2 - 5*f with respect to v.\nAnswer: 4166616*f**2*v - f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4899\/1065)\/((-2)\/10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euffzzzfzfzlz. Give prob of picking 2 f and 1 l.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -219*d**4 + 9387*d**3 - 9387*d**3 + (-4*d + 4*d + d**3)*(2 - 2*d - 2).\nAnswer: -221*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7978 - 132023 = -35*o + 132575. List the prime factors of o.\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8538 + -0.2.\nAnswer: 8537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3501\/(-501) - (-5344)\/(-446224)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -348?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004369 rounded to five dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/5 + 114696764*d**3\/5 + 2192557983577536*d**2\/5 + 2794214750269855352308*d + 13971071558791407880766\/5 = 0.\nAnswer: -19116127, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32278.6 years?\nAnswer: 387343.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -1. Let x be 24\/s - (-66)\/14. Solve 3*u - 2*w + 6 = -5, w = x*u + 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16874795 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9430000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9639 - 14232. Round l to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.545508 millennia to years.\nAnswer: 2545.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336492 and 622654?\nAnswer: 145701036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 117 = -183. Let n = 28 - k. Let d(b) = b**3 - 5*b**2 - 6*b - 7. Determine d(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20082 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0805881 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-6) + 948\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/30*(-138)\/46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3\/5)*r**(-1\/8))\/(r**(-2\/7))**(2\/21))\/(r**(-3\/7)\/r*(r*r**9)\/r*r)**38 assuming r is positive.\nAnswer: r**(-1906367\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3 - 5*t + 7 - t**2 + 4. Let f be v(-7). Let o = 10 + f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 + 91. Let l be (-8)\/(-2)*((-22)\/(-8) + i). Suppose -l*y + 76 = 5*c, 3*c - 5*y - 18 = c. Calculate the remainder when 39 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 24*s**2 - 25*s + 25. Let d(f) = 0*f**2 - 9*f + 9*f**2 - 7*f**2 - 10. Let t be d(7). Let k be u(t). Solve -10 + k = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 24*v**2 + 3*v + 75. Let n be d(-24). What is the hundreds digit of -591*(4 + (-13)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 682 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.061, -2, -1 in descending order.\nAnswer: 0.061, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*2 + (-24720)\/(-400)*5\/12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -11*f + 36 - 95, -2*x + 2 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1062579 in 5, 2\/7, -1.4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 109*f - 4145. Let o be a(38). Let m(i) = i**3 + 4*i**2 - 2*i - 1. Calculate m(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1057355.2 + 1057352.0000181. Let c = 0.001 - 3.201. Let p = c - r. Round p to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*b + 7, 5*j + b = -0*b + 19. Suppose 4*q = -j*q + 40. Suppose k - 3*g + 4*g = 59, -4*g + 292 = q*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*b + 8*b + 2 in the form n*b + g and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -338153716?\nAnswer: -338153716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**2 - 7*c - 30. Give t(-5).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**3 - 1175*c**2 - 6*c - 558. Let a(r) = 6*r**3 - 1175*r**2 - 4*r - 558. Let x(z) = 3*a(z) - 2*n(z). Differentiate x(q) with respect to q.\nAnswer: 6*q**2 - 2350*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 24 = -4*w + u, -3*w + 4*u - 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66*(-60)\/(-16)*6. Let w(q) = q**3 + 88*q**2 - 90*q + 10. Let a be w(-89). What is the highest common factor of g and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7350922993?\nAnswer: 7350922993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:45 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -199, -3, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-20)*-1*5. Suppose 2*l + 3*f - 122 = f, -3*f = -u*l + 258. Let x = l + -58. Solve x = 3*i + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/85 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 2*f. Let q(u) = u + 17. Let g be q(-16). Suppose 0 = 3*s - 49 + 34. Solve b + 4 = f*m, g = 2*b + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - 52432\/(-88). Let r = n - 596. Solve r = -0*z - 3*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/(-180)*3). Suppose 3*z + x = -z. Calculate the common denominator of (-2)\/(-12)*z\/6 and -5\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18462 and 6672.\nAnswer: 20529744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-2604))\/((-1)\/(-9)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30\/3)\/2*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490)*1)\/(5*(sqrt(40) + sqrt(80)\/sqrt(2))\/sqrt(8)))**2 + 2.\nAnswer: 149\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 497*b*g**2 - 3*b*g + 46*b - 2*g wrt g.\nAnswer: 994*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 2\/447 (c) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 7:05 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/17 + 9194*o\/17 - 3387944\/17 = 0.\nAnswer: 404, 4193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 11*f + 8, -3*f + 884 = -2*s + 888 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-18))\/((-4)\/(-16)) - (0 + -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-25)\/(-10))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2002 + -1200. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - (-14)\/15. Let v(y) = 3*y + 95. Let j be v(-32). Which is the nearest to -0.1? (a) -5 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94032 and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*q - q + 172, -3*c + 3*q + 72 = 0. What is the remainder when 314 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*v**2 + 188*v**2 + 1 - 60*v**2.\nAnswer: 217*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**3 + 22*z**2 + z + 4. Let r(v) = -13*v**3 + 43*v**2 + 2*v + 7. Give 11*q(y) - 6*r(y).\nAnswer: y**3 - 16*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, 2*k - j = -0*k + 66. Let l be 291\/9 + 3 - 3. Let f = k - l. Which is the third smallest value? (a) 0.3 (b) 1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289708650 is divided by 5314.\nAnswer: 5312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {w: 3, p: 3, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 + 193 - 193. Let z(w) be the second derivative of w**3\/3 + 5*w**2\/2 + 841*w. Calculate i(z(g)).\nAnswer: -20*g**2 - 100*g - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 17 = -5*s, -3*s + 1 = -4*f + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 898874496 divided by -160056.\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 + 112\/24 + -5. Suppose -3*l - 4*c = -29 - 4115, 4*l + c - 5521 = g. List the prime factors of l.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9210 - 8868. What is the greatest common factor of w and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -614a03a + 62?\nAnswer: -6149a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 330 in 3, -4\/69, 167, -12, 5\/4?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - l + 2. Let x(w) = -8*w**3 - 25*w**2 - 58*w + 10. Let v(h) = 4*r(h) - x(h). What is the second derivative of v(o) wrt o?\nAnswer: 24*o + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 285.1?\nAnswer: -285.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110121 - -1210112022?\nAnswer: 1210001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:10 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + t = -3*t - 12, -p - 18 = -4*t. Let m = p - -8. Calculate the remainder when 16 is divided by -3*(0 + -1)*m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 278*u**2 - 799*u + 7153. Let r be o(-275). Factor -152\/5*n**2 + 2\/5*n**r - 5476\/5 + 3034\/5*n.\nAnswer: 2*(n - 37)**2*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 23*j**2 + 22*j - 16. Let z be o(-22). Let a(v) = -227*v - 32. Let d be a(z). Round d to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203133*t**4 + 646856*t**2.\nAnswer: 4875192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825181420 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2439, -4309, -6183, -8061, -9943, -11829?\nAnswer: -13719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - -8.3. Let q = s + -9.93. Let b = q + -0.194. What is b rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 95*t**2 - 57228355*t - 15060100 = 0.\nAnswer: -5\/19, 602404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-3 - -5) + -1 - -3. Let h(x) = -15*x + f*x + 5*x. Let g be h(3). Solve g*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a factor of 633344269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -23. Suppose 14 = 3*l + q, -z*l + 4*q + 8 = -l. Suppose 14 = -s + 4*s + 5*r, l*s = -2*r + 14. What is the smallest common multiple of 1 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 10*t + 20. Let n be c(-6). Suppose 10*w + n = 14*w. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*d - d. Let q(s) = -2*s**3 - 4*s**2 + 1. Let y(x) = 11*x**3 + 30*x**2 - 3. Let h(w) = -6*q(w) - y(w). Determine h(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131109697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 2. Let p be h(5). Suppose -3*y + 57 = 3*l, 2*l - 37 = y - 2. What is the greatest common divisor of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**6\/30 + 8*y**5\/25 - 5*y**4\/4 + 38*y**3\/15 - 14*y**2\/5 + 8*y\/5 + 36. Factor u(k).\nAnswer: -(k - 2)**3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = z - 29 + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 - 139362*v + 557496 = 0.\nAnswer: -46458, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (2\/(-4))\/(((-69)\/(-2064))\/(-23))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-12) - ((-10)\/(-8) + -1). Suppose -w - 1 + 5 = 0. Solve -5 = -3*d - 2*o, 16 + w = -d - q*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 17*o - 10. Solve -239*m + o = -237*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -19*m + 174*m - 17292 for m.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -3\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34659070 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/695 or -1616?\nAnswer: -6\/695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27258)\/9)\/7 - 4\/(-6). Let q = s - -433. Sort -113, q, -2 in decreasing order.\nAnswer: q, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 48.7, -1, 0.2, 0.056?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1981 + -1128. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/13, -25, 1\/4, -0.21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18)*1)\/((-2)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3979\/30 + -679\/5. Let n = -536\/3 + 1544\/9. What is the common denominator of h and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvvvvaavavvvv. Give prob of sequence vv.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j + 1. Let m(v) = -9*v**2 - 6*v + 13. Let h(s) = 6*g(s) - m(s). Differentiate h(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**4 + 2*y**2 + 2*y + 23. Let x(i) = -21*i**4 + 11*i**2 + 11*i + 116. Let q(k) = 11*d(k) - 2*x(k). Differentiate q(n) with respect to n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-3301)\/120 + -2. Let t = m - -362\/15. Find the common denominator of 107\/20 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooha when four letters picked without replacement from {o: 5, h: 1, k: 1, a: 4}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + sqrt(126)*1)*-5 - sqrt(126)) + (sqrt(126) - 2*1*sqrt(126)))\/((sqrt(686)*-1)\/(-1*sqrt(98))).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-2) - (-4 - 41 - -4). Suppose -11 = -8*b + p. Let v(n) = n**3 - 8*n**2 + 9*n - 4. What is v(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/17 - 1652*s**2\/17 + 240158*s\/17 + 14224 = 0. Calculate s.\nAnswer: -952, -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = s, -8*s + 3*s = -h - 12. Let g(v) be the third derivative of -1\/3*v**3 + 0*v - 1\/15*v**5 + s*v**2 - 1\/4*v**4 + 0. Factor g(u).\nAnswer: -2*(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 126, 128, 130, 132, 134?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*j + 1534 = 1510, -56 = 7*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 + 147. Suppose -2*h - n*h - 4 = 0, -u + 3*h = -15. Solve u = -3*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -2 - (-1 + 0). Find d, given that -144*d + o*d**3 - 3*d**3 + 18*d**2 + 192 + 18*d**2 - 4*d**3 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.61 rounded to zero dps?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 46127800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 512 = -2*l, -2*l + 524 = -256*n + 257*n. Calculate the remainder when l is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 19 = 16*u - 51*u + 30*u, -35*u + 136 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - x - 17. Is r(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.79 - -1.51. Let n = 17.3 - s. What is the smallest value in 8, -3\/2, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2415183*h**2*l**3 - h**2*l**2 + 1295576*l**3 with respect to h.\nAnswer: 4830366*h*l**3 - 2*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1256 + -4931\/4. Let o = -218985181089\/28510540 + -7\/2851054. Let j = o - -7684. What is the common denominator of a and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96b + 1?\nAnswer: -96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, n: 6, u: 4, m: 5}. Give prob of picking 2 u and 1 m.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*u + 33, -u + 19 = 2*l - 2*u. What are the prime factors of l\/(-18)*(-84)\/1?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40322332 divided by -3.\nAnswer: 40322332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 15*x + 47. Let c be m(-11). Solve 5*p + 2*v + 2 = 37, -p - c*v + 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6246352 by -111542.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**13*g*g**(2\/51)\/g)**(-35))**11 assuming g is positive.\nAnswer: g**(-275660\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -704869 (base 10) to base 11.\nAnswer: -441640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 24 + 21 + 21 + 6*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -64. Solve -2*j + h = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 358, 536?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*h - 10 + 1, 3*c + 3 = -4*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 3\/5*u**2 + 0*u**4 + 17 - 7*u - 7\/30*u**3 + 1\/100*u**5. Let i(o) be the first derivative of p(o). Let i(w) = 0. Calculate w.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15527069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -22*3\/12*-2. Let h be (-1*3\/(-9))\/(1\/33). Calculate the highest common divisor of m and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -72.9262\nAnswer: -123.97454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21066408 a multiple of 2211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286834 is divided by 12462.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 490 = 5*m, 0*m - a + 102 = m. Let o = m - 13. Suppose 117 = 4*c - o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 8*c**2 + 8*c + 18. Let k be i(9). Let b be 6\/k*(-2)\/((-2)\/9). Suppose b*f - 30 + 0 = 0. Solve 5 + 5 = -f*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and (-2)\/4 - (-230)\/225.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 4. Is b\/3*-3 - -960 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*-5*2 + 2. Let o be 49\/21 - h\/(-9). Solve -o*u + 7*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -264*q - 4319. What is w(-15)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100 + -111?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6 + (-429)\/(-18). Suppose -5*j = -8*j + b. Suppose 0 = 4*t - 2*t + j. What is the third biggest value in t, 1\/5, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/10364 - -10361\/31092. Let p = -0.3 - -0.29. Let g = p + -2.99. Which is the third smallest value? (a) q (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - r - r**2 - 16)*(2*r**2 + 16 + 3*r - 16).\nAnswer: -2*r**4 - 5*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293400 - 182745 = -6955*k - 40766 - 356294 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -303140000 to the nearest 1000000.\nAnswer: -303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-5)*8\/(-20). Solve 0 = r*o - 4*d, 0 = 4*o + 2*d - 5*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3364)\/522 + (-2215)\/(-225).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 2698, 9 in descending order.\nAnswer: 2698, 159, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742810342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(-10)\/(-5) + 28. Solve 3*n - 2*p - 25 = -0*n, 4*p + k = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7507.\nAnswer: 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0874 + 0.4874. Which is the fourth smallest value? (a) 4 (b) 2 (c) 3.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*r + 14, -29*r + 28*r + 14 = 5*w. What is the closest to 0.1 in r, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4306\/56*-2 - (-4)\/8. Let k be -148 + (-3 - 0) - 2. Let u = j - k. Is u <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48ac40 (base 14) in base 9?\nAnswer: 4612478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i. Suppose -6*k + 32 = -2*k. Let q be (-1231)\/(-2) + (-4)\/k. Let d(t) = -615 + 2*t + q. Determine d(r(w)).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041183 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1951 divided by 137\nAnswer: 1951\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:18 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 57*n**2 - 4*n - 1. Let k(i) = -i**2 + 10*i + 1. Let y be k(10). Let u be z(y). Suppose 0 = -a + 3*a - u. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*q - 4 + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.27719008 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 52780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = 16*k + 5278. Is (455\/k)\/((-5)\/852) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13289\/20 greater than 664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, b: 1, c: 4}. Give prob of picking 1 u and 3 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**9)\/(l**(5\/3)*l*l))**(-45) assuming l is positive.\nAnswer: l**(-285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 7*h - 35. Solve 5*r + 2*b = b - 13, 2*b - 19 = h*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*z + 3. Sort z, -7, 2 in descending order.\nAnswer: 2, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*t - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*n + 62961 = 0, -82*n + 188795 = 3*f - 80*n. List the prime factors of f.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9024*u**2 + 9*u + 8. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -11*i + 0*i**3 + 21\/2*i**2 + 0*i**4 + 0 + 3\/10*i**5. What is the first derivative of d(o) wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/100 and -179\/180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16183 - 32062 = r, -4*g + 3*r = -38596. Does 82 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 + 6)*1\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 less than 1.476184?\nAnswer: 1.450184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87308 less than or equal to 87308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 3*g**5 - 2*g**5 + (-g**2 + 2*g**4 + g**2)*(0 + 0 + g) - 4*g**5 + 2*g + g**5 + 5*g**5.\nAnswer: 3*g**5 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/420 - g**3\/42 + 4*g**2. Factor u(o).\nAnswer: (o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 - 5. Let j be y(-3). Solve j + 4 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, 995, 3133, 7291, 14141, 24355, 38605?\n\"Answer: 112*t**3 + 2*t**2 + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/14 (b) 1.6 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)*(-5 - -4). Suppose 2*g - 2*n + 46 = v, -4*g - 89 = -n - 2*n. Let c be ((-15)\/g)\/(1\/176). Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1100110110001011111?\nAnswer: -1100110110001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 4, a: 1, e: 4}. Give prob of picking 1 u and 1 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -56. Let j = v - -37. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18123534 or 18123537?\nAnswer: 18123534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y**(1\/18))**20*((y\/((y\/((y*y\/(y*y**(1\/5)\/y))\/y))\/y*y*y*y))\/(y**(1\/9)\/y*y))**(-4\/3) assuming y is positive.\nAnswer: y**(19286\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxzxxxxxxxxxzxxx. Give prob of picking 2 x and 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n - 3\/2*n**2 - 2 - n**3. Factor k(h).\nAnswer: -3*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -366, -14\/3, 0.2, -3, -0.5?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -176644, 1.\nAnswer: -176644, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*w + 12*w - w**2 + 110*w**3 - 1 + 0*w**2 - 111*w**3 - 26*w to the form o*w + m*w**2 + j*w**3 + k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15828961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 12:34 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*k + 3*q, -2*q - 14 = 17*k - 19*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 6 = -12 - 87 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q. Let l(i) = 2185*i**2. Give d(l(o)).\nAnswer: 6555*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(-4)*-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649, 628, 583, 514, 421, 304?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/368 and (-306)\/(-46) - 2 - (11 - 8).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 218421 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.438 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 352039083 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 1:55 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*k - 14298 - 14149 = 965 - 3087 for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-117)*(-1)\/3. Let s(r) be the third derivative of 1\/6*r**3 + 4*r**2 + 0 + x*r - 1\/6*r**4. Differentiate s(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 121122211212201?\nAnswer: 121122211212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Let t be h(1). Let v = 5 + t. Find the second derivative of -v*r + 30*r**2 + 3*r**3 - 30*r**2 wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4927273, 9854777, 14782281, 19709785, 24637289, 29564793?\nAnswer: 34492297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**2 + 12*t**2 - 67*t + 18*t**2.\nAnswer: -t**2 - 67*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 73.15637 decades?\nAnswer: 731.5637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, 19, 5.2, -0.2, -89 in decreasing order.\nAnswer: 19, 5.2, 2\/3, -0.2, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42654 is divided by 205?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c**4 - 88*c**3 + 118*c**2 - 48*c = 0.\nAnswer: 0, 8\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdwurre. What is prob of picking 1 e and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182799.437 + 119274545.937. Let t = -119091720.50000026 + n. Let i = t - 26. What is i rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, f: 4, b: 2, v: 1}. What is prob of picking 1 v and 3 f?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 4. Let k(i) = -7*i + 4. Let v(o) = -6*o + 3. Let n(q) = 2*k(q) - 3*v(q). Let r be n(3). What are the prime factors of p(r)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/16 + (-2)\/8*-191. Find the common denominator of 116\/a*1 + -2 and 1\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2420*b - 13*b**2 + 7*b**3 - 2420*b in the form r*b**2 + h*b + x + a*b**3 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 27*c - 29. Let x be h(-1). Solve 2*q + x + 0 = -2*y, -5*q - 5 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 25. Let a be w(-23). Let h be 2\/6 + (-8)\/(-60). Let y = -1\/5 - h. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(637) + (sqrt(637) - (sqrt(637) + -5 + 4)) + sqrt(637) + sqrt(637) + sqrt(637) + (sqrt(637)*-6 - sqrt(637)) + -5) + 2)**2.\nAnswer: 630*sqrt(13) + 51622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/5, -290, 1\/6, -1\/3 in decreasing order.\nAnswer: 1, 1\/6, -1\/3, -3\/5, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 + 1322*x + 14993. Calculate c(-153).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - y - 19 = 0, -15*y + 19*y + 101 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 74 = 64 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*l - 4 = 0, 2*o + 20 = -2*l - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 48*n - 379. Let k be a(23). Solve -k = -4*j - 176 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:18 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1977 - -1979. Solve 4*x = 4*p - 32, s*x = -0*p + 5*p - 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 95, 1, -224, -2, 0 in increasing order.\nAnswer: -224, -2, 0, 1, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -37383 at most as big as -37366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 71840430*r**2. Let w(l) = 2*l**2. What is b(w(s))?\nAnswer: 287361720*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(((-24)\/4)\/(-3)). Sort -1, h, 2, -2.\nAnswer: h, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 7*a + 17*a)*(-2*a + 3*a + a).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*a + 220*a + 5576 = 89*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 20. Which is the nearest to u? (a) 1 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 3*a)*(0 + 0 - 2*a)*(3*a**2 + 2*a**2 - 4*a**2)*(-1 - 3 + 3).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 792*n - 14260. Determine a(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*m**3 + m + 84?\nAnswer: -450*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73\/51 - -2548\/153. Let f be ((-6)\/45)\/(3\/830). Let z = f + b. Calculate the common denominator of -5\/9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19095, 20238, 21381?\nAnswer: 22524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(225) - sqrt(225) - sqrt(225))\/(sqrt(3) - sqrt(27)*-1).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 21*k - 1. Is a(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1636466 divided by 233.\nAnswer: 1636466\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83\/3? (a) 42 (b) 0.3 (c) 8\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -105. Let k(q) = 138*q + 1915. Let x be k(-14). Does x = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q**2\/4 - 91*q\/2 + 51\/4 = 0.\nAnswer: 17\/55, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b**2 + 12. Let g be t(-3). What is the greatest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*90\/(-48)*(-2544)\/530.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1446 + 2443. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1392*w - 9747. Give v(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*(n\/(n*n**0)*n)\/n*n)*n**(4\/7))\/(n**4*n\/n**0) assuming n is positive.\nAnswer: n**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11730 (base 8) to base 4.\nAnswer: -1033120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 50445.14mg?\nAnswer: 0.00005044514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74135?\nAnswer: 5, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/7 - 111\/35. Let r be 4\/36*(-12)\/(-2). Put -4, v, r in increasing order.\nAnswer: -4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (234\/8)\/(72\/96). Calculate the greatest common divisor of c and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20350 + 3?\nAnswer: -20344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16*(1 - -2 - 4). Suppose o*k - 65 = 11*k. What is the remainder when -1 + -1*3*-17 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = o - 18. Suppose 0 = -83*b + o*b - 63. Let r(v) = -v**3 - v**2 + 2*v - 1. Let c be r(-2). Put -2, c, -4, b in decreasing order.\nAnswer: c, -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 53*l**2. Let z(x) = -68*x**2. Give z(d(y)).\nAnswer: -191012*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.12 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3890*r + 124488. What is z(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*a. Let p = -2 - a. Let t(w) = 5*w**2. Let d be t(p). What is the highest common divisor of 2 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - 2*l)*(-2*l + l - 3*l) - 4*l**2 + l**2 + 4*l**2 + 5*l**2 - l**2 - l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 226*x**3 - 11*x + 17. Let f(p) = -75*p**3 + 4*p - 6. Calculate -17*f(s) - 6*k(s).\nAnswer: -81*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297741 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5432 and 6208.\nAnswer: 43456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p - 2*c - 1, 5*c = -p - 2. Let f(a) = -4 - 39*a + 22*a + 23*a. Is f(p) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + x**5 + x**5 + (-2*x + 2*x + x)*(-270*x**3 + 14*x**4 + 270*x**3 + (2*x**4 - 2*x**4 - x**4)*(-3 + 1 + 1) + 2*x**4 - 2*x**4 + x**4).\nAnswer: 19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaagfgaafgafg. What is prob of sequence ggf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(1 - 1 - 8*f - 2).\nAnswer: -40*f - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -23. Let i = 11 + g. Let x be 0\/1 - 2\/8. What is the biggest value in x, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2100596374 to five decimal places.\nAnswer: 0.21006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 868640, 1737281, 2605880, 3474431, 4342928?\nAnswer: 5211365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d**(5\/6)\/d*(d**(-3))**(37\/3) assuming d is positive.\nAnswer: d**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -740.51 - -737. Let y = -3.21 - g. Which is the second smallest value? (a) -1 (b) -3 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5920 and 110080?\nAnswer: 4072960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 55*q - 180 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 41004?\nAnswer: 41033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 640 - 636. Find b such that 0 + 0*b - 2\/7*b**t - 4\/7*b**2 - 6\/7*b**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 32. Let a be 3\/1 + (-46)\/o. What is the nearest to -1\/3 in a, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81 and -0.0894.\nAnswer: -81.0894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31790 (base 11) in base 6?\nAnswer: 553520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 1. Let o(d) = 0*d + d + 2232 - 4464 + 2*d**2 + 2231. Calculate 5*k(j) - 2*o(j).\nAnswer: j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1790447, 1790460, 1790471, 1790480, 1790487, 1790492?\nAnswer: 1790495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, 0.08, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 1 = 6*m. Let v(x) = x**3 - 6*x**2 + 2. Determine v(m).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -269.0585?\nAnswer: 538.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11d + -3?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**2 + 2. Let s(v) = 29*v + 42. Let p(x) = -115*x - 161. Let o(j) = 6*p(j) + 23*s(j). Calculate g(o(i)).\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(((((r*r**4*r*r)\/r*r)\/r)\/r)\/r)*r*r\/(r*r**(-2)*r)*r)**(1\/39))**(2\/15))**(-6\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 - 360 + 24*k**4 - 304*k + 392*k**3 - 124 - 108*k**4 - 92*k + 568*k**2 = 0. What is k?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 18*q + 6. Give m(-12).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30997 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53620620 - -3?\nAnswer: 53620623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20\/(-6) - 6158\/(-6) and 12?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/(-7) + 3 - 48\/(-21). Suppose -12 = -0*o - 4*o. Solve 5*a - 5 = -3*r + o*a, -x*a + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 0.64\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 753316 (base 9) in base 4?\nAnswer: 1231201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2.1, -0.1, 59549 in decreasing order.\nAnswer: 59549, -0.1, -2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1, -195, -0.2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 + 330*h + 170. Give a(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 7*x**2 - 6*x + 6. Let z be r(-6). Suppose 3*k + 7 = 6*k + 2*s, -z = -3*s. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 2*k**2 - 15*k + 24. Let d be r(3). What is the second smallest value in d, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 635, 2124, 5019, 9788, 16899?\nAnswer: 26820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35126, -36814, -38502, -40190, -41878?\nAnswer: -43566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/11))\/k*k*(k*k**6\/k)\/k)\/((k**(-6)*k)\/(k**3*k)))\/(k\/(k*(k**(-7)*k)\/k*k)*k*k**(-9))**14 assuming k is positive.\nAnswer: k**(471\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6\/13, -7\/4, 2\/17?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*j**3 + 112475*j**2 - 112475*j**2.\nAnswer: -999*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8896977 by 1227.\nAnswer: 7251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1560148.1 and -2811832.\nAnswer: -1251683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) -5\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2761882583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 + -4 - 1)*(-42)\/27685*-14 and 107\/100.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/330 and -43\/45.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9937499*f**2. Let n(j) = j. Calculate l(n(h)).\nAnswer: -9937499*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 14*y - 22. Let a be o(-2). List the prime factors of (3 - (-3 + a\/2))*1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 145545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fd2 - 2?\nAnswer: -fd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26163227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 u when four letters picked without replacement from ueudddd.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56142732 to the nearest integer?\nAnswer: 7493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 4. Suppose 0 = 4*a + 5*l + 1 + 12, -a + 3*l = -1. Determine k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**5\/15 - z**4\/2 + 4*z**3\/9 - 46. Factor c(k).\nAnswer: 2*k**2*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -887236333, -887236334, -887236335, -887236336, -887236337, -887236338?\nAnswer: -887236339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*u**2 - 112*u**2 + 6853*u**3 - 6311*u**3 + 56*u**2.\nAnswer: 542*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 164*w = -207 + 2209 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:11 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.084 - -0.0839894. What is z rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1661)\/(-348) + -1 - (2 - -2). Let k = -2\/87 + o. Let z = -941\/10 + 94. What is the third biggest value in k, -0.02, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39330748*z**4 + 39811651?\nAnswer: 157322992*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 - 4*p + 10. Suppose 0 = 4*g - 5*d + 12, 3*g + 4*d + 11 = -29. What are the prime factors of k(g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 773105.4 millilitres?\nAnswer: 773.1054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - 1.728. Let w = -0.03 - y. Round w to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4220, 17424, 39436, 70256, 109884?\nAnswer: 158320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60341 and 581?\nAnswer: 422387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 3. Calculate the remainder when y is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(-6))\/m*m*(m**(-3)*m*m)\/m*m*m**(-6)\/m*m**(3\/8))\/((m**1)**(4\/21))**(-3\/5) assuming m is positive.\nAnswer: m**(417\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51649 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 132686821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 126?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 933 + -942. Put 1\/24, 0, -0.5, a in decreasing order.\nAnswer: 1\/24, 0, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 3*z - 3*z)*(-19*z - 18047 + 18047) - 42*z**3 - 8*z**5 + 42*z**3.\nAnswer: -46*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a**2 + a**2)*(-1 + 1 + a)*(10 + 0 + 16).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 301 = -19. What is the least common multiple of x and 289\/4 - 251\/1004?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*w**2 + 912*w - 2 + 914*w - 1835*w - w**4 + 3*w**3 to the form g*w**3 + x*w**2 + y + r*w**4 + u*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/184 - (-232)\/3128?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 60. Suppose h = -q + 778, 11*h - g*q = 13*h - 1556. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147066 is divided by 73506?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2112112 (base 6) to base 2\nAnswer: 11001000111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-208)\/13 - -11 - 178\/(-2). Solve 0 = 92*h - m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + 7*c + 5*c**3 - 4*c**3 + 0*c**3 - 1. Let w be -2*(0 - -2)*-1*1. Suppose 0 = -w*o + 3*o - 7. What is g(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3\/2, 1, -3, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8018 - 8001. Solve -d = 5*x + t, -14*x - 8 = -10*x - 2*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/9)*m**(1\/2))**(6\/11) assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6862 and -29\/8.\nAnswer: 27448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/4, 2, 1, -26.2, 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -1\/29, 11, -1\/8, -280, -4\/3, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -5*m - 9, 5*j + m = -74. Let n = 0 - j. Calculate the highest common factor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 433*b - 78801. Let l be k(182). Suppose 15 + 7 = 3*w + 5*h, 3*h = -w + 2. Solve 0 = l*j - w - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 54 = -18. Suppose -3*q - 2160 = -o*s + 7*s, s - 3*q = 444. What is the remainder when s is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3428 + 5193. Calculate the highest common factor of p and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = -3*v + 2*k, 0 = 86*v - 82*v - 2*k + 510. Which is the second smallest value? (a) -0.11 (b) 1\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 13) to base 12.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 13*t**2 + 8*t + 19. Let s be v(-13). Let w = s - -162. Find the second derivative of -w*a**4 - 21*a + 32*a**5 + 77*a**4 wrt a.\nAnswer: 640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 47\/7 (c) 13 (d) 3\/8 (e) -0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 36*b**4 + 976924*b**3 - 13899760*b**2 + 42138032*b - 8688320 = 0.\nAnswer: -27151, 2\/9, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let c(g) = -28*g**2 - 7*g + 161. Let x(w) = 19*w**2 + 5*w - 110. Let q(z) = -5*c(z) - 7*x(z). Calculate t(q(a)).\nAnswer: -14*a**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 32 + 277 = 0. Let z be (-4 - 150\/g)\/(-1). Which is greater: 19 or z?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(3 + (sqrt(7) - (sqrt(7) + -1 + -4))))**2 + 0.\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from owaaw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 255*k**2 + 3162*k**2 - 2*k - 1 - 409*k**2. Let s be z(-1). Suppose 3*v = s + 441. What is v rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 14. Suppose m = -5*h + 59, 12*h = 15*h - m - 29. Calculate the highest common factor of z and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 170*r**3 - 5*r**2 + 170*r.\nAnswer: 5*r*(r - 34)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b + 114. Let l be f(28). Suppose 0 = -3*k - 2*z + 8255, 2741 = 6*k - 5*k - l*z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.7 in -640, 2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6) + 4)\/(4\/(-30)). Let v = 56 + j. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/5 + 2*6\/(-60). Sort -2.5, r, 0.3 in decreasing order.\nAnswer: r, 0.3, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*i - 8 = 0, -4*t + 0*i = 3*i + 23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:20 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 2. Let k be f(0). Let l be (15 - 1) + -1 - k. What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 + 6*u + 3. Let q be g(5). Suppose 3*o = q*o. Solve o = -x - 4*n - 13, -n - 6 = -x + 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6*x - 6. Let j(c) = -1 + x*c + 4 - 1 - c**3 + 0*c**3 + 2*c**2. Let k be j(3). Solve k*f - 1 = 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -52, 139*u - 48 = -c + 135*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**2 + 72*p + 78. Let d be t(10). Sort 7, -1, d in descending order.\nAnswer: d, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)\/(b*(b**(-3)*b)\/b*b)*(b*b*b\/(b\/b**(11\/4)*b))\/(b\/b**(-6\/11)) assuming b is positive.\nAnswer: b**(793\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32328)\/(-4582) - 4) + -4. Let r = 18\/79 - p. Find the common denominator of 45\/11 and r.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -152*v**4 - 1273*v**3\/3 + v**2\/2 - 534. Find the third derivative of g(j) wrt j.\nAnswer: -3648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5.37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k + 16. Let t = -16 - -20. Find the third derivative of 13*j**t - 5*j**k + 8*j**2 - 7*j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1652\/(-177)*(-240)\/70.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/12 - g**3 + 3*g**2\/2 + 2*g. Let u(l) = -2*l. Let k be u(3). Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 72, 17*y + 3*d - 25 = 18*y + 2*d - 2*d - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i + 39*i - 29*i - 3)*(1 + 2 - 4).\nAnswer: 14*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 4*j**4 - 4*j**4 + (j**3 - j**3 + 2*j**3)*(2*j - 2*j + j).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 21 = -3*q - 5*c, 5*c = -4*q - 40. Sort q, -2, 0 in descending order.\nAnswer: 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -a5a192a5?\nAnswer: a5a192a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5*u**3 + 3818*a**4 - 118004*a**2*u**3 wrt a.\nAnswer: 180*a**2*u**3 + 91632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 - -16) + (-10)\/6. Which is the closest to 1? (a) -1\/2 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/35)\/a*(a*a*a*a**7)\/a)\/((a*(a*a\/(a*a**(-4\/3))*a)\/a)\/a**(-9\/4)))**(1\/2) assuming a is positive.\nAnswer: a**(991\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose -k*i + 4 = -3*l + 2*i, 15 = 3*i. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-904)\/18 + (-4)\/(-18). Let h = j - -125. Suppose 0 = 4*y + y - h. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(84)\/sqrt(3))**2*-6.\nAnswer: -360*sqrt(7) + 1110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -70, 0.5, -3\/13, -19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 0.3, -0.1, 29, 0.1.\nAnswer: -0.1, 0.1, 0.3, 5\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-2 + 11 + -5 + -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1870 = 184*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from vovooorvro?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128650 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 2. What is the remainder when h(-4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -3\/5 (c) -2\/7 (d) -1\/2 (e) 40.0081 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7271 + 1869. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(1 - 2)*1. Suppose -2*l = g - 112 + 13, 0 = 3*g + y*l - 277. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-203*s**2 + 221*s**2 - 141*s**2 + (3 - 5 + 4)*(-s**2 - 3*s + 3*s))*(1 + 2 - 6) in the form m + v*s + i*s**2 and give i.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 3. Let r(p) = -5*p**3 + 2*p**2 - 13*p - 11. Let o(q) = 9*q**3 - 4*q**2 + 25*q + 21. Let h(g) = 6*o(g) + 11*r(g). List the prime factors of h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - m**2 - m. Let t be v(-1). Let l = t + -3. Suppose s + 3*s - 4 = l. Calculate the smallest common multiple of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/(-44)*7\/(1071\/51).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 + 9*s - 9. Let r be t(7). Suppose 0 = -2*z - a + 13, r*z = 2*a + 5 + 5. Suppose -10 = -2*p - z. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/18 - -4*(-28)\/24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 2*v**3 + 2*v**2 + (0*v + v + 0*v)*(v**2 + v**2 - v**2) + 11*v**3 - 4*v**3 + 3*v**3 - 2*v**2 - v**3 + 2*v**2.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3*u**2 + 1215*u**3 - 1211*u**3 - 4 to r*u + z*u**3 + p*u**2 + d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2\/(-290)*(-30)\/(-12).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -160*p**5 + 1298395*p**4 - 72158945*p**3 - 75754315*p**2 - 2296815*p = 0?\nAnswer: -1, -1\/32, 0, 57, 8059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011 - 1323030112?\nAnswer: -1323031123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)\/n)\/n)**(1\/5)*n**17*n\/(n*n**(2\/31)*n) assuming n is positive.\nAnswer: n**(11978\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 108. What is the units digit of 81\/d*884\/(-78)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/60622940 and 1\/245.\nAnswer: 424360580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11398*m**4 - 8*m**2 + 4*m + 10265. Let c(b) = 11406*b**4 + 10*b**2 - 5*b - 10266. Let a(p) = 4*c(p) + 5*k(p). Differentiate a(i) wrt i.\nAnswer: -45464*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/3 (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7146, 7139, 7132, 7125, 7118?\n\"Answer: -7*s + 7153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 - (-9 + 2 - -2 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61260761 * 0.4\nAnswer: 24504304.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 1, w: 3, k: 1, y: 1}. What is prob of sequence lyw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (359 - 359 + 721*i)*(3 - 5 - 1) to the form t*i + a and give t.\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 6\/10)*(68 + 24361\/(-357)). Is -706 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340352576 + 0.406?\nAnswer: -340352575.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 10, q: 2, f: 3, u: 3}. Give prob of sequence ddfu.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2257, -7244, -15579, -27262?\n\"Answer: -1674*z**2 + 35*z - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, -26, 6 in increasing order.\nAnswer: -26, 6, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 3*r - 2 + 0*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62620 and 2.\nAnswer: 62620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -12414243?\nAnswer: -12414245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(1\/2)\/z))\/(z**6\/z))\/((z**(-2\/5)\/z)\/z**(-1)))\/(z**(2\/17)*z*z**(-1\/6)*(z*z**4)\/z*z*z\/(z\/z**(-1\/4))*z) assuming z is positive.\nAnswer: z**(-9997\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 246\/(-4) + 1\/(-2). Let v = l + 42. Let p = v + 30. Solve -2 + p = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33792 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.64 to the nearest integer.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 374, 413, 468, 539?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.19 - -73.81. Let u = -78.26 + s. Which is smaller: -2\/23 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*4*(-1 + -1 + (-2*((0 + sqrt(147) - sqrt(147)) + sqrt(147)) - (-5*(sqrt(147) + -1*sqrt(147)) - sqrt(147)))))**2.\nAnswer: 10360*sqrt(3) + 60169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343) + sqrt(343) - sqrt(343) - sqrt(343))**2*-4 + (sqrt(84)\/sqrt(3))\/sqrt(4) + (sqrt(7) + 1 + -2)**2.\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 != 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -25, -1, 6\/67, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 158448 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10400085 and 1218420?\nAnswer: 291202380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + -29 + 26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3590123322.99999941 - -3590123194. Let j = -144 - -273. Let f = d + j. What is f rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 42, -10, 3, -1 in decreasing order.\nAnswer: 42, 3, 0, -1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187367758, -374735519, -562103280, -749471041, -936838802?\nAnswer: -1124206563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 * -10337.8.\nAnswer: 651281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 + -129. Is 21\/4 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80864, 639545, 2155972, 5109017, 9977552, 17240449, 27376580, 40864817?\nAnswer: 58184032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - 196\/50) + 65 + -62\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 3. Let y be b(3). Let r = 24816 - 24812. Solve -1 = 2*j - 3*s, 3*s = j - y*s - r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 143 = -1029. Let i = j - -1257. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 2*j. Let d be p(-1). Let m = -2 - -1.9. Let o = m + 0. Is o less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4888 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 8.02.\nAnswer: -24.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20982*g = 7025*g + 7009*g + 6996*g + 2928 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -202*q + 8321*q**2 + 197*q + q**3 + 6 - 8320*q**2. Determine i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528738650.\nAnswer: 2, 3, 5, 30191591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 85*c**2 - 24*c - 516. What is n(43)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 8*i**3 + 1 + 33*i + 20*i**2 - 7 - 8*i**3 - 32*i in the form d + t*i**3 + y*i + w*i**2 and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-108) + 11\/(-44). Let n = 0.266 - 0.186. Which is the closest to -1\/4? (a) -1 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 (base 15) in base 2?\nAnswer: 101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 16*k**2 - 2*k - 21. Let j(a) = -4*a + 28. Let o be j(11). Let n be x(o). Suppose -d + 14 - n = 0. Let g(w) = 2*w - 1. Determine g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 2*l**2 + 54*l - l**2 + 4 - 3*l**2 as z*l**2 + h*l + o and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - r + r + 0. Let p(k) = 2*k**2 + 3. Let m(n) be the second derivative of n**4\/12 + n**2\/2 + 3*n. Let l(j) = -6*m(j) + 2*p(j). Give l(g(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 44 + 44 + o**2 - 16*o**2 to p + x*o**2 + h*o and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h. Let m be r(-1). Solve m*o - 17 = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(6\/(-3)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899?\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33733777 and 1582.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/2))**(2\/77)*m\/(m*m*m**5*m*m*m)*m**(-6\/7)*m)\/((m\/(m**(-12)\/m))\/(m*m**(2\/3)\/m))**(7\/4) assuming m is positive.\nAnswer: m**(-1061\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35288884 to the nearest integer?\nAnswer: 5940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + s = -0*s + 706, -r - s = -175. What is the remainder when r is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 + 267. Solve -2*x = -3*r - z, 5*r + 0*r = -2*x - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 3*o**4 + 0*o**4 + (1 - 2*o - 4 + 4*o)*(-10*o**2 - 5*o**3 + 10*o**2).\nAnswer: -11*o**4 + 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 0. Solve z + 3*z - 4*j = 20, -5*z = -j - v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27557, -55105, -82653, -110201?\n\"Answer: -27548*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/108, -24541, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**26*(g*g**18)\/g)**(10\/11) assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 1 + 41 - 52 - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/502704 and -17\/36.\nAnswer: 502704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 + -274. Solve 3*h - 12 = -3*g - 0*g, d*g = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 2)*(-33 - 2448*x**3 + 43 + 12*x + 2442*x**3).\nAnswer: 36*x**3 - 72*x - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -133335*g + 225. Let o be p(-5). Suppose 0 = 6*h - 15*h - o. What is h rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*u + 157*u = l + 9, 4*l + 26 = -2*u. Let p = -3 + 5. Sort u, 4, p, -3 in increasing order.\nAnswer: u, -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.34.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*c = 18 + 17, -4*c = 3*v - 24. Suppose 4*a - 5*u = 10124, 8*a + u - 10124 = v*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24575*12\nAnswer: -294900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Suppose 11*s - 1 + 12 = 0. Let q(v) = v + 0 + 0*v + 1. Let f be q(-4). Let n(m) = -2*m**2 + m + 1. Calculate f*z(h) + s*n(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3707, 7337, 10967, 14597?\nAnswer: 18227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.16. Let q = x + -0.36. Let l = -0.37 + 0.07. What is the biggest value in l, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 11 + -7 - 20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -524 + 3310. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:19 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let v(p) be the first derivative of 7*p**3\/3 + 3*p**2\/2 + p + 1. Is v(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 1\/142, -320, 0.2 in descending order.\nAnswer: 0.2, 1\/142, -177, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*24\/(-9). Let o be 8\/(-5) - n\/(-10). Let l(s) = -s**3 - 4 - 3 - 6 - 5*s**2 + 12 - 3*s. Calculate l(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s**3 - 1753881*s**2 - 1052340*s + 701556 = 0. Calculate s.\nAnswer: -1, 2\/5, 116926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*w + 107 = -73*f + 75*f + 308*w, 2*f + 42*w = -974 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-28)\/42)\/(1\/2). Let z = 3 + -3.1. Which is the nearest to z? (a) 1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-3)\/((-84)\/20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 6. Suppose -u - 5 = -5*n - 43, 2*n + 8 = 0. Let y(t) = -t**2 - 9*t + 27. Let x(g) = u*p(g) + 4*y(g). Let v(q) = -19*q. What is v(x(i))?\nAnswer: 76*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1\/2, -9.2 in decreasing order.\nAnswer: -1\/2, -9.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5381065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 - -3830788157?\nAnswer: 3830788156.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 11. Suppose 7*k = 16 - g. Suppose -2*w + 43 = s - 14, -k*w = -3*s + 179. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1493045793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/16)\/(66\/44)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 390 + -387. Solve -n = -m + t, 3*m - m + t - 12 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 3\/14*t**6 - 9\/7*t**3 + 0*t - 6 + 9\/4*t**4 + 0*t**2 + 51\/35*t**5. Factor z(b).\nAnswer: 3*b**2*(b + 3)**2*(3*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-t + 3*t - 4*t) + (123 - 192 + 648)*(-9*t - 1 - 2*t + 6*t) in the form s*t + z and give z.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -3565 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 8*p - p**3 + 0*p in the form d + z*p + g*p**3 + o*p**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -375*o - 4. Let q be b(-1). Suppose -5*n = 2*f - q, 3*n - 5*f - 217 = -9*f. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762096 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41895 is divided by 41876?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1091090 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 14*j = -2. Suppose 1 = j*w - w. Which is smaller: 16\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.01 + -43. Let x = z + -39.11. Let q = x - -39. Which is bigger: q or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128049101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.359 - 13.859. Put 4, -4.6, 0.04, r, 2\/7 in increasing order.\nAnswer: -4.6, 0.04, 2\/7, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32475 and 27028293.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148\/5*o + 2\/5*o**3 - 38\/5*o**2 - 112\/5 = 0.\nAnswer: 1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.705053 plus 48701?\nAnswer: 48221.294947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4448 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 80*y + 21*y**2 + 44*y**2 - 34*y - 33*y - 1.\nAnswer: 65*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11032301000 (base 4) to base 3\nAnswer: 2120122221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + 4 + 0 + sqrt(304) - ((sqrt(19) + -1 + sqrt(19) - sqrt(19))*-3 + sqrt(76)\/sqrt(4) + 4))**2.\nAnswer: -42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 18.094. Let c = g + -67.094. Let p = -67.74 - c. Round p to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.711 - -0.05\nAnswer: -1.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000466479647 to seven decimal places.\nAnswer: -0.0000466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0)**(-10))**(-28))**(-1\/21) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + (7 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/67 (b) 2\/19 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 125 + 846*a**2.\nAnswer: 846*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -204715576370 and -1.68.\nAnswer: -204715576371.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -16 - (147 + -180)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let o(z) = 234*z - 234*z - 178*z**2. Determine o(h(s)).\nAnswer: -178*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 2*v**2 + 2*v**2)*(3 - 3 + 1) + (v - 2 + 2)*(-4*v + 2*v + 0*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:32 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 2*t**2 - 2*t + 0*t**2 in the form p*t + y*t**2 + w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 20*h**2 - h - 17. Let y be x(-20). What is the biggest value in y, 5, 1\/7, 1\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -724, -1419, -2120, -2827, -3540?\n\"Answer: -3*x**2 - 686*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.4 (b) 0.4 (c) -1\/2 (d) 7977\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-3)\/y)\/y))**(-23)\/((y*y*y\/((y*y*y\/(y*(y\/(y*y\/(y\/y**11*y)))\/y*y*y))\/y))\/(y**(-14)\/y)))**(-1\/8) assuming y is positive.\nAnswer: y**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3218?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 131133 (base 4) in base 14?\nAnswer: 98b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at least as big as 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**3\/3 + b**2\/2 + b. Suppose -674 + 844 = -34*d. Give w(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(2\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089174 to the nearest 10000.\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20dc4 (base 16) to base 7\nAnswer: 1100260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and -91.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10792, 22107, 33950, 46321, 59220, 72647, 86602?\nAnswer: 101085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z**2 + 79*z**2 - 41*z**2 - 10*z**3 + 25*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 - -201. Let s(h) be the first derivative of 3*h**2 + 2*h - 4. Is s(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 145*z - 202. Calculate the least common multiple of 440 and r(-46).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 2*x - 9*x + 9*x**2 - x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -2*p + 7, -3*p = -5*t - 28. Factor 2*x - 5*x + p*x**2 - 3*x**3 + 0*x**3 + 0*x**2.\nAnswer: -3*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 - 103*d + 16. Give r(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*h = 2, -h + 97 - 92 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 18, n: 2}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvvr when four letters picked without replacement from vevvvvfvrrvvvvvvv.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 533 + 543 = 0, -2*h - 4 = 2*y. Solve -y*g = -2*p - 8, 0 = -2*g - 0*g - 3*p + 27 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/11 + 3607136*d**3\/11 + 1626428765312*d**2\/11.\nAnswer: 2*d**2*(d + 901784)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90673021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 248*o**3 + 5*o**2 - 4*o - 37. Is 59 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 504063\/16 + -31505. Calculate the common denominator of p and 11\/4682.\nAnswer: 37456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/98)\/(4\/(-14)). Which is the closest to 4? (a) 2\/11 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0174751 and -55.\nAnswer: -54.9825249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6175 is divided by 233?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 + 21*l - 13. Let q(h) = -h**3 - 5*h + 3. Give 18*q(p) + 4*t(p).\nAnswer: -2*p**3 - 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 m, and 1 p when four letters picked without replacement from ppcggmpplmm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-4)\/3)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1533, 3069, 4607, 6147, 7689, 9233?\nAnswer: 10779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016822 rounded to five dps?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47776871 and 5296?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 135*t**2 + 909*t - 777.\nAnswer: 3*(t - 37)*(t - 7)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (4*(sqrt(70) - (sqrt(70) + (sqrt(70) - sqrt(70)*-2))) - sqrt(70)))\/((sqrt(30)*-1)\/sqrt(3)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 4 + 0 - 13) + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1488 - 1457. What is the closest to -1\/4 in 5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27114 divided by 3.\nAnswer: -9038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1227 = 294 + 495. Calculate the smallest common multiple of j and 96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -472130926 - -472130938.00000003. Let v = y + -12. What is v rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -22b3?\nAnswer: 22b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -157383.1?\nAnswer: 157388.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1946515, -1946512, -1946509?\n\"Answer: 3*i - 1946518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 3*s + 4*s + s + 2*s - 2*s + (0 - 1 - 1)*(-s + 0*s + 0*s) + (0 + 2 - 1)*(7*s + 9*s - 6*s) to the form p + w*s and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551390236 divided by -4.\nAnswer: 137847559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 227*f**2 + 1148*f - 141. What is a(-5)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12973 - -12968.3. What is the second biggest value in 0, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010509 - 174?\nAnswer: -173.989491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(10\/(-4))*-1. Suppose -l + 4*s = 2*s - 4, 0 = 4*l + t*s + 14. Let q be (-4)\/(-14) + 22\/(-28). Is q greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 41 - 87 - 29*g.\nAnswer: -29*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3 - 17. Let x be (t - -11)*(-3)\/16 + 1. What is the third biggest value in -3\/4, 0, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d. Suppose -7*y + 322 = -d*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five sevenths of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-15) - -2)*-57. Let u = -34 - t. Let m(g) = u*g - 3*g + 4 - 6*g + 4*g. Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 96*l**3 - 21*l**2 + 234*l - 468. Let t(x) = -159*x**3 + 41*x**2 - 469*x + 936. Let d(j) = 3*t(j) + 5*v(j). Factor d(g).\nAnswer: 3*(g - 4)*(g - 3)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/174 (b) -0.03 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 492912, 492911, 492910, 492909?\nAnswer: 492908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004106465 to 7 dps.\nAnswer: -0.0004106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.03 (b) 2 (c) -48 (d) -101 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840 and 62440.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-14)*2408\/(-2752).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -0.345?\nAnswer: -9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -11\/4*q**5 - 25\/3*q**4 - 19*q**2 - 1\/42*q**7 + 0 - 5\/12*q**6 + 0*q - 40\/3*q**3. Suppose j(w) = 0. What is w?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8998342 tonnes?\nAnswer: 899834200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432 (base 12) in base 7?\nAnswer: -6554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o - o**3 - 3*o**3 + 7*o**3 + o**3 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3 - 2672*t**2 + 631157*t + 633830 = 0.\nAnswer: -1, 263, 2410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -820, 3851, 16536, 41243, 81980?\n\"Answer: 668*f**3 - f**2 - 2*f - 1485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/11)*(d*d**(-1\/9)*d)\/d)\/((d*d**3\/d*d)\/(d**9\/d)))**(-2\/3))**28 assuming d is positive.\nAnswer: d**(-33152\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2835768*a**2 - 500417*a + 2?\nAnswer: -5671536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 5883 = -24*x. Calculate the highest common factor of 74 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - 0.2. Let w = 34535 - 34536. What is the closest to -1 in w, -3\/8, b, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3081\/(-195) + 93\/310\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 17*l**2 + 15*l + 20. Let r be v(16). Suppose 0 = -12*u + 32 + r. Solve -3*h + 6*h = -u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.05 (c) 5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9516373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/4)\/7 + 5769\/18 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45329, 45334, 45339, 45344, 45349, 45354?\n\"Answer: 5*j + 45324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by -658?\nAnswer: 71\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*b - 4*h + 5*h, -3*b + 5*h = -31. Calculate the remainder when b is divided by 12\/2*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i**2 - 3*i - 6. Let v(f) = f**3 + 29*f**2 + 53*f - 31. Let k be v(-27). Give x(k).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 19 = z, -15 = r - 5*z. Suppose 5*p = -r*a - 8 - 7, -4*p = -5*a - 24. Is a <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 23. Let x be l(5). Let v(b) = b**2 - 26*b - 36. Does 13 divide v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.103 times -6.860639\nAnswer: -0.706645817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 4 (c) -0.1 (d) 1592371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0*h**3 + h**3)*(-56*h - 46*h + 22*h) - 2*h**4 - 6*h**4 + 2*h**4.\nAnswer: -166*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 625, 2, -52, -2 in decreasing order.\nAnswer: 625, 2, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4761979453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 0.5, -2\/5, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 b when four letters picked without replacement from gbbbbgbgbbgbgbbb?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 4811.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 228 = 5*c. Suppose c + 11 = 2*l. What is the remainder when 78 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4142644 = -10*h + 3*k, -2*k - 5178305 = -5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 + 12*l**3 - 34*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14045491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**33*(g\/(g\/(g\/(g**0*g))))**(-18) assuming g is positive.\nAnswer: g**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 303592 - 303372.999892. Let k = 219 - d. Round k to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3197202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171052159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 8503?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -2335\nAnswer: -31\/2335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18594.8 times -3?\nAnswer: -55784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Let d be (-6 + 4)*r\/(-4). Solve -d*a = 4*b - 23, 0 = 5*b + a + 4*a - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/130 and -39\/4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7 + 3. Solve -d = -t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 101848, 203726, 305602, 407476, 509348, 611218?\n\"Answer: -g**2 + 101881*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431 - 1?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 + v - 5. Let p be d(-4). Let a = p + -3. Let w be (-2)\/(-5)*5 + 1. Solve g + 4*b = -1, w*g - a*b - b + 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -29784.23.\nAnswer: -29786.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(432))\/sqrt(2))\/(sqrt(12)\/(sqrt(42)\/sqrt(7)*-4))*3.\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34947 = 33187*c - 34246*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6*q = -5*c + 13328, -2*q = -6. What is the greatest common divisor of c and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8824.1 in -1\/8, -0.4, 0.4, 1, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*w - 29 = -j, 0 = 3*j - 3*w - 27. Suppose j*b - 165 = 2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73912, -148061, -222210, -296359, -370508, -444657?\nAnswer: -518806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -31. Let a be g\/(-12)*12\/(-75). Which is smaller: -20\/11 or a?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2734303 + 660819 = -21158*v for v.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*a - 33 = 0, 5*n - 40 = a + 75. What is the highest common factor of n and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10*o - 4 = 14*o, -4*w + 13 = -o. Suppose -w*d + 66 - 50 = 0. Find b such that 2\/7*b**3 + 0 - 2\/7*b**d + 4\/7*b**2 + 0*b = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85638 is divided by 216?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -127? (a) 0.1 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -883*i + 225*i + 11186 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**4 + 6*d**3 - 4*d**2 - 31 - 3*d**3 + 38 + 4*d**3 - 8 in the form h*d**4 + y*d**2 + n + p*d + k*d**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/8 - a**2 - a. Let z(i) be the first derivative of s(i). Let h = 2 - 3. What is z(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1048939*q**4 - 1531913*q?\nAnswer: -12587268*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w + 5. Let d = -156 - -161. Let t(s) = -s**3 + 4*s + 6. Give d*t(j) - 6*m(j).\nAnswer: j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/510*522\/(-232)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/1287*48\/(-8)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18948 - 18954. Let n(s) be the first derivative of s**4\/4 + 7*s**3\/3 - 5*s**2\/2 - 3*s - 1. What is the units digit of n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(50)\/sqrt(10)) + 2 + sqrt(35)\/(sqrt(720)*-6).\nAnswer: 2 + 71*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - -4) + -4 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 9 + 3 - 8. Let x be (-2*61)\/c - (93 + -89). Calculate the highest common divisor of 76 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 361, 358, 353, 346, 337, 326, 313?\n\"Answer: -c**2 + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7629260 divided by 100385.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*k**3 - 389*k**3 - k**2 + 297*k**3.\nAnswer: 81*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-126))\/(40\/(-168))*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 47*v - 189. Let r(a) = -127*a + 503. Determine -21*p(q) - 8*r(q).\nAnswer: 29*q - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 1551 - 285. Let z = -2747\/6 - n. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 1.3. Let n = 40 + -39.1. Let t = v - n. Which is the closest to t? (a) -4 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -244.3 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 9*r**2 - r + 27. Let o(f) = -2*f**3 + 12*f**2 - f + 27. Determine -4*i(n) + 3*o(n).\nAnswer: -2*n**3 + n - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/120 + 33*c**4\/16 - 25*c**3\/3 - c**2 + 136*c. Find r, given that l(r) = 0.\nAnswer: -100, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-5041 + 146 + 2*d + 1538).\nAnswer: 2*d - 3357","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:30 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -314*s**2 + 31139*s - 5259. Determine r(99).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 - 2 = -4*d, 4*c = d + 4. Which is smaller: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36 + 415*w**4 - 234 + 71*w**4 + 47*w**4 wrt w?\nAnswer: 2132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/90 and -59\/31092855?\nAnswer: 186557130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41411 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.1 + 24.1. Which is the smallest value? (a) 1\/11 (b) 0.5 (c) -6\/11 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - -14)\/((-2)\/10). Let d(g) = 6*g - 3. Let w(u) = 7*u - 4. What is a*d(r) + 4*w(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318846077 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**2 + j**2 + 2*j**2 + (0*j + 0*j - j)*(3*j + j - 3*j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3255 + -3256. Which is the biggest value? (a) 1 (b) 20\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 + -22. Let h = 58 + t. What is the remainder when h is divided by 0 + 0 + 2 + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -918 - -3?\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let h(m) = -523*m**2 + 6. What is y(h(z))?\nAnswer: 273529*z**4 - 6276*z**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(55) + sqrt(495)\/(sqrt(9) - sqrt(36)))\/sqrt(5))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 - -210. Is -7\/2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 6*v**2 - 7*v + 2. Suppose h = -3*h - 28. Let u be s(h). List the prime factors of 8 + -1 + u\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7986 + -2?\nAnswer: -7988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 42. Suppose o*z - 6 = 3*z. Suppose -3*v + 15 = z*y, 0 = 4*y - 2*y + v - 5. Put 1, -1, y in descending order.\nAnswer: 1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p + 216*p - 46*p**3 - 435*p - 15*p**3.\nAnswer: -61*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*f - 3*c + 1, 0 = 3*f - 5*c + 12. What is the remainder when (57*(-10)\/(-15))\/(f\/2) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/4 = 3291\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014446 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s**2 - 31*s + 197. List the prime factors of n(40).\nAnswer: 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -16\/397, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*v + 41*v - 76713 - 16599. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43385\/147 + -2068\/7. Let i = x + -2\/49. Let y = 281 + -281.5. Which is the closest to i? (a) 4\/9 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k**5*s + 19*k**4*s**2 + k**2*s + 145*k*s**2 - s wrt k?\nAnswer: 480*k**2*s + 456*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from shohxho.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 9*c**2 - 9*c + 13. Let d be p(-10). Suppose 5*h - 2*r - r = 179, 25 = h + d*r. Let s = 48 - h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11187256 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28532 is divided by 95.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(11\/440)*(-42)\/(-3136)*24?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.165315cm?\nAnswer: 1653.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 6)\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -0.057.\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2129 - t**2 - 2129. Let j(n) = -3*n - 1. Give d(j(k)).\nAnswer: -9*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11322311 (base 4) to base 11.\nAnswer: -17241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**4 + 3*f**4 - 16*f**4 + (60 - 173*f**2 - 60)*(-4*f + f**2 + 4*f).\nAnswer: -193*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 20, -4, -5 in increasing order.\nAnswer: -95, -5, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnm when three letters picked without replacement from fncmv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ca (base 14) to base 5.\nAnswer: -4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4548.4 + -4547. What is the second biggest value in 11, 5\/3, g?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -57, -108, -151, -168, -141, -52, 117?\n\"Answer: 3*j**3 - 23*j**2 + 7*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2885\/2 - -1394. What is the common denominator of (-12)\/(-36) + 622\/132 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67521624 divided by 16880406?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/6 + h**2 - 18*h. What is u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1704 + 220a9?\nAnswer: 206a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40142195\/612808 + 23100\/353. What is the common denominator of 101\/64 and y?\nAnswer: 13888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 95, 104, 127, 170?\n\"Answer: s**3 - 2*s**2 + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 484?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 2*x)*(-2 + 1 + 6)*((34*x + 10*x - 6*x)*(1 - 5 + 6) + x - 5*x + 2*x + 3*x + 2*x - 4*x + (-4*x - 2*x + 5*x)*(0 + 0 - 2)).\nAnswer: 770*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.46 + -395.54. Let t = s - -402.9999663. What is t rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11156939 is divided by 485.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -164, -168, -172, -176, -180?\n\"Answer: -4*o - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 189191710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4869*q + 5192*q + 5120*q - 14850*q. Let y(s) = 6*s. Give l(y(j)).\nAnswer: 1986*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3))**(-38)*(z\/z**(-1))**(1\/23))**(-17\/6) assuming z is positive.\nAnswer: z**(14807\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l - 3. Suppose -l*x = x + 20. What is x rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x + 141 - 10*x**2 + 147 - 280 - 2*x**2.\nAnswer: -4*(x - 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450723.\nAnswer: 3, 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98842 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**5\/20 + 11*g**4\/12 + 4*g**3 - 13*g**2\/2 + 31*g + 2. Let l be q(-7). Solve l*z = 14*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*x + 7, -2*t + x + 5 = -0. Suppose 4 = -p + 2*n, 0*p - n = -t*p + 4. Solve j = -p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.74, 5, 4 in ascending order.\nAnswer: -5.74, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(-5)\/(-15)*-3. Let t be (-4)\/i + (-669)\/(-15). Suppose 3*y + 2*y - t = 0. Which is bigger: 10 or y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893564.3 millilitres to litres.\nAnswer: 893.5643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -704*i - 2112. Let k(q) = -2. What is -4224*k(g) + 4*s(g)?\nAnswer: -2816*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -23*k + 4. Let i(s) = 70*s - 14. Calculate -2*i(n) - 7*q(n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019839 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 27 (c) -1.4 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62 + -10 + (56 - 34 - 7)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114411224 - -11?\nAnswer: 114411235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(((-147)\/7)\/147)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -28*t + 105. Give m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*5508\nAnswer: -22032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08359 and 0.3105.\nAnswer: -0.025954695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 123132 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -826 divided by -7\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/(4\/6). Let m be 1\/n + 34\/4. What is m rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -1. Let u = 0 - h. Suppose 2*t - 4*w + 20 = -2*t, t + 2*w - 4 = 0. What is the biggest value in 0.1, u, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 480 or 514?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1225, 1224, 1221, 1216?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a - 342 = -13*a + 15*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.18, -84, -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*c - 65, -q - 5 = 5*c - 2*c. Suppose -85 = -5*x - 10. Let t = x + q. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 87, 191, 347, 561, 839, 1187, 1611?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1130 = -4*v, 3*v = 2*a - 0*v + 793. Which is smaller: -387 or a?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let d(s) = s**2 + 5*s + 17. Let p(y) = 5*c(y) - d(y). Let w be p(-4). Solve -5*m = -w + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 37740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p + 9 = 0. Let z = p - -6. Find the second derivative of -5*w - 2*w**z + 2*w + w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -916674 divided by 8041?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*p + 33 = 81, -3*k + 69 = 2*p. Let d be (-2 - k\/(-6))*2. Suppose 5 - 3 = 2*c, 0 = d*l - c - 29. Solve 4*a = -a - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 5*b. Let c(t) = -t. Let h(u) = -6*c(u) - 2*m(u). Solve h(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330223 (base 5) in base 14?\nAnswer: -11723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 882 - -4553. List the prime factors of t.\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 57 = -3*x - 0*x, a - 15 = 3*x. What is the greatest common factor of a and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 124796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3061*a**2 + 10*a**3 + 3063*a**2 + 2*a. Let p = 2 - 3. What is u(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, 3, -3 in descending order.\nAnswer: 3, -3, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let m(z) = -143*z - 280*z - 124*z - 2*z - 19*z. Give t(m(y)).\nAnswer: -645248*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 544 - 110. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from meeeeexexxxmexem?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*o**2 + 73*o**2 - 212*o**2 + 72*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -71. Suppose -g*j + j - 2*z + 310 = 0, 2*z + 306 = 4*j. Suppose 0 = 4*k + d + j, -6*d = 2*k - 5*d + 41. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 22*j + 10. Calculate n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21075.27 years?\nAnswer: 210.7527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/5 + 48*n**3\/5 + 573*n**2\/5 - 230*n - 25392\/5 = 0.\nAnswer: -23, -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (-1*(sqrt(8)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + 1 + -2))**2.\nAnswer: -sqrt(2) + 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -281, -0.3, -3\/7 in descending order.\nAnswer: 1, -0.3, -3\/7, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n. Let a(x) = -14*x - 2. Let q(h) = -4*a(h) + 3*r(h). Give q(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 + 229 = 3*f - b - 194, -2*f = 5*b - 73 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**2 + 5 + 67*b**3 - 19 - 11*b**2 - 68*b**3. Give z(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1) - 8) + 1. Let c be 0 - (z + (1 - 0)). Suppose c*s = 20 + 30. Calculate the highest common divisor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 7:32 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 3*k. Let r be p(-4). Suppose 52*z = 50*z + r. Let j = z - -14. Solve 0 = -3*i - 3*t - j, 0 = -i - 2*t + 5*t + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11 + 7*g + 35 - 10. Let o(y) = -3*y - 6. Let v(q) = -9*o(q) - 4*s(q). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2334240833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4270 - 1786 - 1754)*(1 + 3*i + i - 2*i) as w*i + d and give d.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-5)\/2)*5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 676296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/3 - 5*l**3\/6 - 5*l**2\/2 + 2*l. Let y = 8 - 6. Let q(a) = 5*a**y + 0 - 4 - 6*a - 2. Give -5*q(r) + 6*u(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + 2*v**4 - 3*v**4 + (-6*v**2 + 2*v**2 - 2*v**2)*(4*v**2 + 2*v**2 - 4*v**2 + (v - 2 + 2)*(-3*v + 2*v + 2*v) - 22*v**2 - 8*v**2 - 2*v**2).\nAnswer: 175*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4, 5*g - 3*a = 359 - 306. Solve -g*w + 15*w - 15 = -5*d, -w + 3 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 243 - 162. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33167191 to the nearest integer?\nAnswer: 5759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2 - 4)\/(-1). Let u be (-266)\/(-35) - ((-2)\/5)\/1. Let a(n) = -n**2 - 8*n - 3. Let d be a(-5). Solve b*p + d = -u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a meter in millimeters?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 529 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.437 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -8 - (5 - (5 - 2)))\/(153\/(-408)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(9\/2)\/(j\/(((j**5\/j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**2 + 21361380*r - 3432338 wrt r?\nAnswer: 4*r + 21361380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Let l = -0.44 - 0.06. Let q = -60 + 178\/3. Which is the smallest value? (a) l (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 - 1112*l**2 + 1112*l**2)*((1 - 1 - 1)*(l + 0*l + 0*l) + 15*l - 19*l + 12*l).\nAnswer: -35*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -862, -6823, -23008, -54529, -106498?\nAnswer: -184027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6)*-5 - sqrt(6))\/sqrt(2).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f**2 + 2*f - 2. List the prime factors of q(-3).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let q(w) = 111*w - 505*w + 176*w + 102*w. What is q(u(b))?\nAnswer: -116*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d + 3. Suppose 2*g + 18 = -5*z, -g = -5*g - 4*z - 12. Let i = g + -4. List the prime factors of s(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lggg when four letters picked without replacement from {f: 4, l: 1, g: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (230 - 240) + -4 + -1 + 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -3. Calculate the common denominator of 2\/v + 142\/20 and -37\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51495 and 2000.\nAnswer: 20598000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254537453 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n - 16*n + 29*n - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1331) + (-1 + sqrt(1331) + -4 - sqrt(1331)))**2 - (1*(2*sqrt(1331) - sqrt(1331)) + -1)**2.\nAnswer: -4044 + 242*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o + 90. Let i = o + 25. Suppose -4*z = -m + 48 + 128, -4*m + i*z = -665. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6862180 and -37\/104.\nAnswer: 13724360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2627*0.4.\nAnswer: -0.10508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -11. Sort i, 5, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z\/(z**(-3)*z))\/z)\/z*z)\/(z**5\/z)*(z**(-1))**(-40))\/((((((z**2\/z)\/z*z)\/z*z*z*z)\/z)\/z)**(-44))**(2\/29) assuming z is positive.\nAnswer: z**(1219\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.2 (b) -2 (c) 2\/3 (d) 1\/7 (e) 2\/69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:30 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9892729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {h: 2, k: 4, n: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 94*f**2 - f + 1. Let k be u(1). Let q = k - 58. What is the remainder when q is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*u = -u + 65, 0 = -2*r - u + 26. Let a = 18 - r. Suppose -13*j + 9 = -18*j + 8*j. Solve a*h = j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -18 + 5 - ((-29 - 29) + (7 - -2)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:42 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 0*z + 1890 = 0. What is the lowest common multiple of z and 138?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from qaaaqqaaaaq.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((4 - 5) + 0). Put 3, o, -4 in ascending order.\nAnswer: -4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -6.705 (c) 2\/15 (d) -0.18 (e) 4 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12634356.00199 + -12634611. Let o = i + 255. What is o rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*t - 4*u + 28, 58 = 11*t - 20*t + u - 12 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 - 0)) + (227 - 224).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*l**3 - 262*l**3 + 1011*l**3 - 478*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.357 + -1.42. What is h rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/6 + 54571*d**2\/6 - 744416647*d\/6 - 744580369\/2 = 0. What is d?\nAnswer: -3, 27287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, -3, 47, 1, 5 in increasing order.\nAnswer: -5, -3, 1, 5, 21, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62529 + -1?\nAnswer: -62530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17452100 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 674271 and 24597.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-10)\/(-250))\/(2\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 136649718 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/8319648 and 7\/1422.\nAnswer: 24958944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w + 40 = 0. Let z = -5 - w. Suppose z*g - 12 = -2*t, 2*g + 3*t - 1 = 12. Solve -7*f + 10 = -g*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*g + 161*g - 3*g)*(-7 - 1 + 2) - 8*g + 1 + 3*g + 1.\nAnswer: -407*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139388297 to the power of 1\/2, to the nearest integer?\nAnswer: 11806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 29*b**2 + 3*b - 20. List the prime factors of h(-13).\nAnswer: 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - o - 3*o)*(5*o + 0*o - 3*o) - 4*o**2 - 15 + 15)*((-2 + 2 + o)*(0 + 0 - 3*o**2) + 2*o**3 - o**3 + 4*o**3).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -41. Let k(y) = 4*y**2 - 3. Let w(z) = -z**2 + 1. Determine t*k(b) - w(b).\nAnswer: -3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2211 (base 3) to base 4\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-7) + (-6 - 264\/(-42)). Suppose -2*d = -5*n + 14, -3*n + d + c + 5 = 0. Suppose -n*a - 396 = -2*q + 428, 0 = -3*a - 15. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 15. Let t be g(-7). Put -4, -1\/4, 1\/9, t, 2\/7 in descending order.\nAnswer: 2\/7, 1\/9, -1\/4, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**3 - 5*s**3 - 6*s**3 + 2 - 2.\nAnswer: 50*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 7, j: 5}. Give prob of sequence jjx.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*c + 2166*n - 2163*n, c + 5*n + 13 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 6*b = -108. Suppose 3*n + b = 5*a, -4*n = -3*a - 2 - 0. Solve -v - 6 = -5*w, -w + n*v = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957 is divided by 658.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let a be (-3)\/(18\/8)*o. Solve 28 = a*b + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31283 and 350.\nAnswer: 1564150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 - -196. Calculate the greatest common divisor of s and 2009.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 23077 and 23127 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, u: 4, c: 4, h: 3, w: 3, t: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/19 (b) 314 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1481131*f**2 - f - 6037576.\nAnswer: 2962262*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(10)\/sqrt(2))**2 + 3 + 2.\nAnswer: sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let i(u) = -u**3 + u. Let z be i(0). Let n(d) = -2*d**2 + z*d**2 + d**2. Calculate w(n(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a - 76. Let y be d(8). What is the units digit of 11 + 84\/y - (-823 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 850 = 4*v, 10*v - 11*v + d = 6 - 40 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 14*o - 44. Let t be u(-7). Suppose 0 = 2*s + 13 - t. Let h(m) be the second derivative of -m**4\/12 - 4*m**3\/3 + m**2\/2 - 4*m. Calculate h(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0193929 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(1\/7)\/(b*b\/(b\/b**0))**(24\/7) assuming b is positive.\nAnswer: b**(-122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**7\/210 + q**6\/240 - q**5\/40 - q**4\/48 + q**3\/12 + 58*q**2. Factor f(o).\nAnswer: (o - 1)*(o + 1)**2*(2*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4 - (-207)\/(-51)). Let z = f + 23. Suppose 3*r = -2*k + z, -3 = 2*r - 4*k - 23. Solve 2*x + 5*d - d = 0, 0 = -x + r*d + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 22*n - 20. Let l be n - (-2 + (-12)\/16). What is the nearest to l in -4, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11.1. Which is the second biggest value? (a) -5\/7 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 5. Let v be k(-6). Let x = 40 - v. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/32*8\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-6)\/288)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -31, -77, -161, -295, -491?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 609880 to the nearest ten thousand.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1445)\/(-150))\/17 - -7*14\/(-245). Let b be -1 + (0 - -4) + -3. Let g = 0.07 + -5.07. What is the nearest to g in b, r, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + 1 + (-470)\/235?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834.6509 years to months.\nAnswer: 10015.8108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 - 11100011?\nAnswer: -100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1312*p + 16054 = 963*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7*i + 60. Let o(c) = c**2 + 7*c + 13. What is the remainder when i is divided by o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 63*r - 1. Let d(k) = -4*k + 11. Let j(z) = -2*z + 6. Let h(p) = -6*d(p) + 11*j(p). What is o(h(f))?\nAnswer: 126*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 3*l + l + 6*l - 17. What is the units digit of y(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587415385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2646753005 to the nearest integer?\nAnswer: 51447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30955.47 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)\/sqrt(12))**2 + (sqrt(176) - sqrt(11)) + 2 - (5*(sqrt(88)*1 - sqrt(88)))\/(sqrt(200)*2 + sqrt(200) + sqrt(200)).\nAnswer: 3*sqrt(11) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14745*h*o**3 + h*o**2 + 5*h*o - 12137*o wrt o.\nAnswer: 88470*h*o + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -707 + 676.9. What is d rounded to 0 decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/20 - 7*d**4\/12 + d**3\/3 - 5*d**2 - d. Let t be h(7). Suppose 0 = -t*a + 24 - 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2 = -4*m, 0 = -2*h + 5*h + 5*m + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + 30*j - 1173. Let y(o) = -o**2 + 6*o - 235. Calculate -2*b(s) + 11*y(s).\nAnswer: s**2 + 6*s - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 10*l**2 + 6*l - 2. What is g(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -364*l + 7. Let p(a) = -1109*a + 20. Let g(t) = 4*p(t) - 11*q(t). Let u(o) = -6*o**2. What is u(g(x))?\nAnswer: -1119744*x**2 + 15552*x - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:22 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -35*f. What is the remainder when c(-1) is divided by ((-12)\/(-3) - 6) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 35*j**3 + 2*j - 1. Let b(m) = -m**3 + 10*m**2 + 23*m + 13. Let a = -31 - -43. Let u be b(a). Is n(u) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**3 + 22*c**2 - 13*c - 16. Let g(o) = 7*o**3 + 15*o**2 - 8*o - 10. What is -8*g(m) + 5*i(m)?\nAnswer: -m**3 - 10*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*o - 694*o + 440 = 0 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513 + -303. Let p = 217 - v. Calculate the remainder when 15 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10012?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.07 and -0.17?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, m: 5, l: 3, a: 2}. What is prob of picking 1 m and 1 s?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -3 + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 11*t + 2*t. What is the highest common divisor of 159 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/10*5\/2. Let o = j - 1. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1082368 and 55472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l + 1. Let u be w(0). Let j = -20 - -23. Suppose 2*c = u - j. Is -1\/40 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000402598 rounded to 6 dps?\nAnswer: 0.000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*d**6*g**3 - 895048*d**4 - 55438*d**2 - 684*d*g**3 + 3*d*g wrt d.\nAnswer: 40200*d**3*g**3 - 21481152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**2 + 7. Suppose 1 = 5*t - 4. Calculate n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, k: 2, h: 2, l: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5320994, -5320983, -5320972?\n\"Answer: 11*w - 5321005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40196266 and 110?\nAnswer: 200981330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/723 or -2\/7?\nAnswer: -2\/723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159030743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34\/(-40) + 1\/4. Let q(l) = l**2 + 189. Let y be q(0). Let r be (-2)\/(-18) - 48\/y. Which is the third biggest value? (a) r (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72a05 (base 14) to base 9.\nAnswer: 461082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -58. What are the prime factors of -15*(-7 + 3 + f)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -532551200 + 5?\nAnswer: -532551151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 142\/833 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + -22 + -64 + 74?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57328 - 194612 = -2210*p for p.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66104120273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Let d = -2 + 1. Let k = 1 - d. Let r(w) = 0*w**2 - 3*w**2 + 2*w**k + 0*w**2. Calculate g(r(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4407, 4400, 4379, 4338, 4271, 4172, 4035?\n\"Answer: -a**3 - a**2 + 3*a + 4406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/31 and (715\/78*(-2)\/(-20))\/(6\/20).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 6667.\nAnswer: 60003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 76. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oookoooooooooooooooo. What is prob of picking 2 o?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-27))\/(6 + (-140)\/24).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71816.5 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257937330 to the power of 1\/2, to the nearest integer?\nAnswer: 47518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 56, -1, -3, -8 in ascending order.\nAnswer: -8, -5, -3, -1, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 - 3*p - 1. Let u(k) = -k**2 + k. Let f(s) = -l(s) + 6*u(s). Let c be f(7). Solve -2*b = -5*b + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 2 (c) 43 (d) 4\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*a**3 - 33*a**3 - 29*a**3 + 13*a**3 - 70*a**2 - 30*a**3 wrt a.\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5658, 5467, 5134, 4659, 4042, 3283?\nAnswer: 2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2. Let y(z) = -17*z - 4*z**2 + 5*z + 7*z + 5*z. Let w(f) = f**2. Let p be 2*-3*3\/6. Let l(k) = p*w(k) + y(k). Calculate m(l(n)).\nAnswer: 245*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + (-2 + 23 - -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*n**3 - 1412*l*n**2 + 1556*n**3 wrt l?\nAnswer: n**3 - 1412*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1845590363 + 2402958506155\/1302. Let j = y - 2\/651. Let q = j - -107. What is the common denominator of 5\/11 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-838)\/(-792) + (-393)\/1572 and 23\/3333?\nAnswer: 9999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -369.1*1\nAnswer: -369.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 748130879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -37. What is the second biggest value in 3, s, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 c when four letters picked without replacement from {c: 16, m: 4}.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18068 is divided by 1004.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4816052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.47 rounded to one dp?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108160, -108023, -107888, -107755, -107624, -107495, -107368?\nAnswer: -107243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6820\/(-165) - -26 - 4\/(-3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/28 - (473\/(-14) - (-707)\/(-202)). Let b(a) = 2*a**2 + 4*a - 13. Let c be b(-11). Calculate the highest common divisor of k and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1046115728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 300*c + 612 = 0 for c.\nAnswer: -102, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11794291 and -1.8.\nAnswer: 21229723.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from yrbbzwrwzybbrrbbw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 333855680 divided by 5\nAnswer: 66771136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22428 is divided by 676.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 36*q - 31*q - 5, 0 = -3*n - 5*q - 18 + 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.2189 and -779?\nAnswer: -5623.5231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2651 and 50850518.\nAnswer: 559355698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2 + 5. Let m(n) = -n**2 - 3*n - 2. Let q be m(-4). Let l be ((-2)\/(-6))\/((-3)\/q). Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450579355 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: What is 4393 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64256728*d**4 + 39142800?\nAnswer: 257026912*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22591929 - -22591927.8999997. Let l = 0.15 + 0.95. Let m = l + u. What is m rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10348379368 to four dps.\nAnswer: 0.1035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25.8? (a) 138 (b) 2\/11 (c) -2\/13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinnnxxlxxix. Give prob of picking 1 x and 1 n.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -87090 times -5?\nAnswer: 435450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1804010, -1804008, -1804006, -1804004, -1804002, -1804000?\n\"Answer: 2*r - 1804012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 2. Determine d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15118832 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877246 is divided by 938596?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2231*t**2 + 3660*t**2 - 2181*t**2 + 30*t + (2*t + 0 + 0)*(0 - 2*t + 0) + 1 + 2*t**2 - 1 to the form d*t + c + u*t**2 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - ((3 - 1 - 7) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5636*u**2 - u**3 + 3*u**3 + 11267*u**2 - 5631*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (-3 - -14) + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -567103*h**3*k + 106*h**3 + 2*h**2*k - 1605*h**2 - 16*h*k + 4*h - 2*k - 3 wrt h.\nAnswer: -3402618*k + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1516 - 200 = -4*u. Let y = u + -112. What are the prime factors of y?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21992 + 3998 = -518*m + 11687 + 363 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1948, -1951, -1954, -1957?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*y - 210*y + 11655 = -723*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/11 + 2*n**2 + 388*n\/11 + 672\/11 = 0. What is n?\nAnswer: -8, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/42186?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 1, l: 1, f: 1, y: 1, h: 1}. What is prob of sequence dy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 1173*g**2 - 1172*g.\nAnswer: -g*(g + 1)*(g + 1172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 10*i**2 - 20*i - 132. Let o be w(-9). Solve 17*r + o = 44 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (2\/(-1) - 4). Let s = -3442 + 3444. Suppose -n - 5*j = -50, 0 = 2*n - j + 6*j - 85. Solve w*f + n = -3*d - s*f, f + 15 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 55 = -37. Let r(a) = a + 8. Calculate the remainder when y is divided by r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -832 divided by 26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479702088 is divided by 821.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 4)*2\/(-20). Let r be 15\/6*-2*-1 + 1. Which is the second biggest value? (a) -0.3 (b) r (c) -1\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s**2 - 2*s + 3 - 3 + s**2 + (-5*s**2 + 0*s**2 + 3*s**2)*(1 + 1 - 3) + s - s - s**2 + (2*s - s + s)*(1 - 1 + 2*s))*(-3*s - 4*s + s).\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 137 - 3169 = 0. Let m = 5318\/7 + w. Suppose m*o**2 + 2\/7*o**4 + 8\/7*o + 8\/7*o**3 + 2\/7 = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*d - 8*d + 7*d)*(2*d**4 + 0*d**4 - d**2 + 0*d**4).\nAnswer: 62*d**5 - 31*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 134\/26 - (-1)\/(-39)*6. Solve -n*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -79. Let y(z) = -z**3 - 2*z**2 - 4*z - 7. Let k be y(m). What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8574 is divided by 195?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558875, 1117752, 1676629?\nAnswer: 2235506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**12))\/(g**(1\/4)*g)*(g\/(g*g**(9\/4)))**(-9) assuming g is positive.\nAnswer: g**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 73938 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1031 - -1045?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*a = -18, 0*t + 4*a - 36 = -4*t. What is the tens digit of t\/(-12)*(-14 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 216 - 212. Let k be (60\/(-420))\/(a\/(-1379)). Is k >= 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4) + 0)*(-224)\/(-6). Let i = 36 + q. Let b be (25\/i*-4)\/(2 + -1). Solve -4*y = -b*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 309280039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h = -610. Let d = h - -67. Let z be 2\/(-5) - 737\/d. Solve 4*m + 22 = 3*l, -4*m - 5 - z = -l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 + 1.2. Let s = 3 - k. Let v = 173 + -173. What is the nearest to v in s, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 25 = 166 + 139 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7817 + 109369\/14. Let h be (-4)\/((-78080)\/(-80294)) - -4. Let m = 6\/305 + h. Find the common denominator of d and m.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-88) - (-77998)\/(-14160)) + (-4)\/(-30)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 + 227 - 680*t - 462.\nAnswer: -680*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101658033 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-252)\/(-20) - (-3)\/(-5). Let l(p) = 24*p**2 - p. Let y be l(1). Suppose 5*g + y = 113. What is the greatest common factor of g and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -447, -446, -457, -486, -539, -622?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 632 - 1006 - 5*u + 926 + 1702*u**2 wrt u?\nAnswer: 3404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**3 + 5*p**2 + 9*p + 5. Let f(q) = -7*q**3 - 6*q**2 - 10*q - 6. Calculate 5*f(i) + 6*u(i).\nAnswer: i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2021450*z - 4042903*z + 2021453*z - 1874*z**2.\nAnswer: -1874*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-2)\/57) - 2. Suppose -12*s = -7*s + t. Does s = -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3682347780?\nAnswer: 3682347776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*d + 40, 5*d = 6 - 31. Suppose -k = -4 + 2. Suppose -r + 52 = k*y. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = 51. What is the remainder when 109 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229097119.\nAnswer: 1451, 847069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -18*u - 4*c, -169*c + 166*c + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -347 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (676\/(-12))\/(1\/6). Let v = -317 - k. Is 133\/6 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/40 and -10 + 2 - (-19151)\/2464.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2 + -8 + 6)\/((-3)\/(-6)). Let p(h) = -26*h**2 - 4*h - h + 6*h. What is p(t)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45201479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 - 2*p**3 - p**2\/2 - 5*p + 4. Let w be u(-6). Suppose -3*s + 19 = q, s + 2*q + q = w. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 11*i**2 - i + 49. Is o(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9805, 296, -3, -5 in decreasing order.\nAnswer: 9805, 296, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 315434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1280884 and 108790.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 0*a - 18 = 0. Let d(r) = -6*r**2 + 2*r**2 + r**2. Let y(g) = -7*g**2. Calculate a*y(j) + 5*d(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 303, 305, 307?\n\"Answer: 2*p + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349422 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939174 (base 11) to base 6.\nAnswer: 52134111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 30 = -26*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1998, -2087, -13.\nAnswer: -2087, -13, 1998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49\/2 - -25. Let y(q) = q + 1. Let w be y(-10). Let o = w + 13. Sort -2, z, o in increasing order.\nAnswer: -2, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55813 less than -28109712?\nAnswer: -28165525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*y - 17 = -0*y, -2*c + 4*y = -10. Is 998\/(-1 - (c + 0)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -33. Let u(a) = -4*a**3 - a - 7*a**3 + 0*a**3. What is the units digit of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 31883?\nAnswer: -31872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92086 and 804068.\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*f**4 + f**3 + 3\/4 - f - 1\/2*f**2.\nAnswer: -(f - 3)*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*w - 8*w. Let v(y) = -3*y + w - 7 + 5 - 1. Calculate v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 108 - 167 = -a, -5*f - 415 = -5*a. Solve -2*p + a - 89 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d + 6 = 33*d. Suppose -8*x - 38 = -d. Let z be (-282003)\/(-15) + x\/20. Round z to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -46141*i. Let l(w) = -w**2. Determine l(h(u)).\nAnswer: -2128991881*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3*z**2. Let y be g(-3). Suppose -4*s - 4*k + 32 = y, 15 = 3*k - 0*k. What is the derivative of -8 + 316*v**3 - 316*v**s + 7*v**4 wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19806346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6970)\/(-4165)*((-91)\/(-30) - 3) and 35\/12?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*a + 266. Let b be 1\/(231\/a + 4). Let w = 57 - b. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-25)*2\/(-380). Let n = -35609\/19000 + u. Let d = n + 119\/72. Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 16.37905 micrograms?\nAnswer: 0.01637905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -11\/16 (c) 2\/5 (d) -3\/2 (e) 2\/17 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1881, 6498, 14873, 23244, 31611, 39974?\nAnswer: 48333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1467 and 268914303?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5648902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1204 or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132065.\nAnswer: 3, 5, 11, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -31, -4, -5 in increasing order.\nAnswer: -31, -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*g + 294, -x + 99 = -0*x - 2*g. Let v = 35 + x. Calculate the greatest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2960b - 1?\nAnswer: -2960c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1401483 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 21. Let z be p(-8). Let s be (z\/4)\/(6\/(-16)). Suppose -504 = -s*k - 4*k. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 33. Suppose -3*v - 2 = -5, -3*l - 5*v + 14 = 0. Let s = l - z. What is the greatest common divisor of 48 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**3 - f**2 - 293*f - 293. Let u be b(-1). Factor 10\/3*t - u + 2\/3*t**2.\nAnswer: 2*(t - 1)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 94*x.\nAnswer: 2*x*(x - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1204157 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1826 + -1793. Let u(o) = -12*o**3 - 2*o**2 - o. Let x be u(-1). Calculate the greatest common factor of x and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 - 1020*u - 12592. Give q(-12).\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 409 and 1908230809.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3024 and -125\/108.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 35 = 25106*z - 25111*z, 4*z = -5*y + 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 1224 - 102. Let d = x + 223. Solve s + d = -5*f, -2*f = -2*s - s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -26 - 6) + 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13*k**2 - 121*k + 499. Calculate l(4).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-6))\/((-306)\/6885))\/(300\/(-840))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 8*l - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110 - -10001?\nAnswer: -10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 306\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 + (-4 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose -h*p = 5*i - 0*p - 22, 4*p - 10 = 3*i. Solve 0 = 2*w + s, -5*w + 4*s + 22 = -i*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14086 - -22?\nAnswer: -14064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 14*d + 160, 4*k - 12 + 228 = 14*d + 26 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 - 3 - v + 2*v**2 - 15*v**4 + 14*v**4 + 2*v**3 to p*v**4 + o*v**3 + t*v**2 + r + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**8\/336 - 3*i**7\/14 + 13*i**6\/12 - 2*i**5 + 879*i**2 + 1. Factor h(k).\nAnswer: 5*k**2*(k - 4)*(k - 3)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 69. Let d = y - -16. Calculate the greatest common factor of d and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 122\/8 + -1 + (-3)\/(-4). Let t be (2 + (-72)\/k)*(-245)\/(-70). Which is smaller: -10 or t?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 8973025.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - ((-2 - 43) + -144 + 160)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 2:18 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 685902*q**3 + 4633*q - 1?\nAnswer: 4115412*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 5:14 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:41 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 150060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + 3*a)*(-8 + a + 8).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2. Let f(q) be the first derivative of 9*q**2\/2 - 2*q - 217. Calculate v(f(h)).\nAnswer: 405*h**2 - 180*h + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hht when three letters picked without replacement from {t: 2, b: 2, d: 3, h: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -6 (c) 1\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 at least as big as 543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 1649?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 3*k**2 - 34*k - 27. Let m(i) = i**3 + 2*i**2 - 17*i - 14. Let u(c) = -5*m(c) + 3*p(c). What is the hundreds digit of u(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/253 and -39\/284845?\nAnswer: 6551435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 110 + 5. Let f = u - -15. Is f < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 + 209. Let g(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 3*s**2 - 3*s - 2. Let p be g(5). Calculate the highest common factor of x and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1 + n**3 + 12*n + 0*n**3 - 5 + 9*n**2. Let x be v(-6). Find the second derivative of -23*a - 6*a**5 - 5*a**5 + 68*a - x*a wrt a.\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95161958 rounded to the nearest 100000?\nAnswer: -95200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/(((-18)\/(-21))\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (1 - 6 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - (7 + -1 + 6)) - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 52*h + 50.\nAnswer: 2*(h + 1)*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from gxoxxxggxxg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -71, -76?\n\"Answer: -5*u - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 254 + 1?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s = -53*s + 188. Calculate the remainder when s is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2 - -34) + 2 + -2. Suppose 2*t + c = 3*w, w + 5*t + 6 = 1. Let n be (-486)\/(-90) - 4\/w. Let l(q) = -q**2 + 7*q - 3. What is l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**4*(b\/(b*b**(-1\/2)))\/b**(3\/2))**(-2\/115) assuming b is positive.\nAnswer: b**(-2\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3\/6 - 7*a**2\/2 - a. Let r be j(-10). Solve -2*y = r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y + 733. What is the units digit of s(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 10 = 0. Factor -j - 4*z**3 - 2*z**3 + 5*z + 2*z**2 + z**3.\nAnswer: -(z - 1)*(z + 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 1. Let r(p) = -p + 394. What is l(w) - r(w)?\nAnswer: -2*w - 393","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 239*z**2 + 2*z - 187. Let b(a) = -40*a**2 + 29. Let q(x) = -13*b(x) - 2*k(x). Determine q(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*j - 4*j + 5*j)*(-7*j**2 + 4*j - 4*j).\nAnswer: 147*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 + -12)*(1 - (-5)\/(-3)). Put -10, -3, j in ascending order.\nAnswer: -10, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45681\/209 - 2769\/11. Which is bigger: -32 or b?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1130001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2402760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5830 and 134090?\nAnswer: 134090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4159 + 6671 = 3*z. Let a be z\/60 - (-2)\/(-12). Let j be (5 - 0)*96\/a. Solve -5*n - j = l - n, 2*l + 5 = 3*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(96)*-3 - sqrt(6)))\/(-2*(sqrt(24)*-1)\/sqrt(12)).\nAnswer: -13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 28120 = 40088. Let v be i\/(-18) - 10\/6. What is v rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2564879 is divided by 104.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104492*f + 104494*f + 1298 = 208964*f for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -0.2 (c) -0.0451 (d) 5 (e) -2\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(36)\/(-1*sqrt(3))))\/(sqrt(32) + sqrt(512) + sqrt(512)*-4 + sqrt(512)))**2.\nAnswer: 1\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 3. Suppose 21 = -2*i - u. Let b = i + 23. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*u - 14 = 0, -4*w - 4*u + 28 = -0*u. What is the lowest common multiple of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Factor w**2 + 3*w**4 + 0*w**2 - w**5 + 2*w**z + w**3 + 2*w**5.\nAnswer: w**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + o. Let a(m) = 9*m**3 - 16*m**2 + 8*m - 1. Let g(r) = 6*a(r) - 51*z(r). Solve g(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71409527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-1 + sqrt(13) + (sqrt(91)*-1)\/sqrt(7) + 0 + (sqrt(13) - sqrt(39)\/sqrt(3)) + sqrt(65)\/(-1*sqrt(5)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16179570 by 6094.\nAnswer: 2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - 203302 = 77420. Is 61 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) + -3*sqrt(189) + sqrt(21) - sqrt(21))\/(sqrt(33)\/(3*sqrt(11))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = -72*f + 4*q, -205*f + 2*q = -207*f - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 + 295512*y\/5 - 295492.\nAnswer: -4*(y - 73873)*(y - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*c + 19 = 0, -2*x - c - 2 = -3*x. Sort -0.06, x, -12 in increasing order.\nAnswer: -12, -0.06, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/12)\/(450\/40 - 6))\/((-28)\/98).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 39 + 0 = -i, -4*i - 14 = -q. Let g be q\/45 + 11\/(-9). Let b be 6 - (g + -1 + 3). Solve 5*t + 14 = 2*d, b*t - d + 16 = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3553249133 to the nearest integer?\nAnswer: 59609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*g - 6*k - 24, -5*g = 2*k - 9. Let o = g - -2. Factor -2\/7*w**o + 0*w - 2\/7*w**4 + 2\/7*w**2 + 0 + 2\/7*w**3.\nAnswer: -2*w**2*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -2405, -5385, -9545, -14879, -21381, -29045, -37865?\nAnswer: -47835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((6 - (1 + -5)) + 2) - (2 + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 5*z, l + l - 10 = -2*z. Let x = -5 + 4.95. Let m = -0.95 + x. Which is the nearest to 1? (a) z (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a**3 - a**2 - a - 1. Let k(y) = 2*y - 4. Let d be k(3). Suppose 2*f - 4*f = d. Calculate the remainder when 22 is divided by b(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*w - 2\/7*w**2 - 1694.\nAnswer: -2*(w - 77)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*i - 3*i + 4*f, f = -3. Suppose 0 = -4*q + 3*q - 3*c + 8, -q - 4*c = -9. What is the smallest common multiple of 1\/5 - (-29)\/q and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.5581125 rounded to 3 dps?\nAnswer: -31.558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -830, -831, -832, -833, -834?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -569 in -2\/5, 0.5, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11844*r**3 - r**2*t**3*y - 2*r**2*t**2*y + 3*r*t**3*y - 2*r*t**3 + 20*r*y - 2*y - 219 wrt r?\nAnswer: -71064*r - 2*t**3*y - 4*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose 4*z = 12, 0 = -p*b - z + 21 + 38. Solve 2*a + 4 - b = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.997519nm in millimeters?\nAnswer: 0.000000997519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 2098.55?\nAnswer: 2101.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -5 (c) 29310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*c + 4 + 4*c - 5*c - 2*c + (6*c - 4*c - 4*c)*(-2 - 1 + 1) + 0 + 0 - 2*c + c + 4*c - 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44095?\nAnswer: 5, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 56*d - 4131 = 0. Suppose -d*p = -74*p - 3577. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2385.1376*-0.3.\nAnswer: 715.54128","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b**3 - 122*b**2 + 23*b - 95. Give m(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -76. Let p(i) = 31*i - 7. Let g be p(h). Suppose 0*o + g = 2*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -38, 4 in decreasing order.\nAnswer: 5, 4, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 = -0*o + 3*o, -j - 23 = -4*o. Let h(i) = i**3 + 6*i**2 + 3*i - 4. What are the prime factors of h(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2240)\/(-1920)*20\/(-49)*(-21)\/18.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 4)*(0*t + t - 3*t) - t - 4 + 4)*(-1 + 4 + 2).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.2 - 6.8. Let k = c - -78.000204. Round k to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let i(v) be the first derivative of 21*v**2\/2 - 3*v - 119. Calculate i(z(p)).\nAnswer: 42*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/(-104) - 3 - (-5)\/(-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:34 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*275.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Let c(i) = 97*i + 15. Let u(k) = -15*k - 2. Let a(m) = -c(m) - 6*u(m). Let v(s) = 7*s + 2. Give o*a(b) - 5*v(b).\nAnswer: -7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/4)*d))\/d*d)**8\/(d**(-3\/4)\/d**(1\/4))*(d**9\/d**(-2\/15))**(-1\/12) assuming d is positive.\nAnswer: d**(-317\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*1\/((-2)\/1)*(-800)\/320?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0785246 - 17.0790746. Let k = j - -17. What is k rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j**2 - 5 + 51659*j - 51659*j - 3 + 4*j**3 in the form a*j + f + i*j**3 + v*j**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 5, -0.09, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*x - 6 = 0, -7*k - 132*x + 133*x = -2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/7480*10)\/((-18)\/(-24)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/13 - 264*s**3\/13 - 968*s**2 - 255552*s\/13 - 1874048\/13 = 0.\nAnswer: -44, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*n - 19 + 10, -7*n - 3*c - 37 = -18*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-294)\/(-24) - 144\/12)\/(3\/36). Let v(t) be the third derivative of 0 - 15*t**2 - 25\/12*t**4 - 1\/12*t**5 - 125\/6*t**p + 0*t. Let v(y) = 0. Calculate y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784 = -259*h - 29 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226872401.\nAnswer: 7, 373, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 1.2. Let g = u - 0.2. Put 2, 0, g in decreasing order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = 2*s + 12, 3*s - 2*z = 7. Let v(a) = 4*a**3 - 4*a - 2*a - 4 + 2*a + 1. Let w(c) = 5*c**3 - 5*c - 4. Let l(q) = 4*v(q) - 3*w(q). What is l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6972 times 0.2?\nAnswer: 1394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 - 4*a + 29. Give r(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - r = -13475, -5*w + 13150 = 2*r - 330. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.461 - -0.691. Let a = -3.97 - n. Put a, -11, 0.6 in descending order.\nAnswer: 0.6, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*p + 716*p - 369*p = 260 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/2 (b) 5 (c) 1 (d) 0.2 (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 3071264.\nAnswer: 3071264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {v: 2, m: 4, z: 1, t: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 2*n + 2*n, 3*k + 5*n - 31 = 0. Suppose -6*q + k*q = 12, 3*c = 5*q + 30. Solve -4*x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000890102 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/11))**(-17)*m**(-3\/5)*m\/m**(3\/4) assuming m is positive.\nAnswer: m**(-4157\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-10)\/(-12))*-2. Suppose 3*a = -3*x, 2*a + 0*a = -5*x - 12. Let h be (16\/60)\/(a\/(-10)). What is the nearest to h in 2, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -0*l + 4*l + 1178 - 1126, 0*y - l + 22 = y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -17*p**4\/24 + 8*p**3\/3 + 4*p**2. Differentiate y(u) wrt u.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4599 + 4585.644. What is d rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -3*z + 2*j + 456, 3*j = 2*z - 203. What is the least common multiple of z and 7?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a - 12*a - 14*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 25 = 18*o. Suppose -3*u + 201 = d, 5*u - 8 = -o*d + 317. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3697 - -10220. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**2)**(-44)\/((i\/((i*i**(-3\/7))\/i))\/i**9))**9)**(-34) assuming i is positive.\nAnswer: i**(266526\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7310899 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbffbb. What is prob of picking 2 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = n, d - 8 - 3 = -3*n. Suppose 2*t + d*t - 7*t = 0. Is 17 a factor of 153 - t\/(-5 - (2 + -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a + 1f?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110159796?\nAnswer: 2, 3, 17, 19, 97, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -738, 27.\nAnswer: -738, -85, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2195995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24387.626 + 47.374. Let p = z + -24329.47. Let f = p - 106. What is f rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -19) + (0 - (1 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480858 and 7918?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.9275149 to three dps.\nAnswer: 14.928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 2, r: 3, e: 1}. What is prob of sequence jjr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 113 = 129 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*u)**27\/(u*u**(-3\/10)\/u*u**18) assuming u is positive.\nAnswer: u**(3063\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -301323010 (base 5) in base 3?\nAnswer: -2020220001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let a(n) = -1219*n**2 - 230*n + 115. Let y(c) = 42*c**2 + 8*c - 4. Let s(r) = 4*a(r) + 115*y(r). Calculate l(s(z)).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.581 and 53.\nAnswer: 49.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from vnvvvhkvvpvhapnvpv?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109 - -109) + (1 - (0 - -2 - 13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2503 + -39971\/16. Calculate the common denominator of y and -87\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1451 divide 12167327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4382 + 4381. Which is the nearest to -12\/5? (a) k (b) 2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11262241 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*5\/4*3\/5. Let c(r) = -10*r**2 - 3*r. Let h(b) = -9*b**2 - 2*b. Determine x*h(z) - 2*c(z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 7*x - 13. What is k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001997868 to five decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1519? (a) -5 (b) 3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g**2 + 420*g**2 - 31*g**2)*(1 - 1 - 3).\nAnswer: -1131*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5 + (-5 + 3 + 1)*(4 - 5 - 1) + (-3 - 2 + 4)*(-3 - 2 - 1))*(8*q + 32 - 32) to the form r*q + d and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, -1\/5, 2, -5, 7.336 in increasing order.\nAnswer: -5, -1.6, -1\/5, 2, 7.336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y + 3*n + 5, 2*y - 35 = 5*n. Let f = -3 + y. Suppose -2*i - 1 = -3*t + 20, f*i - 21 = -3*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 14 = -2*z - 4*l, 0 = 2*z + 4*l + 8. What are the prime factors of (-465)\/(-6)*z\/5?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -307 from -12.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 6:56 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 8*o**2 - 31. Let q(v) = 4*v**2. Determine q(t(c)).\nAnswer: 1024*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Let j be 5\/(-15) - h\/3. Which is the closest to j? (a) -1\/4 (b) 0.5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*o + 4, -4*m - 5 - 7 = -4*o. Let r(a) = 2*a**3 - 2*a**2 + a - 2. List the prime factors of r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26944659 and 23950808.\nAnswer: 215557272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -618 - -1122. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6c274 (base 15) to base 2.\nAnswer: -11110010010000111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/11 - 1764*b\/11 + 7024\/11 = 0 for b.\nAnswer: 4, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i + 10 = 0. Suppose 7 = i*x - 25. Let r = 29 - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -x + 127. Suppose 0 = -15*d + x*d + 84. Solve 6 = -3*p + d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 2*y + 2*y)*(-1 + 1 - 8) - 2*y + 3*y + 4*y as l + u*y and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - 35 - ((-42 - -18) + -18).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1197)\/36 - -33)\/(26\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 151*s + 71. Let r(c) = 4*c. Determine z(r(a)).\nAnswer: 604*a + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73\/2 + 35. Which is the nearest to -0.1? (a) 0 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 12 - (-3 + 8 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 13*t + 23. Give q(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-4)\/(-10))\/(195\/(-191100)). What is the highest common divisor of m and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 221, -0.056, 5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1903818 divided by -2?\nAnswer: 951909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/30 - 22*h**5\/15 - 70*h**4\/3 - 400*h**3\/3 + 4*h**2 - 35. Factor p(u).\nAnswer: -4*(u + 2)*(u + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1644*l - 5*z = 1649*l - 75, 0 = 2*l + 3*z - 25 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 + -2550\/11. Let k be (-3)\/(-9)*3*5. Suppose -2*r + 15 = r, -4*r + 35 = -k*l. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -227017 or -227012?\nAnswer: -227012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {i: 7, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 27*s**2 + 27*s + 30. Let v be d(28). Let c = -140\/3 - -992\/21. Is v less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-50)*4\/30. Let g(f) = 3*f + 2. Let o be g(6). Let j be (o\/(-80))\/(10\/8 - 1). Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*k)*(-3 - 3 + 5) + 4 - 4 - 2*k + k - k + 2*k + 0 - 2*k + 0 - k + k - 2*k - k + 2*k + 0*k - k + k + k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**6\/120 - g**5\/12 + 5*g**4\/24 - g**3\/6 - 4*g**2. Is 12 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -180 in -1\/5, 2\/9, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20037 + 31?\nAnswer: -20006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 725, 1291, 1859, 2429?\n\"Answer: g**2 + 561*g - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-9 + 5))*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 = 95*a + 667 - 153 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 5*o - 3*o)*(-o**3 + 4*o**3 - 2*o**3) - 2*o**4 - 3*o**4 + 4*o**4 - o**4 - 2*o**4 + 5*o**4 + 2 - 2 + 3*o**4.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 6*f + 16)*(2 - 15*f - 2 + f).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k + 38. Let j be p(-8). What is the second derivative of 790 - j*t + 6*t**3 - 790 wrt t?\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 70 - 32 - 19*q - 31 - 27. Let v be b(-2). Solve -v = 3*w - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**3 + 5*m**2 - 5*m + 12. Let s(a) = 25*a**3 + 11*a**2 - 11*a + 27. Determine 9*l(k) - 4*s(k).\nAnswer: 17*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60964.0462 + -60976.34620053. Let l = -12.3 - z. What is l rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 766\/30 - (-496)\/(-155). Which is bigger: n or 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 3 + 3)*(-77 + 26 - 606*n + 27 + 24) to v*n**2 + i + t*n and give v.\nAnswer: -3030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2718 and 198.\nAnswer: 29898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l**2 + 38*l**2 + 4 - 18*l**2)*(l - 4 + 4) in the form s + r*l**2 + y*l**3 + d*l and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126816 and 0.4?\nAnswer: -50726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*h - 74. Suppose 2*j + 0*y + 5*y - h = 0, 3*y = 15. Suppose -j*m - s - s = -36, 2*s = -5*m + 56. Calculate the lowest common multiple of m and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 950, 1196, 1442, 1688, 1934?\n\"Answer: 246*l + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*u + 3*u + 29 = 0, -5*f + 10 = 5*u. Let i = f + -4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/300 - 13*o**4\/30 + 10*o**3\/3 - 13*o**2 - 7. Suppose m(d) = 0. What is d?\nAnswer: 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 6*u = 154 - 155, 19*t + 3*u - 76 = 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6022383, 6022381, 6022381, 6022383, 6022387, 6022393?\n\"Answer: m**2 - 5*m + 6022387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (62 - 2)*31\/465. Let b = 1 - -46. What is the second derivative of -b*i**d - 20*i - 12*i - 5*i wrt i?\nAnswer: -564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -11017*k**5\/5 + 1047*k**2 + 3*k - 10916. Find the second derivative of l(f) wrt f.\nAnswer: -132204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.5271 - -33.6. Let t = 41.4671 + g. What is t rounded to zero decimal places?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrymyfymmimy. What is prob of picking 1 i, 1 r, and 1 m?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**4\/o*o**(-8)*o*o*o**(-6)*o**(-3\/4) assuming o is positive.\nAnswer: o**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7*k - 2*x - 7440, 2*k - 3*x - 3712 = 0. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 187, 238, 281, 316, 343?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 + 39*p**3 - 46*p**3.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*y = -3, -36*c - 4*y - 4 = -38*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 2*o**2 - 8*o + 4. Let x be n(6). Let d = 4438 - 4342. Let b = x - d. Solve 0*q + b*q - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -238, -224, -196, -148, -74?\n\"Answer: r**3 + r**2 + 4*r - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36415927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 22. Let p = 12 + l. Which is the closest to -0.2? (a) -2 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 42, 21, -30, -117?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/60 + f**4\/24 - 10*f**3\/3 - 11*f**2. Let d = -20 - -43. Calculate the remainder when s(10) is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 40.927.\nAnswer: 409.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.211976 to zero decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/154)\/(6\/(-4))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5 + (-7)\/1 + 6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46613.89 litres in millilitres?\nAnswer: 46613890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 8 + 16)*(-2 + 2 - 7*k)*(-55 + 11 + 153) in the form p + h*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 + 18*o - 4 + 2*o**3 + 1 + 1 + 2*o**3 - o**2. Calculate z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16121436 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 6, -x + 0*k = -4*k + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2173 is divided by 229?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 1243, 4218, 10015, 19576, 33843, 53758, 80263?\nAnswer: 114300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 40 - 11342*f**3 - 58 - 16.\nAnswer: -11342*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 13 + 2 + -7 + 2. Sort t, -3, 28, 5 in descending order.\nAnswer: 28, 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.35 - -0.05. Let z = 0 + m. Let s = 0.1 - z. Which is the nearest to 1\/3? (a) s (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346.8 + -308. Let b = 38.800102 - c. Round b to 6 decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/27*3\/2. Suppose 0 = -i + 3 - y. What is the third derivative of 140*r**5 + r**i + 0*r**2 - 145*r**5 wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -218*j + 2234 + 600. Solve 61 = 3*z - 2*z - j*n, 3*n = -5*z - 35 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*t**3 + 242*g**3 - 9*g**2*t - 1002660*t**4 - 3*t + 1 wrt t.\nAnswer: 12*g**3*t - 12031920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2379 - 5427 = 0. Let r = 51993\/20 + l. What is the common denominator of r and (-129)\/(-84) + (-4)\/14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-81) + ((-34)\/612)\/(1\/94). Put -163, 1, q, -2 in descending order.\nAnswer: 1, -2, q, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**2*p*u**2 + 478*c**2*u**2 + 253*c**2*u - 51*c*p wrt u.\nAnswer: -24*c**2*p + 956*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7128072*g**3 + 2597339*g.\nAnswer: 42768432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*z + 18. Let a be 5 - z\/(-3) - -1. Suppose 113 = -w + 3*w + 3*k, -4*w + a*k = -235. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 4*p**3 - 1 + p - p**2 - p**2 - p**3. Let i be v(1). What is the second derivative of h - 4*h**i - h**2 + 5*h**2 - h**3 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 24\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 2\/25 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = 2*l + 3*q, -15 = 5*q. Suppose 2*r + 44 = -5*c - 50, -2*c = l*r + 44. Let h = c + 22. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 57 = 4*d, 0 = 2*d + 5*j - 0*j - 61. Suppose -4*b = 2*u + 2*u, -4*u - 20 = -b. Is u\/d + (-5321)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 937*t**3 - 1841*t**2 + 9*t - 1. Let h(z) = -2*z**3 - z**2 + 9*z - 1. Let p(q) = -h(q) + k(q). What is the third derivative of p(d) wrt d?\nAnswer: 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001597452483 rounded to 7 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4229 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(3\/10)*l*l)*l*l)\/(l**(-2\/3)\/l)*l\/(l*l**(1\/4))*l\/((l\/(l\/l**(2\/5)))\/l) assuming l is positive.\nAnswer: l**(223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152521229?\nAnswer: 7, 17, 1281691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 120*h**4 - 2301*h**3 + 87882*h**2 + 375060*h + 382200 = 0. What is h?\nAnswer: -26, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252165 is divided by 235?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1341243520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 25*x - 358. Calculate g(-17).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -28. Let n = z - 12. Suppose n*g - 97 = 73. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420560 divided by -420560\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 11. Let i(g) = -g + 2. Let v(s) = -a(s) - 2*i(s). Give v(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -7*c - 8 - 36, -2*d = -376*c + 377*c + 9 - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 516685473 less than -340803?\nAnswer: -517026276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qkqqkqkqqk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w + 240. Let h be 2\/8 - w\/16. Suppose -h*b - 14 = -6. Let i(l) = l**2 + 2. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48662 by 901.\nAnswer: -48662\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 11\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 5, 2\/3, -3\/2, -4, -40?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -621*b**2\/2 + 430*b - 263. What is the derivative of n(a) wrt a?\nAnswer: -621","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 18 = 22, -3*h - z - 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7890972 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 10*z**2 + 7*z + 2. Determine r(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -p - 12, 0 = o + 5*p - 23 - 5. Let z(f) = -f**3 + 7*f**2 + 7*f + 11. Let q be z(o). Solve -25 = -q*r + 4*i, 5*i = 2*r - 3*r - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*z + 4*x - 6, 8 = -4*z + 4*x. Suppose z = 2*y - 0*y - 10. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1225 - -1225.00095. What is s rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/3 - 142\/15. What is the nearest to -2\/3 in g, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1717326 = -d - d. Suppose d = 3*a - 1499337. Round a to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 9*f + 2*w + 6, -2 = -f - 3*w. Put 43, 5, 0, f in decreasing order.\nAnswer: 43, 5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 11828 - 11828 - 4*z**3 + z**2 + 2*z**2.\nAnswer: -4*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215799.\nAnswer: 3, 71933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000092252607 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -1\/8, 0.2, -5, 23380?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/232*32\/14)\/((-5)\/(560\/(-4))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 29*r = -17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/12 + 6*i**2. Let y(o) = 26*o. Let w(j) = 9*j. Suppose -2 = 5*q + 18. Let v(l) = q*y(l) + 11*w(l). Give v(m(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3231 by 49.\nAnswer: -3231\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 170, 198, 226, 254?\n\"Answer: 28*c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 305 + -304. Solve 2*r - 7*m = -5*m - 6, -m = -2*r - v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 60. Let h = 45 - 1. Calculate the remainder when h is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*n = 276*n - 262*n + 2691 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 - 2) - (-9 + 9 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -120. Calculate the lowest common multiple of o and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {t: 1, n: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 + 9 = 0. Suppose n + 6 = -f*c - 16, -5*n - 10 = 5*c. Suppose 0*z = -3*z. Solve -3*m + n = -z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 38 - 2. Suppose 2*c = -2*d + 10, 2*c - d = g + 7. Let l(j) = j**2 - 9*j + 18. Calculate the lowest common multiple of l(8) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -94. Suppose d = -3*o - s - 4*s, 5 = -5*o + 3*s. Let i = -5 - o. Is -2 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 + 108 = 0. Let v be (((-33)\/y)\/((-1)\/(-2)))\/1. Suppose -5*g = -2*x - 27, -g + v = -2. What is the closest to 2 in -5, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26309.\nAnswer: 26309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 3, -5, 468\/19, 93 in decreasing order.\nAnswer: 93, 468\/19, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1813 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12789\/2852 + -87\/124. Let d = o - 2029\/506. Calculate the common denominator of d and -47\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*r + 4 = 0, 0 = 5*n - 2*r - 4 - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedseesssdsssolssess. Give prob of picking 1 e and 1 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/891 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -2\/17, -6, -575 in increasing order.\nAnswer: -575, -7, -6, -2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -111. Calculate the remainder when 166 is divided by 2\/u - 13\/((-2145)\/2332).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 minutes after 8:37 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 11:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8 and 31\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*c*i*v**2 - 14*c*i - 68*c*v**2 + 1691350*c + 5297*i*v**2 with respect to v.\nAnswer: 30*c*i*v - 136*c*v + 10594*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15863 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 4421076\nAnswer: 486318.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 5984?\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*y + 43245 - 43243 + 3*y**3 + 1492*y to k + f*y**2 + g*y + j*y**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1060 + 101*v - 1060 in the form k*v + t and give k.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olil when four letters picked without replacement from {l: 3, i: 2, o: 6, a: 3, f: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dfbd - 5?\nAnswer: dfb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = 0, 93*v - 2*s + 15 = 88*v. What is the closest to 2 in 2\/15, -0.1, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let m = 0.4 + -5.4. Let x = m + n. Which is the second smallest value? (a) -1\/3 (b) x (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*q - 7 = -246*q - c + 86, -3*c - 9 = 0 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*w + 26, 18*q - 17*q + 5*w = 5. Calculate the remainder when 27 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + 0. Let v = -7.5 + o. Let w = v + 10.00014. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -687, -1379, -2071, -2763, -3455, -4147?\n\"Answer: -692*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - c27b20?\nAnswer: -c27b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(180) - sqrt(180))*-4)**2 + -5.\nAnswer: 832315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdmgpdpdsgpmgddp. What is prob of sequence msdp?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355562 is divided by 88886?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + 6 + 2 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**4 + 4*v**4 - 5*v**2 + v**6 - 10*v**4 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdci when four letters picked without replacement from idcdxcdcqxiidxdxcqx?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-6))\/(-9)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -37 - 3*h - 2*h**2 + 32 + 27*h**2. What is the units digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2 - 12. Let x be q(0). Let l be 2*4*(-6)\/x. Solve 0 = -4*y - 20, y + 4*y = -l*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 3. Let p be y(-4). Let k = -5 - -1. What is the third smallest value in p, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17214 + 17214. Is k > -3\/2222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.86275 milliseconds in nanoseconds?\nAnswer: 99862750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -51\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -142?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 156 times 316\nAnswer: 49296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 11 = -4. Let p be 66\/(-14) + 4\/(12\/15). Which is the nearest to -9? (a) w (b) 3\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4770508.76 - 4770506.19561733. Let i = -1.36138898 + f. Let t = -1.203 + i. Round t to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/24*8\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 539 + -532. Let q(f) = f**2 - 7*f + 8. Let n be q(u). What is the highest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/(27\/(-63)) - -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -2)*-1*43. Suppose -178 + f = -3*n. What is the remainder when n is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/42)\/((-1)\/(-7)). Suppose 2*r - 10 = r + 2*w, -5*r = -w - 50. Let v = r - 7. What is the highest common divisor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.3397783 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-1 + -19). Let a be ((-9)\/(-15) - 4\/f)*2. Suppose i = -5*n + 65, 281 + 1 = 4*i - a*n. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 * 979003\nAnswer: 66572204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000108693 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*o = -220*o + 836 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129\/2 + 261\/4. What is the biggest value in 2\/11, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -527, -1\/9, -4 in descending order.\nAnswer: 5, -1\/9, -4, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 865.8428 + -866. Let v = -0.17 - z. Round v to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 4970*v + 1235045.\nAnswer: 5*(v + 497)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -19 (c) 0.7 (d) 2\/9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/14800 and 57\/118400?\nAnswer: 118400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 281596.597 rounded to the nearest ten?\nAnswer: 281600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -92566 - -3?\nAnswer: -92563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 734353933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698*g + 3395*g - 1697*g - 3*g**2 + 19*g**2.\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1350 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -14*c - 49 - 111. Let s(j) be the third derivative of j**5\/60 + j**4\/3 + j**3\/3 + 4*j**2. Calculate s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6579 + -6581. What is the closest to -9 in -3\/4, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -140. Suppose -3*j - j = -4*q + o, q - 5*j = 34. Let v = 65 - q. Calculate the greatest common divisor of v and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 4, t: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 10, -7, -26, -47?\n\"Answer: -q**2 - 12*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 62.25345kg?\nAnswer: 0.06225345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 34e?\nAnswer: -35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4095057, 4095058, 4095059, 4095060?\nAnswer: 4095061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -123. Suppose -u*v = 5*v - 1296. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 1, n: 1, t: 3, l: 3}. Give prob of sequence tn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3.1, -8.\nAnswer: -8, 3.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -11110001111111?\nAnswer: 11110010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2, -28.2, -2\/5?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:21 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 - -4349\/25. Let n = 0.02 - 1.02. What is the third smallest value in 3, y, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/(18\/81). Find the second derivative of -2*l - 2*l**m + 8*l**2 - 8*l**2 + 3*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4 + 2. Differentiate 1 - 9 + 1 - 3 - t*k with respect to k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 11 (c) 0.4 (d) 4\/5 (e) -0.5 (f) -1 (g) 1.624\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - 18651954618.\nAnswer: -18651954618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/32*11368\/609)\/((-2)\/14)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 7 - 7. Let l(v) be the first derivative of 6 + 0*v + 1\/2*v**2. What is s(l(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -5*h**2\/2 + 32*h - 3264. Let c(m) = -m + 1. Determine 4*c(f) - g(f).\nAnswer: f - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 161*o**2 + o. Let j(u) = -157*u**2 - u. Give 2*c(r) + 3*j(r).\nAnswer: -149*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1766 - 1718. Solve -140 = 13*w - x*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -16. What are the prime factors of ((-4)\/(-2) - -22) + b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/10*124\/(-217). Which is the nearest to -5? (a) 3 (b) 0.1 (c) k (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 863*l - 52. Let f be s(-6). Are -5230 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 2. Suppose 0 = -2*f + 10 - 4. Let p(j) = j**2 + 1 + 29*j - 29*j - j**f. What is n(k) - 2*p(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2639799, -2639797, -2639797, -2639799, -2639803, -2639809, -2639817?\nAnswer: -2639827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6565 and 519220?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*u + 3*l - 2039, -1021 = -u - 2*l. Let d = 235 + u. Let x be (d\/3)\/((-1)\/(-4560)). Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + u**2 - u - 4. Let y be h(0). Put 5, 3, y in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, -144.96, 0.4, -2, 0.5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 7840*y**3 + 3902*y**3 + 3903*y**3.\nAnswer: -35*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 92*z**3 + 16468*z**2 - 100*z - 17905. Give m(-179).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18133.356 months to centuries.\nAnswer: 15.11113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124801481 is divided by 1807?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2. Let y(a) be the second derivative of -9*a**3\/2 + 149*a. What is b(y(k))?\nAnswer: -5103*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 38 = -f + 4*p, 0 = -3*f - 2*p - 20. Put -2, 4, f, 14, 5 in increasing order.\nAnswer: f, -2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 890367693.4989+-0.7\nAnswer: 890367692.7989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11020259 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 0, -31*h = -2*p - 32*h + 5601. Is 50 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 736 = 384. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 62 - 13. Let q(j) = j**2 - 10*j - 5. What are the prime factors of q(f)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -0.01 (b) -4\/11 (c) 38 (d) -0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 214326.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 25 = -3*r + 37, -4*r = -k - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 11*x - 24.\nAnswer: -(x + 3)*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/15)\/((-5724)\/243 + 24). Factor s*q**4 - 2\/5*q**5 + 0 + 0*q + 2\/5*q**2 - 6\/5*q**3.\nAnswer: -2*q**2*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 339, 925, 1461, 1953, 2407, 2829, 3225, 3601?\n\"Answer: o**3 - 31*o**2 + 672*o - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**4 + 23*v**4 + 83 - 125 with respect to v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -219? (a) -1 (b) 3 (c) 0.2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419b5 (base 14) in base 11?\nAnswer: a8a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 238?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005178636 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*p = 83 - 1219 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 29. Suppose 0*v + v = b. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*j**3 - 858*j**2 + 5187*j - 1110 = 0. What is j?\nAnswer: -37, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3 - 1) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41880a9 (base 12) to base 6\nAnswer: -1121104333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004434163 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -358611 (base 9) to base 14.\nAnswer: -58b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:27 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*q**6 - 25*q**4*w**3 - 2*q**4 - 9*q**2*w + 90*w**3 wrt q.\nAnswer: -1680*q**3 - 600*q*w**3 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*x = -66*x + 60 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.549 and 23986.\nAnswer: 181070.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 6.9 (c) -0.04821 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 685*l**4 - 5270 + 5270 + (-5 - 1 + 5)*(2*l**4 - 2*l**4 + l**4) + 3 - 3 - 2*l**2 - l**4 as u*l**4 + c + i*l**3 + o*l**2 + g*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30201, -122662, -276769, -492528, -769945?\nAnswer: -1109026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427515.9km to micrometers.\nAnswer: 427515900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1904916 + 7 + (17 - 8). Round l to the nearest 10000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(18))**2 + (sqrt(54)\/(sqrt(3) - (sqrt(3) + (sqrt(3) - sqrt(3)*-1)) - sqrt(3)) - sqrt(18)).\nAnswer: -10*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 17*g + 2035. List the prime factors of g.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*k**3 - 853963*k**2 - 93944962*k?\nAnswer: 180*k - 1707926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 20. Let g(m) = -m**2 - 8*m - 9. Let i be g(-6). Give h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*(45\/3)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -371? (a) -1\/8 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4969981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 286496835 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.067 - -0.033. Let b = 0.051 - x. What is b rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, g: 2}. Give prob of sequence qq.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 56*f + 15. Let j(t) = 223*t + 67. Calculate -4*j(r) + 18*l(r).\nAnswer: 116*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.71 + 13.7. Let h = x + -2.4. Round h to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 38*b**3 - 529*b**2 + 454*b + 10. What is w(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1))**(-1\/15)*i**(4\/9)*i*i**(-1))**(3\/16) assuming i is positive.\nAnswer: i**(11\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 2. Let o be x(8). Let i be 38\/o - 4\/(-6). What is the third derivative of -i*v**3 - 3*v**3 + 4*v**2 + 0*v**3 wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(8*(-1)\/(-6)). Let k(u) = s*u + 6*u**2 - 3 - 3*u - 5*u**2 - 3*u. What is k(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 4271142?\nAnswer: -4271153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 2*p**3 + 0*p**3 + 0 + 2*p**3 + 0 + (-1 + 1 - p**3)*(0 - 2 + 1))*(-89 + 40 + 43).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2bc - -120?\nAnswer: d3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let r(m) = -6*m**2 + 6*m + 6. Calculate r(s) + 6*z(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*p - 221*p + 232*p.\nAnswer: -275*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/23)\/o*o)\/(o\/o**(2\/13)))**(6\/23)*((o**(-6)*o)\/o**(1\/7))\/(o**(-3\/5)*o\/o**(-1)) assuming o is positive.\nAnswer: o**(-1622503\/240695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/672 and -119\/1160.\nAnswer: 97440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8\/153, 5, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -554, -1123, -1920, -2945?\nAnswer: -4198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 4*s**2 + 0*s**2 - 2*s**2 + 3*s**2 + 0*s**2 + (2*s + 2*s - s)*(s + 0 + 0) in the form j*s**2 + y*s + f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36257 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f**5\/25 + 9*f**4\/10 - 28*f**3\/15 + 297. Factor s(y).\nAnswer: -2*y**2*(y - 7)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/7 - 386*h**4\/7 + 2688*h**3 - 18432*h**2\/7.\nAnswer: 2*h**2*(h - 96)**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22766 - 15222. Suppose r = 5*n + h, -2*n - 5*h + 1486 + 1527 = 0. List the prime factors of n.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*j - 12 - 12 = 0, 3*j + 8 = 4*q. Let u be (-72)\/15 + q\/5. Let k(n) = 13*n + 2. Let s be k(u). What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v. Suppose 25 = -3*b - 2*b. Let o(k) = 9*k**2 - 2*k. Let c(a) = a**2 - 527*a - 1589. Let r be c(-3). Calculate b*p(g) + r*o(g).\nAnswer: 4*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23581978 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 764, 1145, 1526, 1907?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 4*f + 5. Does 29 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58124820 divided by 9687470\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsnsxssxesxxxxensx. What is prob of sequence esx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - i - 4 + 4 as k*i + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -516. Calculate the remainder when x is divided by (14 - (-304)\/(-6))\/(5\/(-6)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 857, 1731, 2617, 3521, 4449?\n\"Answer: x**3 + 867*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hml when three letters picked without replacement from zfffmzmfffzfmmlhhm?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/63)\/(6\/(-18)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:47 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, s: 2, w: 1, v: 1}. What is prob of sequence ss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -81. Let m = 94 - p. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/17 + 22*w**2\/17 + 378*w\/17 + 882\/17.\nAnswer: -2*(w - 21)*(w + 3)*(w + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 453\/4 + 459\/4*h**2 - 909\/4*h - 3\/4*h**3.\nAnswer: -3*(h - 151)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -15235.\nAnswer: -23\/15235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9665 divided by 6879.\nAnswer: -9665\/6879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 + -6 + 0\/3. Suppose 3*y + 14 = -8*j + d*j, -5*y = 3*j + 30. Let h = -6 - -22\/5. What is the fourth smallest value in h, j, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + j + 1. Let k(y) = -65*y**2 - 2*y - 4. Let a(b) = k(b) + 2*p(b). Let v(r) = r**2. Give a(v(f)).\nAnswer: -63*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.21298 from -33034.\nAnswer: -33034.21298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40596.\nAnswer: 2, 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 4\/((-24)\/(-54)))*40\/330?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2089 - 3178?\nAnswer: -3177.7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 o, and 1 j when four letters picked without replacement from {q: 4, c: 2, j: 1, o: 5, t: 2, r: 1}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 29 + 630 + (3 - 3 + 2)*(-2 - 4 + 4))*(t**2 - 4*t**2 + 5*t**2)*(-3*t**2 + 3*t**2 + 2*t**2).\nAnswer: 2052*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 4. Let q be h(8). Suppose 5*s - 4 = 6, -2*k + 5*s = -q. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-42) - (1 - -16 - 200\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -41.6646, -4, -184?\nAnswer: -41.6646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 21 = 5*a, 6*a - 4*a = -2*g. Solve p + d = 0, 5*p - g*d = 32 - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10393 - -10416. Solve 0 = -7*r + 4*d + 20, 0 = 5*r - 5*d - 2 - a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12226, 24703, 37180, 49657, 62134, 74611?\nAnswer: 87088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87971)\/(-62712) + (36\/(-32))\/1.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x**2 + 9*x - 23. Let y be q(2). Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/98, 57, -1 in decreasing order.\nAnswer: 57, -1\/98, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 + 35*p**3\/3 + 5*p**2. Let v be z(0). Suppose 0*m + 3*m = 30. Calculate the highest common divisor of m and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 11*p - 15. Let m(a) be the third derivative of -a**5\/60 - a**4\/4 + 4*a**3\/3 + 2*a**2. Let f = 314427 + -314416. Calculate f*m(l) + 6*g(l).\nAnswer: -5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by 7.\nAnswer: 230\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 9:58 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 90*r + 8. Let a be j(2). Let k = -594 + a. Let q = -11 - k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 5 + 5 - 13*a**2 to x*a + t*a**2 + v and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 + -6.2. Let f = 52.8 + r. Let s = f - 57. Is -3 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d + 2. Let h be k(2). Let z = 11 - h. Let a = z - -13. What is the remainder when 14 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 374 = 38. Is p a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7643*n + 15277*n = 7650*n - 560 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81\/170 - 2\/85. Sort 3, u, -4, 1 in decreasing order.\nAnswer: 3, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2835896 = -m. Suppose 9617948 = 2*j + m. What is j rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((-4 - -1) + -5)) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjjoyouvoooovojoo. Give prob of sequence vyjo.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 1 - 1 + (-20*x - x + 2*x)*(-x + 0*x + 3*x) as s + o*x**2 + z*x and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let f = -157 - -1097\/7. Suppose 0 = t - 0 - 3. Which is the closest to f? (a) v (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423 and 44133?\nAnswer: 132399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (-79)\/(3634\/920)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 8560*o - 42925 = 0 for o.\nAnswer: -1717, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-27) + 2\/(-12))*0. Suppose n*c + 2*c - 6988 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(70) - (sqrt(70) - 5*sqrt(70)))*1 + sqrt(70))*5)\/((sqrt(80)*6*-6)\/sqrt(8))*-5)**2.\nAnswer: 17500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 - 22*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 430, 674, 756, 688, 482?\n\"Answer: 2*w**3 - 93*w**2 + 509*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 354*w - 704.\nAnswer: -(w + 2)*(w + 352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -238*t**2 - 2*t - 5. Let r(i) = -79*i**2 - i - 1. Let h(o) = 2*d(o) - 7*r(o). Find the second derivative of h(a) wrt a.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6*o + 4*o. Solve -p - 2 = -o*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11666 - -856. What are the prime factors of r?\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 17*x**8\/28 - x**7\/42 + 47*x**4\/12 - 46*x. What is the third derivative of q(t) wrt t?\nAnswer: 4080*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2. Let f(v) = 48*v**2 - 1038. Determine f(q(a)).\nAnswer: 192*a**4 - 1038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g**(-2\/9))**(6\/11)*(g**(1\/5)*g*g*g**(-3\/2))\/(g\/((g*g*g**(-5))\/g)*g\/g**(-4)) assuming g is positive.\nAnswer: g**(-21403\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 - 3*j - 6. Suppose 2*v - 18 = -5*d, 0*d + 5*d = 10. Suppose -2*m = -5*k - 40, -v*k + 3*m - 4 = 7*m. Is 12 a factor of c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 89368160*r + 499166751361600.\nAnswer: 4*(r + 11171020)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 353 + -71 + -113 - 38.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 7*u + 32. What is q(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 5, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 8) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98957 is divided by 144?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253 + 439. Let w = v - 180. Solve -12 = -4*c - 5*s, 5*c - 9 = 4*s + w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/6)*f**(2\/17)*(f*f**0*f)**40 assuming f is positive.\nAnswer: f**(8189\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*z + 8607 - 39624 = 0 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1818 - 18159\/10. Let o = 13\/5 - n. Which is the third biggest value? (a) o (b) 0 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 103?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 0, 2 in increasing order.\nAnswer: -9, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:24 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) - (-5 + (-1 + sqrt(7))**2)) + 0 + sqrt(14)\/sqrt(2) + 3*(((sqrt(7)*2 - sqrt(7))*-5 - 1*sqrt(7)*-4) + -4)**2.\nAnswer: 69 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18322417 to the power of 1\/2, to the nearest integer?\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 207 (c) -0.2 (d) -174 (e) 1 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w - 2. Suppose 3*n = -10 + 13. Let i(q) = -q. What is n*p(f) - 10*i(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33c5 + -1?\nAnswer: -33c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -42, -39, -18, 27?\n\"Answer: n**3 - 16*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:35 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**0*t)*t*(t**(-5\/3)*t)\/t*t*t*t**(1\/9)*t*t\/(t\/(((t**(-2\/9)*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 1. Let n(y) be the third derivative of 3\/8*y**4 + 0 + 0*y - 3*y**2 + 1\/60*y**5 + 2*y**3. Let z be n(-8). Determine c(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11354, 5, -0.04, 6\/5, 0.5 in ascending order.\nAnswer: -0.04, 0.5, 6\/5, 5, 11354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 less than 801488063861?\nAnswer: 801488063860.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2305791227 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Suppose 2*x + 4*n - 12 = 0, r*n = 4*x - 0*n - 4. What is the first derivative of x + 4 + 5*h - 3 wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -3*v + 41475. Let t = -3218 - v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 6 + 6)*(-4 + 1 + 1)*((3 - 3 - 1)*(-1 + 1 + 2) - 4 + 1 - 3).\nAnswer: 80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iizziiziriiixi. What is prob of picking 1 i and 2 z?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -d, -5*d + 26 - 18 = -s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxcc. What is prob of sequence xx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24323 - 111212?\nAnswer: -141040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 397*q**5\/5 + 7*q**3\/3 + 43*q**2\/2 - 937. Find the third derivative of r(g) wrt g.\nAnswer: 9528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from vjuvvvj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.03 + 5.7. Let n = 0.3354 + f. Round n to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 54, 69, 82, 93, 102, 109?\n\"Answer: -g**2 + 20*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -31390, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, -31390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 0)*(-2 - 1 + 1)*(6*w - 2*w + 2*w)*(-65 + 63 - 39).\nAnswer: 2952*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 34*q - 28. Let x be j(-33). Let g(u) = 18*u**3 - 5*u**2 + 5. Let r(b) = 63*b**3 - 18*b**2 + 18. Calculate x*r(p) - 18*g(p).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m - 118. Let k be w(-16). Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.77972 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 379799.6335 and -3?\nAnswer: 379802.6335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*n - j, -2*n - 2*j + 14 = 3*n. Let x = 6 + -3. Let l be x\/(-9) + (-13)\/(-3). Solve l*d + n = 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dippvvpvcppiivdvv. What is prob of picking 1 c and 1 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*c - 4, -2*c + 16 = 5*t - c. What is the second derivative of 12*b + 2*b**3 - b**3 - t*b wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(0*q - q + 3*q)*(6 + 15*q**2 - 220*q**2 - 4).\nAnswer: 410*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -5 + (-6*sqrt(19)*2)**2)*3.\nAnswer: 12*sqrt(19) + 8193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603 and 6204267.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10286 is divided by 141.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/27)*l*l*l**(-9) assuming l is positive.\nAnswer: l**(-190\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/64 of a millimeter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 12096 = -25*b + 17*b. Calculate the lowest common multiple of b and 14.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (-32 + 5 - 33).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 4*p**4 + p**4 + 2*p - 2*p - 2*p**4 + (-8 - 33 - 34)*(22*p**4 - 16*p**4 + 27*p**4).\nAnswer: -2475*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -2)**2 + -4.\nAnswer: -40*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/2 - 30*b**4 + 594*b**3 - 3872*b**2.\nAnswer: b**2*(b - 22)**2*(b - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/324427, -1, -0.4 in decreasing order.\nAnswer: 20\/324427, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 1)*(2 - 2 - 2*b)*(-4 + 2 + 3).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*n**5 + 2*n**4 - 4*n**2 - 3*n - 546 wrt n?\nAnswer: -880*n**3 + 24*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30422 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 16*v**6\/15 + 7*v**4\/6 - 4*v. Find the third derivative of s(x) wrt x.\nAnswer: 768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 + 2*j. Let h(m) = -250*m**3 + 3*m**2 - 4*m + 1901. Let v(n) = -2*c(n) - h(n). Differentiate v(o) wrt o.\nAnswer: 744*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1)\/((-4)\/16). Let d(y) = -1 - q*y - 4 - 1 + y. Let u(c) = -2*c - 7. Let i(m) = -3*d(m) + 4*u(m). Calculate i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 1 + 5. Let s(o) = 19*o + 7*o**2 - 90*o + 17*o + 23*o + 19*o**3 + 24*o. Let v(y) = 6*y**3 + 2*y**2 - 2*y. Give c*s(p) - 7*v(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/17880454?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 + l + 1. Let h be ((-3402)\/28)\/(6\/(-56)). Suppose -8*u - h + 1094 = 0. Give c(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 17a706?\nAnswer: -17a70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 340*n + 312*n + 402*n to the form z + a*n and give a.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 0*a**5 - 8*a**5 + (-a**2 + 0*a + 0*a)*(-2*a**3 - 3*a**3 + 7*a**3)*(-5 - 1 + 0).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 13*s**2 - 3*s**2 to h*s**2 + d*s + z and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 - 17*z**2. Let k(h) = -7*h**2. Calculate x(k(q)).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*d + 80 + 25 = 0, -t + 21 = -4*d. Let q = 1708 - 1676. Calculate the remainder when q is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, o: 9}. What is prob of sequence ioii?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:25 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -20*r**5 - 181476*r**4 - 413638008*r**3 - 8911549168*r**2 + 44738532384*r = 0.\nAnswer: -4526, -26, 0, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100100100000000111 (base 2) to base 16.\nAnswer: 1a4807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/5676?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/432 and 53\/20720?\nAnswer: 559440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1298.3 - 1305.3. What is the closest to w in 0.5, 2\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -126. Let m = 61.96 + -61. Let y = m + 0.04. Which is the closest to 0? (a) 3 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-2\/81)*w*(w\/(w\/((w**(5\/4)*w)\/w)*w))\/w*w**(1\/12) assuming w is positive.\nAnswer: w**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.1, 0.2, 47, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 374*g - 393*g**3 - 5*g**2 - 886 + 889.\nAnswer: -393*g**3 + 374*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 4:26 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s\/(s\/s**(1\/5)))*s*s**(7\/5)*s*(s*s**8)\/((s\/(s\/(s\/(s**7*s))*s*s)*s)\/s) assuming s is positive.\nAnswer: s**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in -143, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -232154976958 less than 0.3?\nAnswer: 232154976958.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -511645 + 5?\nAnswer: -511640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2 - 3 - 1)*(-p + 0*p - p + (0 + 2 + 0)*(2*p + 0*p - p) + p + 3*p - 2*p + 4*p + 0*p - 2*p)*(-4*p - 3*p + 4*p).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 9. Let x be (-152)\/(-18) + (-144)\/324. Let u be x\/((2\/(-3))\/(28\/42)). Determine h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - sqrt(153)*-1*-6)*-1)\/(4*sqrt(36)*-5))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 18 - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/(g**(5\/2)*g))\/g))\/g)**(11\/9))**(2\/7) assuming g is positive.\nAnswer: g**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*1 + sqrt(120))\/((sqrt(10) + sqrt(810))*2).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1205464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66*-14.82\nAnswer: -978.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -686308 and 0.5?\nAnswer: 686308.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)\/(1\/6*-2). Let g be ((-26)\/4)\/((-20)\/(-8) + r). Is g equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4473, 8949, 13427, 17907, 22389?\n\"Answer: o**2 + 4473*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = -16. Let h = d + 3. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 98 + 451*w**3.\nAnswer: 451*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11523 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 76\/16)*(11 - 2 - 8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -33 + -19 + 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21155 and 24467873.\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -752?\nAnswer: -9\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3567256.\nAnswer: 2, 7, 11, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 - 302.59. Let g = -2.1 + b. Let x = -0.89 - g. Does x = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 134, 369, 770, 1379, 2238, 3389, 4874?\nAnswer: 6735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -35*m - 249. Give g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 22 + 8 = 0. Let f(o) = o**2 + 6*o + 6. Give f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 200.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**4 - v**3 - v**2 + v. Let d(m) = -34*m**6 + 3*m**4 - 3*m**3 - 21*m**2 + 3*m. Let g(k) = d(k) - 3*y(k). What is the third derivative of g(j) wrt j?\nAnswer: -4080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 3. Suppose 3*r + 63 = -5*q + 11, c*q + 34 = -2*r. Let l = -8 - r. Calculate the least common multiple of 11 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 5:03 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 35, -124, -347, -634?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3078 - 4793. Let c(l) = l**2 - 5*l - 6. Let d be c(5). Is d\/(-9) + n\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**3 - 2*c + 1. Let g be p(1). Let w = 17 + g. Calculate the common denominator of 8\/12 + (-158)\/w and 29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1372456?\nAnswer: -1372462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzzzzzz. What is prob of sequence zz?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w**2 - 72*w - 12. Let j(r) = -6*r**2 + 24*r + 4. Let i(g) = -4*f(g) - 11*j(g). What is the hundreds digit of i(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06476 and 50.741333649.\nAnswer: 50.806093649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-69)\/(-5) + (-3)\/(-15) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 26*s + 8. Let n be a(13). Let g = -81 - n. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjjqjqjqjjj. Give prob of sequence jqqj.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 + 8*w + 3. Let y be v(8). Suppose -y*a - 55 = -5*u, 0 = -3*u - u + a + 37. Are 8 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 + (-80 - (-66 + -113))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.9801 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.9 + 25. Let x = 1 - i. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.9977801 rounded to 1 decimal place?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 5. Let b = t - -9.7. Let n = b - -2.3021. Round n to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 780, 975, 636, -243, -1668, -3645, -6180?\n\"Answer: -g**3 - 261*g**2 + 985*g + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((22*9\/(-40986))\/(2\/(-9)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3475922 is divided by 8625.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2703*-905\nAnswer: 244.6215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 32808?\nAnswer: 32808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 356905447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 + (2 - -3). Suppose -g*k + 12 = -28. What is the greatest common factor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 193*((-7)\/((-98)\/36))\/(27\/2394)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29430209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -65.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 35)\/(((-3)\/1)\/12). Suppose 0 = -q + n + 231. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613926998?\nAnswer: 2, 306963499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1488, 1487, 1486, 1485?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11826772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 + 281*s**2 + 249*s + 376. Calculate w(-46).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.48, 0.5.\nAnswer: -1.48, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15466 divided by -19?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/114 and -44\/2337.\nAnswer: 4674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*l - 76, 69*g - 185*g + 516 = 4*l - 97*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 9*f + 5148. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12078 minus -0.531?\nAnswer: -12077.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17336585*f**2*r - 14*f**2 - 17*f*r - 6*f - 559670 wrt r?\nAnswer: 17336585*f**2 - 17*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -260, -6, 2, -5, -288?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26524, -26525, -26526, -26527, -26528, -26529?\n\"Answer: -b - 26523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-4*(-16)\/(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.15, 1, -2.\nAnswer: -7.15, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 105598 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -89410 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 8*s + 4. Let x be w(7). Let n be (-1)\/(-4)*x\/(-6). Is 0 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -98.1. Which is smaller: w or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c**2 + 3*c - 4. Let m be g(0). Does 33 divide 121 + (-12)\/(m + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 394, 689, 984, 1279?\n\"Answer: 295*s + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 54*k - 9258235 + 1668285. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 + 4)*(-60*y**3 - 4338*y**3 + 571*y**2 + 567*y**2 - 1138*y**2).\nAnswer: 39582*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/10)*s**(7\/2)*s)**(-1\/43) assuming s is positive.\nAnswer: s**(-23\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*(-6 + (-35)\/(-4) + -4). Suppose 0 = -5*x - p + 145. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123892 by 659.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46060 * 32.\nAnswer: 1473920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 147*n**2 - 50*n**2 - 52*n**2 - 47*n**2. Let f(y) = -75*y - 11. Give a(f(g)).\nAnswer: -11250*g**2 - 3300*g - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + 45 + 18 - 12) + 19?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1315, -1437, -1857, -2725, -4191?\nAnswer: -6405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.26. Let k = -3 + 5. Let i = -0.8 - -1.2. Which is the second biggest value? (a) h (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4401481 is divided by 4401452.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6466101 micrometers in kilometers?\nAnswer: 0.0000000006466101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 2*a - 3*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*d = -4*z, -5*z - 22 = 2*d for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - 292*c - 502. Let y be w(-58). Is y < -3750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssssskkkasss. Give prob of sequence kk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l + 1. Let r(g) = -7*g**2 + 8*g - 8. Let c(m) = 3*r(m) + 24*w(m). Let q(y) = -6*y. Calculate q(c(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 221. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 1) + (-3 - (-19 + 12 + 9))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 262\/13 - 84\/546. Let s(l) = l - 4. Let t be s(8). Suppose t = -3*g + g, 0 = -5*c - 5*g + 95. Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -8 + 2*c**3 + 0*c - 1\/4*c**4 + 5*c**2. Is 24 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -135253233, -270506458, -405759683?\n\"Answer: -135253225*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -774 + 784. Let c = o + -5. Let t = -2 - 1. What is the closest to -2.9 in 2, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48146903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-40)*4*1. Let c = 3.4 - -1.6. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1992*w + 701 + 692 - 2355*w + 5827*w + 10141*w with respect to w.\nAnswer: 11621","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + 1 + 7 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/20 - f**3\/15 + f**2\/5 - 3328. Let q(z) = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 - 165. Let z be (-22)\/33 + 3*f\/18. Solve -2*k = -z*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + g - g + 150 - 60*g**2.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a**2. Let c(n) = -n**2 - 1. What is c(w(z))?\nAnswer: -100*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(3\/297*11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5406736?\nAnswer: 2, 37, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 2*i**2 + 2*i - 2. Let x be k(2). Suppose 0*j = x*j - 26. Calculate the remainder when 38 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11107\/24 >= -464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073554243 to four decimal places.\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -184\/3 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q**2 + 20*q - 1. Let s(x) = 3*x**2 + 4*x. Let r(g) = -j(g) + 5*s(g). Determine r(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 7) to base 9.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 26*w + 161. Let m(x) = -20*x**2. What is v(m(f))?\nAnswer: 800*f**4 - 520*f**2 + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.59 + -14.03. Let k = 1.16 - q. Let h = 15 - k. Which is the closest to 1? (a) -3 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8647 + 8)\/(10 - 7) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1940 and 2716.\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.3, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/6 + 2*m**2 - 12*m - 5. What is n(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 764954 = -764384 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 61 = u + 11 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 100\/41?\nAnswer: 100\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2. Let o(s) = -4*s. Let j(i) = 4*i. Suppose g = -2*y - 15, y - 9 = 4*g + 6. Let l(f) = y*j(f) - 4*o(f). Determine n(l(m)).\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 22*p**2 + 25*p - 31. Let h be z(-21). Let r = -68 - h. Calculate the highest common divisor of r and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 - 1. Let z(q) = 8*q**2 - 4*q + 2. Let j(w) = 9*w**2 - 5*w + 2. Let s(o) = 4*j(o) - 5*z(o). Give -2*s(g) + 3*t(g).\nAnswer: -4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/4)\/q)\/q)**15*(q**(1\/2)*q)\/q*q**(1\/9)*q assuming q is positive.\nAnswer: q**(-617\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.281 + -0.081. What is the third biggest value in 2\/7, g, 14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3 + 14230*f**2 + 3837805*f - 3852030 = 0?\nAnswer: -249, 1, 3094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 252 = 31*i. Calculate the greatest common factor of 96 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.2657 * -2.1.\nAnswer: 63.55797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-1\/5))))\/q*q**(-2\/33)*((q*q\/(q*q\/(q\/(q**(-2\/9)\/q))))\/q)\/q**(-4\/5) assuming q is positive.\nAnswer: q**(872\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/11 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:41 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 20*n - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-94)\/(-282))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 7*s - 4*s)*(2*s - 5*s + s) - 8*s**2 - 47 + 47 in the form z + k*s**2 + a*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 78 = -12. Calculate the smallest common multiple of 9 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1088*h**4*r**2 - 740*r**2 wrt h?\nAnswer: 4352*h**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 + 729*t**4 - 3*t**3 + 32*t**2 + 243*t?\nAnswer: 120*t**2 + 17496*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1051*y - 654*y - 540*y)*(-2*y + 2*y + 2*y) to the form j + o*y + i*y**2 and give i.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n**2 + 3*n)*(0*n**2 - 3*n**2 + 5*n**2) + (2*n**2 - 3*n + 3*n)*(n - n + n**2).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.7 + -54. Round a to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7197 + -0.72. Round o to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1509951*n**3 - 343589*n + 1 wrt n.\nAnswer: -9059706*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -6112 + 6100 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:21 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 271844760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*11\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2. Let u(j) be the third derivative of j**6\/120 + j**5\/10 - 18*j**2. Let z be (-9)\/((-2)\/4*3). Give z*n(g) - u(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 9. Calculate d(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15893.\nAnswer: 23, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5876*d = -5540*d + 7392 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10506 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 33*y**2 + 32*y - 54. Calculate u(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 0.04 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {a: 1, j: 1, c: 1, d: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168907 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17925*d**4*t**2 + 1172*d**4*t - 4*t**2 + 2607793*t wrt d?\nAnswer: -71700*d**3*t**2 + 4688*d**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2 + 29603666*i + 29603664 = 0. Calculate i.\nAnswer: -14801832, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (25\/2)\/((126\/(-420))\/(15\/25))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -1401, -2532, -4087, -6210, -9045, -12736, -17427?\nAnswer: -23262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136843800 divided by -4561460?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4734, 9482, 14230?\nAnswer: 18978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 243, -3, -1, -117 in descending order.\nAnswer: 243, -1, -3, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -28. Suppose p = -3*m - 11 + 23. Let u be m\/(-2*(-5)\/10). Which is smaller: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4291*y - 79*y - 42069*y**3 + 3797*y**5 + 42069*y**3 wrt y?\nAnswer: 75940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2. Let v(g) = -4138*g. Determine v(q(b)).\nAnswer: -16552*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/3 + -1)\/(-3). Let c = k - -5. Solve c*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = -19. Let a = 3 - s. What is the greatest common factor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 1\/15*q**5 - 1\/12*q**4 + 5\/6*q**2 - 1\/3*q**3 + 2 - 2\/3*q. Factor c(m).\nAnswer: (m - 1)**3*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 66, 0 in ascending order.\nAnswer: -5, -3, 0, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 16) to base 11.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(14) - sqrt(14)*1))*-1)\/(sqrt(448) + 2*sqrt(448)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/5*2)\/(14\/35). Let g(w) = 2*w**2 - 4*w - 6. What is the least common multiple of 6 and g(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331, -1353, -3059, -5449, -8523, -12281, -16723?\n\"Answer: -342*j**2 + 4*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -209, -468, -851, -1370, -2037, -2864?\nAnswer: -3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0486 + -0.0314. Let s = 28986 - 28985.9199952. Let m = s + v. Round m to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -486*y**4 + 13998*y**3 + y**2 + 46110371?\nAnswer: -1944*y**3 + 41994*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/13 - 46066*c**3\/13 + 12114054*c**2\/13 - 1056556710*c\/13 + 30678337764\/13 = 0.\nAnswer: -23294, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -2\/5, -71, 0.4, 1\/4 in increasing order.\nAnswer: -71, -2\/5, 1\/4, 0.4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/17 - 258*o**3\/17 + 1464*o**2\/17 + 799744*o\/17 + 185856 = 0.\nAnswer: -88, -4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 135*f**2 - 48*f**2 - 87*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 33*b - 33. Suppose -6*u - 117 = 5*f, 20 + 28 = -u - 4*f. Calculate v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n\/n**(-2\/3)*n))\/((n*n\/(n*n**2\/n*n))\/(n**5\/n)) assuming n is positive.\nAnswer: n**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137785 plus 152.6896?\nAnswer: 137937.6896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-2 - (1*sqrt(77) + sqrt(77))\/sqrt(11))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-50))\/(2\/40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 50235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 8) + 10 + -5 - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -286, 3, 4, 3\/2?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1589?\nAnswer: 6356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4322 - 4323. Let z = -0.2 - -0.1. Let a = -0.3 - -1.3. What is the closest to 2\/3 in z, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgaaaggaagagvga. What is prob of sequence vavg?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35.0411 and -0.4.\nAnswer: 14.01644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 654\/(-27) + 4\/18. Let q be -5*1*u\/15. Solve 30 + 5 = -5*r - 5*g, q = -4*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -318\/85, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9537 and 724812?\nAnswer: 724812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 - 375 + 1666)*(-f**2 + 106*f - 213*f - 3 + 109*f - f**3) to z + k*f + d*f**3 + o*f**2 and give d.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-3 + -4)*-6 - (-3 + 1 + sqrt(72) + sqrt(72))*-4)**2 + -4.\nAnswer: 4992*sqrt(2) + 48924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1982, -1983, -1984, -1985?\n\"Answer: -c - 1981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47613368 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.009 * -118.36.\nAnswer: -119.42524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134, -1357, -4662, -11087, -21670, -37449?\n\"Answer: -173*s**3 - 3*s**2 - 3*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 3, -2, 8.26, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(1700) - (-4 + sqrt(1700)*3).\nAnswer: -20*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 92, 68, -6, -148, -376, -708?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a millimeter in micrometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 20532, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 272248*x**2 + 9256426234*x - 574945424476.\nAnswer: 2*(x - 62)*(x + 68093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (741*u**3 + 617*u**3 + 580*u**3)*(-4*u + 5*u + u) as h*u**4 + k*u**2 + d + i*u**3 + t*u and give h.\nAnswer: 3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7*s + 12*s = -10, s + 2 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102242286 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*z - 2 = 0, -3*j = -0*z - 3*z - 6. Solve -2*q = -j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (49\/(-931))\/((-2 - -5)\/(-6)). Which is the nearest to 1.6? (a) -2\/9 (b) 1\/9 (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5608879.\nAnswer: 5608879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059921 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -89. Let j = -33 + l. Suppose 0 = -2*c + 4*c - j. Solve -d - c = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -6 - -27 - (13 + 2 + -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 42495*i**3 - 42491*i**3 + 1 + 1 + 3*i**4 to n + b*i**3 + s*i + u*i**2 + q*i**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77832 + -0.072708699?\nAnswer: 77831.927291301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 + 1086. Let m(j) = -2*j**3 + 8*j**2 + j + 1087. Determine 4*k(s) - 3*m(s).\nAnswer: 2*s**3 - 3*s + 1083","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5686?\nAnswer: 2, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.268 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 14 in increasing order.\nAnswer: -0.1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.3, 0.05, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64329?\nAnswer: 3, 41, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 768*a**4\/5 - 768*a**3 + 1440*a**2 - 1200*a + 375.\nAnswer: 3*(4*a - 5)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-336)\/(-13) + (-4)\/(-26). Suppose 8*v = 7*v + s. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, and 1 t when three letters picked without replacement from {e: 2, t: 4, w: 3, a: 1, y: 3, d: 2}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 + 7) - 504\/(-189). Suppose 0 = 4*m - z*m - 2*t - 391, m = 3*t + 387. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3063647.81 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 61 = 73 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130 = -154*k - 590 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 10*y**2 + y + 11. Let i be x(-10). Let v = i - -43. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2260, -2255, -2246, -2233?\n\"Answer: 2*r**2 - r - 2261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nccn when four letters picked without replacement from cnicnccnipp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-40)\/5)*12\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32682799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 147\/26, -2, 1\/6 in descending order.\nAnswer: 147\/26, 1\/6, 1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1056 - -4321. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, 15 in ascending order.\nAnswer: -5, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 + 3*a**3 - 81*a**2 - 243*a - 162 = 0?\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -13*z**5\/20 - 4*z**2 - z. What is the first derivative of h(s) wrt s?\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310392 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4444513+-0.1\nAnswer: -4444513.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53732 and 228.\nAnswer: 161196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10447 divided by 17?\nAnswer: -10447\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2197.2 + -2197. What is the second biggest value in 1\/52, 3, k, -2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+49596\nAnswer: 49596.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -7*m**2\/2 - 645*m\/2 - 46 = 0?\nAnswer: -92, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1144 + 3\/((-9)\/(-15)). Let o = c - -6805\/6. Calculate the common denominator of o and -51\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 5, 17 in increasing order.\nAnswer: -34, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -305*l**2 - 17*l + 299. Let s(a) = -102*a**2 - 6*a + 100. Let h(q) = -6*j(q) + 17*s(q). What is the first derivative of h(x) wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7 - (-1 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 - 2*k**3 + 3*k**3)*(-27 + 17 + 38*k + 11)*(4 - 4 + 1) + (0*k**2 + 4*k**2 - 6*k**2)*(-4 + 4 + k**2) - 2*k**4 - 5*k**4 + 6*k**4.\nAnswer: -79*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 224648 (base 11) in base 7?\nAnswer: 3016143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + -12 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1349 - 1342.91. Round k to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 7635*m - 37 = -7631*m, 5*p - 16 = -3*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03431 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*x**2 + 121\/5 - 22\/5*x**3 + 22\/5*x - 1\/5*x**4.\nAnswer: -(x - 1)*(x + 1)*(x + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*a - 83 = -2*c, 4*c + 5*a - 354 = 0. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*p - 25, 124*p - 125*p = -4*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376248 is divided by 371.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*b + 311*b - 130*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 != 48970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/35434202 and -101\/2022?\nAnswer: 106302606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8672, -17551, -26638, -35933, -45436, -55147, -65066?\n\"Answer: -104*w**2 - 8567*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y + 8. What is the remainder when 30 is divided by x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -7*f - 2*f + 5*p + 21, -5*p = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3018301 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1668 = -3*g - 3*g. Let b = g + 1333. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -h, 4*h + 16*q + 36 = 13*q. Let j(w) = 8*w + 6. Let t(v) = 7*v + 5. Calculate h*t(l) + 5*j(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 + 1352*s - 65 - 3629*s + 27*s**2.\nAnswer: 3*s**2 - 2277*s - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 1\/2*f**2 + f + 9. Let g(t) = 35*t + 42. Let o(s) = -g(s) + 42*v(s). Let r(k) = k. What is o(r(b))?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150721*t - 150715*t - o + 33 = 0, 3*t + 9 = 3*o for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -101664 and -1.546569.\nAnswer: -101665.546569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 3*b - 16*b + 3*b + 39 to the form q*b + k and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6372641773.\nAnswer: 6372641773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 4*x**2 + 4*x**2 - 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.3. Which is the second biggest value? (a) k (b) 0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1859788 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 3:41 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3544516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 14. Suppose 2*b + g*b = 28686. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7757 is divided by 243?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 40 = 5*p, 3*p + 3*m + 71 = m + 62 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 54*x**2 - 204*x - 8. Calculate a(5).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (68 - 3)*(-2)\/6 and (-2)\/11 + (-526)\/(-110).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/1807 less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 71, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - 72) + 50 + 33.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 273?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 3 - 3 + (21*k - 3*k + 69*k)*(-2*k + 4 - 4)*(-1 - 1 + 6).\nAnswer: -695*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {a: 4, q: 5, b: 1, y: 1, c: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) -2.77 (c) -1 (d) 3\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/3 - 9*p**2\/2 - 8. Calculate d(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6 = -2*a - 0, 0 = -2*g + 4*a + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -3) + 5 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 2. Let u be (-3)\/6 - r\/(-2). Which is the second biggest value? (a) 4 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7749, -7660, -7421, -6960, -6205, -5084, -3525?\n\"Answer: 12*u**3 + 3*u**2 - 4*u - 7760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 28, 35?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**7)\/t**(2\/3)*(t*t**(-1\/3)*t*t)\/t*t**(-2\/17)\/t*(t\/(t*t**7\/t*t)*t*t**(1\/3)*t*t)\/(((t\/t**(4\/5)*t*t*t)\/t)\/((t**(6\/11)*t)\/t)) assuming t is positive.\nAnswer: t**(-32086\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - a = -9, 0 = -a + 2*a + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/12)\/(2\/8). Suppose 3*f - 861 - 13 = k, 859 = y*f - 4*k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:13 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/11)*(o**0*o)\/o)\/(o**4*o\/((o\/o**(-7))\/o)) assuming o is positive.\nAnswer: o**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-14)\/(-35))\/((-4)\/(-10)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 31*k**2 - 30*k - 1. Let s be z(30). Which is the closest to 15? (a) 4 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((2\/4)\/(60\/72))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from {n: 8, b: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.291513622 rounded to 3 dps?\nAnswer: -0.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-25)*(-6)\/(36\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*w + 5*z = -3*w - 127, 2743*w - 2*z - 50 = 2745*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2978\/5901 + 8\/281. Let h = b + 61\/84. What is the second biggest value in h, 0.6, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*h = 49*h + 7093. Calculate the remainder when 183 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -395 - -1498. Solve 9*q + 8 - 2 - n*q**3 + 1100*q**3 = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 0.4 (c) 0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 + -64 - 57) + (-10 - (2 - 5)) + 3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 2. Let s(c) = c**3 - 9*c**2 - 9*c - 5. Let k be s(n). Solve x - 1 = -2*v, 2*v + v = -k*x + 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(45\/10)\/(-9) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 240\/13 (b) 0.1 (c) -2\/5 (d) 11 (e) -5 (f) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 15. Let t(m) = -3*m + 7. Suppose -9*i - 20 = -14*i. Let l(n) = i*j(n) - 9*t(n). Let a(p) = 2*p - 2. Determine -5*a(x) + 3*l(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 26. Suppose 67 = 3*c - x*h, -2*c + 2*h = 8 - 50. Suppose -64 = -5*r + 4*p, -5*p = 4*r - c - 26. Do 11 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 471.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggq when four letters picked without replacement from {g: 9, q: 10}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 432\/(-81)*27\/(-12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2*w - 3. Let j be c(-3). Let p(m) = -m**3 + 2*m + 13. Let k be p(j). Calculate the highest common divisor of k and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/((10\/(-4) + 3)\/((-168)\/(-6))). Calculate the greatest common factor of 1904 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211888 divided by 304\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 456 - -131. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654502978.\nAnswer: 2, 137, 2388697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -48453017\/4 smaller than -12113255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39750 and 2520?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*o + 18. Factor 0 + 7\/6*u**o - 5\/6*u**2 - 1\/3*u.\nAnswer: u*(u - 1)*(7*u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5015000 or 5014999?\nAnswer: 5015000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i + 3. Let h(p) = -p**2 - 2. Let o be h(i). Let c be (o\/3)\/(4\/(-12)). Solve -d + 2*d + c = 3*u, 4*d = 4*u - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o*o**0)**5 assuming o is positive.\nAnswer: o**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 3*t + 17 - 60 + 25.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-15) - 1\/(-3). Let s be 794\/(-14) + v\/(-7). Let a = -24 - s. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -366 and -367 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 210135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10031 (base 5) in base 12?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1016 divide 22155912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -c - u, -3*u = -2*c + 12. Suppose -d - c*d = -64. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1094, -2158, -3222, -4286, -5350, -6414?\nAnswer: -7478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 8, -2, 5\/4 in decreasing order.\nAnswer: 8, 5\/4, 0.17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*x - 12, -3*x + 0*x + 3*f = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 182, 214, 258, 314, 382, 462?\n\"Answer: 6*c**2 + 14*c + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**(-10))\/(w\/((w\/w**(-1\/10)*w)\/w*w))*(w*w\/(w*w**(-4)\/w))\/w**(6\/7) assuming w is positive.\nAnswer: w**(1347\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.75 - -3.38. Let h = k - -6.47. Let u = -8 + h. What is the nearest to -2 in -6, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 22209.631.\nAnswer: -66628.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 62*g**3 + 2*g**2 + 2*g - 79. Let d(a) = 186*a**3 + 7*a**2 + 7*a - 237. Let q(n) = -2*d(n) + 7*r(n). Find the first derivative of q(o) wrt o.\nAnswer: 186*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(144)\/sqrt(6)*3 + sqrt(48)\/(sqrt(4)\/sqrt(2)))\/((-1*1*sqrt(96))\/(sqrt(108)\/(1*sqrt(9)))))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Suppose -16 = -5*l + 3*x, 2*l - 3*x + 2 = 6*l. What is the least common multiple of s(l) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j - 15 = -31*j. Which is the nearest to -0.1? (a) -2 (b) 2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - -1) + -3 + (270 - 277)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f. Let d(h) = 0 - 32*h**2 + 33*h**2 - 4*h - 4. Let j be d(-1). Let n(a) = 3*a**3 + 5*a. Calculate j*n(p) + 2*v(p).\nAnswer: p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30140 + 10?\nAnswer: 30200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arar when four letters picked without replacement from {a: 5, r: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-27 + 34 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 1030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - -7. Let c = i - 23. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 40. Suppose 4*o + 7 = n - 13, 3*n - 2*o - c = 0. What is q in 0*q + 9\/2*q**5 + 0*q**2 - q**3 - 7\/2*q**4 + n = 0?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86907 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 22 - 20 + 3 + 2156*f + 281*f.\nAnswer: 2437*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9451875 by -3.\nAnswer: 3150625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*k - 3*w + 4*w, 3*w + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17 + -18 - -1*1) + -24. Let p(j) be the third derivative of -47*j**4\/12 + 77*j**3\/6 - 13*j**2. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - 14.88. Let q = -17 - n. Is q >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 2, s: 2, b: 2}. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 46*s + 2726. Give o(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10033)\/237 - -43)\/((-393)\/(-387) - 1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/7))**(8\/3))**6 assuming i is positive.\nAnswer: i**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjlj when four letters picked without replacement from {l: 3, d: 4, j: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -1\/4*x**4 + 0*x**2 + 0*x**3 + 0 + 2*x. Let a(r) = -r**2. Determine a(q(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((11\/77)\/((-2)\/7))\/(-5*(-38)\/(-3515))\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 + 3511*d**2 + 3*d**3 - 3505*d**2 - 29*d**4 as f*d**4 + o*d**3 + j + b*d**2 + n*d and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594317423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -6205?\nAnswer: -88\/6205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - -54. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 7. Let y(k) = k. Let h(s) = r(s) - 2*y(s). Let x be h(-6). Let b = x - 17. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 + -4.79. Which is the third smallest value? (a) -1 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 6*r + 8. Give d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109395463 is divided by 8562?\nAnswer: 8561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 - 5)) + (-47 + 67 - -15).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 + -2 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**8\/10080 + f**7\/441 - f**6\/210 + 31*f**5\/60 + f**2. Let n(q) be the third derivative of p(q). Solve n(k) = 0.\nAnswer: -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1112*b*n**5 - 4620*b*n**4 - 61411573*b*n wrt n?\nAnswer: 22240*b*n**3 - 55440*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 437.9926639 to 2 dps.\nAnswer: 437.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 3730\/(-1242) + 3. Let n = -757\/621 + s. Let a = 1609\/261 + 21\/29. Find the common denominator of a and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -126, -59, 8, 75?\n\"Answer: 67*u - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 0*m**2 + 2*m**2 + (2*m + 3 - 3)*(-2*m + 7*m - 3*m) - 2*m**2 + 0*m + 0*m + (-13*m + 13*m - 11*m**2)*(-2 + 1 + 0).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 342?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061146491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -221012002211 (base 3) in base 4?\nAnswer: -1321002310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1100, 1103, 1102, 1091, 1064, 1015?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 29 + 0*j - 59 + 31 + 0*j + 8*j. Give y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*u - 2*c, 3*u - 3 = 4*c - 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c*c\/c**(-7)*c)*c**8*c)\/((c\/(c*c*c*c**(1\/16)\/c)*c)\/c**(-1\/6)) assuming c is positive.\nAnswer: c**(-53\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 10. Let w = -2 - -29. Let r = w - m. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/((-3)\/777). Suppose -i + 5*j = 3*i - 335, -3*i + v = 4*j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 31. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.1 + 38.1. Let i = 9 + y. Let p = 38 - i. Which is the biggest value? (a) p (b) 7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 31*g - 4 = 27*g, 2*g = 2*w + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 13450245045?\nAnswer: -13450245050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 735 and -7303726.\nAnswer: -7302991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-1497)\/(-5) + 399\/665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305548 is divided by 96.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6\/89 (b) 203 (c) -24 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**3 + 5*p + 21. Let o be 5\/2*24\/5. Let g be (4\/o)\/(3\/18). Let a(y) = -4*y**3 + 2*y + 11. Let b(n) = g*z(n) - 5*a(n). Differentiate b(c) wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1853)\/(-872) - (6\/10 + (-20)\/(-50)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -31, -1, 39, 89, 149, 219?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2853, 5769, 8891, 12321, 16161, 20513, 25479, 31161?\n\"Answer: 17*o**3 + o**2 + 2794*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -1\/4, 60, -1, 0.3?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-57)\/((-7)\/((-28)\/(-12)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188cc6 (base 16) to base 2\nAnswer: 110001000110011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q + 2. Let d be m(-1). Let l = 13 + -12. What is the least common multiple of l and (d\/(-8))\/(9\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.735581 days to minutes.\nAnswer: 1059.23664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/((-848)\/192) + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -552 - -849. Let n = 582 - i. Let q be n\/35 - -2 - 1\/7. What is the highest common factor of 25 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140 - 182*u**2 + 41 + 183*u**2)*(-4*u - 2*u + 4*u) as a*u**2 + o + n*u**3 + s*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 774.\nAnswer: -26\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.91, 0.4, -12.1 in decreasing order.\nAnswer: 0.4, -0.91, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndydyddddndd. What is prob of picking 1 y and 1 d?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167941, 5, 3.\nAnswer: 3, 5, 167941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Suppose 3*j + 4*c = c + 72, 3*c = f. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -4677?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + d**2 - 1 + 0*d**2)*(d**2 + 12*d**2 + 10*d**2) as o*d**3 + l*d + a*d**2 + m*d**4 + h and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*s + 64, 5*s - 693 + 677 = 3*u. Sort 5, -322, s in increasing order.\nAnswer: -322, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/8 + 7*b**3\/4 - 29*b + 19. Let f(a) be the first derivative of w(a). Solve f(v) = 0 for v.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Express -1 + 61*z + 1 - 45*z**2 + 63*z - 129*z - z**3 as y + b*z**2 + p*z**3 + k*z and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*r**3 - 23*r**2 - 105*r**3 - 23*r + 23*r.\nAnswer: -21*r**3 - 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371 divided by 3.\nAnswer: 371\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 219377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 7*w**2 + 12 + 25*w**2 - 8*w**2.\nAnswer: -2*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3225470 divided by 7867\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5716971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1664)*-2)\/((sqrt(500) + sqrt(20))\/sqrt(10)*-2).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 631.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 + h**2 - 2*h + 1. Let y be m(1). Let u(j) = -4*j**3 - 2*j**2 + 3*j - 6. Let r be u(-3). Let g = r - 70. Sort y, g, 9.\nAnswer: y, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 + -12)) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 0.05 (c) -90375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 93 = -47*y. What is the third biggest value in -1.35, -0.4, y, 2\/11?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 506198 and 6488538.\nAnswer: 71373918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 15, z: 4}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1) + 6 + -4. Suppose j - 5*o + 23 = 0, -2*j - 10 = o - p*o. What is the common denominator of j\/2*(-134)\/(-30) and 13\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1120360 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4746624474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 9*o**2 - 2*o - 11. Let g = 0 + 11. Suppose 3*h + g = -16. List the prime factors of v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3)*(-4)\/((-400)\/(-690)))\/(1\/5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3656633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 330271 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 q = -90.85 - -91.35. What is the closest to -1.9 in q, 1.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21113928 and 52470?\nAnswer: 105569640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 107 = n, 6*h + 112 = n + 5*h. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - (47 + 3)) + (32 - 6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/9 - 2*j\/9 + 8\/9.\nAnswer: -(j - 2)*(j + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:44 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-20) - (-3 - 33\/(-15)). Calculate the smallest common multiple of -1*(f + 1) + (-2331)\/(-63) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 9. Let w = l + 22. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112185 rounded to 4 dps?\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*z - 9. Let b be 54\/(-42) - z\/14. Which is smaller: 1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222 (base 8) in base 6?\nAnswer: 14054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -518 - -871. Suppose -4*m + 11 = -x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 0.4, 0.1, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/7, -3\/7, -0.09, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2073610 (base 8) to base 6\nAnswer: 15520532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*g = 12, -2*i + g = 4 - 0. Suppose i = -3*w + 34 - 13. What is the highest common divisor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3801 and -72\/6335.\nAnswer: 19005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g*g\/(g\/g**(-5\/8))*g\/(g**(11\/2)\/g)*(g*g*g**(1\/17)\/g*g*g)\/g assuming g is positive.\nAnswer: g**(-825\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66920 by -8365.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 443, 776, 1241, 1838?\nAnswer: 2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3310020 - 122?\nAnswer: -3310202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + -1 + -8 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17014 - 6*b + 17014 - 12*b**3 - 15*b**2 - 3*b**4.\nAnswer: -3*b*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, -0.5, -0.1, -4, 4 in increasing order.\nAnswer: -4, -0.5, -3\/13, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4008 - 65 + 2*h + 3556)*(1 - 5 + 6).\nAnswer: 4*h + 14998","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (18 + 3)) + 19 + -23.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -15, 5, 16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -559.1 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0*g**3 + 0 - 1\/2*g**2 + 1\/6*g**4 - 3*g. Find the first derivative of j(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d = 76*d + 50. Let l(y) = -6 - d*y**2 + 16*y**2 + 9*y - 5*y**2 - 15*y. What is l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105796569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -324579546 to the nearest one million.\nAnswer: -325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 109*z - 111*z + 16, 0 = 5*z - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.218 + -0.282. What is the second smallest value in -4, z, -2\/13, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03257 * -0.052\nAnswer: -0.00169364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-169344)\/1140 + 3\/(-57). Let u = o - -161. What is the common denominator of (-199)\/138 - (-3)\/9 and u?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*i + 1753 = -467*i. Suppose 5*b - 20 = 0, -4*b - i = -g - 3*b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26491 and 239009.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11569722, 23139442, 34709162?\nAnswer: 46278882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60748, 242975, 546684, 971875, 1518548, 2186703, 2976340?\n\"Answer: 60741*h**2 + 4*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6689, -15514, -24339, -33164, -41989, -50814?\nAnswer: -59639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4310, 17292, 38928, 69218, 108162?\nAnswer: 155760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5952 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2 - 22. Let l(o) = o**3 + 6*o**2 + 2*o - 3. Let x be l(-4). Let f be (0 + 1)*(x + -4). Solve m*j - 3 = f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1610, 1634, 1782, 2054?\nAnswer: 2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -307712 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-979)\/(-2530) + -10 + 1368\/138?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15134 or 11955?\nAnswer: 15134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1388 + -1387. Let j = -141 + 148. Which is the third smallest value? (a) j (b) p (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9328 - -25303. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 37 = 14*r - 13*r, 0 = -m + 4*r + 5. Suppose g = 2 + 7. Calculate the remainder when m is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 11. Let d = 140 - 141. Let x(l) = -l + 1. Determine d*q(n) + 3*x(n).\nAnswer: 2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -40*u**4\/7 + 208*u**3\/21 - 37*u**2\/7 + 8*u\/7 + 135. Suppose r(m) = 0. What is m?\nAnswer: 1\/4, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441 or -1\/3?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1205 - 0.1205. Which is the nearest to i? (a) -3 (b) 4 (c) -2\/19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 4:12 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 120*p - 2 + 115*p)*(-9 - 18 + 82) as r*p + m and give m.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269598426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 + 111110?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 7*n + 196 = -10*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 2*f**3\/3 + f. Suppose 0 = -54*i + 39*i + 30. Calculate s(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 392945*g**4 - 421044*g**2.\nAnswer: 9430680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 640439838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, 4, -4 in decreasing order.\nAnswer: 18, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/4*(-8)\/10. Which is the closest to 1\/4? (a) -2\/7 (b) -1 (c) q (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/5 - 37\/15. What is the common denominator of y and (-14 + (-20364)\/(-1560) + 1)\/(-2)?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148820 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2155 = -1460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 3\/2 (c) -25.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 105 + 105 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -102*i - 20. Let d be t(4). Calculate the common denominator of d\/(-56) - 3 - -2 and -33\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -44, -35, -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3676540931.\nAnswer: 7, 525220133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 + d**2 - 3*d**2 + (-2*d - 4*d + 5*d)*(-4*d + 5*d - 2*d) + 2*d - 2*d + 2*d**2 + 2*d**2 + 6*d**2 - 5*d**2 + d**2 + 2*d**2 - 5*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/3))**(25\/4))**(-13) assuming q is positive.\nAnswer: q**(-1625\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21637 by 21637.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0)*(796*f - 1221*f - 3311*f - 777*f).\nAnswer: -4513*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/998 and 83\/201596.\nAnswer: 201596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 269167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -8.8\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8)*2) - sqrt(5000)\/sqrt(10) - (-2 + 0 + sqrt(5) + 1 + sqrt(5) + 1))**2.\nAnswer: 2645\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 40 - 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -291 + 653\/2. Let m = -1467222376606764497\/417320 - -3515820896693. Let i = -5\/10433 + m. What is the common denominator of o and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 5*p + 0*p = 50, -14*q = -43*q - 11*p + 12*p + 141 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Is 91 - 0 - (-6 - u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.025 - 2.025. Which is the second biggest value? (a) -1\/2 (b) v (c) 106 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c + 46 = -41 - 105 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by (-32 - -29) + 5 + 78 + (2 - 5).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/366 and -94\/15.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**3\/3 + 3*o**2 - 8*o + 9. Let h be c(-8). Suppose -4*s = 90 - 314. What is the greatest common factor of s and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 7*c + 33. Let l(k) = k**3 + 9*k**2 - 113*k - 6. Let o be l(-16). Calculate f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11944.49926 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 90*k + 360. What is the remainder when p(84) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjy when three letters picked without replacement from {a: 4, y: 5, o: 10, j: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12450*m + 2295. Let a(w) = 56022*w - 10330. Let q(z) = -5*a(z) - 22*j(z). Differentiate q(s) wrt s.\nAnswer: -6210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5074 + 5378. What is the highest common factor of 494 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59869.\nAnswer: 19, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5985399 is divided by 572?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 2*f**2 - 23*f - 1. Let a be j(6). Solve -4*x + a*q - 36 = 0, -4*q + 15 = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2143543052?\nAnswer: 2, 7, 23, 37, 89959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10214261 is divided by 217324.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2 - 193*t**2 - t**3 + 445*t - 452*t + 186*t**2. Let s(q) = q**2 + 2*q + 1. Let o be s(-1). Suppose o = -3*c + 3 - 21. What is k(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 93 = 0. Suppose -3*j + 5*w = -y, 0 = -3*j + w + 13 - 2. Suppose z + 0*z = 2*f - 29, -j*f - 3*z = -25. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 32. Let b be i(4). Suppose -6*y = -b*y - 156. Suppose 0*x - 3*x - 2*a = -y, 63 = 2*x + 5*a. Solve 0 = -5*o + m + x, -o - 9 = 5*m + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:42 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqw when three letters picked without replacement from {m: 1, w: 1, d: 2, u: 1, q: 1, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 364, 356, 340, 310, 260, 184, 76?\n\"Answer: -w**3 + 2*w**2 - 7*w + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)\/((-2)\/(-162)). Suppose -z - 5*j + x = 0, -3*z - 4*j = 2*z - 384. Let m = -14 + z. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 13) to base 11\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 1073?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2)*(-7 + 3). Let m = j - 6. What is the first derivative of -h + h + h - m*h - 2 wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 9*v + 5. Let b be w(9). Calculate the greatest common divisor of 35 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*m + 0*m = 31, 5*m + 46 = 3*w. Let c(v) = 103*v - 186. What is the remainder when c(2) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*r - 320*r - 4875 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 3*q**2 + 3*q + 4. Let f be y(4). Suppose f*o = o + 1. Are o and 3\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64194439?\nAnswer: 4099, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 15 = 5*j. Let i be (j - -13) + (3 - 0 - 3). Calculate the highest common factor of 15 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1720266 times 57\nAnswer: -98055162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = -16. Let g be (8\/10 + -2)\/((-9)\/(-30)). Calculate the lowest common multiple of 18 and (-1)\/((-2)\/d) - g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/120 + l**4\/3 - 7*l**3\/6 - 3*l - 13. Let u(h) be the second derivative of w(h). Give u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-165)\/(-40) - (253\/8)\/(-11). Solve 0*s = w*s - 14*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920 divided by 1?\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*u**4 + 91*u**4 - 151*u**4)*(5 - 10 - 3).\nAnswer: -256*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 + q - 10. Let d(i) = -i**2 - 1. What is -6*d(u) + j(u)?\nAnswer: -2*u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1\/30, 5 in ascending order.\nAnswer: -20, -1\/30, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 + 37. Let h = u - 165.762. Round h to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5262066, 5262037, 5262008, 5261979?\n\"Answer: -29*p + 5262095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -83320*h + 4499274. Give z(54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782 + 392 + 7*f**2 + 21*f**2 + 390.\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55824 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 16) to base 13\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*y - 22, 4*h = -2*y + 3*y + 11. Let j(v) = 3*v**2 + 13*v + 2. Let d be j(-10). Suppose -2*w + d = h*w. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjgmajjammmfy. What is prob of picking 1 g, 1 y, and 1 f?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105 - (10 + -6) - 3. Calculate the greatest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65c5f (base 16) to base 14.\nAnswer: -abcbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 16*c - 4*c**2 + 4 + 0*c**2 + 7*c**2 + 11*c. Let x be j(-13). Suppose -5*u - 5*p + 135 = 0, -x = -4*u + 2*p - 28. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/10 (c) 3 (d) -1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.9 + -11.9. What is the closest to 0 in 4\/3, 1\/4, f, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n + 33. Let w be r(6). Let f = 109 + w. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, e: 7, c: 7}. What is prob of sequence ww?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(11) + sqrt(66)\/sqrt(6))*5 + -2)**2 + (-2*(sqrt(156) + sqrt(156)*1))\/(sqrt(96)\/(sqrt(8)*-2)).\nAnswer: -2*sqrt(13) + 341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 22640179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {o: 9, r: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/47 in -0.351, -12, -0.1, -35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33638*k**3 + 67275*k**3 - 33641*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 8. Let v be u(12). Suppose 3*f + n - v = -3, 4*f = 3*n + 13. Solve 5 = -q + f*g - 19, -4*g = -5*q - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6 - 2*t**5 - 59*t**3 + 6367*t**2?\nAnswer: -240*t**3 - 120*t**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 6*t - 75. Calculate the remainder when 89 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694209, -1388443, -2082681, -2776923?\nAnswer: -3471169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = -3*y, 4*n = -2*y + 9 - 3. Suppose n*x - 20 = 5*x. Let h be 45\/4 + x\/16. Calculate the greatest common factor of h and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4706 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -136?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from sssggsysggs?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**3 - 172*o**2 + 8944*o + 37248.\nAnswer: -4*(o + 4)*(o + 24)*(5*o - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 8. Let u be (-2)\/r - 88\/72. Put -2, u, 5 in descending order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5245282 is divided by 293?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3 + 64*p**2 - 1091?\nAnswer: 3*p**2 + 128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-182)\/(-52))\/(-7 + (-3166)\/(-452)). What is the greatest common factor of b and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190759\/8 - -23850. Calculate the common denominator of -51\/8456 and y.\nAnswer: 8456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 72 + 63. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*o**3 + 84*o**2 + 57*o**3 + 55*o**3 + 72*o**3 - 2*o - 233*o**3.\nAnswer: 3*o**3 + 84*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2023493.11865 - 2023549. Let w = 55.9 + z. Let r = w - 0.02. What is r rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6294*h**2*n**2*w - 3*h**2*w**3 - h*n**2*w + h*n*w**2 - 25800*h*w**3 wrt h.\nAnswer: -12588*n**2*w - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003003 to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -15. Sort 2, t, 6.\nAnswer: t, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526586 minus -228937?\nAnswer: 1755523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84884938?\nAnswer: 2, 42442469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491045 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*d + 19 = 5*p, 3*p - 3*d = 21. Suppose -49 = -p*c + 15. Solve 3*i = -i + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38067158 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*g + 2122 = 237 - 490 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 6576 = 3*c - 3*u, 0 = -5*c - u + 10972. Suppose 0 = -g + c + 7229. Suppose -12576 = -4*f + g. Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-1)\/3*9344\/1168?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 5*y**2 + 3*y + 5. Let s(k) = -2*k**3 - 8*k**2 - 5*k - 8. Let b(l) = 8*p(l) + 5*s(l). Let t(q) = q**2 - q. Determine b(h) - 2*t(h).\nAnswer: -2*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, x: 3, r: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10304 + 12\/3*-1. Round g to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -5*x**3\/3 + 18*x + 37. Let q(v) = -2*v. Determine q(b(j)).\nAnswer: 10*j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265084397 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 149*x**2 + 18*x - 38. Let g be r(2). Let t = g + -563. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/27 - 2*y**3\/9 + 6*y. Find g, given that n(g) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -199065, -796270, -1791605, -3185064, -4976641, -7166330, -9754125?\n\"Answer: f**3 - 199071*f**2 + f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176934 or -176950?\nAnswer: -176950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/(-18)*-3)\/(((-364)\/104)\/(24\/(-16)))?\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8765468 and 5249.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81646870 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 55\/(-12)*3\/(-10). Let x be 6\/(-8)*3\/(-18). Let a = x - v. Sort a, -5, -3\/4.\nAnswer: -5, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81770695*i**2 - 791*i - 148654 wrt i.\nAnswer: -163541390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -18. Let l(i) = i**3 + i**2 - 2*i + 4. What is l(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/154 - (-2)\/7. Let l = 0.7 - 2.7. Let r be (6 - 1)*(-8)\/60. What is the nearest to -0.1 in r, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c + 2)*(3 - 1 - 4)*(-458*c**2 - 613 + 193 + 457*c**2).\nAnswer: 2*c**3 + 840*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.48. Let z = -10.78 + 11. Let h = z - q. Are h and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2687288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.607 - 0.053. Let d = -0.8 - s. Let y = 3.86 - d. Are -2\/5 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6482108302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/9 (b) -1\/2 (c) -1\/10 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 7 - 43 = 0. Let v(h) = -h**2 + 10 - h**2 + 3*h**2 - n*h - 1. Let r be v(5). Solve r*q - q = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + (2 - (-1 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 12865*c - 193219. Determine w(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-102))\/((-4)\/(-88))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -174. Calculate the remainder when i is divided by 3\/(-1) - 78\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209076\/101 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317345 is divided by 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 12. Suppose 3*s - 1 = 14. What is the remainder when y(s) is divided by (36\/(-8))\/(21\/(-28))*(-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1050 + 1070. What is the remainder when 87 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 47936 = 31*g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 10. Let t be m(7). Suppose 11*b = t*b + 102841774. Suppose b = 10*s + 39691682. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from xwrufjuw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b*b\/(b\/((b**(-5)*b)\/b)*b*b))**(1\/48) assuming b is positive.\nAnswer: b**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*l + 13, 3*u + 5*l - 12 = 2*l. Let q be (-2 - -1 - -2)*5. Suppose q*b = 65 - 5. What is the remainder when b is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 2*m + 78, 4799*a - 21 = 4800*a + 5*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -863*i + 881*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -239, -988, -2247, -4016, -6295, -9084?\n\"Answer: -255*u**2 + 16*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74693*b**3 - 38577*b**2.\nAnswer: 448158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -336*s**4 + 1564*s**3 - 1444*s**2 - 656*s - 48 = 0?\nAnswer: -1\/4, -2\/21, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-12)*-3*-2. Let t = 8 + i. What is the second derivative of t - 5*h + 6*h - 1 - 5*h**5 wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 39866423?\nAnswer: 119599269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 141*m**2 - 1309*m - 11. Give k(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*j - 29. Calculate the common denominator of j and (-118)\/33 + 2\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1179921*r**3 + r**4 + 3*r**4 + 2700*r - 980*r**2 + 0*r**4 - 1179853*r**3.\nAnswer: 4*r*(r - 5)**2*(r + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4432687, -4432680, -4432665, -4432642, -4432611, -4432572, -4432525?\n\"Answer: 4*a**2 - 5*a - 4432686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/9 - 8826*s**3 - 2777804*s**2\/9 - 282168*s + 5396752\/9 = 0. What is s?\nAnswer: -39682, -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6385, -4, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115155 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 127410456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*k**2 - 326*k**2 + 294*k**2 + 288*k**2 - 1126*k**2 + 292*k**2 + 287*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/256)\/(-5*1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 16*y**2 - 21 - 23)*(2*y**2 + 0*y + 0*y).\nAnswer: 32*y**4 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-43)\/g*g))\/g**(14\/3)*(g\/(g\/(g*g\/(g**(-31)*g))))**(12\/17) assuming g is positive.\nAnswer: g**(3209\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66972938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**3\/5 - 11*l**2\/10 + 6*l\/5 + 204. Find k such that f(k) = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 130. Suppose -690*t = -689*t + 35. Let q be b(t). Which is smaller: q or -47\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5724 + -4012. Suppose -4*o - x = -0*o. Let h = o + 8986\/21. Sort 0, h, 0.4 in decreasing order.\nAnswer: 0.4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 223, 2582, 9027, 21604, 42359, 73338, 116587?\n\"Answer: 341*j**3 - 3*j**2 - 19*j - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4\/17 - 48804*v**3\/17 + 390336*v**2\/17 - 780608*v\/17 = 0.\nAnswer: 0, 4, 24394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 58. Calculate c(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -254?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 70746 = -0*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*z - 1344 - 303 = 326 + 2466 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-1*sqrt(112))**2)*1*-6.\nAnswer: -6*sqrt(7) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 1 - 1 + 14*n to the form s + r*n and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -1)*(-49)\/(-98). Solve 2*s + t = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 9 = b, 9*b - 11*b - 4*d = 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1257 and 0.3.\nAnswer: 377.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l**(-1\/6)\/l*l*(l**(-1))**(4\/3) assuming l is positive.\nAnswer: l**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*c - 584*q + 586*q, -2*c - 7*q + 3*q = 42 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -28. Suppose -p*m + 2*k = -3394, 2*m = 7*m + k - 8479. Suppose 4*d - 2*o - m = 0, -o + 438 = d - 5*o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.103802132 + -0.1038. What is i rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*y + 35, 4*o - 901*y + 21 = -900*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -215741*n + 215820*n + 2765 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7 - -2 - 7) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 44\/1750355?\nAnswer: 44\/1750355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450046.745 - -18436489.955. Let w = u - 18886696.7000067. Let a = 160 + w. Round a to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49 and 358446483476.\nAnswer: 358446483427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 4 - 4 + (11*c**2 - 7*c**2 + 2*c**2)*(1 + 0 - 3).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-8) + 3*57\/9. Suppose 0 = -2*j - 8, -5*b = -5*j - 220. Let h = b - t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11144477 + 11144477 + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 - u - 11. Suppose -3*z - 32 = -3*n - 38, z = -n + 4. Let y be i(z). Let d(v) = -v**2 - 24*v - 22. What is d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by 110.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 3. Let d = 393 - 351. Suppose -m - d = 2*p, -2*m = -p - 21 + 5. Let l(j) = 8*j + 20. Give p*q(i) - 3*l(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 44. Let h be k(7). Solve -2*d - 2*v + 2 = 0, -h*d + 6*v = 3*v - 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 1. Let g be l(8). Let c(o) = -6*o - 3. Let v be c(-4). Let r = g - v. Solve -4*p - 5*u = 14, -4*p - 3*u = u + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 6*z**2 - 3*z + 12. Let p be v(-5). Suppose u + 1 = -u + 5*y, -2*y = -u. Factor p + 4*s**u - 5*s - 3*s**2 + 2*s.\nAnswer: (s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*o + 211 = -2*g + 271, 4*o = 3*g + 60 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 - 1. Let q = 10 + -7. Suppose -q*u + 18 = -u - 3*r, 0 = -u - r - 1. Suppose -4*i - 1 = u. What is c(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**2*u**3*w - 2*b**2*u**2*w + 3*b**2*v + 51*b*u**3*v*w - 36*b*u**2*v*w + 2*u*w wrt u.\nAnswer: 18*b**2*w + 306*b*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11063000 rounded to the nearest 100000?\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 35*n**2 - 50*n + 182. Is 59 a factor of u(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/6 + 1392\/(-580) + (-41)\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626802329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t - 0*t. Suppose -q + 5 = 0, -5*s = -3*s - t*q - 10079986. Let a be 6\/27 + s\/9. Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 23*x + 51. Let p(f) = 10*f + 22. What is 4*d(c) - 9*p(c)?\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - 5*z**2 + 2*z**2)*(52633*z + 30 - 26485*z - 26556*z) to p*z**2 + s + b*z + m*z**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.36, -12, -1 in descending order.\nAnswer: 4, -0.36, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 61 - 47 = 0. What is the lowest common multiple of j and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -24. Let n = -8 + 14. Let o = n + g. Which is the second smallest value? (a) -4 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/120 + v**5\/10 + 5*v**4\/24 - v**3\/3 + 60*v**2. List the prime factors of h(5).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323112 (base 4) to base 2.\nAnswer: 10111011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 11476166282148?\nAnswer: 11476166282148.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3775661 * -9\nAnswer: 33980949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1519336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913300769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*n - 2*k + 25, 0 = -3*n - 5*k + 15. Suppose 14 = 3*s + n. Let c(a) = -3. Let x(p) = -p - 5. Determine s*x(q) - 5*c(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (29 - 14 - 6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -3) + -2 + 5. Suppose -3*g - 2*v + 136 = l, 0 = v + 5 - 1. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 15*j - j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 7*s + 737. Let k be l(-21). Solve a + 22 = -4*b - a, k*b - a + 5 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {q: 2, d: 1, s: 1, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:15 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 4*f + (-1 - 1 - 1)*(3 - 4 + 6)*(11*f + 8*f - 2*f)*(0 + 1 + 0).\nAnswer: -259*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3581 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = -o, 44 + 6 = 3*c + 5*o. Solve 3*b + 6 = t, -c = -0*t + 4*t + 5*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + 2*d**2 - 4*d - 5. Let w be s(-2). Is 4 a factor of ((-24)\/(-9))\/(6\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + w - 1, 5*v = -w + 21. Suppose 15 = -3*l + 2*b, v*l + 5*b + 10 + 15 = 0. Sort l, 14, 0.\nAnswer: l, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 322 and -12071951042.\nAnswer: -12071950720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -745 and -744 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -y - 4*l - 0*l, 4*y - 4*l = -72. Let t = y - -44. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10421 = -4*t + 3*a, 4*t + 26*a - 10431 = 27*a. Is t a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44145*l**6 - 58*l**3 + 6023*l**2 + 94*l - 1 wrt l.\nAnswer: -5297400*l**3 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -51.4 (b) -18 (c) 3 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 3, m: 4}. What is prob of sequence rir?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26954*c + 26961*c + 101 = 4*y, 2*c - 54 = -3*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.014 - -31.014. Let f = -291837285 + 291837315.99999916. Let c = o - f. What is c rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**3 + d**2 - d + 1. Let a(h) = -h**3 - 13*h**2 - 6. Let w be a(-13). Let x be (-6)\/4*w\/9. Give c(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 18*f = -92*f - 180 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 118?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 589063 a multiple of 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(1\/5)))**(-4))**(-1\/6) assuming u is positive.\nAnswer: u**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1830*p**2 - 2081*p**2 + 4735*p**2.\nAnswer: 824*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**3 + 7*z - 2*z + 3*z - 7*z to the form g + j*z**2 + p*z + r*z**3 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(2\/3)*n)))**(1\/6))**(13\/3) assuming n is positive.\nAnswer: n**(65\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 42. What are the prime factors of (260\/25)\/((-6)\/p)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5179 times 203?\nAnswer: -3150.1337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 17*t**2 + 16*t**2 + t + 2. Let q be d(-5). Let j = -11 + 11. Put -17, j, q in descending order.\nAnswer: q, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055635 to 6 dps.\nAnswer: -0.000556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3\/6*(-80 + 36). Solve -24 = -4*w - 4*u, -2*w = -5*w - 4*u + d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgg when three letters picked without replacement from {u: 4, b: 1, s: 3, h: 1, g: 5, v: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 2*d**2 + 5*d**2)*(2916*d + 1349*d - 961*d + 2665*d).\nAnswer: 17907*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-5)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.289 to zero decimal places.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 18 = 3*d - 10, -4*d - 5*p = -27. Suppose 3*u = 1 + d. Sort u, -4, 4 in decreasing order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u - 60 - 70. What is the highest common factor of u and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 300\/24 - (-1)\/(-2). Suppose -2*q + 0 = -x. Suppose 3*m = 3*d - 0*m - 75, 5*d - 123 = 4*m. Calculate the remainder when d is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 25)\/2 - (-15488)\/1452\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 5 + -8 + -7 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 (base 10) in base 16?\nAnswer: 57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) 4 (c) 2\/15 (d) 3 (e) 415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-64)\/12)*(-72)\/(-1324). Are 1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3284984 and -1\/40.\nAnswer: 16424920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -61*i + 120*i - 61*i. Suppose -11 = -3*x - 2. Let p(u) = 3*u + 3*u - x*u. What is p(d(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 - 4.32. Let d = -0.09 - -1.28. Let s = d - 0.19. Which is the second biggest value? (a) -2.1 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/2 - 361*g**3\/2 + 359*g**2 = 0.\nAnswer: 0, 2, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14907*f**2. Let s(y) be the first derivative of 2*y**3\/3 - 75. Calculate p(s(g)).\nAnswer: -59628*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/1485 and 83\/1935?\nAnswer: 63855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/1131 - 963\/87.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -6. Let r = b + 36. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 3}. What is prob of picking 2 y?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3403872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -530, 9, -4\/5, -0.07 in descending order.\nAnswer: 9, 2, -0.07, -4\/5, -4, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1 - (-1 + 0). Let v be 130\/(-60)*96\/(-78). Factor -v*a**2 + 2\/3*a**n + 0 + 4*a**3 + 2\/3*a - 8\/3*a**4.\nAnswer: 2*a*(a - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7344*m**4 - 6*m**3 + 202*m**2 + 646*m.\nAnswer: 176256*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -8*q**5\/5 + 34*q**4\/5 + 6*q**3\/5 - 58*q**2\/5 + 2*q\/5 + 24\/5 = 0.\nAnswer: -1, -3\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.9 - -58.4. What is the third smallest value in l, -2, 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -56. Put t, -2, -4 in increasing order.\nAnswer: -4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15784 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 10*g + 22. Let z(h) = -2*h**3 - 7*h**2 + 10*h + 23. Let x be z(-2). Determine v(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 5:27 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 - 7*v + 10*v - 8*v**3 - 3*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43952, 39689, 32584, 22637, 9848?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 + 5*l + 10. Let k = 7 - 0. Let a be f(k). Let z(h) = -3*h + 0 + 4*h + 4. What is z(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 4*g - 87 + 19 = 88, -2*y - 67766 + 67789 = 3*g for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -30969458 greater than -30969446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-2\/19)\/n)*n**(4\/3))\/(n**(6\/11)\/n**8) assuming n is positive.\nAnswer: n**(7457\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3764 - 263549\/70. Calculate the common denominator of (-1 - (-420)\/52)*6\/168 and b.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1753 at least 19585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 1. Let k(o) = o + 1. Let s(y) = -i(y) - 6*k(y). Let x be s(-7). Suppose -j + 2460000 = x*j. Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 3)\/(7 + -5). Suppose 40 = y - a - o*a, a = -y + 38. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57824 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/24 + k**2. Let f be h(-3). Suppose d - 4 = -f*d. Is 1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 462659 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 4)\/((-2 - -3)\/(-1)). Solve 4*a - 3*a = -3*r + 10, a + i = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.352 + 11326?\nAnswer: 11325.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*0\/(-3 + 6). Let t(s) be the third derivative of z*s + 4\/21*s**3 + 1\/210*s**5 + 0 - 1\/21*s**4 - s**2. Suppose t(l) = 0. Calculate l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125745987.\nAnswer: 3, 41915329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32790924 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6251.\nAnswer: 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/(y*y\/((y\/(y*(y*y**(-42)*y)\/y))\/y)))*y)\/(y*y**(2\/77)\/y*y*y))**31)**43)**(-2\/27) assuming y is positive.\nAnswer: y**(8011330\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(325))**2 - (-1*sqrt(104))\/sqrt(8).\nAnswer: sqrt(13) + 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*r - 25*r - 70 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 19 + 27. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/24080 and -27\/3200?\nAnswer: 963200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 + 316. Let x = 84 - a. Solve -4*f - i - 19 = 0, 0 = x*i + 12 - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 17 = -k, 9 = 2*k + u - 5. Calculate the lowest common multiple of k and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-22)*-2 + (-276)\/(-759). Sort -143, -20, g, 2.\nAnswer: -143, -20, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 11. Let m(p) = 3*p + 31. Let t(u) = -17*i(u) - 6*m(u). Let a(s) = -2*s**3 - 6*s**2 + 2*s - 2. Determine a(v) + 2*t(v).\nAnswer: -2*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35442461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)*0\/(-11 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -17.93?\nAnswer: -5.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(0*d - 4*d + 2*d)*(1 + 2 - 5)*(4 - 2 - 248*d + 89*d).\nAnswer: 636*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - -1 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let i(n) = -3 - j + n**2 + 0 + 4*n. Calculate i(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 at most as big as -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/320 - -389\/320. Let k(s) = 3*s**2 + 17*s + 22. Let z be k(-13). Let u = z - 1563\/5. What is the common denominator of n and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 20 = 7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387777 + -0.011312366.\nAnswer: -387777.011312366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + p**3 + 8*p**3)*(-18*p - 7*p**2 + 18*p).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14839.9 - 14838.78163. Let y = d - 1.12. Round y to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(13) + sqrt(26)\/sqrt(2)*-2 + 2*(sqrt(468) - sqrt(13)) - (sqrt(13) + (sqrt(13) - -5*sqrt(78)\/sqrt(6)) + sqrt(325) + -5)) + -3))**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*g, -v - g + 66 = 56. Solve 9 - 27 = -4*a - 5*x, -v*a - 2*x = -14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 60 = 0. Let b(i) = -21*i - 142. Let o be b(-8). Solve 0 = 3*g + r, 0 = -0*x - 2*x - 4*g - o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4918265 is divided by 1639401?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 2*c**2 + 22*c + 42. Calculate z(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-28))\/(((-4)\/2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:51 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.585 times -0.4?\nAnswer: -15.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4557535669 take away 3?\nAnswer: -4557535672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/2 - 106*g**2 + 11845*g\/2 - 31827 = 0. What is g?\nAnswer: 6, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5 + 78510*v**4 - 2821905*v**3 + 31730400*v**2 - 105745500*v = 0.\nAnswer: 0, 6, 15, 15666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 12*b + 923. Let z be m(-25). Do -56\/37 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-4))\/(1\/2). Suppose p - f = 4*p. Is ((-1)\/p)\/((-3)\/(-42)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250856 divided by 137?\nAnswer: -250856\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/2325*(52516\/(-8664) + 4\/6 - -5)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 - 3 = o, 5*o + 3*u - 3 = 0. Let a = 6 + o. Solve 0*c = -2*c + a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.41626 grams to milligrams.\nAnswer: 92416.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 3*n - 8. Suppose 333*c + 20 = 328*c. What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 42*j - 59. Give d(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*y + 3*w + 14 = 291*y + 2*w, -6*w - 120 = 6*y - 0*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4551, 6422, 9533, 13884, 19475?\n\"Answer: 620*s**2 + 11*s + 3920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.23 or -975\/14?\nAnswer: -975\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 1201?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5406599176 and -103.82?\nAnswer: 5406599279.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + 7*m - 3. Let g be q(6). Let z(r) = -4*r**2 - 6 - 6*r + g + 3*r**2 - 3. Let l be -4 - (1 - (-1 - -1)). Give z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6795\/7 or -970?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1259*r - 133 wrt r?\nAnswer: 1259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 i when three letters picked without replacement from {i: 1, h: 6, k: 1, r: 1, a: 3, x: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/30 - 42\/45. Let s = -0.3 + 0.1. Which is the biggest value? (a) 0.1 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 3*y + 7 + (0 - 3*y + 0)*(-24 + 25 - 23) + (-1 + 1 + 2*y)*(2 - 2 - 1).\nAnswer: 67*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10591 by 173.\nAnswer: 10591\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 14. Calculate b(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 70632.15 minutes?\nAnswer: 1177.2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 1. Let f be u(-1). Let b be 13104084\/(-18) - f - (-2)\/(-6). What is b rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g*n**3 - 67*g*n**2 - g*n*p + 2*g*n + 27*g*p + 58*n**3*p + 3*n**2 - 1276*n*p wrt n.\nAnswer: 36*g*n - 134*g + 348*n*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -124945 and -1694937.\nAnswer: -1819882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 28*a**2 - 18*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2194, 0, -25, -230.\nAnswer: -230, -25, 0, 2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -114924.\nAnswer: -114916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = -4*i - 33, -2*l = -i - 12. Let f(y) = 2636*y - 18451. Let d be f(7). Put -10, -1, i, d in ascending order.\nAnswer: -10, i, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 128, 258, 436?\n\"Answer: 24*o**2 + 10*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.13. Let l = d + -0.43. Let v = 0 - 1. Which is the second smallest value? (a) -2\/7 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0.158, -0.5, -2, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 7 + -5)*((-41)\/(-90) + 54\/(-108))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -3, -6, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19768221.800054 - 19768203. Let u = 18.8 - h. What is u rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13042, 158, -1, 5, 3 in decreasing order.\nAnswer: 158, 5, 3, -1, -13042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 3. Let l(m) = m - 2. Let x be l(6). Let b(g) = 6 - x - 5 + 1 + g. Calculate -6*b(n) - 4*z(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**3\/3 + 10*j**2 + 5*j. Let f be c(-9). Solve 4*a = 4*u - 8, -f*a + 4*u = -u + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + l = 3, -10*l = -97*d + 93*d + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -76, -68, -58, -46?\n\"Answer: h**2 + 5*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 10 - 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980526061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.7 + 10. Let g = -38.1 + 40.1. Let v = z - g. Which is the third smallest value? (a) -1\/4 (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 10. Let x be y(-6). What is the units digit of 1\/x + 429\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 578*q**3 - 690 wrt q?\nAnswer: 1734*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 3*a - 16. Let n be t(-6). Solve 0 = -n*u + 1 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= 2303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 13. Suppose -o + s - 2 = 0. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 0. Is (-14705)\/j - (-6)\/33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4527.11 rounded to the nearest 10?\nAnswer: -4530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-7))\/((18\/(-39))\/((-19)\/247))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**23*v**25)\/((v*v\/(v\/((v\/v**(-2\/29))\/v)))\/v*(v\/(v**(-1\/23)*v))\/v) assuming v is positive.\nAnswer: v**(32608\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11760635 and 4210.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 0.3215.\nAnswer: -4.6785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 3 = -36*d. Suppose -2*s = 5*z - 19, 5*z - 25 = -4*s - 2. Let v(p) = p**z + 3 + d - 5*p**2 + 4*p**2 - 5. Give v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.2, 4\/61, -4 in descending order.\nAnswer: 4\/61, -4, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*o + 36*o + 3*p + 206 + 24, -3*o + 4*p - 5*p - 34 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.594412 litres to millilitres.\nAnswer: 1594.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -43*x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261 + -251. What is the nearest to -2\/3 in l, 1\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/6 + 2*x**2. Let c(l) = -2*l**2. Determine c(m(d)).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 680*d - 1340.\nAnswer: -5*(d + 2)*(d + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34390778, -68781553, -103172328?\n\"Answer: -34390775*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43612983?\nAnswer: 3, 919, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 25 - 2 + 6*y - 9*y. Suppose 4*c - 84 = -5*j, -3*c + 26 + 42 = 5*j. Calculate the remainder when m(-8) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24592108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 7, h: 5}. What is prob of sequence xhh?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078614 rounded to three dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 3, e: 4, i: 1}. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2. Let k(o) = 11*o**2 - 6*o + 3. Let s(u) = u**2 - u. Let z(m) = -k(m) + 6*s(m). What is z(v(t))?\nAnswer: -5*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 29076 = -143107. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251951*a - 42 = 251937*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 55. Suppose -y*n + 5*s = -0*n - 84, 4*n + 5*s - 112 = 0. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 177118552*p + 1960686341411044.\nAnswer: 4*(p + 22139819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)\/c)\/c*c)\/c**(1\/10)*c**(-2\/15)\/c*c*c*c**1*(c**(-1\/2)\/c**(-6))\/((c\/(c*c**0))\/c)**(7\/3) assuming c is positive.\nAnswer: c**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f**2 + 220*f - 942. Determine g(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 11*o - 13. Let x be a(-9). Let j be (-1 + (-1)\/3)*-3. Suppose j*m + k = -2*k - 4, -5*k - 28 = -4*m. Solve -x*g - m = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*l - 3*c - 1, 4*l = -2*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34536811 and 0.04.\nAnswer: 0.0138147244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269 = 5*b - 4*h - 1331 + 2681, 5*h = -b + 7 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1978*h = -1955*h + 322 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - 278\/(-6). Let g = p - 29. Suppose 1 = -2*j + g. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86663785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 575700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 11)*(1 - 5 + 20)*(-k**3 - 4*k**3 + 3*k**3).\nAnswer: 512*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 2, h: 4}. Give prob of picking 1 s and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017084 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/159 - -250\/2703. Let g = -18\/7 - -22\/7. Which is the nearest to z? (a) g (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - ((13 - 12) + -6) - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 12. Let p be z(8). Suppose 4*q - 4*j + 2 - 6 = 0, 3*j - 18 = -p*q. Suppose -q*u - 3 = 0, -3*w = -0*w + 5*u - 40. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*p + 96 + 214 = 0. Let 0 - 4\/3*c - p*c**3 - 10\/3*c**2 = 0. Calculate c.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2 + 3 - 18*g in the form o*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 9 + 9 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1032\/903)\/((-1)\/7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, w: 5}. What is prob of sequence wg?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2554655?\nAnswer: 5, 510931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 + 7*z + 5. Let k be ((1 + -16)\/(-3))\/(-1). Let m be i(k). Does m = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207984001.\nAnswer: 7, 172569143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1531.26 times 0.2\nAnswer: 306.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 0*k**2 + 8*k**2 - 2 + 10*k + 7 + 1. Is 6 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10203 minus 116.1?\nAnswer: -10319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.239345185 rounded to four dps?\nAnswer: 0.2393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -913668, -913664, -913666, -913674?\n\"Answer: -3*d**2 + 13*d - 913678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by -102*(6 + (8 + -7)*-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + -11 + -2 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 190 + 180. What is the third derivative of 1124*j**3 + 8*j**2 - 1115*j**3 + a*j**2 wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2697, 22231, 75437, 179151, 350209, 605447?\nAnswer: 961701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 806011159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3)\/(c*c**(-1\/4)))\/(c**(2\/11)\/c*c*c\/(((c\/(c**(2\/3)*c))\/c)\/c)*c))\/(c**13*c\/(c\/c**(-9)))**(-1\/21) assuming c is positive.\nAnswer: c**(-4381\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44557 divided by 5.\nAnswer: 44557\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 6. Let i(k) = 603*k + 42. Let w(m) = -10*i(m) - 70*t(m). Let x(q) = -2*q. What is x(w(l))?\nAnswer: 12620*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 542031 - 10?\nAnswer: 542021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.5. Let j = 2 - -1. Let a = j - 2.7. Which is greater: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x + 5*q, 2*x + q + 1 - 5 = 0. Suppose i + 0*i + 143 = 5*u, u - x*i - 40 = 0. Let g(z) = -z**2 - u + 14 + 14. Let s(y) = 4*y. What is s(g(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5 - 2392*n**4 + 24324*n**3 + 2392*n**2 - 24320*n = 0.\nAnswer: -608, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 60, 82, 106, 132, 160, 190?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 1. Let o = 171 - 172. Let m(w) = -3 - 13*w + 6 + 8. Let i(l) = o*m(l) + 3*u(l). What is the first derivative of i(p) wrt p?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 15. Calculate w(10).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304056?\nAnswer: 2, 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89261*c**6 - c**4 - 63727*c**2.\nAnswer: 10711320*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, t: 3, n: 3, m: 1}. What is prob of picking 2 e?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let j = -15 - -18. Let q(a) be the second derivative of -1\/6*a**j + 0*a**2 + 0 - a. Give u(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k - 211 - 41 = -18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 1499*s**2 + 15015*s + 112675\/3.\nAnswer: -(s - 4507)*(s + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3 - 1 - -2) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -12\/5*a**5 + 4 + 0*a + 27\/4*a**4 - 6*a**3 + 3\/2*a**2. Solve s(l) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*i - 4698, -4*i + 3755 = 4*v + i. Let x = -532 + v. Suppose 0 = 8*k - 1176 + x. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/605 and -81\/484?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*b + 197*b + 190*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982\/5 - 3\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -14. Let d = -6.9 + x. Which is the nearest to 0.2? (a) -0.4 (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*y**3 + 36*k*y - 556*k wrt y?\nAnswer: 3*k*y**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33715 - 62733 = 127*k - 33717 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 48548*m\/7 + 291360\/7.\nAnswer: -2*(m - 24280)*(m + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - b = -7*m - 5, b - 5 = -4*m. Suppose 2*o + 4*p - 11200004 = m, -o = 3*p - 6*p - 5599997. Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**3 - y**2 - 36*y + 70. Let a = 1924 + -1130. Calculate the remainder when a is divided by g(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10595 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 225.82 and -803.\nAnswer: -181333.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from nwqfnfvfnvn?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 546620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*j + 45 + 6, -3 = -k + 3*j. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-27 + 48 + 51)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*-352125.\nAnswer: 16549875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-11))\/((-6 - -1) + 78064\/15708)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 8. Let y be (-1)\/(-3) + 4\/6. Calculate the remainder when p(-24) is divided by (-28)\/(-6)*3*y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 + 1694 = d. Let t(q) = -263*q + 89*q - d*q + 6. Let p be t(18). Round p to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/35))\/c**(1\/56)*c**(5\/9)\/c*c*c**(-38) assuming c is positive.\nAnswer: c**(-92101\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6091, -24479, -55129, -98041?\n\"Answer: -6131*l**2 + 5*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 55) + (-6 - 32 - -72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 + -0.46. Let n = 0.12 + d. Let p = 0.4 + -1.4. Sort -5, p, n in decreasing order.\nAnswer: n, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -640 + 639.9. Let h(u) = -u**2 + 5*u + 11. Let q be h(6). What is the nearest to 0.1 in b, q, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i - 80 + 0*i**3 + 1\/6*i**4 + 0*i**2. Factor o(x).\nAnswer: 2*x**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*5)**2*-2.\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -18*p - 2. What are the prime factors of m(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 12. Let a be j(-2). Let h(v) be the third derivative of -1\/240*v**5 + 0*v + 0 + 1\/24*v**3 + 1\/480*v**6 - v**2 - 1\/96*v**a. Factor h(c).\nAnswer: (c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + t + 0 = -1, -2*b - 1 = t. Let n be (-12)\/2 - -6 - -5. Put n, b, -4 in descending order.\nAnswer: n, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321552 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 9, 0, 5, -3, 917.\nAnswer: -3, -1, 0, 5, 7, 9, 917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-12) - 2\/(-3). Let f = 1 + -1.2. Which is the closest to 2\/3? (a) f (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, -630 in decreasing order.\nAnswer: 4, 3, 1, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 2 + 4)*(-21*p - 2 - 7 + 8)*(2*p + p - 4*p)*(-4 + 5 + 2).\nAnswer: -882*p**2 - 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286359929?\nAnswer: 839, 341311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 1278, -4, 4 in decreasing order.\nAnswer: 1278, 13, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 71 = 11*q + 191 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) 4 (c) 5 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 9. Determine l(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 5.12. Let z = j - -9. Let v = 0.1383 + -2.1383. Which is the third smallest value? (a) z (b) v (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5408*s + 2. Let y(b) = 378585*b - 141. Calculate 4*y(a) + 282*z(a).\nAnswer: -10716*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 172800, 345598, 518396, 691194, 863992?\n\"Answer: 172798*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*l - 54664 = -1939*l + 36704 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/18)\/((50\/4)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 50729.7.\nAnswer: -101459.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaooaaaoq. What is prob of sequence oa?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28871.2 millilitres?\nAnswer: 28.8712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(-2))\/j)\/j*j*(j**(1\/6)\/j)\/j)**(1\/5))**23 assuming j is positive.\nAnswer: j**(-391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 781*m + 25 - 54 + m**2 + 781*m.\nAnswer: m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/14)\/((-6)\/(-8)). Calculate the remainder when 2 is divided by 0 - (-2 - (s - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3273 + -2767c?\nAnswer: -2a922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m**4 + 16*m**3 - 6*m**2 - 12*m. Let o(t) = 120*t**4 - 175*t**3 + 65*t**2 + 130*t. Let h(x) = 6*o(x) + 65*y(x). Solve h(u) = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-r**2 - 2*r**2 + 2*r**2 + (2*r - 5*r + 2*r)*(2*r + 0*r - 4*r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4072, -4076, -4080?\n\"Answer: -4*p - 4068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*4\/(-120))\/((-14)\/35)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1950.5234.\nAnswer: -1950.5234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*g + 6 = -254*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 - (2 + (4 - 3)). Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 13, 3 in decreasing order.\nAnswer: 13, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 5*o - 3*y + 25 = -2, 4*o - 4*y = 56 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 + -193 - (1 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 5*o - 2*q + 79, -2*o + 90 = q. What is the highest common factor of 1100 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -610*k - 24. Let j = -78 + 81. Let v be p(j). What is the units digit of v\/(-12) - 9\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/195)\/(186\/4805*-31).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 2*m + 0 + 1\/2*m**3 - m**2 + 1\/12*m**4. Let o be t(-4). Solve o*v - 15 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20\/3, -1, -0.007, -2, -3\/2, 4?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 2*m**2 - 6*m + 4*m**2 + m**3 - 7*m**2 - 85 in the form a*m**3 + h*m + o*m**2 + f and give f.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63630 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 96 + 95*v**3 + 191 + 0*v**2 - v - 96 in the form f*v**2 + i*v**3 + m*v + x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 12*f**2 - 12*f + 13. Let t be c(11). Let o(j) = j - 7*j**t - j. Give o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3886 + -3875.508. Let y = -0.008 - q. Let o = y - -10.49. Which is the closest to -1? (a) 0 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**4 - k**2 - k. Let u(f) = 4*f + 0 - 8 - 20*f - 3*f**3 + 15*f**3. Let d(n) = -4*m(n) + u(n). Suppose d(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(3*f - 2*f + 0*f)*(-434*f - 231*f - 171*f).\nAnswer: 1672*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31990 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 26*q + 5 - 3 to v + g*q and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/90)\/(99\/165)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3 + 4\/7*m**2 - 4\/7 - 2*m = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {f: 1, l: 2, c: 2, a: 1, d: 2, r: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j + f, 15 = 2*j - 5*f - 0*f. Suppose -7*o + 2*o = j. Suppose o = -4*z + 3 + 1. Put 3, 0, z in increasing order.\nAnswer: 0, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216 + -204. Suppose -k*y + 10*y + 898 = 0. What are the prime factors of y?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -4, 18\/119077, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1282, 2107, 3304, 4867, 6790, 9067, 11692, 14659?\n\"Answer: -d**3 + 192*d**2 + 256*d + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 20*t. Let v(r) = -r**3 - 3*r**2 - 6. Let i be v(-5). Let m be (-11)\/i - (-9)\/4. Let h(l) = -3*l**m + 4*l**2 + l**2 - l**2. Calculate h(k(c)).\nAnswer: 400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41135*c + 41130*c + 37 = -4*k, -k - 14*c + 128 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Suppose -b = m*b. Suppose 6*x = 47 - 23. Solve b*n = x*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofdodddffffo. Give prob of sequence fddo.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 12*z**2 - 12*z - 73. Calculate t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3144 (base 5) to base 6\nAnswer: -1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4838 divided by 2419?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 23 = 2*x, 4*h - 30 = -h - 5*x. Let u = 3 + 0. Put u, h, 2 in decreasing order.\nAnswer: h, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 4*d + 4. Suppose 2*w + 7 = -1. Let m(s) = -s**2 - s - 1. Calculate w*m(h) - l(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5641 - -6000. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2982*z - 301185. Determine y(101).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 less than -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384527, 1538115, 3460763, 6152471?\nAnswer: 9613239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -16. Calculate the remainder when 4 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*r + 17, q = -148*r + 143*r - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40453823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.00000214 + -4. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 4018540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22752484, 22752495, 22752506, 22752517?\n\"Answer: 11*x + 22752473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b)\/((b\/(((b\/(b*b*b*b\/(b\/b**(-1\/11))))\/b)\/b))\/b) assuming b is positive.\nAnswer: b**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (10 - (-4 - -10)) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1363 in increasing order.\nAnswer: -1363, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 5330218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 2*b - 8, 4*b + 23 - 30 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 2\/7 (c) -3\/13 (d) 392\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 22738 - 5112. Is 56 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2 + 1\/2. Suppose -3*s + d = -s. What is the remainder when ((-43)\/(-2))\/(s\/4) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 74. Let n be w(-6). List the prime factors of -2 + (6 - (n - -4)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = -4*s - 4*z, -z = 0. Let o be 0\/4 + s + 12. What is the common denominator of -31\/3 and (-35)\/(-25)*o\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 15*s - 30. Let n(c) = -68*c + 22*c + 21*c + 27*c - 5 - c**2. Let r(b) = -b**2 + 4*b - 9. Determine s*r(o) - 5*n(o).\nAnswer: 2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 - 158419120*u**2 + 633676415*u - 475257300 = 0.\nAnswer: 1, 3, 31683820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.2 - 38.2. What is the second smallest value in -0.2, r, 1\/10, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 6. Let r(u) = 1. Suppose 4*h = -3*m, -3*h = 2*h + m. Suppose -o + 1 = -h*o. Determine o*a(l) - 6*r(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**4*s**2 - 701*o**4*s - 2*o**2*s**2 - 1540*o**2 - o*s**2 - o wrt o?\nAnswer: 120*o*s**2 - 16824*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + 0 - (sqrt(48)\/sqrt(4))\/sqrt(6)) + 4 + (-1*sqrt(88)\/sqrt(4) + sqrt(22) - sqrt(22))\/(sqrt(99)*5) + 3)**2.\nAnswer: 826*sqrt(2)\/15 + 17987\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 173*b - 174*b + k + 3, -4*k - 16 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 102*d = 17*d + 11*d + 4664 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146 and -0.038?\nAnswer: 5.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*l - 84*l - 87*l + 2*l**2 as y*l + s*l**2 + c and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*p - 64*p + 30*p)*(-p - 3*p + 5*p - 3 - 2*p + 3 + (0*p + 0*p + 2*p)*(-3 + 0 + 1))*(12 - 26*p - 12)*(0 + 3 - 4).\nAnswer: 11570*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-4 - 21\/(-3)) - -267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48212313 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 20*j**2 - 98*j + 24. Let w be i(12). Let c(t) be the second derivative of w*t**2 - 1\/9*t**3 + 7*t - 2\/9*t**4 + 0. Factor c(p).\nAnswer: -2*p*(4*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -5.8. Let g = 23 + x. What is the nearest to -0.1 in g, 2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 9, 42, 91?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000564002 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 3*r**2 - 3*r**2 + (3 - 3 + 2*r)*(4*r - 4*r - 3*r) - r**2 - 2 + 2 + 0*r**2 + 3*r**2 - 5*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21122001 + 12210?\nAnswer: -21102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/7 and 48\/17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37313?\nAnswer: 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -513 - -23108\/45. Find the common denominator of -93\/50 and q.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 777693800\/56 - 2\/7. Let z = i - 9687389. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 51. Suppose -6*u + 456 + 468 = j. Let v = -25 + u. Is v a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 575 - 574 - (0 - 6 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 - 2 + g**2 + 221*g + 3*g**3 - 226*g - 5*g**2. Calculate n(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/58989795 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/366 and 19\/697405.\nAnswer: 255250230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1192 - 1188. Let p(a) be the second derivative of -7\/12*a**z + 8*a**2 - 15*a + 0*a**3 + 0. What is the first derivative of p(g) wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -14, 1\/3, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -13b?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 + v**2 - v - 6. Let p(i) = -i**3 - 1. Let f = 32 + -483. Let y = f + 450. What is y*m(d) + 6*p(d)?\nAnswer: -d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 d, and 1 u when four letters picked without replacement from ubbuyubdyynuiui.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202002 - 200?\nAnswer: 1201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -482395?\nAnswer: -1447185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0228 - -0.0278. Let k = v + -0.051. Round k to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 2, f: 1, b: 3, l: 1, q: 5}. What is prob of sequence fnfl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -821 divided by -23?\nAnswer: 821\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**3\/3 - 9*k + 20. Suppose -4*l - 2*c = -308, -5*c - 218 = -l - 2*l. What is the remainder when l is divided by b(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020341221 + -10?\nAnswer: -1020341231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2. Let h(v) = -v**3 + 4*v**2 + 7*v + 3. Let n(f) = -f**2 - f - 1. Let o(q) = c*h(q) - 3*n(q). What is the units digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k + 1256527 - 1259335 = 0 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 8. Let b be i(7). Let m be ((-26)\/(-4))\/(b\/(-2)). Suppose 0*k - k - 3*q - m = 0, 0 = 5*k + 4*q + 10. Solve -k*a - 1 - 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 1. Let d(p) = -p**2 + 9. Let u(h) = 3*h**2 - 17. Let o(s) = 7*d(s) + 4*u(s). Suppose 566 = 2*g + 568. Determine g*o(v) - 4*j(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542367 is divided by 74?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.019, -1\/43.\nAnswer: -1\/43, 0.019, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/221 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 18*u**2 - 4*u + 49. Let k be y(-18). Let s = k - 116. Suppose 4*w + 3*v + 2*v = 3168, -s*w - 4*v = -3951. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 285 = -2*o - 0*o, -895 = -3*y - 4*o. Suppose y = z + 4*q, -4*q + 757 = 3*z - 130. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 6*h + 4. Let f(k) = k + 1. Let d = -23 - -27. Let r(p) = d*f(p) - c(p). Find the second derivative of r(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 2. Let u be i(25). Let z = u + 54. Suppose -z*k = -5372 - 1462. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45448 + -44408. Calculate the highest common factor of f and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426a1 (base 11) to base 12\nAnswer: 2babb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*x + x = 9, 4*n = -2*x + 12. Suppose -n*h + 8*h - 5 = 0. Differentiate -o**4 + 3*o**4 + o**2 - o**2 + h with respect to o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(70\/42 + -2). Which is smaller: i or 2\/5391?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmadu. Give prob of sequence ud.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 172*b**2 + 527*b + 3376. What is h(-169)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 - 301*t**2 - 96*t**2.\nAnswer: -432*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1891?\nAnswer: 567.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (2\/8 - (-105)\/12). Let b(j) = -j. Let i(z) = z**2. Let o(n) = b(n) + i(n). Let f be o(-2). Solve m = f*m + k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10610 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/23, -1, -1.2, -8?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4369801, -4369260, -4368359, -4367098, -4365477, -4363496, -4361155?\n\"Answer: 180*f**2 + f - 4369982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -122?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 187\nAnswer: 5\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/11, -1, 21, 1\/2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 520 = -608. Let h(s) = 4*s + 90. Let w be h(t). Factor 12\/7 - 2\/7*c**w + 2\/7*c.\nAnswer: -2*(c - 3)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2296\/210 - 11\/(-165)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 6967.\nAnswer: 97538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 14*k - 23. Suppose -h = 2*h - 219. Calculate the remainder when h is divided by b(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/16 + (-31)\/4. Let k(t) = 2*t**2 + 12*t - 6. Does 13 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 278*t - 274*t, 5*t + z + 18 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4058*j - 3401*j = -329*j + 2837*j - 1136238 for j.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529.3729971 take away 1.1?\nAnswer: 1528.2729971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -15 - 27. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*g - 23 = 93, 4*a - 4*g - 524 = 0. Let t be (30\/(-9))\/(1\/(-3)). Suppose -t*o - a = -12*o. What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wny when three letters picked without replacement from zwyznpzznnzz.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0.1. Let l = -151829\/10 - -15183. Which is the smallest value? (a) 5 (b) 2 (c) l (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 9*d**2 - 13 + (-15*d + 23*d - 26*d)*(5*d - 3*d + 2*d)*(0 + 3 - 1)*(-4 + 0 + 3) to k*d**2 + t*d + w and give k.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -55\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5*c + 5. Let w be z(5). Suppose 0 = 5*r + w - 15. Suppose -i + r*j - 6702 = 0, i + 1854 = 4*j - 4850. What is i rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -21*h**3 - 11\/6*h**4 + 0 + 0*h - 81*h**2. What is the derivative of m(s) wrt s?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 729 - 11849 = 7726. Put x, -1, -2, -3 in decreasing order.\nAnswer: x, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(112) + 1 + -3 + sqrt(112)*-2*-4 + (sqrt(112) - (sqrt(112) + 1*sqrt(112)))*-6*5 + -3)**2*4.\nAnswer: -6240*sqrt(7) + 681504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 19. Let n(a) = -14*a + 96. Let u(m) = 3*n(m) - 16*o(m). What is the derivative of u(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -12, 1\/2, -1, -2, -4883?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**21\/(r**(-12)*r) assuming r is positive.\nAnswer: r**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -33215809\nAnswer: 17\/33215809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 951\/(-63) - (-55 - -40)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 - 125. Suppose x = -3*q + 112, 4*q - 178 = -3*x + n. Suppose -3*h - v = -x - 36, 0 = -5*h - 2*v + 243. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + 0.3. Let z = c - 1.9999991. Round z to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.121542 less than or equal to 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**2 + z**3 + 2*z**2 + z**3 - 2*z**2 + (-z + z - z**2)*(3*z - 2*z - 3*z) - 89 + 89 - 6*z**3 + (0 - 2 + 9)*(0 + 0 + 4*z**3).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292490163 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4388355 - 0.7?\nAnswer: -4388355.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 27*w - 395. What is g(11)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 11 = 5*w, -10 = 33*o - 36*o + 4*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9 + 161735\/(-45). Let h = 3591 + z. What is the common denominator of h and 59\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:25 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-78) + 99\/66.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 145136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o - 1\/4*o**3 - 1\/2*o**2 + 6. Determine a, given that u(a) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 1, f: 1, v: 2, x: 1, z: 1}. What is prob of sequence ufpp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95170 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 4*c - 6*c + (-c + 5*c + c)*((3 - 3 + 1)*(1 + 1 - 1) + 0 - 6 + 3 - 2 + 2 + 3).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5307 + 10032. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*q = 316*q - 32. Let y(n) = n**3 - 8*n**2 - 10*n + 6. Let s be y(9). Put q, 1, -5, s in decreasing order.\nAnswer: q, 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-24)\/(-105)) - (-13)\/((-208)\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 75 - 103 = a, -17*a + 2*f + 22 = 0. Suppose -3*m - 6 = p + 3, 15 = 5*p. Sort a, 3, m.\nAnswer: m, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5739156 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 8*n + 69. Let b be q(5). Let j be (-1)\/2*(1 + -11). Solve -b*f = -3*g + 12, j = g + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 679945088 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 3 - -14 - (1 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 204\/969 - 672\/(-57). Solve -10*c + 5*c = 5*t - 5, 4*t = 4*c + y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.056 + 0.126. Let h = -56 + 56.23. Let d = k + h. What is the closest to -3 in -3, -5, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -21*o - 8. Let f(v) = 20*v + 7. Determine -7*f(r) - 6*l(r).\nAnswer: -14*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7436 divided by -7436.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1088) + 3.\nAnswer: 3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77) + sqrt(77)*-1 + sqrt(77))\/sqrt(11) - sqrt(35)\/sqrt(20))*-2 + -5*(2*(sqrt(7) - (sqrt(567) + -2)) + 1))**2.\nAnswer: -3850*sqrt(7) + 42128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -182*p - 9470. Give b(-52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**3 + s. Let z be 5\/7 - (-4)\/14. What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7027*d**3*p - d**2 + 785*d*p wrt d?\nAnswer: -42162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 16. Let a = t + -21. Let j = 3.0012 + a. What is j rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 148\/52 - 2\/(-13). Suppose 0 = -0*w + 2*w. Suppose -4*j + h*j = -3*u, 3*j - u = w. Put -3, j, 1 in descending order.\nAnswer: 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:48 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 15. Let u be a(-5). Let z(o) = -o + 2. Calculate z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -328, -282, -196, -58, 144?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31 and 29\/1938.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*r - 3*r - 3*n, 4*n = 4*r - 60. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.8 + -2.2. Let s = 19 + q. Let f = 209 - 224. Sort s, f, 3 in descending order.\nAnswer: 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/7)*g*g\/(g*g**(-3\/14)*g*g*g)*g**(-15)\/g**3 assuming g is positive.\nAnswer: g**(-289\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302*i**2 - 450*i + 1254113 wrt i.\nAnswer: 604*i - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and -5248.\nAnswer: -2151.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156) - 2*sqrt(2156)*1)**2 + -1.\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14244600 by 47482.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:01 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/(6\/8 - 0) and ((-2)\/(-4))\/(1\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.59*-1758\nAnswer: 8069.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3023355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let n(o) be the first derivative of 0*o**2 + 0*o**3 + 5*o - 1\/6*o**4 - 3. Let t(b) be the first derivative of n(b). What is t(c(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 407, 31, 1, 5 in descending order.\nAnswer: 407, 31, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 5155*s**3\/3 + 365*s + 8058. Differentiate k(x) with respect to x.\nAnswer: 10310*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 0*n - 4*n + (-4*n - 2*n + 4*n)*(4 - 3 - 3) + 2*n - 10*n - 3*n - 2673 - n + 5*n + 2686.\nAnswer: -5*n + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/120 - w**4\/6 + 5*w**3\/3 + 16*w. Let k(x) be the second derivative of f(x). Let q(l) = 5. What is 3*k(i) + 2*q(i)?\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1808a (base 11) to base 15\nAnswer: 77c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 42372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 17*g**2 + 2844*g - 33413. What is m(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*y - 69 = 0, y - 128 + 30 = 5*z. Let u = z - -23. Suppose 0 = -3*m + 5*m. Solve u*r - 10 - 2 = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 10*a - 1. Give z(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25 + 29)\/(1\/(-6)). Sort f, -3, 5 in increasing order.\nAnswer: f, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.4. Let r = -0.01574 + -4.70326. Let p = 0.281 - r. What is the second biggest value in h, 1.2, p?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) + 145\/(-25). Let p(v) = v**3 + 7*v**2 + 5*v + 4. Calculate the smallest common multiple of p(q) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-46)\/40 - 6\/(-15)). Let z be (s\/12)\/((-156)\/(-126)). Sort -3, z, 0.5 in decreasing order.\nAnswer: z, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 122963432.\nAnswer: -1\/61481716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffwk when four letters picked without replacement from {u: 3, k: 5, f: 2, e: 5, w: 4}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3098 - -3472. Calculate the greatest common factor of c and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 - -197. Let d = -110 + m. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*43\/((-2193)\/(-1326)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22335*x - 1438 = -22054*x - 5605 - 5668 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-27 - (-2156)\/84)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -4 - 1*-3. Let g(i) = 2*i**3 - 4*i**2 - i. Is g(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 5, k: 4}. What is prob of picking 2 g and 1 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 757750 and 93279025?\nAnswer: 932790250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2. Let j be l(-2). Solve -x - 12 = j*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*l + 5, -2*l - p + 5 = 2*l. Let a = 4 + l. What is the greatest common divisor of a and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:05 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1, -5, 2\/1537, 3, 18?\nAnswer: 2\/1537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 - 2*w + 22\/5*w**2 - 8\/5*w**3.\nAnswer: -2*(w - 2)*(w - 1)*(4*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 541 and 19476.\nAnswer: 19476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3836 divided by -72\nAnswer: 959\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*u + 18 + 18. Let y be (-27)\/(3\/u)*(-20)\/(-30). Solve 8 = -4*v - 3*g, -v - y*g + 7 = -3*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - 3*l**2 + l. Let v(m) = 10*m - 8. Let a be v(1). Calculate r(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 76?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*n**3 + 0*n - 2*n + 2*n.\nAnswer: 57*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17418, -34834, -52250, -69666, -87082, -104498?\nAnswer: -121914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 248 - 258 - (0 - (0 + (0 - 0)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:32 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*l = i + 17, -i = 4*l + 13. Suppose i*d - t = 2*d + 45, 3*d - 145 = 5*t. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**3 + 346*r**2 + 74*r + 347. Let p be s(-69). Solve 3*j + 0*j = -p*t + 6, -4*t - 10 = -5*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -229*w - 7800. Determine o(-34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let l = q + -3. Is 38*l*(-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25688?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 = -53*r + 250*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4476369168 and 0.1.\nAnswer: -4476369167.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 272148666691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -0.8421?\nAnswer: 0.016842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g - 8*g - g)*(2 + 1 - 2 + (-2 + 0 + 1)*(-2 + 6 - 2) - 8 - 5 - 5).\nAnswer: 323*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:22 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 5785. Let f(l) = -2279*l + 6850. Let k be f(3). What is the greatest common divisor of x and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -u - 50, 0 = 3*q - 0*u - 2*u + 89. Let t = q + 34. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35569400 rounded to the nearest one hundred thousand?\nAnswer: 35600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 - z. Let b(q) = -3*q**3 + 3*q**2 - 3*q. Let m(x) = 2*b(x) - 7*s(x). Let w(i) = -2*i**3 + i**2 - i. Determine -4*m(p) - 4*w(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 8*u**5 - 326697*u**3 - 322*u**2 - 14515 wrt u?\nAnswer: 240*u**3 - 480*u**2 - 1960182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23499 + -22560. What is the remainder when b is divided by 158?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4\/7 + 4*u**3\/7 + 64*u**2\/7 - 64*u\/7.\nAnswer: -4*u*(u - 4)*(u - 1)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(40)*2)\/(sqrt(24)\/(-2*sqrt(3))))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2 - 2)*(0 + 0 + 2*l) + 4119 + 16096*l**2 - 8033*l**2 - l - 8058*l**2 to f*l**2 + p*l + r and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = 5. Let j = 55 + k. What are the prime factors of (0 + (-1)\/(-3))*j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.35 or 59259?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 662 + -625. What is the remainder when s is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = 33*b + 2*d - 10, 5*d - 5 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*k**2 + 382*k**2 - 246*k**2 + 2*k.\nAnswer: -52*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456 + 546. Solve 86*g - y*g = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 - -1) + 1)*-3. Suppose -p - 75 = -4*u, 4*u - 5*p = u + 52. Let q = g + u. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65.935 - -66. Let b = r - 0.565. Let w be (-2)\/(-1) + (-14)\/(-28). What is the fourth biggest value in b, 4, w, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4448*c - 1232099. Determine t(-277).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14104 in -1, 1, 0, -1445?\nAnswer: -1445","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7701 = -131*j + 4950 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.046615 and 26.\nAnswer: 16.953385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -49*r**4 - 148 + 4*r**3 + 3\/2*r**2 + 0*r. Find the third derivative of z(v) wrt v.\nAnswer: -1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 93*u**2 - 30*u - 105. What are the prime factors of f(-4)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 113034?\nAnswer: -113034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 115 - 22*y - 57)*(-5*y**2 + 2*y**2 + y**2).\nAnswer: 44*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4*z + 8, -4169*f - 3*z = -4178*f - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3000 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713\/1142*4\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**3 - 2481*o**2 - 20042 wrt o.\nAnswer: -12*o**2 - 4962*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 25) + 26 - 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuyyuu. What is prob of picking 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410 + 173*a - a**2 - 377 + 2*a**2 - 173*a to the form l*a + s*a**2 + h and give h.\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 28 = -5*c. What is the smallest common multiple of 20 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916157 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: What is the eighth root of 101767273 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-384)\/3*(-390)\/(-624)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-13 - (10 + 5 + -7 + -35))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3*j**4\/4 - 236*j**3\/3 - 554*j**2 - j + 330. Find the second derivative of c(p) wrt p.\nAnswer: 18*p - 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/988*((-38)\/(-7))\/((-4668)\/(-8169)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*v + 5. Let h(x) = -2*x**2 - x**v + 3*x + 4 - 3*x. Determine h(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*s + 304*s = 90. Put 62, -0.3, s in descending order.\nAnswer: 62, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.609 + -40. Let u = 36.591 + w. What is u rounded to zero dps?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 0.02694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 1, k: 2, e: 2, v: 1, j: 1}. Give prob of picking 1 k and 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -49. Suppose 5*i = 26 - 1. Solve -c - j = -i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676 and 435479876?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l**3 - 24*l**2 + 183*l - 21. What is the thousands digit of j(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 + n. Let a be o(-1). Let k = a + -10. Let u be 44\/10 - k\/(-10). Solve -4*c + 16 = -u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from zbzbbbb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 374\/(-204) + 0 - (-10)\/12. Let k(j) = -1. Let g(f) = -14*f - 12. Suppose -4 = -2*a + 5*r, 2*r - 44 = -a - 2*a. Give a*k(m) + d*g(m).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuw when three letters picked without replacement from uuwwwbu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(11) + -1 - (4 + sqrt(11) + sqrt(44)))**2 + (((sqrt(132) + sqrt(132)*2)\/sqrt(3))\/(sqrt(4) + 3*(sqrt(4) - (sqrt(4)*-2 - sqrt(4) - sqrt(4)))))**2.\nAnswer: -10*sqrt(11) + 9315\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137 - 77 + 130)*(47*i**2 + 6*i**2 - 181*i**2) as w + t*i**2 + o*i and give t.\nAnswer: 10752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86496?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34423 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-3 - (-3 - 0)). Let h be -3 + (-2 + 1 - k). Let c = 5 + -9. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*x**2 - 26*x**2 - 20*x**2 - 45*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -49*x - 2. Let s be (9\/18)\/((1 - 0)\/(-2)). Determine w(s).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000223 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from sppajwjapp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h + 73*h + 549 = -381 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60 - -299?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 1. Let k be i(1). Let g(n) = 3*n**2 + n. Let a be g(k). Solve -2 = a*t - 0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 1\/21, 2, 1, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 3*c**2 + 2*c**2)*(2*c + 0 + 0)*(14 - 8 + 28).\nAnswer: -136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 2*n + n)*(-5*n**3 - n**3 - 2*n + 5*n**3) in the form p*n + q*n**4 + f + d*n**2 + u*n**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -g - 3*b, -g + 74 - 72 = -3*b. Solve -3714 = g*l - 3698 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:07 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000)*-3 + sqrt(30))\/sqrt(10) + 3.\nAnswer: -29*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4, 2*v + 2247 = 4*h - 1577. Suppose x + 9626 = -h. Round x to the nearest 100.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3344383408110 + -19.6.\nAnswer: -3344383408129.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 27*o + 6721. Calculate d(88).\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(0 - 6\/9). Suppose -7*b = -s*b. Suppose 10 = -b*d - 2*d. Let f(v) = v - 2. Give f(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/15*15\/(-35). What is the nearest to k in -2\/19, 0.1, 3\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 36 + 38, -89 = -5*k + 4*x. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/17? (a) -1.7 (b) -0.0023 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 5*w - 38. What is i(0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 39*n**2 - 17*n + 53. List the prime factors of i(4).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-5)\/4) - ((-16)\/68 + (-5180)\/238)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(112))**2 - (-3*sqrt(175) + 1).\nAnswer: -2241 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 47, 1\/3, 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - 1) - (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - 2*d**5 + 4*d**5 + 5*d**5 + 2*d**5 - 5*d**5 + (-4*d**4 + 3*d**4 + 2*d**4)*(2*d - d + d) + 26*d**5 - 681 + 681.\nAnswer: 31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -465 - -459. Let p(y) = -1 - 1 - y + 0*y. Let j be p(d). Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v. Suppose 3*g + 15 = 8*g. Suppose -6 = -g*b + 6. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 + 29 - (0 + -4)) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*d - d, -2*g + d - 9 = 0. What is the second smallest value in -55, -1, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1936 and 184096?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 19*g - 6*g - 6 to the form b + n*g and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53398455871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*v - 2, -2*f = 5*v + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m = 26*m - 114 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/9 - (-14)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from aaddad.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008436133 to 5 dps.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*i**3 - 551*i**3 + 29 - 11 - 2.\nAnswer: -352*i**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169878845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311493 by 39.\nAnswer: 7987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1) + 12 + -6. Solve -b*r = -3*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7326.662cm to kilometers.\nAnswer: 0.07326662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9156 * 11.\nAnswer: 100716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let g(s) be the third derivative of 3*s**5\/10 + s**2 - 9*s. What is g(v(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - -2) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 355, -3, -7, 0, 2, 7 in descending order.\nAnswer: 355, 7, 5, 2, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 6*m. Is k(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51636907559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 + -305.000267. Round o to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + x**3 - 2*x**4 + (2 + 4 - 2)*(-x**3 + 3*x**4 + x**3) - 5*x - 5*x**4 + 5*x.\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(((c*c**10)\/c)\/c))\/(c\/c**(-37)) assuming c is positive.\nAnswer: c**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*m = 3*t + 14, -3*t = 3*m - 3. Let g be t\/(-10)*(-35)\/1029*-7. Which is the nearest to -1? (a) g (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -695311 - -4?\nAnswer: -695309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 8. Differentiate -4*w - 1 + 0*w - f wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbnbn. Give prob of picking 2 b and 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*l + 2*l - 2*d, d = -l - 1. Let b be l - 2\/(((-7)\/2)\/7). Solve 0*c + c - 13 = 5*a, a + b*c - 7 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -122. What is the smallest common multiple of 10 and s?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2324 divided by 166.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -417*v**5 - 2*v + 167 wrt v?\nAnswer: -8340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x + 7 - 69*x - 4 + 38*x.\nAnswer: -70*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1926 + 4041. Suppose -5*i - p = u, 3 = 2*p + 13. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 7*t - 2*t + 7*t + (0 - 2 + 0)*(-3*t + 4*t - 4*t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 2*c, 4*c - 5*z = -0*z - 41. What is the tens digit of 0\/(c\/(-4)) - -136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g - 3. Let h(o) = 1. Let n(k) = -2*h(k) + u(k). Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z - 5*z - 3 - 6*z + 2*z. Give b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 2. Let n be p(5). Let m(h) = 0*h - n*h - 9*h - 7*h + 7. Does 32 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 16) to base 12\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = a - 1280, -y - 160 = -4*a - 782. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*x**4 - 5*x**4 + 8*x**4 - 5*x**4 - x**4 + 3*x**4 + (x + x**3 - x)*(5 - 5 - x) + (-4*x**3 - 3*x**3 + 6*x**3)*(3*x + x + 0*x).\nAnswer: 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530345 to the power of 1\/2, to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 175 - 2?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9922 = -356*q - 95*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10627 - x + x + 12205 - 5*x**2 to the form b + d*x**2 + c*x and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 58 = -28. Sort z, 4, 370 in descending order.\nAnswer: 370, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x + 12 = -27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in 2\/5, 4, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319074 is divided by 165646.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1948, 5 in descending order.\nAnswer: 5, 3, -1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 569270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44433 (base 5) to base 4.\nAnswer: -300232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m - 8. Let p be (1\/(-1))\/(-6 - m). Let v = 8 - 8.4. Put v, p, 0 in decreasing order.\nAnswer: p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 320?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, z: 1}. Give prob of sequence oz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10053205, -10053202, -10053199, -10053196, -10053193, -10053190?\nAnswer: -10053187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19159 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104548, 209098, 313648?\n\"Answer: 104550*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.48779 + -0.03066\nAnswer: -0.51845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.5. Let u = -343 - -343.3. What is the nearest to 0.1 in k, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.31, -5, 2\/11 in decreasing order.\nAnswer: 2\/11, -0.31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r - 3*p - 23 = 0, 5*r + 3*p = -115. Is r < -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 11, k: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2516)\/85*2\/((-8)\/110). Let d = c - 557. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.5 (b) -2\/7 (c) 6\/151457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-109)\/15 - 6. Let i = -95563841\/210 - -455067. Let l = r + i. Calculate the common denominator of 47\/8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-12) - (88\/6 - -1) and 17\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -19*t - 34, 51*x = -2*t + 52*x - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3487 (base 9) to base 10\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36872 or -36869?\nAnswer: -36869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3622 + 3740. Put 0, p, -21 in ascending order.\nAnswer: -21, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 20667*p**2 + 6*p + 247 wrt p.\nAnswer: -12*p**2 + 41334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 433 (b) 0 (c) 4 (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45542.\nAnswer: 2, 7, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - p = -5*p - 4, 3*p - p + 20 = 19*u - 23*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40624 divided by 5078\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b - 163 - 2496 - 523 = 0 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = -31*o. Factor -4\/7*l**3 + 0*l**2 + 4\/7*l + o.\nAnswer: -4*l*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18554895 is divided by 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 792 + 353 - 105*j + 114*j - 402*j - 432*j wrt j?\nAnswer: -825","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -55*k - 1118. Give r(-29).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a factor of 32164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 18*g**2 - 9*g + 1439. Calculate w(-18).\nAnswer: 1601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-18))*(1680\/(-120))\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2611)\/175 + (-3 - -14) + 4.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 18*o**2 + 30*o - 14. Let r be a(-6). Find the first derivative of r - 178 + 89*n + 142*n wrt n.\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Let z(u) = u**2 + 7*u + 1. Let x be z(-6). Let h be i(x). Let p = 2 - -1. Solve -h*v + p - 18 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.037*1.758.\nAnswer: 0.065046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57.84376 centuries?\nAnswer: 578.4376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15169 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04869 + -1.95131. Which is the third biggest value? (a) p (b) -75 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 21. Let v be w(-7). Suppose 2*m = -p + 5, 0 = -p - 4*m + 1 + 4. Factor v + p*z**2 + 10*z + 2 - 4.\nAnswer: 5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 63 = -2*b. Suppose -2*k = 3*k - b. Let o = 57 - k. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + ((-4*sqrt(704) - sqrt(704))**2 - -3*sqrt(44)\/sqrt(4) - (0 + (sqrt(11) + sqrt(121)\/(-2*sqrt(11)))*3)**2)).\nAnswer: -70293\/4 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 1 p when three letters picked without replacement from {d: 1, c: 1, s: 1, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.155 (b) -1844 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1068739454 times 0.1\nAnswer: -106873945.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 5 - 5)*(-1 + 0 + 5) - 2*h + 1 - 1)*(-2 + 0 + 0).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1383*w. Let m(c) = 4*c**2. Calculate m(o(i)).\nAnswer: 7650756*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let i = -0.4362 - 0.0439. Let m = i + -0.0199. What is the nearest to j in -0.1, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19022.79 grams to tonnes.\nAnswer: 0.01902279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 343 - 186. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15202 - 10919. Is z a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/(-20))\/((-9)\/24)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.1 + 83.6. Let j = x - -1.5. Let h = 76 - j. Which is the closest to -1? (a) h (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148806 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21510458 less than or equal to 21510459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a + 1173 = 481 + 78 - 5694 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = d - 316. Calculate the greatest common factor of 1040 and d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 141 = 3*s, 4*s + 2*d - 5*d + 163 = 0. Let z = s + 25. Let y = 43 + z. Solve 4*a - 2*a + y = 3*m, -4*m - 4*a = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 101. Let w = 24558 - 24370. Let l = w + b. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5571099660.7 - -5269282086. Let c = n + 301817437.7000079. Let f = 137 + c. Round f to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5891631.\nAnswer: 3, 1963877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/120 + 13*m**5\/60 - m**4\/6 - 25*m**3\/3 - 67*m**2. Let s be k(-13). Solve 2*n = -0 + s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*j**3 - 963*j**2 - 18672*j - 4608 = 0. Calculate j.\nAnswer: -48, -32, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.137 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 7:52 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 1501 = -956. Let n = -94 + 30. Let z = f + n. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 0.03, -288?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -558\/133 or -4?\nAnswer: -558\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51025809.\nAnswer: 3, 17008603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 267.4 (b) 0.012 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 10*l - 20. Let w be d(-9). Is w at most as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 234, 293, 354, 417, 482?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -84*g**3 - g**2 + g + 2. Let m be o(-1). Let h = 198 - m. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**5\/30 + k**4 - 12*k**3 - 16*k**2 + 13. Let n(i) be the second derivative of j(i). Factor n(b).\nAnswer: -2*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132497552 and 3296.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 - 95. Suppose s*a = 13*a. Solve -3*b = -a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 17*z - 32. Let u be b(5). What is the greatest common divisor of 53 and u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-182)\/(-108)) + (2100\/325)\/(-21). Find c, given that 4\/7*c + 0 + x*c**3 + 6\/7*c**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d**3 + 4731*d**2 + 42165*d + 95634 = 0 for d.\nAnswer: -69, -6, -77\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 9*v**2 + 2. Let n be y(-9). Suppose 2*s = 3*u - 12, -n*s - s + 4 = u. Find g, given that 1\/2*g**3 + 0 + 1\/2*g**5 + s*g**2 + 0*g - g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7356668 = -2058*p + 2102*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 78. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 827355 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102361 is divided by 2758?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*q - 22103 = 74*q. What is the remainder when q is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -104, -132, -166, -206, -252?\n\"Answer: -3*w**2 - 13*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghehehwehgg. What is prob of sequence wg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 - 154952*j**4 - 1499082000*j**3 + 30040705672*j**2 - 28541468716*j = 0.\nAnswer: -19379, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*210\/45?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6, 0*a + a = -4*i + 12. Suppose a = 2*n - n - 42. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*y = 60, 5*y + 60 = 2*m + 3*m. What is the remainder when m is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q + 0*q)*(1 + 0 + 7) + (2 + 0 + 1)*(3*q + 1 - 1) + 0*q + 0*q - q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j + 25. Suppose -4 = 3*f + 2. Let b = 101 - 99. Let c(a) = a + 5 - 7 - 4 - 6*a + b*a. What is f*h(v) - 9*c(v)?\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 45.99999592. What is w rounded to seven decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5\/5 - 44448*u**4 + 666744*u**3\/5 - 666752*u**2\/5 + 222252*u\/5.\nAnswer: -4*u*(u - 1)**3*(u + 55563)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/126 and -103\/228.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769580537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 106*l**3 + 10*l**2 + 500*l + 488. Give u(-1).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**7\/42 + a**3\/6 + 3*a - 2. Let j(h) be the first derivative of c(h). Find the second derivative of j(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**1)\/s*(((s**(2\/3)\/s)\/s)\/s)\/s*s)\/(((s\/s**(-3\/7))\/s)\/s**6))**(-32) assuming s is positive.\nAnswer: s**(-3520\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72303742 by -72303742.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 105583?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 4)*5 - 1. Let b(n) be the first derivative of -7 - 1\/10*n**a - 4\/15*n**3 + 0*n - 1\/5*n**2. Factor b(f).\nAnswer: -2*f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/11)\/(1860\/(-13640)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 7 + 5*m**4 + 42*m + 0*m**3 + 1\/2*m**2. What is the derivative of w(q) wrt q?\nAnswer: 60*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**7\/840 - 11*b**6\/360 + 7*b**4\/12 + 7*b**3\/2 - 13*b. Let c(w) be the second derivative of h(w). Does 3 divide c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 - -411?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 8*z**2 - 690 - 692 - 30*z**2 + 1383. What is i(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -124. What is the common denominator of ((-71)\/(-2))\/(20\/x) and 76\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22321.532 - -88.7.\nAnswer: -22232.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5066 and -173.13221759?\nAnswer: 4892.86778241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.8 + -6.9. Let z = -4 + 11. What is the closest to u in -0.4, -2, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = -5*m - 4*p, 7*m = 3*m + 3*p - 668. Let x = -259 - m. Let f be ((-1)\/3)\/(-1 + x\/(-96)). Solve 15 = 5*n - f*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 - -1 - 1304\/88. Let p = 0.05 - 0.07. Let m = p + 0.32. Does m = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 2*f**2 + 3*f + 3. What is the remainder when 187\/5 - (-4)\/(-10) is divided by o(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 3. Let i(q) = 0*q - 89 + 88 - q. Let b(w) = -2*w**3 - 13*w**2 + 4*w - 10. Let u be b(-7). Calculate u*i(c) - 4*x(c).\nAnswer: 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -62. Let t = p - -61. What is the highest common factor of 63 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -19*h - i + 46733441, 4*i = -3*h + 46733438. Let o = -7706814 + h. What is o rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -35, -80, -163, -296, -491?\n\"Answer: -2*q**3 - q**2 - 2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -615*i**3 - 43655*i**2 + 16070660*i - 261300 = 0.\nAnswer: -201, 2\/123, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 13 = -15. Let x(p) = 4*p + 4. Let a be x(w). Let t be (4 - (-68)\/a)\/(2\/(-6)). Solve -2*o - h = 2*h + 10, -4*o - t*h - 18 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from fflmfmfsmffmmfmmff.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 o when three letters picked without replacement from ggoagogqqagqdqaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8308882 by -2.\nAnswer: -4154441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17971605 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkimjiiijjjkijujujjp. Give prob of picking 1 m and 3 i.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260603 (base 7) in base 6?\nAnswer: 1011405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 - (3\/(-1) - -1). What is the tens digit of 1\/(29\/j + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (415 + -424)\/((1 - 1) + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/3 + 14\/42. Solve -o + i - 7 = 0, -l*i + 26 = -0*o - 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17608930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -87*i**2. Let g(d) = 52153*d. Calculate g(p(m)).\nAnswer: -4537311*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + 9 + (-15 - 1 - -25))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4, 5*y - 228 + 207 = 2*i. Solve 7 = -y*h + 4*m, -2*h = -h - 4*m + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - 104\/(-24). Suppose -3*p + 3*b + 156 = -0*b, -s*b = -3*p + 153. What is the remainder when p is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2643 - 5.2643. What is the closest to 0 in p, 14, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 734665789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 764, 62 in increasing order.\nAnswer: -60, 62, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6*t - 3576 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114381229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4611, -11570, -23167, -39402?\nAnswer: -60275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 2*q + 3. Suppose 5*x + 8 = 9*x. Suppose 17 = -2*h + x*c + 3, 4*h - 5*c + 33 = 0. Calculate w(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, 7, 19, 57, 133, 259, 447?\n\"Answer: 2*v**3 - 5*v**2 - v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in 3, 0, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + 2*n**2)*(-2*n**2 + 5*n**2 - 4*n**2) + (-n**3 - 2*n + 2*n)*(n + 2*n - n) + 10*n**4 + n**4 + n**4 + 67*n**4 - 460*n**2 + 460*n**2.\nAnswer: 75*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.74 * -0.00122.\nAnswer: -0.0009028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 268290000 rounded to the nearest 1000000?\nAnswer: 268000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125 + -11?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.4, -0.1, 1\/9, -1\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:15 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(t**2 - 3*t**2 + 0*t**2) - 4*t**2 - 3*t**2 + 6*t**2 + 2*t**2 + 6*t**2 - 7 - 9*t**2.\nAnswer: 4*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/210*-12)\/(-1). Let j be (0 + (-3)\/(-39))*-2. Let w = -1 - 0. What is the nearest to w in j, l, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsssssvbv. Give prob of picking 2 b, 1 s, and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.269 - -5.269. What is the fifth smallest value in l, 1\/7, -0.31, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150739609.\nAnswer: 150739609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/(o**(-1\/4)*o))\/((o**(-2\/3)\/o)\/o)**(-10\/9) assuming o is positive.\nAnswer: o**(-1373\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -252\/72803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1104.67 - -1099. Let r = q + 5.87. Let c = 9 - 4. What is the third biggest value in 4, c, 6, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.202 - -4.598. Let n = a - 6. What is the closest to -3 in -4\/7, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -358 + 371. What is the highest common divisor of 2353 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*b + 9946, -b - 39 = 2*u - 3356. List the prime factors of b.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64464689.\nAnswer: 83, 776683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/8*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1333457633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17343 or 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from bbwbbbbwwbbbbw.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + r + 20 = 0, 0*n - 3*r = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 4*k = 42. Suppose 6 - k = -5*h. Factor p**3 + p**3 + p**4 - p**h.\nAnswer: p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5263248 or 31579495\/6?\nAnswer: 31579495\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(891) + -3*(sqrt(12) - sqrt(48)\/sqrt(4)))\/(((2*sqrt(2904) - sqrt(2904) - sqrt(2904)) + sqrt(2904))\/(sqrt(96) + sqrt(96)*2 + sqrt(96))).\nAnswer: 16*sqrt(3)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-20)\/(-6))*(-945)\/(-30). What is the greatest common divisor of 3801 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.598?\nAnswer: -1.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuuhhhuuuehhuuee. What is prob of picking 1 e and 1 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 154, 251, 364, 499, 662, 859?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -179411685, -179411684, -179411683?\n\"Answer: h - 179411686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 3. Let w be m(4). Let u be -4*((-285)\/(-80))\/((-4)\/(-16)). Let t be 165\/(-198) + u\/(-54). Which is the closest to w? (a) -1\/5 (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, -255 in descending order.\nAnswer: 3, -1, -5, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 141*a - 476 = -26*a. Put 1, a, 4, -5, -3 in decreasing order.\nAnswer: 4, 1, -3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:23 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 228, 483, 764, 1071?\n\"Answer: 13*j**2 + 216*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -622, -146, 4, -4 in descending order.\nAnswer: 4, -4, -146, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**2 - r - 3. Let i(n) = -1620*n**2 - 162*n - 486. Let z(k) = -5*i(k) + 810*m(k). Let o(t) = -t. Determine z(o(p)).\nAnswer: 1620*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1229 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -d + 6*d + 4*g, -d = 3*g - 49. Let i = 23 - d. Let z be -2 + (-1 - 1 - i). Solve -2*t + 0*t + y = 5, -3*t + 5*y = -z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 = -2*i, 193*k + 8 = 195*k - 2*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(1\/(-3)). What is the smallest value in h, -1\/10, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 29*a**4\/12 + 16*a**3 + 214*a**2. What is the derivative of t(l) wrt l?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15. Suppose z = 7*n - 5*n. Which is the nearest to n? (a) 3\/8 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5*y**2 + 7*y**2 - 3*y)*(-1 + 1 - 2).\nAnswer: -4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591830221.\nAnswer: 19, 31148959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -11 - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 495, 1031, 1569, 2109?\n\"Answer: m**2 + 533*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/32 - 14\/(-8)) + -54. Calculate the remainder when 98 is divided by (n\/(-39))\/(1\/15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 10*s**2 + 5. Let i be 4*1 + 7 + -9. Suppose 3*w + 32 = 2*x, -x - 1 = -i*x. Let a be b(w). Solve 4*l + 1 = a*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.9 - -76. Which is the third smallest value? (a) 4 (b) -2\/13 (c) j (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3181 by -246069.\nAnswer: -3181\/246069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247824 or 247645?\nAnswer: 247645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-36) - (-1)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -9. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 6. Let l be 1\/((3\/12)\/(30\/24)). Let j be b(l). What is the third smallest value in j, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182 + 185. Let s(n) = n**3 + 3*n**2 - 14*n + 3. Calculate the lowest common multiple of s(t) and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 15*m - 6. Let c be w(15). Let a = -4 - c. Calculate the remainder when 7 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 777, 776, 775?\n\"Answer: -j + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose 5*y = 7 - d. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fttoeoetfteooef. What is prob of picking 2 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*m + 676, 0 = 2*t + 5*m - 88 - 238. Calculate the remainder when 9910 is divided by t.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 10512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43534 * -0.3\nAnswer: -13060.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -15?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykekyeekkckceekqqey. What is prob of picking 2 k?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -0.1 (c) 4\/5 (d) 5 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -313, 7, 1, 89 in descending order.\nAnswer: 89, 7, 1, 0, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1186*d - 155370. Let l be v(-131). Let w(n) = -n**2 + 6*n + 7. Let t be 56\/4*1\/2. Let q be w(t). Sort 4, 6, q, l in increasing order.\nAnswer: l, q, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + -0.8. Let r be (-30)\/(-5) - 10 - (-4 - -1). Which is the nearest to x? (a) r (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -30982?\nAnswer: -30982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/3)))**(5\/6)*k\/(k\/(((k\/(k*(k**(2\/5)*k)\/k))\/k)\/k))*((k\/(k*k**(1\/5)*k)*k*k)\/k)\/k assuming k is positive.\nAnswer: k**(-349\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/9 - l**3\/3 - 13*l**2\/9 + 5*l\/3 = 0?\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -8. Let u be (-6)\/5*((-220)\/q)\/(-11). Suppose -2*j + 66 = a - 23, u*j + a - 131 = 0. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074354783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-5)\/(-2)) + 2. Let u be (1 - t) + (-88)\/(-11). Suppose -u - 21 = -3*y. Solve -6*g + g = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2 - 10\/(-4)). Suppose -5*p - 3*o = -123, o - 15 = -p - 2*o. Let t = p + v. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.289331 millilitres in litres?\nAnswer: 0.009289331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5621 and 1463?\nAnswer: 106799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 + t - 2. Let k be l(4). Let i be 331\/6 + 5\/k. What is the highest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*f**3 + 9\/5*f**2 + 9\/5*f + 3\/5 = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.078 and -556?\nAnswer: -43.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*n - 163 + 2458*n + 163.\nAnswer: 2335*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**(-3\/13))**34 assuming v is positive.\nAnswer: v**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4 + 45590*y**3 + 10377084*y**2 + 653665960*y + 7242590768 = 0.\nAnswer: -106, -14, 23021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -13)*-1 - (-19)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 4*l + 352. Let p = -77 + l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 5799*x**3 - 3 - x**4 + 5809*x**3 - 2*x**2 + 4 + 0*x as o + l*x**4 + c*x**2 + m*x + v*x**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -1703?\nAnswer: -47684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 4, 1, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 - 5*j - 2. Let n(v) = -3*v - 6. Let m be n(-4). Let i(s) = s**3 - 4. Determine m*p(r) - 7*i(r).\nAnswer: -r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 + 48*j + 31. Is a(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 7. Let g be i(-5). Let y(j) = -4*j. Let k(a) = -4*a. Let z(b) = -3*b. Let r(n) = -4*k(n) + 5*z(n). Calculate g*r(q) + y(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4 - 66685*x + 133396*x - 66710*x. Suppose -2*a = -3*c + 3*a + 7, -3*c - 5*a = 43. Let q(g) = -3. Give c*q(v) - 4*i(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1626? (a) -0.01 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16420285.\nAnswer: 5, 7, 61, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:09 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -239, 0, 1, 7, -49 in decreasing order.\nAnswer: 7, 6, 1, 0, -49, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6051.70572 to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 52\/(-13) - (-1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24*g = -26*g - 884, -3*p = -4*g + 663. Let y = 552 + p. List the prime factors of y.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 47847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u**2 + 6. Let c(i) = -18*i**2 + 7. Let y(o) = -6*c(o) + 7*w(o). Let b(r) = 3*r + 2*r - r**2 - 5*r. Calculate b(y(m)).\nAnswer: -121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-7) - (-556)\/140. Let y = -26\/7 + s. What is the second smallest value in 1\/5, -7, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 46\/14)\/(1\/7). Which is the closest to 2\/3? (a) o (b) 1\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/8)*j*j\/(j\/j**(-4)))**4 assuming j is positive.\nAnswer: j**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -120. Which is the biggest value? (a) -2\/3 (b) 0 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2192090 + -6612090. Round m to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.2 + -24. Let g = 29.2 - k. Let i = 22.7 - g. Sort i, -5, 0.4 in descending order.\nAnswer: 0.4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8057 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6394 + -2279. Let t = g - 41101\/10. Let a = -2689\/30 + 1184\/15. What is the common denominator of a and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1320\/(-16)*(-8)\/(-6). Let k = m - -112. Let d be (k + 2 + -4)*2\/4. Solve d = -f + 1 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + o = -l + 183, 764*l - 3*o - 147 = 387*l + 386*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 + 7 = 0, 4*u - 8 = -2*n. Suppose 5 = -6*y + y. Sort n, 5, y.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 21 = 1, -108*z + 111*z - 34 = -4*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 73*m + 411. Determine v(65).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*k**3 - 635*k**2 + 56*k**3 + 635*k**2 + 84*k**3 - 194*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/16976?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*g + 194042015 = -28*g + 103*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7296.2?\nAnswer: -7296.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -165 in 14, -4, 3, 0.3, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13153, -52977, -119345, -212251, -331689?\n\"Answer: s**3 - 13278*s**2 + 3*s + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + -33. Let l = t - -56. Let i(o) = -o**3 + o + 10. What is the lowest common multiple of i(0) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 10*g**2 - g + 10. Let p be x(10). Which is the closest to 0.2? (a) p (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*i - 20889, -4*z + i = 4*i + 27852. Suppose 4*g + 327 = -5*x - 338, 0 = 2*g - 10. Let r = z + x. What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36875424 is divided by 107.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*k + 55, 2*k + 22 = z + z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79191796?\nAnswer: 2, 311, 63659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027111 to five decimal places.\nAnswer: 0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 255256 (base 8) to base 11\nAnswer: 60752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 127\/30 - 108\/(-180) - 4. What is the biggest value in 11, -1\/3, u?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 12*c - 7. Let v be m(11). Solve -3 = v*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 8 = 3*z - 110, 5*p = 15. Is 29 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4702536 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, t: 1, a: 3, n: 2, v: 2}. What is prob of picking 1 a and 2 k?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2656667 years in centuries?\nAnswer: 0.002656667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119633*a**4*w + 2*a**2*w**2 + 1923*w**2 + 3*w + 6 with respect to a.\nAnswer: -478532*a**3*w + 4*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 2*o + 16)*(-1 + 1 - 2*o + (-1 + 1 - 2*o)*(0 - 2 + 4) - 1 + 1 + o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 + -318. Let k = -29 + 50. What is the remainder when k is divided by (9 - -3) + (-1)\/(8\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125455141.\nAnswer: 7, 353, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19716.7509 rounded to zero dps?\nAnswer: -19717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 32. Let f(x) = x + 11. Let k(p) = p**3 - 93*p**2 + 95*p - 273. Let d be k(92). Calculate d*j(h) - 8*f(h).\nAnswer: h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 15 - 7*x**2 + 3*x**3 + 0*x**3.\nAnswer: 3*x**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*z + 701, 4*z + 0*z + 482 = 2*j. List the prime factors of j.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177675 + (8 - ((-24)\/(-4) + 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6. Let b = -1070832\/95 + 11272. Is b equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555348986?\nAnswer: 2, 3, 28802759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -271\/25 (c) -7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 45. Calculate the common denominator of x\/42*2\/(-3) and ((-396)\/90 + 5)\/(16\/70).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 2 (c) -1\/246 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3024 + 3670 - 646 - 7*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k**2 + 4*k + 24. Let f be n(-7). Let s = f - -1708. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 + 790 = -15*t + 386 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5 - 11. Let b(y) be the second derivative of 3*y**4\/4 - 5*y**2\/2 + 2*y. Let k(z) = -14*z**2 + 8. Calculate p*b(d) + 5*k(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180611?\nAnswer: 3, 233, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 658*m. Let i(w) = -w**2 + w - 2. Let q(h) = -8*h**2 + 5*h - 10. Let s(d) = 5*i(d) - q(d). Calculate s(c(b)).\nAnswer: 1298892*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 42861000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 51150, 0.026, -0.2?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -187, -193, -209, -241, -295, -377?\n\"Answer: -j**3 + j**2 - 2*j - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 6. Which is greater: f or 2\/37?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m, -4*m = 3*k - k - 128. Let b be 10\/k - (-12146)\/(-12). Let x = b - -1703. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-22))\/(5 - (-27)\/(-6)). Put m, 0.4, -4, 0.2 in decreasing order.\nAnswer: 0.4, 0.2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:17 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 2123, 7036, 16575, 32282?\nAnswer: 55699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 33, -5, -35 in descending order.\nAnswer: 33, 1, -1, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*a + 61*a + 51*a)*(-a + 0*a - a)*(-10*a**2 - a**2 - 8*a**2) to the form p + f*a**4 + s*a + l*a**2 + u*a**3 and give f.\nAnswer: 4902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 8. Suppose 5*v + 1130 = y + 23, 5*v + 25 = 0. Suppose -y = -h*n + 2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178.862 + 180.862. Let t = 3 + -3.2. Which is the closest to t? (a) -0.8 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 2 + (-1 + -8 - 3) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/2, -11, 1, 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, e: 3, k: 8, q: 1, x: 4}. What is prob of picking 1 i, 1 q, and 1 e?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 12*x - 8. Determine q(-10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -760874 <= -760876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115371 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: Simplify ((b*b*b*b**(-1\/2))**17)**(8\/9) assuming b is positive.\nAnswer: b**(340\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -181*x**8\/28 + x**5\/60 - 32*x**3\/3 - 2*x**2 + 770. What is the third derivative of s(l) wrt l?\nAnswer: -130320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4644239000 rounded to the nearest one million?\nAnswer: -4644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(2\/23)))\/(y\/(y\/((((y\/(y\/(y**8*y)))\/y)\/y)\/y)*y)))**(-2\/43))**(-2\/41) assuming y is positive.\nAnswer: y**(-468\/40549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8710591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1313 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -28*p**3 - p**2 - 2*p - 2. Suppose -u = -6*u - 25, 0 = -2*d - 5*u - 23. Let s be -3 + (2 - 0)\/d. What is the units digit of j(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4457326087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 24*m**2 + 23*m + 30. What is k(25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395\/13 at least as big as 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 - 2. Let m(u) = u**3 + 3*u**2 - 4*u - 2. Let p be m(-4). Calculate the remainder when q(p) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590611*p**4 - 9*p**3 + 9408115*p**2?\nAnswer: -14174664*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 4, y: 2}. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2718 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 19*b = -32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.175*-1217.2\nAnswer: 213.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195 and 150.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3787*b**3*x**2 + 11*b**3*x - 11*b**3 + 2*b**2*x**2 + 2*b**2 + 2*b*x**2 + 12*b*x wrt x.\nAnswer: -7574*b**3 + 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -3, -3\/8, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 5*k**2 - 4. Let m be a(-5). Let y be (-2 - m) + (2 - 0). Suppose y*q = -q. Solve -4*z + q = 4*f + 12, 3*z + 4 = 2*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t. Let a = 11 - 13. Let q(l) be the second derivative of l**3\/6 + 35*l. Give a*m(r) - 6*q(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25.632 - 0.2\nAnswer: -25.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = -x, 7*x - 4*x - 33 = -n. Suppose -x = -6*h + 5*h. Suppose -2*w = -48 + h. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/18 and (1\/4)\/((-1)\/(-27)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 28. Determine v(-19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3 + 3*s + 5 - 3 + s**3 + 14*s**2 - 10*s**2. Suppose 2*i = -3*a - a + 20, -2 = 3*i - 2*a. What is the remainder when k(-3) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3130, -3127, -3124?\n\"Answer: 3*v - 3133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*o = -259, -3*o + 5*o = 2. Suppose l - y = -3*l. Suppose -19 = -d + l. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -311?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195 take away 20418.3?\nAnswer: -20418.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 5}. Give prob of picking 2 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487024349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 413 = 3*q, 0 = q - u + 35 + 112. Let c be (-2028)\/q*(-2)\/(-4). Is 7 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -10b?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 33 - (0 + 46 + (113 - 117)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 6*r + 7. Let q be l(-5). Let y(v) = 5*v - 2*v - q*v + 1. List the prime factors of y(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525772533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(5) + sqrt(3)) + (2*sqrt(3) + -5)*-1)**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143430246 divided by 6?\nAnswer: 23905041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 + 7*x - 3. What is k(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 5.\nAnswer: -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i - 8. Let h(d) = 3*d + 7. Let n(b) = -5*h(b) - 4*z(b). Let j be n(7). Factor -7*m**j + 21*m**5 + m**4 - 5*m**3 - 23*m**5 + m**3.\nAnswer: -2*m**3*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235522525412 + -1?\nAnswer: 235522525411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4056, -7911, -10388, -10797, -8448, -2651, 7284, 22047?\nAnswer: 42328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 35. Let b(n) = -n**3 + 8*n**2 - 10*n - 10. Let j be b(t). Let l be (1 - 7)*j\/(-12). What is the third biggest value in -3, l, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -173638 - -12?\nAnswer: -173626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/350 and 13\/((-3549)\/247) - 1?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**3 + 10*k. Let c(t) = -t**3 + t. Let b(p) = 2*c(p) - r(p). Find the second derivative of b(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 49112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.13, 0 in descending order.\nAnswer: 0.13, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -2)\/(6\/(-5)). Let m = -1\/499 + 2005\/4491. Let o = -3.1 - -3. Which is the closest to o? (a) m (b) -7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/137, -0.5, 1\/4, -0.2, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 12215*s - 12201*s + 102, -4*y = 4*s + 152 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5 + 1*sqrt(108) - (sqrt(108) + 0 + 0))**2 - (1*(3*sqrt(108)*2 - sqrt(108)))**2) + -4.\nAnswer: -2674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39272 != 55471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -203493.\nAnswer: 61047.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -516940950*q**5 + q**3*s**3 + 2*q**2*s**2 + 5*q**2*s - 903*q*s**3 - 374*s**3 - 3 wrt q.\nAnswer: -31016457000*q**2 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = -2*m, 0*o + 3*m + 21 = 2*o. Suppose -298*i + 4 = -296*i. Let -1\/2*w + 1\/2*w**i - 1\/2 + 1\/2*w**o = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30881*c**3*x + 65*c*s**3*x**2 + 31*s**3*x + 7177*s**3 - 5*s*x**2 with respect to c.\nAnswer: -92643*c**2*x + 65*s**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -28. Suppose 0 = 2*z - 7*z + 55. Let a = -7 + z. What is the greatest common factor of a and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 2, v: 8, w: 2}. Give prob of picking 1 l, 1 v, and 2 f.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(108\/810 + (-7)\/165)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 87 - (-416 + 126 + 247).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 274 - 0?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 24, 66, 142, 264?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2 + 20*r - 165. Give d(-11).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 5*n - 5*i, -n + i - 3*i + 59 = 0. Let v = n + -24. Suppose -v*g - 200 = -40*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 28 = 27. Let f = 17 + c. Suppose 2*l + 8 = f*l. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i - 11. Let u(t) = 8*t - 12. Let d(q) = -3*u(q) + 4*x(q). Let a be d(6). Let o = a + -7. What is the least common multiple of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/13)*y)\/y*y*y*y\/y**(-2\/75)*y*y*y)\/(y**(-3))**(-9) assuming y is positive.\nAnswer: y**(-20749\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(4) - -3*sqrt(4)))**2 - sqrt(13) - (-2 + sqrt(1053))**2.\nAnswer: -16899\/16 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 676*m**2 - 26*m. Let s(n) = 333*n - 24*n**2 - 51*n**2 - 330*n. Let b(f) = 3*c(f) + 26*s(f). Let h(u) = 2*u**2. Give h(b(g)).\nAnswer: 12168*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 24, -4 in descending order.\nAnswer: 24, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*l + 7*a*l**3 - 8*a*l + l**3 + 88 with respect to a.\nAnswer: -4*a*l + 7*l**3 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -60)\/(15\/390*13). Let u(c) = 120*c + t*c - 362*c + 119*c. Let s(d) be the second derivative of 7*d**3\/2 - d. Determine s(u(g)).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g - 4*k - 4, 5*g + 4*k - 10 = 0. Let t be (20 - 11)\/(1\/g). What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-172)\/(-24))\/((-20)\/6) and -41\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 17*w**2 - 8*w + 4. Let j be c(8). Let b(m) = 2*m**2 + 2*m + 1. Let u(l) = 2*l**2 + 3*l + 2. Determine j*u(g) - 6*b(g).\nAnswer: -4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -21*d + 8200. What are the prime factors of d?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/12 - m**3 - 3*m**2\/2 - 3*m. Let k be n(-5). Solve 0*g - 7 = -3*v - k*g, 3*g = 5*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193709956 to the power of 1\/2, to the nearest integer?\nAnswer: 13918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 - 1) + 4 - (-5 - 0). Is -12 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24018*x**2 + 24024*x**2 - 4*x + 4*x. Let q(z) = 101*z. Calculate q(m(t)).\nAnswer: 606*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 2*y + 24 = 9*r, 5*y - 2140 = 2*r - 2171 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.04 (b) 2\/9 (c) 0.1 (d) -1476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + 4*g)*(g**3 + g**3 + 5*g**3 + (-2*g + 0*g + g)*(2*g**2 + 0*g + 0*g) + 49*g**2 - 49*g**2 - 4*g - 2*g**3).\nAnswer: 3*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugpaagangna. Give prob of sequence nua.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)**(-1\/12)\/(f*f**2)**(-36))\/((f**(-1\/7))**47)**(8\/11) assuming f is positive.\nAnswer: f**(417601\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 42. Let x(k) = k + 5. Calculate x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 175\/2. Which is greater: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2173, 4343, 6511, 8677, 10841, 13003, 15163?\nAnswer: 17321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e7e0e - -2?\nAnswer: -e7e0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in 3\/5, 1\/10, -3\/14, 2\/3, 1\/6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 125020 (base 11) to base 4\nAnswer: 300012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 + 2*x + 4. Let f be d(4). Let k be f\/(8\/6) - -5. Solve k = -0*u + 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/15 and 28\/219?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47433277429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1*sqrt(833) - sqrt(833)) + -1*sqrt(17)*-5 + -2))**2.\nAnswer: 324*sqrt(17) + 12429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01192 - -0.0195102916.\nAnswer: 0.0314302916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 74. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3.27148064479618\nAnswer: 4.27148064479618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**2\/11 + 410*d + 1128\/11.\nAnswer: -2*(d - 564)*(4*d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4276*w**4\/3 + 2398838*w**3\/3 - 1603126*w**2 + 2405138*w\/3 + 1126\/3 = 0.\nAnswer: -563, -1\/2138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/68 - 3\/17. Let p be (3\/(-5))\/(9\/6). What is the smallest value in 2, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60665113 is divided by 32863?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 9*l + 9. Let m(c) = -5*c**2 + 26*c + 26. Let n(q) = -8*f(q) + 3*m(q). Calculate the remainder when 25 is divided by n(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**2 + k - 5*k**3 + 61127 - 122245 + 61125 + (2*k - 4 + 4)*(5*k - 3*k - 4*k)*(-1 + 2*k + 1).\nAnswer: -13*k**3 + 7*k**2 + k + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((2 - 4) + 4). Suppose 2\/7*q**2 - 4\/7*q + f = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmm. Give prob of picking 1 m and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssksxiss. What is prob of sequence xsi?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35874681 is divided by 854159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13261565 and 43.61?\nAnswer: 13261608.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*c - 1 = 0, 0 = -5*q - 4*c - 20 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 4*p. Suppose -19*r + 17*r - 4*s - 672 = 0, -r + s - 336 = 0. Let y be -5 + r\/189*15\/(-4). What is the smallest value in p, y, -3, 2.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q - 9. Let f be x(8). Suppose -4*a = -b - 63, 5*b - f = -3*a + b. What is the highest common divisor of 136 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ara when three letters picked without replacement from aararaarraa?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 - (-1 + -48) - (13 + (-24 - -20)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(-60)\/(-5). Suppose 35 = -6*z + z. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -1.722394?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) - -1*sqrt(1694))\/sqrt(2) + -4 + (sqrt(77) + (sqrt(77) - ((sqrt(77) + sqrt(77) + sqrt(77)*1)*4 + sqrt(77))))\/sqrt(11)*3.\nAnswer: -11*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l**(10\/7)*l)\/l*l*l)\/l**(-2\/15))**(-11\/8))**(19\/5) assuming l is positive.\nAnswer: l**(-100111\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321340 - 2?\nAnswer: -2321342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3551 (base 9) to base 7\nAnswer: 10456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101011010110 + 11010000110?\nAnswer: 10000000101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -56*g**3 + 4*g**2 - 8*g + 7. List the prime factors of i(-5).\nAnswer: 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -1, -2\/3, 2\/479, 1\/2 in ascending order.\nAnswer: -175, -1, -2\/3, 2\/479, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2466464 by -4.\nAnswer: 616616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0, 41, 5, -1.07, -0.2.\nAnswer: -1.07, -0.2, 0, 0.02, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/28 and 481\/42 + 3\/(84\/(-8))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*k - 10*k + 224 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 48*h + 44.\nAnswer: 4*(h + 1)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 16*g + 92. Let i be w(-5). Let r = -52 - -52.1. Which is the closest to r? (a) -0.1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 243 = 5*d, -3*w - 3*d + 89 = -97. Calculate the highest common factor of w and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3 (b) -1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, h: 3}. Give prob of sequence nnhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + 5*w, -d = 4*w + 171 - 166. Solve 27*g + 3 = 28*g, 5*t - d*g = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5\/8, 3, -8, 486 in decreasing order.\nAnswer: 486, 5, 3, -5\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:33 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -54. Let o = 38 - a. Solve -3*p - 6 = -r - 4*r, -10 = 5*p - o*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -17)*(341\/38 - (-247 + 256))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496171 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.75973 + 2.07.\nAnswer: -3.68973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -53. Suppose -a + 26 = -3*d + 7, -3*d = f. Suppose -u + 4 = -5*b - 21, -5*b = -3*u + 85. Calculate the lowest common multiple of a and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10041656 (base 7) to base 13\nAnswer: 2326b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1839640 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -42) + -8 - (1 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3415.98 meters?\nAnswer: 3415980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*l - 689064 + 685800 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 120200200210100202?\nAnswer: -120200200210100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2, 5, 5.56, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 736481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 77 - 127 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*m - 19, 0*x + 3*x = 2*m + 17. Suppose s = -5*q + 10, x*q - 1 = 2*s - 6. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 4*f**2 - 8*f - 11. Suppose 17 + 3 = -10*c. Let t be z(c). Solve 0 = -3*m + t - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39\/5 in 1\/10, -5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.92 + -80?\nAnswer: -46.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-4))\/(3\/(-60)))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 3, k: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 10*l + 1\/20*l**5 - 1\/45*l**6 + 1\/6*l**3 + 0*l**2 + 1\/12*l**4. Let m(v) be the second derivative of z(v). Factor m(j).\nAnswer: -2*(j - 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1155*p - 328. Let y be g(9). Is y >= -10723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 6*n**4 - 16*n**4 + 1 + 2*n**2 - 2*n**4 + 10*n**4 to the form r*n**2 + c*n**4 + j*n**3 + x + k*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 20. Suppose 67*p - 63 = 2148. What is the remainder when p is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 36*p**2 + p - 1. Determine s(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -422c0 (base 13) in base 10?\nAnswer: -119132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -0.4 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128355\/59 or -2175?\nAnswer: -2175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10451301.\nAnswer: 3, 7, 479, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*r - 72, -17*b + 20*b = 3*r + 60. Solve -3*a - b = m, 0 = 2*a - 0*a - 2*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31639 - -31662. What is the remainder when 5145 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8893*-50.\nAnswer: -444650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1947.08 + -1947. What is the closest to 0.11 in 1, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:50 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1512176751 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7377796*s**2*v**3 + 10737*s**2*v**2 - 2*s**2 - 21*s*v**2 - 2*s*v - 2*s wrt v?\nAnswer: -44266776*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50295*h**4 + 64368*h wrt h.\nAnswer: 603540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -893\/3101 + 1\/443. Sort 5\/4, n, -1, 9\/2.\nAnswer: -1, n, 5\/4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (180\/(-50))\/(-2*1\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*((-1)\/(-2) - 1). Suppose -u*q = -3*q - 8. Find the second derivative of 6 + 6*y**3 - q*y - 6 - 19*y**3 wrt y.\nAnswer: -78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 805 - 325. Calculate the common denominator of -26\/3 and ((-4)\/198)\/(10\/g).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11604 and 29\/1352?\nAnswer: 3922152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0.4, 1\/4, 16.1 in descending order.\nAnswer: 16.1, 3, 2, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -33*b**3 + 2*b**2 - 2*b - 3. Calculate g(2).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j - j + 756 - 314. What is the highest common factor of j and 3706?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*n - 86*n = 380 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/13 - 1698*d**4\/13 - 9022*d**3 - 1998526*d**2\/13 + 4355712*d\/13 - 2238200\/13 = 0.\nAnswer: -775, -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 551006, 1101946, 1652886, 2203826?\n\"Answer: 550940*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*k = 0, k - 2*k = -4*u. Let h be u - -3*4\/6. Is (-3 - -4)\/(h\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47345 divided by -2391\nAnswer: -47345\/2391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*q + 10, -7 = 4*q + 5*x - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/2, -3\/8, -2972\/673?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -13 + 0*s + 1\/2*s**2. Let y(f) = 11*f. Give y(d(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -8809 (b) 47 (c) 1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 51816*o + 24. Let q = -29 + 40. Let y be a(q). What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 12*w - 6*w + 2*w - 4. Let d be m(2). What is the nearest to -2 in 2, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 27 = 3*t. Let x(f) = -f**2 + 1. Let q(k) = 12*k**2 - 10. Let s(i) = t*x(i) - 2*q(i). Let l(p) = -4*p**2. Calculate l(s(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -602*a**3 - 2557*a**2 - 2?\nAnswer: -3612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = -4*y, 3*i - 3*y - 11 = -y. Solve -3*j + 2*j + 2*q = -i, 2*j - 9 = q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350 smaller than 3\/2147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, 32, 60, 104, 170, 264, 392, 560?\n\"Answer: x**3 - x**2 + 14*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6656*w**2 + 8592*w?\nAnswer: 13312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 138 = 2*j - 3*p, -2*j = 4*p - 50. Suppose 0 = 13*v - 4*v - j. What is the least common multiple of v and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 3. Let g be m(3). Let v be (24\/g)\/((-17)\/5 - -3). Find the third derivative of 10*s**2 - 10*s**5 + s**4 - 3*s**4 + 2*s**v wrt s.\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, and 1 u when three letters picked without replacement from {w: 3, r: 1, g: 2, d: 1, k: 8, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (62266\/10701)\/(-2) + 4. Let w = -8\/369 + r. Find the common denominator of -55\/8 and w.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/2)*c*c**15*c assuming c is positive.\nAnswer: c**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 668939?\nAnswer: -119\/668939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/3, 1\/4, -0.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m + 2. Let r(j) = -j**3 + 5*j**2 + 8*j + 9. Let u be 2\/3 + (-4)\/6. Suppose u = h + 4*h + 45. Determine h*q(y) + 2*r(y).\nAnswer: -2*y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 752 and 2192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2277*m + 1875 + 3322 + 192 = 3112*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + 9. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636595640, 1273191278, 1909786916, 2546382554, 3182978192?\nAnswer: 3819573830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y - 6*y)*(645 - 216 + 511).\nAnswer: -940*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2b147?\nAnswer: -2b14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39157066*r + 7131008.\nAnswer: 39157066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggfgffgpgffffwwpww. Give prob of picking 1 g and 1 w.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 5)*2\/((-6)\/(-15)). Solve g*b + 20 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1026220 and 1641952?\nAnswer: 8209760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -11\/120*r**6 + 0*r**4 + 0*r + 0 - 1\/4*r**5 + 0*r**3 + 5*r**2. Find the third derivative of j(k) wrt k.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314601.45 - 304752. Let z = 9848.649989 - v. Let y = -0.8 - z. Round y to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1537 + -155. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484 and 334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -10. Suppose -r*c = -1900 - 350. Round c to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - w - 50418 = -10760, 4*o = -w + 39662. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 2510441506.\nAnswer: 2510441503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211102 + -1111?\nAnswer: -212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1820174719 to the nearest integer?\nAnswer: 42664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1904 = -2*h + 4*h, h + 2*i - 951 = 0. What are the prime factors of h?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 18, 9, -14, -51, -102, -167?\n\"Answer: -7*i**2 + 26*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85087152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 5*d - 5. Let b(n) = -5*n**2 - 11*n - 24. Let a(l) = -l**2 - 3*l - 6. Let z(h) = 9*a(h) - 2*b(h). Give 5*m(p) - 4*z(p).\nAnswer: p**2 - 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58467746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = n + 10, 3*u - 4*n - 13 = 0. What is the units digit of ((-6)\/5)\/(u\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 2715\/116?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -31040.281 to the nearest 10.\nAnswer: -31040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q - 12. Let y(o) = -4*o - 5. Let x(i) = -5*f(i) + 12*y(i). Let j(w) = 27*w - 18 + 18 - 44*w. Give x(j(l)).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 24. Let d be q(-8). Suppose d = -0*m - m + 203. Calculate the remainder when m is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {z: 4, x: 2, d: 1, i: 5, v: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.1 (b) 348 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1236 in -0.1, -4, -21, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21*(-15)\/735 + (-1026772)\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 41865.7176 minutes?\nAnswer: 4.153345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:56 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -677, -1498, -2637, -4088?\nAnswer: -5845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368221 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 + 148. Let n = -6 - u. What is the greatest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/60 + 23*s**5\/15 + 89*s**4\/12 + 44*s**3\/3 - 48*s**2. Factor b(w).\nAnswer: 2*(w + 1)**2*(w + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18 + -3)\/(-3) - 2. Suppose -5*p + 1 = -o*c - p, 0 = -4*p + 16. Suppose c*h - 4*x - 3441 = -5*x, h + 3*x = 1147. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + -6)\/12*24. Let u(d) = -3*d**3 + 25*d**2 - 7*d + 2. Determine u(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 7*g - 1. Let i be w(-5). Let x be ((-3)\/i)\/(1\/(-39)). Let p = 12 - x. Let d(q) = -8*q**2 - q. What is d(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 b when four letters picked without replacement from dixkdbxibbipxixiii?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.72 + -0.28. Let l = g - -38. Let b be (150\/10)\/(-3) - -8. What is the second smallest value in b, 2\/3, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/(-532) - ((-11)\/(-63))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8.3 (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**3 - b**2 + 2. Let m be c(2). Let z = m - -305. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 2. Let m be j(2). Let w = m + 30. Suppose 5*v + 3*r - 43 = 0, -v - 4*v = -4*r - w. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3))**(-2)\/(g**3)**(-43) assuming g is positive.\nAnswer: g**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7 + 1. Let i be c - 5\/10*-6. What is the greatest common factor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8))\/g**4)\/(g*g\/((g\/((g**(-2\/11)*g)\/g)*g)\/g))**8 assuming g is positive.\nAnswer: g**(-193\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/11 + 2192*q**4\/11 - 10078*q**3 + 312892*q**2\/11 + 8744*q\/11 - 417200\/11 = 0.\nAnswer: -1, 2, 50, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**11)\/f*f*f*f**(-3\/2))**(2\/91)\/(f\/f**(-2\/9)*f*f**(-2\/13)*(f\/((f**(-2\/3)\/f)\/f))**(19\/3)) assuming f is positive.\nAnswer: f**(-1576\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5750 and 988630.\nAnswer: 568462250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91445070 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 1709*a**4\/6 + 1051*a**3\/3 + 2721*a. What is the second derivative of i(n) wrt n?\nAnswer: 6836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 12 + 6*h - h**3 - 3*h**2 + 0*h**3 + h**2. Let i be w(-8). Let a be (-6)\/(-4) - 2\/i. Put 3, -1\/3, a in decreasing order.\nAnswer: 3, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let u(q) = -27263*q**2. Calculate u(r(i)).\nAnswer: -27263*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 2 - ((1 + sqrt(11))*-6 + sqrt(121)\/sqrt(99)))**2.\nAnswer: 656*sqrt(11)\/3 + 19067\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -31*z + 1260. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184.3 - 21254578.\nAnswer: -21254762.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105052 is divided by 123.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 25. Let w = 62 - p. What is the least common multiple of w and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 8 + -5 - (-7 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5581095 and 780.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -5, 9, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8880858 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26*(25 + 49\/(-2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 519 + -396. Calculate the lowest common multiple of 33 and k.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3069.27 + -3069.6. What is the fourth biggest value in 1, 0.14, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 - 6*x - 4*x - 138)*(-6*x**3 - 1 + 1).\nAnswer: 60*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 9*n**2 - 15*n + 56. Determine o(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 times -0.5?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02195529665 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = -2*x - 30174*l + 30169*l, l = 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 13*p**6\/120 - 2*p**4\/3 - 13*p**2. What is the second derivative of i(x) wrt x?\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 148 + 97 - 389 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 7658.\nAnswer: 7658.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -58. Suppose -3*y = 2 - 11. Suppose -t*c = y*l - 3*c - 98, 2*l - 5*c = 87. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(40\/(-12)). Which is the closest to 2? (a) 3 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 6*w - 8, 2*l = -w - l + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -819370910.055258 + 819372720. Let a = 1810 - o. Let w = -0.055 + a. What is w rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 14) to base 7.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 4*g + 3. Let x be o(4). Do 2 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24836885*f**4 + 4*f**3 - 11080*f - 738?\nAnswer: -298042620*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12010781*g**3*m + 9549*m - 53 wrt g.\nAnswer: 36032343*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 0.0073.\nAnswer: 0.1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 2 - 2 + (-2*y**2 + 2*y**2 + y**3)*(-3*y + 3*y - 2*y) - 1016 + 1016 + 1138*y**4.\nAnswer: 1135*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.91 + -8. Let m = 69 + -65. Which is the third smallest value? (a) -2 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39710, 158188, 355648, 632096, 987538, 1421980, 1935428, 2527888?\nAnswer: 3199366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 883155 and 37635.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6627 + 1751. What are the prime factors of j?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g*g*g**(1\/32))\/(g**(3\/31)*g*g**(-43)) assuming g is positive.\nAnswer: g**(50527\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -38. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 3*j + 1. Let l(w) = 9680*w**2 + 3195*w + 2. Let d(k) = l(k) - 2*o(k). What is the second derivative of d(v) wrt v?\nAnswer: 19348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -64, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 30985568.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1392 and 60043584?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12692985, 12692992, 12692999, 12693006, 12693013, 12693020?\nAnswer: 12693027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Let j = 2\/151 + 2861\/604. Let r = z + j. Which is the nearest to r? (a) 5 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (1 - 4) - (-2 + 1 + (209 - 148))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Which is the nearest to 0.07? (a) g (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (86 - 2)*(-4)\/(-6). Suppose 4*a + q = 8*a. Let k be ((-32)\/(-10))\/(a\/35). Solve -3*o = o + k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579610895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:30 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1980130.662 + 1980033.6620043. Let n = a - -97. What is n rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 11. Let y be j(29). Find the common denominator of -45\/8 and 2210\/336 - 10\/y*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -26. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10423433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 179\/(-63) + (-4)\/(-14). Let a = -377\/18 + v. Calculate the common denominator of 67\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 31. Suppose 0 = 5*l - m - 10. Suppose 5*i - l*x = 15, -6*x + 19 = 4*i - 3*x. Calculate the least common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccvcvcvccccvcccccc. What is prob of sequence vccv?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -42. Let x = p + -13.027. What is x rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2163942, -2163944, -2163946, -2163948, -2163950?\n\"Answer: -2*t - 2163940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*b + 1)*(3*b**3 + b**3 - 2*b**3) - 200*b**4 + 41497*b**2 - 41497*b**2 in the form v*b**3 + t*b**4 + a*b + y*b**2 + n and give t.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*n**3*u - 2*n**2*u + 37*u + 3 wrt n?\nAnswer: 18*n**2*u - 4*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -18. What is the units digit of 0 + p\/13 + (-613)\/(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*v + 69, 950*v - 949*v = -5*q - 33 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 12) in base 14?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3132 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283 is divided by 3127.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 + 0.2. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 95901 and 78\/71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-2))\/(-7) + (-3)\/(-6). Let i be (-1 + 4)\/(b\/(-132)). Let h = -7 - i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*l + 7, 357*l - q = 355*l - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 3944822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -709221 + 1266988. Let t = z - 557761.79947. Let f = -5.2 + t. What is f rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from {b: 1, t: 5, j: 5, l: 1, r: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29974 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-27)\/264)\/(3\/(-4)) + -4 and -45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7066511\/1880 - 17823\/235. Let r = -8016 + 4176. Let j = w - r. What is the common denominator of -35\/16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(5*d - 3*d + 0*d) - d - d + 3*d + (0 - 3 - 2)*(-51 + 51 - 16*d).\nAnswer: 75*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4681 + 4789. Solve 84 = 4*m + i for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a. Let w(g) = 1 + 1 + 4399*g**2 - 2 - 4411*g**2. Determine w(j(f)).\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1995, 2072, 2157, 2250, 2351, 2460?\nAnswer: 2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -5*u - 16, u + 13 = 3*n. Let k(t) be the third derivative of -1\/3*t**4 + 0*t + 0 - 1\/30*t**5 - 4\/3*t**n - t**2. Factor k(v).\nAnswer: -2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 0.27. Let f = 59.6 - 60. What is the second smallest value in 2, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 125, 0.3, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/125 + 1366\/1125. Find the common denominator of 3 + -3 - -1 - (-10)\/(-12) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*q - 7*f + 96, 0 = -5*q - 4*f + 120. Calculate the smallest common multiple of 12 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 1631570*q**2 - 3263125*q - 1631560.\nAnswer: -5*(q + 1)**2*(q + 326312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 + 2*m - 4. Let d(w) = -w + 15. Let q be d(7). Let h = 15 - q. Let l(n) = n + n**3 - 11 + 6 + h*n**2 + 2*n. Calculate -5*k(j) + 4*l(j).\nAnswer: -j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261 + 406. Let h = -87 + z. Let m = h + -55. Let t(w) = -2*w**2 + w + 3. Calculate t(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 2*l - 4*l + 7*l**4 - l**4 - 7*l**4 - 1 to the form c*l**3 + h*l**4 + a*l**2 + i + j*l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5498*m + 2*m**2 - 2*m**2 + 4*m**3 - 5498*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 614150 and 6055.\nAnswer: 4299050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (3*2*sqrt(156) - sqrt(156)))\/sqrt(12))**2 + -1 + (sqrt(1573) + 0)**2.\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*a**3 + 213*a**2?\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*l + 2*l + 2*l - 3*l + 0*l + 4*l - 5*l + (1 - 1 + 1)*(2 - 2 - 2*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051985 rounded to 3 dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 393.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Is 113\/(-2)*(a - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 644*n. Let a(c) = 3752*c**2. Give v(a(h)).\nAnswer: 2416288*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/58 - (-18)\/(-4). Let m(g) = -3*g**3 - 5*g**2 + 3*g. Let t(v) = -4*v**3 - 6*v**2 + 3*v + 1. Let j(p) = -3*m(p) + 2*t(p). Calculate j(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 24072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581 or -597?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -308 (b) 3\/34 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993552?\nAnswer: 2, 3, 7, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12787 + -12773. Solve -2*w = -4*m - d, m = 5*w + 3 - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 3*h**3 + 2*h**3 + (3*h**3 - 4*h**3 - 2*h**3)*(-1 + 4 - 1)*(-20 - 1 + 6).\nAnswer: 87*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378201.\nAnswer: 3, 126067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -670564, -670565, -670568, -670573?\nAnswer: -670580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 9. Let x be b(7). Suppose f + 0*f + 4*p = x, -2*f + 80 = -p. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -1\/60*l**6 + 0 + 0*l + 31\/60*l**5 - 5\/6*l**4 + 0*l**3 - 53*l**2. What is the second derivative of w(d) wrt d?\nAnswer: -12*d + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7894*g - 7894*g - 80*g**3 + g**3 - 2*g**3 + 0*g**3 + (g + 2*g - 2*g)*(1 - g**2 - 1).\nAnswer: -82*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = -2*j, -5*j + 19 = -0*p + 3*p. Let d(a) = -a. Let m be d(p). Suppose 0 = m*l + l + 2*l. Which is smaller: 6\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t - 42*t = -410. Let b(a) be the second derivative of t*a - 1\/66*a**4 - 16\/11*a**2 + 0 - 8\/33*a**3. Factor b(i).\nAnswer: -2*(i + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.519378 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.75 - 1187.75. Let j = -1119.9 - m. What is j rounded to zero decimal places?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**30*(k*(k*k**(-1\/5)*k*k)\/k)\/(k\/k**(-1\/7)) assuming k is positive.\nAnswer: k**(58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:19 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**37*(f**(-2\/5))**(-3\/2) assuming f is positive.\nAnswer: f**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 4*d - 6. Let t be g(7). Let c be 64\/(-8) + (-1)\/1. Is (-6)\/t - 196\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/91 + (-32)\/84. Which is the nearest to z? (a) -0.3 (b) 3\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 + 90*p**4\/7 - 606*p**3\/7 - 2280*p**2\/7 + 2025*p\/7 + 750\/7 = 0. Calculate p.\nAnswer: -5, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 27. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6 + 2*k**5 - 2 + 4 - 1 - 330*k + 80*k**2 + 330*k wrt k?\nAnswer: -120*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 33*y + 35*y + 2*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3105 + -5087. Round x to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148511, 297021, 445531, 594041, 742551?\n\"Answer: 148510*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let s(c) = 2*c**2 + 8*c + 5. Determine 4*j(m) + s(m).\nAnswer: 2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 - -21) - -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 5\/4, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**20\/i*i)**(9\/4)\/(i**(-6\/17)\/(((i**(-3\/10)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(7149\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -17*y + 615. Let q(u) = -28*u + 1229. Calculate -3*q(c) + 5*v(c).\nAnswer: -c - 612","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -707 divided by -7\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19820 is divided by 2477.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + v + 17 = 3*a, -v - 19 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {u: 3, s: 1, k: 6, f: 1, d: 3, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h + 4. Suppose 0 = -0*u - u + h. Is (422\/(-3 + u))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/8 - r**3\/6 + 3*r**2. Let b be q(2). Suppose -b*k = -k - 12. Solve n - k = -0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*s + 27. Let d(q) = -q - 6. Let o be d(-5). What is the third biggest value in o, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427, 1718, 3853, 6826, 10631, 15262, 20713?\nAnswer: 26978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/(-605)*((1\/(-2))\/1)\/1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**(3\/7)*a)*a*a*a**(3\/2))\/(a**5\/a**(2\/13))*((a**(1\/3)*a*a)**(-50))**(-45) assuming a is positive.\nAnswer: a**(954813\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-6) + (-2)\/(-3). Let s be (16\/56)\/(20\/(-28)). Let y = -11 - 3. Sort y, s, b in decreasing order.\nAnswer: s, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -9*g + 2064. Let a(j) = -j**2 - 8*j - 9. Let p be a(-10). Let h = p - -64. Calculate the remainder when g is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwyh when four letters picked without replacement from mwyhyywyh.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 + 0.23. What is the nearest to j in -2\/19, 3, -3\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*y = 3*o - 4, 3*y - 6 = 4*o. Let i = -0.54744 + 0.04744. Sort 20\/7, o, 4\/3, i.\nAnswer: i, o, 4\/3, 20\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**4 + 401*a**3 + a**2 + 86*a + 6 wrt a?\nAnswer: -96*a + 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21729660+16.7\nAnswer: -21729643.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*m + 5, -4*a - 1724*m + 1723*m = -11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540194.\nAnswer: 2, 270097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*l = b - 1, 10 = -2*b - 4*l. Let h(k) = -k**2 - 2*k + 2. Let t be h(b). Let u(g) = -5*g**3 - g**2 + 1. Determine u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15236 (base 12) in base 3?\nAnswer: 1111202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 - -3 - (5 + -9 + -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -4 + 6 - -166. What is the greatest common factor of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*z - 38*z = 76*z - 8486 - 2170 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*z = -27 + 65, 3*p + 2*z = 169. What is the remainder when p is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6 - 0. What is the units digit of j - (-1 + 5 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 214 and -69.5.\nAnswer: 144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109832*d**3*k**2 - 38058*d**3 + 2*k wrt k.\nAnswer: 219664*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*f - 84 = -82, a - 5*f = -3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 3, 5, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2498282, -4996566, -7494850, -9993134, -12491418?\nAnswer: -14989702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -1, -3, -2.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + 11 + (4 - 8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - b - 7 = -3*u, -2*u + 8 = -2*b. Suppose -2 = -t + u. Let l = -2 + t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 3, o: 4, y: 4, g: 2, j: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125241824.\nAnswer: 2, 3913807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d + 12. Let m = -7806 + 54643\/7. Which is the second smallest value? (a) m (b) 0.0249 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63\/8*v + 27\/4 + 3*v**2 + 3\/8*v**3.\nAnswer: 3*(v + 2)*(v + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 103, -4 in descending order.\nAnswer: 103, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-338)\/(-3))\/(30\/(-45)). Let a = l - -175. Suppose -3*d = 4*k - 2, 0 = -4*k - d + 4 + 2. What is the greatest common factor of k and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2959 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60445, 60496, 60589, 60730, 60925, 61180, 61501, 61894?\nAnswer: 62365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -2*(3 - 5). Let b = 5.42 + -1.42. Sort b, 0.5, 5, k in descending order.\nAnswer: 5, b, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -355, 11, 148 in decreasing order.\nAnswer: 148, 11, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 87. Let f = l + -34.51. What is f rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i, 3*m - 2*i + 28 = 4*m. Let j be 3\/(-12) + m\/(-8). Let t = -476 - -478. Sort 3, j, t.\nAnswer: j, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*y**4 + 2*y**2 + 5*y**2 - 3 - 8*y**2 + 2*y in the form b*y**3 + l + s*y**4 + h*y**2 + x*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 214*z + 3427. Determine b(88).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.012.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -45, -5, 4, -4, -44 in ascending order.\nAnswer: -45, -44, -5, -4, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/2690 and 9\/2690?\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 16 = 4*x - 6*x, 0 = -2*x + 3*g + 12. What is the least common multiple of 30 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551431448.\nAnswer: 2, 3, 7, 347, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.69472 + -1250689660\nAnswer: -1250689660.69472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 8*w + 6. Let b be j(9). Let o = b - -6. Let l(r) = -r - o - 5 + r**2 + 7. What is l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398.42 + 395. Let x = p + 6.42. Which is the third smallest value? (a) -5 (b) 2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 7*l + 209 = 87, -t - 34 = -3*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12496652 divided by 12496652?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlzlvlzvvzlqolo. What is prob of picking 1 q and 1 v?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484968152.\nAnswer: 2, 3, 61873673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5, w: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a millennium in years?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26818*a**3*g + a**3 + 2468*a**2*g + 58*a**2 wrt a?\nAnswer: -160908*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 58 = 2. Calculate the remainder when 28 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 145389.3l?\nAnswer: 145389300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h + 21. Let t be q(-5). What is the highest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 g when three letters picked without replacement from yyayxygaf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/12)\/(1\/(-8)). Suppose -3*d + 22 = 5*r, -3*d - 22 = -7*d - 3*r. Let j = d - -1. Put j, 3, y in descending order.\nAnswer: j, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2*3\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61 + -3.09. Let k = m + -1.3. Which is the closest to 3? (a) k (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {v: 3, n: 9, q: 1, t: 2, s: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 6*l**2 - 7*l + 6. Let i be t(7). Suppose 20 = i*o - o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 4) to base 9\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7221.3 times -0.1?\nAnswer: -722.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/7, 218, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69588560 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 108 = 0, -3*u + i + 329 = 341 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q - 95. What is h(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 1. Let l = -7.9999962 - d. Round l to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(128) + -1))**2 + 3 + -4 + 6*(sqrt(162) + 2)**2 + -4.\nAnswer: -216*sqrt(2) + 4474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2040 - -2036. Put -1, 36, p, -2, 4 in descending order.\nAnswer: 36, 4, -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3392.28? (a) -0.04 (b) -9 (c) 0.5 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504120 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/5 in 0.4, -8\/7, -1?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 38 + 23)*(4*d**2 - 27*d**2 + 106*d**2).\nAnswer: -4233*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 16056*k**2 = 0. What is k?\nAnswer: 0, 4014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73399 is divided by 303?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(108))\/sqrt(9))\/((sqrt(224)\/sqrt(8))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -150905130 < -150905130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*j**5 - 170*j**4 - 140*j**3 + 40*j**2.\nAnswer: -5*j**2*(j + 2)**2*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/((1104\/161)\/(-12))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 538 = -183. Let v = -51 - i. Let w = v + -10. Solve o + 4*o + w = 3*p, 20 = -4*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -1.4. What is the closest to -0.1 in i, 1, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 3*n**2 + 6. Let s be k(3). Solve f = s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27500 * -0.03\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67849007 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-168)\/(-90) - (-2)\/15. Suppose -p + 6 = f. Let m = 6 + -2. Solve -20 = -f*c - m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 2, k: 1, d: 1, c: 1, m: 3}. What is prob of picking 1 m and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 130, 272, 414, 556, 698, 840?\n\"Answer: 142*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 = 2*k, 5 = 2*k + 4*b - 25. Suppose 2*o = -3*m + 1613, 4*o - 1916 = -k*m + 769. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171572.4843 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 2*z + 0*z)*(2891 + 2841 - 5732 - 10618*z**2) as m*z + p + g*z**2 + c*z**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**5\/d)*d**(-1\/6))\/(d**(-3\/8)*d\/(d\/(d\/(d\/(d\/d**(-1\/3)))))))\/((d**(2\/5))**(-1\/13)\/((d**(-1\/9)*d)\/d**5)) assuming d is positive.\nAnswer: d**(-38401\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 7:46 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410529 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 36 = 10*b. Let m be (24\/(-28) - -1)*b. Solve 6*p = m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -113d5e + 11b?\nAnswer: -113c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*r - 2 = -r, 0 = 2*n - 2*r + 2. Let x = n - -3. Let c be 22\/x + (-4)\/6. Solve -4*z + 19 = c*k, -2*z = z - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 2006.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = -4*i + 150 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -395650, 19 in decreasing order.\nAnswer: 19, 0.5, -395650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.333596 to 1 dp.\nAnswer: -260.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003963 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 614)\/(-5) + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 h when four letters picked without replacement from {h: 2, o: 1, d: 2, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 0))*1 - sqrt(1008) - sqrt(84)\/(-6*sqrt(432)))**2.\nAnswer: -2585\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 5*u - 2. Let f(r) = -2*r + 2*r**2 - 6*r**2 + 0*r + 2*r**2 - 1. Let q = 827 - 470. Let m = q - 355. What is m*g(h) - 5*f(h)?\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 4*n + 10. Suppose 3*r + 3 = d - 0*r, -4*d - 3*r = -42. Determine t(d).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6402842689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 25. What is the smallest common multiple of x(17) and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10220 (base 3) to base 10\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 33. Suppose -3*x = -m*x - 12. Is (-15 + 9)\/(x\/2) + 145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 139*a**2 - 2*a + 5 - a + 140*a**2.\nAnswer: a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.8 + 14. Let j(s) = -13*s - 91. Let u be j(-7). Which is the third biggest value? (a) i (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617 is divided by 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 659.454mg?\nAnswer: 659454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15120945036 - -372822020695267\/24656. Let s = -9\/1541 + i. Calculate the common denominator of -113\/20 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*a = 14, -4*b - 437*a - 20 = -441*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3907, -8066, -12225, -16384, -20543, -24702?\nAnswer: -28861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8337)\/1332 + (-5195)\/(-576645)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*g + 7130, -12 = 50*g - 48*g. Does 73 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*((q**(-12\/7)\/q)\/q)\/q*q)\/q)**26\/((q*(q\/((q*(q**13\/q)\/q*q)\/q))\/q)\/(q*q*q\/(q*q**(-1\/12)))))**20 assuming q is positive.\nAnswer: q**(-35065\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s + 68 - 68 + (-2 - 1 + 4)*(-2*s + 2*s + s) + 0 + 0 - 2*s + 22*s - 54*s - 46*s + s - 3*s + s + (-2 + 0 + 3)*(-2*s - s + s).\nAnswer: -71*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:00 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -5. Let o = p - 13.82. Let q = 0.1799987 - o. What is q rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2752 = -84*o - 2416. Let t(s) = s**3 - 5*s**2 - 4*s - 5. Let g be t(6). Solve -4*b = -y + 7 + o, -b = 3*y - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + l**2 - 273*l - 57 - 47*l - 51 + 6*l**2.\nAnswer: 4*(l - 27)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18 + 56 + s - 23 - 14. Let o(f) = 4*f**2 - 12*f - 12. Determine o(b) + 12*t(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-285)\/(-57)*3*2\/15. Solve -y*c + 82 = 70 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 8. Suppose -2*c + 148 = k*b + 2*c, 0 = -b - 2*c + 33. Suppose -6*z + b = -73. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-344)\/(-28) + 90\/(-21) + 4. Suppose -p = -z + 116. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20836772 and -0.2.\nAnswer: 20836771.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -156381 * -0.11\nAnswer: 17201.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*f - 10*f**2 + 45*f + (43*f + 13*f - 14*f)*(2*f + 2*f - 6*f) + (-4 - 5*f + 3*f + f)*(f - f - 2*f).\nAnswer: -92*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/566544 and 79\/1755798?\nAnswer: 407345136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(-4\/9)\/g)*g)\/g**(-1\/5))**(-40))**(-9\/7))**(2\/83) assuming g is positive.\nAnswer: g**(2624\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) - 0 - 9\/(-5). Suppose j = j - g*j. Let x be ((-24)\/20)\/(2\/(-5)). Solve -x*c + 2 + 1 = j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 57040452941628.\nAnswer: 57040452941633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*o + 270 = 4*o, 0 = -3*b - 3*o + 192. Let p be (b\/77)\/(((-3)\/(-14))\/1). Let v(q) = -q**2 + 5. Let w(k) = k**2 - 4. Determine p*v(l) + 5*w(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -1748\/15*m**2 - 3502\/15*m - 584\/5 + 2\/15*m**3 = 0. What is m?\nAnswer: -1, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -2\/39*z**4 + 0*z**2 + 4*z + 0*z**3 + 0 - 2\/65*z**5 - 1\/195*z**6. Factor l(m).\nAnswer: -2*m**2*(m + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16 - 16 - 147*k + 314*k - 160*k. Let s(z) = -50*z - 6. Determine y(s(x)).\nAnswer: -350*x - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let r = 7.2 + -7.1. What is the biggest value in r, b, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (495\/20)\/((6\/(-8))\/(-3)). What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -21, -29, -39, -51, -65, -81?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201 greater than 9607\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1412, -0.2, -2?\nAnswer: -1412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -308417601 + -3?\nAnswer: -308417604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose -3 = -v*b + 3*b. Is 0*b\/(-9) - -31 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5071 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 100*b**2 - 54*b**2 - 1 - 44*b**2 to the form c*b**2 + s + q*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -420, -421, -422, -423, -424?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6) + 0)*-2. Let h = 1086 + -1084. Let n(k) = -k**2 + 14*k + 39. Let m be n(16). Solve -m = 3*y + 2*y + h*l, y - x = -l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) -1\/2 (d) -1\/118 (e) 0.1 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 21. Suppose -46 - 10 = 129*k - 137*k. Solve 0*n = -p*n + k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 16875600?\nAnswer: 16875600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 10*u + 21. Let i be n(-8). Suppose -i*z + 5*q = -90, -5*q - 24 = -2*z + 6. Suppose z*j - 22 = 19*j. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*d = 134*d + 306. Solve -3 = 5*z + 3*h, 4*z - 5*h + 23 = -d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 6 + 0*p + p. Let h(s) = -5 - 8*s - 4 - 2. Let c be 1\/(((-221)\/(-425))\/13) - 18. What is c*m(g) - 4*h(g)?\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24100, -24084, -24044, -23968, -23844, -23660, -23404, -23064?\n\"Answer: 2*l**3 + 2*l - 24104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 17*s - 4. What is the remainder when k(-16) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o - 5*o + 38*o to l*o + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 11) to base 5.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + -7 + -7 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 10*r + 7. Let f(x) = -5*x**2 - 20*x + 14. Let a(k) = 3*f(k) - 7*m(k). Let w be a(8). Solve -5*p = w + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*q - 25 = 0, 5*v + 2*q + 2*q = 39. What is the remainder when 1 - ((-1376)\/80)\/((-2)\/(-10)) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Convert 86.10525 millilitres to litres.\nAnswer: 0.08610525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490225 = 11123*r + 555337 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12818927 to the power of 1\/2, to the nearest integer?\nAnswer: 3580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/44 and 49\/127640.\nAnswer: 1404040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - k**2 + 3*k - 7*k - k. Determine t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 2*b**2 - 31)*(3 - 4 + 3)*(-5 + b + 2 + 0) to s + m*b + g*b**3 + i*b**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1\/12*d**4 + 0 - d + 3*d**2 - 7\/6*d**3. Let l be (-2)\/(-3) + 13\/3. Calculate b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 3*n**4 - 3*n**3 - 4*n**2 - 7*n**4.\nAnswer: -4*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 + g + 17. Let y be s(0). Suppose 111 - 9 = y*j. What is the second derivative of -22 - 34*v**3 - 3*v - j*v + 7*v wrt v?\nAnswer: -204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*k - 221, -3*s - 1037 = -8*s + 2*k. What is the greatest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -564364 (base 7) to base 2\nAnswer: -11000011010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010111110220 (base 3) to base 15\nAnswer: -bcd10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 + 1290*x**4 - 47215*x**3 + 603190*x**2 - 2325540*x - 2977240 = 0.\nAnswer: -1, 14, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939 = 11*i + 4228. Let f = i + 381. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) 3 (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**2 + 4*d**2 + 0*d**2 + (-1 + 1 - d)*(-1 + 0 - 4)*(15 - 11*d - 14 - 4) to the form x*d + l*d**2 + g and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4136921 and 626.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b**2 + 3*b)*(4 + 3 - 5)*(2 - 1 + 0 + (0 - 4 + 2)*(-2 + 5 - 2) + 2 + 1 - 1)*(2*b - 6*b + b).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1130044 - -1129811.9901. Let t = s + 232. What is t rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 10}. What is prob of sequence ttt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320.3 - 97.7. Let b = -407.95 - j. What is b rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -594.2.\nAnswer: -178.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -5271, -2 in decreasing order.\nAnswer: -1, -2, -5, -5271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.62594 and 1.\nAnswer: -8.62594","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 238 (c) 2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s**(-1)\/s)\/s*s))**(-6)*(((s\/(((s\/(s*s**(-2)\/s*s))\/s)\/s))\/s*s)\/s)\/s**9 assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 - 5 = 25*z. Suppose 0 = -3*r - 4*g + 2*g - 14, g = 3*r + 2. Which is the third smallest value? (a) z (b) 0.5 (c) -5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:23 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 = 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -121*v - 1. Let t(x) = 2406*x**2 - 1136*x**2 - 1266*x**2. Give t(r(u)).\nAnswer: 58564*u**2 + 968*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2272 - 2206. What is the remainder when 230 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-15))\/(8\/(-180)*3))\/(27\/(-252)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/700*-4*665\/(-190)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 - 4*t + 96. Let a be p(-12). What is the highest common divisor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, q: 4, u: 3, p: 4}. What is prob of sequence upq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1, -2, 13\/3678?\nAnswer: 13\/3678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 25, 4*c - 20 = 2*y + 6*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 67, 93, 135, 199, 291, 417?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(40 - 0)\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2. Let m be -5*(3 + -4) - 2. Suppose 90 = 2*a - 2*c, -6*c + m*c = 0. Let b(w) = 45 - w - a. Determine b(o(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1440 (base 5) to base 13.\nAnswer: 15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 4:20 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -1. Let b = p + 11. Suppose 34 - 504 = -b*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/(l*l**(-2\/17)\/l))**(-4\/25) assuming l is positive.\nAnswer: l**(-1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/12 - 2*z**3\/3 - 3*z**2\/2 + z. Let p be d(5). Suppose -4*a - a = 0. Put p, a, 3 in ascending order.\nAnswer: a, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6 (b) 0.61 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.274 to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-13))\/4 - (-14)\/91. Which is the second biggest value? (a) 2 (b) r (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -21. Let x be ((i + 7)\/(-8)*0)\/1. Suppose x = -11*b - 324 - 50. Is -34 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201967 is divided by 201965.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/1 + (-13 + 0 - 11). Suppose 2*n = 3*n + 36. Let j = u - n. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 249*c + 4689. Let f be b(-19). Sort f, 3, -3, -5 in decreasing order.\nAnswer: 3, -3, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/4 - 31*n**3\/4 - 1407*n**2 + 54880*n + 241472 = 0.\nAnswer: -77, -4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:55 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 5199428?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 40*m**2 + 9 + 18 - m wrt m.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(63\/(-18)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*x + 787, -7*l + 3*x = -10*l - 777. Let q be ((-18)\/(-21))\/((-5)\/(-2135)). Let m = q + l. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.105, 1, -4, 0, -2.1 in decreasing order.\nAnswer: 1, 0.105, 0, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k + 46*k - 84096. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34844.\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)*n*n*n\/(n\/(n\/n**0))*n*n)**25*((n**1)**(3\/5))**(-8) assuming n is positive.\nAnswer: n**(3731\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 3*w**2 + 3*w. Let c be 114\/9*-3*2. Let y = -54 - c. Let s(l) = -7*l**3 - 11*l**2 - 11*l. Give y*g(o) + 6*s(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**2. Let f(j) = 5*j**2 + 1. Let k(u) = 132*u**2 + 2. Let b(x) = 4*f(x) - 2*k(x). Calculate b(g(d)).\nAnswer: -15616*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 9163.\nAnswer: -9163.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x + 4. Let d(b) = 51*b - 22. Let s(u) = 2*d(u) + 11*i(u). Determine s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Suppose -5*o = -2*k - 21, -22 = o - k - 25. Sort o, p, 0, -1.\nAnswer: -1, 0, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -126?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(154) + sqrt(154) + (-1*sqrt(154) + sqrt(154) - sqrt(154))*-2 + sqrt(154))\/(sqrt(396)*-2))\/((sqrt(700) + -3*sqrt(700))*6*6))**2.\nAnswer: 1\/1492992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -9 + -10 + 7 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 9*w + 6. Let z(q) = -q - 1. Give -u(d) - 3*z(d).\nAnswer: 3*d**2 - 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10842 divided by 3614\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 - 3. Suppose 3*c + 2 = -5*m + 4, 5*m = -5*c. Let o be ((9\/12)\/m)\/3. What is the closest to o in 1, l, 1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2737 and 4150?\nAnswer: 11358550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = 0. Suppose 3*h + 10*u - 5*u - 15 = f, -5*h + 2*u = 6. Solve 5*j - 25 + 5 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - 0.5. Let y = -1.0992 - g. Round y to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.5 + -6. What is the second biggest value in l, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.57 - 3.07. Let m = -149\/4 - -37. Put m, 0.5, r in decreasing order.\nAnswer: 0.5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1219 + 196 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**2 + 5*s + 81. Let o = -179 - -170. Let l be q(o). What is l rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 2*s + 100 = 0. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12957494 to the nearest integer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -n + 48, f + 4*f - 200 = -5*n. Calculate the remainder when 169 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and 169\/4590416190?\nAnswer: 13771248570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x - 3*q - 80, 2*q = 5*x + 55. Let a = x - -28. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 3:51 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 1\/11, 3, -5, -3.85?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 887.6 + -884.2456. Round a to 2 dps.\nAnswer: 3.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*i**3 - 169*c**3*i**2 + 2*c**2*i**2 + 998*i**3 wrt i.\nAnswer: 6*c**3 + 5988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356861882 a multiple of 2649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**8\/12 - 21844*y**7\/105 + 5973*y**6\/5 - 42052*y**5\/15 + 20243*y**4\/6 - 2076*y**3 + 2033*y**2. Solve l(z) = 0 for z.\nAnswer: 2\/7, 1, 1557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1035, 988, 925, 852, 775, 700, 633, 580?\n\"Answer: y**3 - 14*y**2 - 12*y + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15861, -103, 2\/11.\nAnswer: -103, -2\/15861, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = -3*x. Let m(b) be the second derivative of 3*b + b**2 - 1\/12*b**4 + 0 + 1\/6*b**x. Factor m(j).\nAnswer: -(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 258 (d) 2\/15 (e) -2.8 (f) 0.2 (g) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 10. Let f(s) = 3*s - 12. Let z(m) = 5*f(m) + 6*g(m). Let i(q) = 283*q**2. Calculate i(z(x)).\nAnswer: 2547*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-200))\/(254\/635).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-11 + 7 + -3). Solve 2*x = -6, k*x - 1 = 2*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*g**4 + 1 - 4*g**4 - 9*g**3 + 5*g**4 as i*g**2 + c + x*g**3 + a*g**4 + z*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 19*a. Let k(x) = 4*x**2 + 3*x + 3. Let u(z) = -11*z**2 - 8*z - 8. Let w(f) = -8*k(f) - 3*u(f). What is r(w(b))?\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1839 + 2.3839. Put t, 0.052, 0.3, 9 in decreasing order.\nAnswer: 9, 0.3, t, 0.052","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(315\/153) + 4. Let p = 60 - 41. What is the biggest value in m, 0, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52784.\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*a - 3, -4*n = -2*a - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3598 = -l - 4*z, z = 4*l - 2870. Suppose -l = -v - 466. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68)\/sqrt(4) - sqrt(17) - (sqrt(85)*-1)\/sqrt(5).\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -44. Let j be 5\/(1*(0 - -1)). Solve -4*g = -j*g - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693023273.\nAnswer: 693023273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 15. Let t(a) be the third derivative of -1\/90*a**4 + 0 + 0*a**3 + 1\/100*a**6 + 5*a**2 + 0*a + 7\/450*a**x. Factor t(q).\nAnswer: 2*q*(q + 1)*(9*q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1830 * -0.06.\nAnswer: 109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 2*h + 2. Let n be z(-1). Suppose 3 = n*p, a + 2*p - 336 = -0*a. Find the third derivative of 161*g**3 - a*g**3 - 19*g**2 + 142*g**3 wrt g.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.70834 weeks in hours?\nAnswer: 15911.00112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*g - 45 = 78*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 106679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/9*(18\/4)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 2 r when four letters picked without replacement from {a: 1, z: 1, x: 3, r: 5, g: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 13*j + 27*j + 12*j + 8 + 10.\nAnswer: 42*j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/60 + 5*n**4\/12 + 2*n**3\/3 - 170*n**2 - 1. Let p be m(-10). Solve -p*i + 2 + 16 = 2*k, -3*i + 3*k = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - u - 5*u**4 - 730*u**2 + 6*u**4 - 2*u**3 + 732*u**2 as y*u + i*u**2 + l + j*u**4 + h*u**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*c - 30, -z - 3*c + 48 - 22 = 0. Solve z*a = -t + 8, -9*t - 12 = -10*t - 4*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -12. Suppose c*a = -3*h - 4*a + 91, -a = -5*h + 190. What is the remainder when 145 is divided by h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(175\/165))\/((-168)\/(-588))*-2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3608.8 + -3451. Round c to 0 dps.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77898 and 18114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.082 + 0.282. What is the nearest to d in 0.4, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and 14?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**3 + 3*r**2 - 55*r - 57. Let l be u(-1). Solve l*m = 35*m + 69 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169735 + 169736. Let w = -8 - 41. Put r, w, -2\/9 in ascending order.\nAnswer: w, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.8863873 months?\nAnswer: 0.00240532275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -83 (c) 1\/43 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = -4*g - 4, 2*g + 22 = -4*l. Solve g*q - 185 = x - 164, -8 = -2*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 5*n - 23, 2*n + 2 = h. Let g be 2 + (h - 1) + 0. Is 11*(-1 - (g - -1)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:40 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = -2*z, 2*p + z + 4 = -4. Let c = -155003\/12804 + 24\/1067. What is the common denominator of c and (p\/6)\/((-28)\/99)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(832) + 1*sqrt(832))*-2)**2.\nAnswer: 13314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 132\/(-20))*-15. Let l(i) = 17*i**2 + 11*i - 69. What is the tens digit of l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let h(b) = -b + 7. Let n be h(7). Let d(m) = -t*m + n*m + m. Let o(s) = 2*s. Calculate d(o(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 891566101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32752, 63469, 94186, 124903?\nAnswer: 155620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 7. Let a be q(6). Let s be a\/25*1*5. Let z = 0.07 - -2.93. What is the nearest to 1\/4 in s, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -435919\/321 - -1358. Let m(o) = o**3 - 8*o**2 + 76*o - 384. Let p be m(6). Which is greater: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(3*n + 6 - 6) + (-4 + 4 - n)*(-2 - 4 + 2) - 4*n - 2*n + 4*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102221021 - -22101221?\nAnswer: -1010112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14c (base 14) to base 8.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, t: 2}. Give prob of picking 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38794*x**3 - 1 + 4 - 3.\nAnswer: 38794*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -3. Suppose y = c - 3. Suppose y*d + 4 = 16. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1977, 1192, -107, -1914, -4223, -7028?\n\"Answer: v**3 - 263*v**2 - 3*v + 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -29 - (-4822 - -4834)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 - 150*o**2 + 54*o**2.\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 109*y. Let t(a) = 4*a. Calculate t(z(i)).\nAnswer: -4*i**2 + 436*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 - 826 + u**2 + 414 + 413 + 20*u - 2*u**3 to the form g*u**3 + c*u**4 + j + k*u**2 + l*u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 193 = -14*v. Suppose -5*x + 263 = 4*d, 5*x + v + 40 = 4*d. Calculate the remainder when d is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z + 3. Let m(n) = 17*n - 7. Let r(q) = 7*g(q) + 3*m(q). Let d(y) = -y. Give d(r(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 163187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3609 divided by 1203.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from wnwwnloypnwpnnww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/7)\/6*(-6)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - 305. What is the biggest value in 0.1, -46, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2412195 (base 11) to base 8\nAnswer: 20024466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfjfdjdjdfdjdddd. What is prob of sequence jdff?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 18?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -0.296003676221691.\nAnswer: -0.696003676221691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**8*g*(g*g**(1\/12))\/g*(g**1)**47 assuming g is positive.\nAnswer: g**(685\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**4 - 75514*g - 55626.\nAnswer: 12*g**3 - 75514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 22*n - 2. Calculate f(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -0*q. Factor -3 + 0*p**2 + 2*p**2 + 5*p**q - 4*p**2.\nAnswer: 3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976621 divided by -31?\nAnswer: -4976621\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - 13. Let w = 23 + k. Suppose 98 + 28 = w*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 4:26 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3071\/211 at most -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 - 48*v + 5. Let a be g(7). Solve 0 = -3*r - a*r + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5648, 5645, 5640, 5633, 5624?\nAnswer: 5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 55 = -5*t. Suppose -20 = 3*k - 2*a, -5*k + 2*a - 60 = 4*a. Let g = t + k. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q + 119. Calculate w(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -360 - -440. Let p(v) = w*v - 26*v - 27*v - 26*v. Let y(f) = 30*f. Determine p(y(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 = 1102*b - 1073*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -8.2. Let f = 7 - m. Let h = 0.1 - -3.9. What is the nearest to -0.1 in -5\/3, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.85 - 0.95. Let j = 4.9 - d. What is the nearest to 0 in j, 12, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v - 2898099 = 14*v - 88*v. List the prime factors of v.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -9.47\nAnswer: -2.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95386 - 64004019\/671. Calculate the common denominator of 29\/1830 and z.\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x**7\/28 + x**6\/30 - 9*x**5\/40 - x**4\/12 - 3*x + 2. Let a(k) be the first derivative of b(k). Let a(g) = 0. What is g?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 11) in base 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.85481 - -32.60159. Let h = -9.451 + m. Let k = -24 + h. What is k rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 50*k**2 + 79*k + 72. What are the prime factors of m(-22)?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d + 75. Let i be g(6). Let w = i - 102. Is (399 - (2 + 0))*w\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/5)\/8*2*3\/(-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, q: 3, u: 3}. What is prob of sequence uuee?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 1373727?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91.7 + 92. Which is the nearest to -2\/5? (a) 0.02 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = 0, x = -0*w + w - 1. Let a = 0 + w. Calculate the lowest common multiple of 16 and (-30)\/(-9) - (-4)\/a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244560 and 3120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*(-6)\/14. Let r = -1.9795 - 0.0205. Let q = -215 + 216. Sort r, q, l, 2\/3 in ascending order.\nAnswer: r, l, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 99*p + 34. Let b(d) = 1125*d**2. Determine t(b(v)).\nAnswer: 111375*v**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 320520100 to the nearest one million.\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602563388.\nAnswer: 2, 3, 37, 43, 83939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {o: 3, c: 1, z: 4, u: 2, j: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 4\/8*12. Solve -4*w + 12 = -2*s, s + n + 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m**2. Let j(n) = -n**2 - 2363*n - 2360*n + 4712*n. Give g(j(x)).\nAnswer: 16*x**4 + 352*x**3 + 1936*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.113, -0.4 in decreasing order.\nAnswer: 5, 0.113, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309441?\nAnswer: 3, 11, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*b - 11, 0 = 5*l - b + 3 - 0. Let v(t) = 25*t**2 - t. Is 26 a factor of v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a (base 12) in base 4?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, l: 4, r: 5, v: 6}. What is prob of sequence mvr?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*5\/10)\/95)\/((-36)\/40)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(95))\/((sqrt(45)*-4)\/sqrt(9)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 7*m - 1. Let r(f) = f - 11. Let b be r(10). Let g be 90\/(-54)*b*3. Determine v(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**6\/12 - 11*h**5\/10 + 7. Let c(n) = 0. Calculate n.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -0.4, 4606?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136857537 rounded to the nearest 100000?\nAnswer: 136900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-4)))**23\/((z\/(z\/z**2))\/z)**(7\/6))**11 assuming z is positive.\nAnswer: z**(-6149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -2\/117, 2\/5, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**7\/35 + v**6\/15 + 19*v**4\/6 + v**2 - 18*v. Find the second derivative of x(f) wrt f.\nAnswer: -72*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k + 121. Let x be b(18). Suppose 0 = 4*a + 44 - 76. Sort -10, a, x in decreasing order.\nAnswer: a, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 80*i + 168. Let u be d(2). Solve u = -3*f, -l + 4 = 3*l - 4*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 5:10 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let q(f) = -5*f. Suppose -d = 4*d - 15. Let c = 22 + -26. Let s(w) = -4*w. Let o(t) = c*s(t) + d*q(t). Determine z(o(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6580*w + 6343*w - 12923*w + 0*w**2 + 4*w**2 - 3*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3221 + -3230. Let s(i) = i - 7. Let g(v) = 4*v - 28. Give r*s(f) + 2*g(f).\nAnswer: -f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60b (base 14) to base 9.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46076 (base 9) in base 8?\nAnswer: -73737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 i when three letters picked without replacement from biinbbbbblbbnibilbb.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 47. Let s be 2\/f*234\/(-12). Solve 3*l + 4*r = -s, l = -4*r - 16 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3083.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -241338*i. Let r(k) = -13*k. What is r(z(n))?\nAnswer: 3137394*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 2\/13 (c) 7 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:16 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(176) + (-2*sqrt(6) - sqrt(6))*-6)\/(sqrt(24)\/(sqrt(8) + sqrt(40)\/sqrt(5)) + sqrt(108)))**2.\nAnswer: 5329\/338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*o = 266*o + 561 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -487, -713, -921, -1105, -1259?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 402 = 25*c. Is 44 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-38))\/((-16)\/(1728\/(-27))).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 132*g + 27. Let b = -26 + 33. Let o be n(b). Suppose -241 = -8*t + o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 + 3*a**2 - a + 1. Let p(n) = -3*n**3 - 4*n**2 + n - 2. Suppose 18 = -17*k + 11*k. Calculate k*p(j) - 4*d(j).\nAnswer: j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x**2 + 30*x**2 + 94*x**2 + 41*x**2 + 0*x**2.\nAnswer: 122*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 903213 and 40.\nAnswer: 36128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1 + 2*q**2 - 2 + q**3 - 3*q**2. Let k be 3\/(-18)*-15*(0 - 36\/(-30)). Let r be g(k). Solve -2*t - r = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 154, 16, -122, -260?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1334, 4.\nAnswer: -2, 3, 4, 1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - b = -739 - 929, -2*b - 1992 = -6*r. Suppose -14 = -y + 60. What is the highest common factor of r and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f - 50. Suppose 3*m = -m + 592. Calculate the remainder when m is divided by w(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3668*t - 1136*t - 1196*t - 1333*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678302?\nAnswer: 2, 339151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 649.938 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 0 + 0)*(x**3 + x**3 - x**3)*(13 - 4 + 1) - 4*x**4 - x**4 + 3*x**4 as t*x**4 + z*x**2 + d + r*x**3 + n*x and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134440 (base 5) to base 6.\nAnswer: 42004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -14809 and -14809 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97583, -87454, -77325?\nAnswer: -67196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-20.87.\nAnswer: -6.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 7002*y + 227136.\nAnswer: -3*(y - 32)*(y + 2366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*2)\/(28\/42)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -2\/13 (c) 0.073 (d) -5 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, -3.\nAnswer: -3, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:29 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b - 5 + 2*b**2 - 3*b**2 - 2. Let i be j(-5). What is the first derivative of 0*g**3 - 2*g**3 + g**i - 2 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10865 - 10856. What is the remainder when (29\/3)\/((-3)\/(-9)) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 648, 2240, 5342, 10458, 18092, 28748, 42930?\n\"Answer: 84*d**3 - d**2 + d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2)*q))\/q**(-12) assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -o - o, -5*o + 65 = -3*w. Let c(i) = -20*i. Let y(a) = -3*a. Let q(p) = -5*c(p) + 32*y(p). What are the prime factors of q(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjoc when four letters picked without replacement from oozjppcoozp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 60. Calculate the least common multiple of 32 and t.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 + 8*g**4 - 10*g**3 + 4*g**2.\nAnswer: -2*g**2*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1698154 + 1698172 = 4*o, 0 = -2*i + 3*o + 3 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 3*a, -10*l + 6*l = -12. Let v(q) = -q + 4. Let b be v(0). Solve -b*h + 8 = 0, s + a*h - 4 = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 8, 0, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 27 = -87 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*q + 7 = 0, 2*c + 3 = -4*q + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 652*f**6\/15 + f**4\/12 - f**3\/3 + 31*f**2\/2 - 62*f - 2. Find the second derivative of t(g) wrt g.\nAnswer: 15648*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7368, 7374, 7384, 7398, 7416, 7438?\nAnswer: 7464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, -2, 2, 227, -4 in decreasing order.\nAnswer: 227, 2, -2, -4, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqo when three letters picked without replacement from {y: 1, u: 1, c: 1, e: 2, o: 1, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 581209164 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -98.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihphsybyypyh. Give prob of picking 1 h and 1 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 + -2 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(0 + sqrt(176)*-1))**2*-1.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/608 and 23\/608?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2019, 2082, 2145, 2208?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7766*a**2 - 496 + 7727*a**2 + 249 + 247.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 + 8 = 0. Suppose -42 - m = -3*s. What is the remainder when 8\/(-3)*s\/(-10) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 20, 3*o - 4*p = 16. Is 4\/6 + (376\/3 - o) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22530000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-2\/21)\/(j**(-6\/13)*j*(j*j*(j*(j**(2\/45)\/j)\/j*j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-6092\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 29*n**3 - 2*n**2 + n + 6. Calculate the smallest common multiple of y(3) and 22.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/48 - a**3\/12 - 2*a. Solve z(r) = 0 for r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = t - 32. Suppose -8756 = -t*x + 4*q, 0*x = 2*x - 5*q - 4384. Let s = x + -37189\/17. Is -2 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 - 71. Let l = p + -86.018. Let j = l - -0.051. What is the nearest to 1 in -2\/7, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + 33*t**2 - 22*t - 23. Give k(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1004 + -434. What is the smallest common multiple of m and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q**2 + 26 - 13 + 2 - 15.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, -172, -0.4, -2\/253, 5, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.5745 millilitres in litres?\nAnswer: 0.5215745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c - 13. Is s(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386.7799 rounded to one dp?\nAnswer: -386.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1344 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4162 is divided by 691?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31644374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 491863 + -491863.1299986. Let z = -6.87 - -7. Let b = z + g. Round b to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose -7*v + 100 = -t*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27573 - -27578. Let l(b) be the first derivative of -98\/9*b**3 - 17 + 94\/15*b**n + 14\/3*b**6 - 13\/2*b**4 - b**2 + 4\/3*b. Find g, given that l(g) = 0.\nAnswer: -1, -2\/7, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f - 5. Let s(j) = -j - 1. Let h(q) = 2*q + 2. Let l(p) = -6*h(p) - 11*s(p). Determine 10*l(r) - 2*t(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 70, 108, 148?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395510338 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l + 2. Let o be h(3). Let f = -1134 + 1233. Let z = f + o. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/4, 14.7, -1.1 in descending order.\nAnswer: 14.7, 2\/5, -1\/4, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3)*k)\/(k\/k**(-1))*k**1\/k**5)**(-49) assuming k is positive.\nAnswer: k**343","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012692 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - u + 14. Determine t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.08 - -0.08. Let q = w + 1.7. Which is the nearest to q? (a) 2\/7 (b) 0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 - 7. Let d = r + 2.2. Let x = 103 - 823\/8. What is the smallest value in d, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*r - 1, -6*c = r - 317574 + 317548 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51161 - 28946. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, m: 4, l: 6}. Give prob of sequence mlm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*(-3)\/(-9)*4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18*-2*(-12)\/16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 9*x**2 - 5 + 3 - 227*x**2.\nAnswer: -218*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1381130, -1381125, -1381120, -1381115, -1381110?\n\"Answer: 5*t - 1381135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m = -17*m + 307040. List the prime factors of m.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1239158 from 415.\nAnswer: -1238743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*f - 3 + 22 = 0, 2*f = 5*y + 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d + 4*p - 3386, 4*d - 2717 = 5*p. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 7*q = -16. Suppose -q*l - w + 18 = 0, 5*w - 23 = -2*l - 13. Solve -6*k + l = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -2*f**5\/55 + 8*f**4\/11 - 10*f**3\/11 + 43. What is k in n(k) = 0?\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Let p(h) = 2*h + 1. Let q(r) = 3*p(r) + 5*u(r). Let g be q(4). What is the first derivative of 4*v**3 - g + 7 + 0*v**3 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -54525?\nAnswer: -54531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892347.\nAnswer: 3, 17, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*x**3 + 976*x**2 - 976*x**2 + (18*x + 5*x - 8*x)*(-2*x**2 + 0*x**2 + 4*x**2) to t*x**2 + b*x**3 + f + w*x and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510204.\nAnswer: 2, 3, 17, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/453596 and -149\/5124?\nAnswer: 9525516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 2\/3, 0.1, -0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38538975023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((sqrt(300)*-2 + 4)*3 - (-2 + (sqrt(300) - (sqrt(300) + 2))*3))**2).\nAnswer: -56015 + 12000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3.035707?\nAnswer: 5.035707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 + 27 = 0. Let h be (-9)\/(-6)*2 + 107 - 0. Suppose 9*w - h = -13*w. Solve s = 2*k - w*d, k - 3*d - 1 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 65*o. Let v(z) = -13*z + 14. Let u(d) = -9*d + 10. Let h(k) = 7*u(k) - 5*v(k). Determine h(m(w)).\nAnswer: 130*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*w + 2*w - 22 = 0, z - 23 = -5*w. Suppose 5*m + 13 = -2*x + 52, 0 = -x + z*m + 3. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i + 17. Give q(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -725, -734, -755, -794, -857, -950, -1079?\n\"Answer: -n**3 - 2*n - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*t - 80 = 0, 2*t = 5*c + 7*t + 40. Let f be (0\/(c\/3))\/(-2). Suppose f = k - 4*q - 5, -4*q = -k - 3*k + 20. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12 and -17\/3480?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.675? (a) 2\/11 (b) 1 (c) 0.2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 5*b**2 - b - 4. Let n(x) = 5 + 4*x**3 - 3*x**3 + x - 6*x**2 + 2*x**3 - 5*x**3. Calculate -6*m(l) - 5*n(l).\nAnswer: -2*l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -16. Let v = d - -22. What is the remainder when 35 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1925 - -0.3623. Let j = -0.1191 + f. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-14)*w)\/w**(-1\/11) assuming w is positive.\nAnswer: w**(-131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -134323469.\nAnswer: -134323472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 539*q**2 - 63*q + 55870. Give p(-270).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1700 + -1628 - (-1 + 1 - -5)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 112608374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 824*w + 84872 = 0. Calculate w.\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 310177139 a multiple of 6939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Suppose -4*r - 12 = 4*z, 0 = -2*r - 2. Let w be ((-1)\/(-3))\/(1\/z). Is w bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*w - w = -375, 126 = 2*j + 4*w. Is j a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 107*c**2 + 1709*c - 645. Give m(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 67\nAnswer: -28\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 6, -d - 9 - 16 = 4*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(22)\/sqrt(2) - 1*(sqrt(11) + sqrt(11)*-2).\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (28\/63)\/((-11)\/(1320\/64))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3 + 3)*(113 - 12 - 15)*(2 + 1 - 8).\nAnswer: 430*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*m**3 - 2*m + 3*m - 13*m**2 - 1 to h*m**2 + f*m + c + x*m**3 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15295 - -16893. What is the highest common divisor of 1222 and i?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10025 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 u(c) be the second derivative of -c**6\/240 - c**5\/80 + c**4\/8 + 5*c**3\/6 + 2*c**2 - 9255*c. Factor u(g).\nAnswer: -(g - 4)*(g + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 158909 from -2496.\nAnswer: -161405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110000101100001 + 110?\nAnswer: -10011110000101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -43*d + 2 + 229*d**2 + 20*d**3 + 39*d - 18*d**3. Let v(c) = -c**2 + 2*c - 1. Let b(x) = -p(x) - 2*v(x). What is the third derivative of b(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**1)\/l*l)\/l**(-2\/7))\/(l**(-1)*l\/l**(-7))*(l**1)**4\/(l**(-2\/5)*(l**4*l*l)\/l) assuming l is positive.\nAnswer: l**(-256\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 7*y - 16. Calculate b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - -5) - 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52404413563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -360197, -360160, -360063, -359876, -359569, -359112, -358475?\n\"Answer: 5*b**3 + 2*b - 360204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11004 times 16860\nAnswer: -185527440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b**(-25)\/b*b*b)*b*b)\/b*b)\/b)**(-3\/14)\/(b\/(((b*b**(-26))\/b)\/b)*b*b*b**(-20\/3)) assuming b is positive.\nAnswer: b**(-598\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164137000 rounded to the nearest one million?\nAnswer: 4164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18*((-1)\/(-5))\/((-4)\/30). Let k = 90 - q. Suppose -70 = -j - k. Round j to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (320\/4)\/(-4). Suppose 2*s - 17 = 5*n, -n + 13 = s - 5*n. Put -2, 3, s, c in decreasing order.\nAnswer: c, 3, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1873 + 50.1873. Which is the nearest to 0.2? (a) 2 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {g: 1, r: 7, f: 2, u: 2, c: 6}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 33*n + 64. Let i be -16 - -1*6\/3. Let w = i - -26. What is the least common multiple of l(-31) and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(13) + sqrt(26)\/sqrt(2))*5.\nAnswer: 15 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 127, -0.01, 4, -0.1, -0.3, -188?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odxu when four letters picked without replacement from oudoxx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 5. Let y be t(-8). Suppose 16 = y*z + 1. Let s = -612\/1505 - -2\/301. What is the nearest to s in z, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h + 0*h)*((1 + 2 - 1)*(1 - 1 + 2*h) + h - h - 3*h) + (-4*h + 0*h + 3*h)*(-h + 6*h - 3*h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 6*j)*(-j - 4*j + 7*j) + 2 - 2 + 1 + 6*j**2.\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = 2*o - 1, -5*a - 3*o = -5. Let r = 0 + a. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/60 + 1809*p**2. Let o(c) = -17*c**2 + 2*c. Calculate -o(m) + 6*s(m).\nAnswer: 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191593.\nAnswer: 3, 19, 38449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3885)\/(-5920))\/(84\/(-48))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 34*a = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((377\/2001)\/(-13))\/((-2)\/(-12))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 92*d - 1284*d in the form b + l*d and give l.\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9549, 11467, 14663, 19137, 24889, 31919?\n\"Answer: 639*h**2 + h + 8909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175.485 + -175. Let i = q - 0.5. Round i to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*i + 10, 4 = 5*h - i - 5. Is h less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016678 to seven dps.\nAnswer: -0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*h = 4*i, -11 = 5*i - 4*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 29*l**2 - 3*l + 7. Let a(x) = 85*x**2 - 9*x + 20. Calculate 6*a(y) - 17*u(y).\nAnswer: 17*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-40)*335\/9. Let k = t + -343\/30. Is k less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5 - 7, 2*w - r - 29 = 0. Solve 4*j - 15 = -5*i - j, 2*i - 3*j + w = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:30 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*d - 64*d - 1 + 49*d + 0*d - 8*d - 2*d + (0 - 2*d + 0)*(5 - 1 - 1) to a + s*d and give s.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 251 = -5*c, 3*t = 3*c + 96 + 63. Let z(l) = -37*l**3 - l**2 + 1. Let j be z(1). Let p = j - c. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - w + 3. Suppose -8*k = -9*k - 2. Let h(l) = -l**2 - l - 1. Let y(j) = k*h(j) - a(j). Calculate y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m = 154*m + 610 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(363) + 5.\nAnswer: 5 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71451 + -1289261\/18. Let c = 347\/2 + d. Calculate the common denominator of c and 6\/28 - (-1)\/2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjy when three letters picked without replacement from {j: 7, y: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 25 + 18*u - 21)*(-2 + 2 + 2*u**2).\nAnswer: 36*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-99*i**2 + 360*i - 182*i - 178*i)*(-12 - 18 + 6)*(2 + 6 - 4) to the form c*i + y + q*i**2 and give q.\nAnswer: 9504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 866.6199mm?\nAnswer: 866619900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 7 + 0 + (-848 - -835) + -115?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)*(-189)\/42*(-76)\/(-171). Factor 5\/4*t**u + 0*t - 5.\nAnswer: 5*(t - 2)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - -1102?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.4 (c) 29 (d) -2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -14*w + 39. Let t(p) = p**3 - 3*p**2 - 7*p. Determine t(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 19b4?\nAnswer: 19c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = -27*f + 4. Let z be 10025\/((f\/((-1600)\/(-12)))\/3). What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342615?\nAnswer: 5, 263, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/279, -0.4, -3, 0.3 in descending order.\nAnswer: 1, 0.3, 1\/279, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:58 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -37769 divided by -6?\nAnswer: 37769\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 17.1. Let x = 1 + u. What is the closest to x in 2, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*i - 125356 = -16*i. What is the remainder when i is divided by (-1)\/4 - 141\/(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-12)\/16). Let t = a - -6. Let k = 9 - 7. Solve -4*m = -k*q, -t*q - 2*m + 22 = m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207\/791 or 0?\nAnswer: 207\/791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyybyll. What is prob of sequence blly?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 359126 >= 359126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -2\/7, 1\/4, -1\/12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 8*a**2 - 4*a + 6*a + 7*a**2 - 8*a.\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 96758.04, 4, -4, 2\/7?\nAnswer: 96758.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 11*h**2 - 11*h - 61. Let m be p(9). Which is the biggest value? (a) 0 (b) -10 (c) -0.08 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44211.537 to the nearest 10.\nAnswer: -44210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -5024\/1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 0, 3120, -2510 in increasing order.\nAnswer: -2510, -3, 0, 3, 3120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 701511, -4, -157 in decreasing order.\nAnswer: 701511, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 104 + 1610 = 2*m, -3764 = -5*m - 2*b. Let l be (-15)\/(1*(-12)\/m). Suppose -g = 4*v - l, -2*v + 1175 = 3*v + 4*g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 11 (b) -5\/942 (c) 2\/5 (d) 6 (e) 2\/9 (f) -0.5 (g) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1732 + -1943.1. Let g = -211 - v. What is the closest to g in -3, 4, 10\/11, 5?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*(c\/c**(-1\/22))\/c)\/c))\/c)\/((c**(-8)*c)\/c))**7*(c**(-1\/2)*c)**5\/(c**6*c*((c\/(c*c\/(c*c**(-1\/4))*c))\/c)\/c) assuming c is positive.\nAnswer: c**(2395\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612347 is divided by 870650?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 5*j**2 + j - 3. Let p be (10\/4 - 3)*6. Let u be y(p). Let a = u - 10. Calculate the remainder when 8 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u + 98 = 51*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14925 and 356409.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 7*n**3 - 365*n + 170*n + 175*n.\nAnswer: 7*n**3 - 4*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34484 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 8 - 14 - 22*z + 0 - 5*z**2. Let y(g) = -g**2 - 11*g - 11. Let k(p) = 2*a(p) - 5*y(p). Let t be k(12). Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9482, 19083, 28788, 38597, 48510, 58527?\nAnswer: 68648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 68, -75, -322, -673?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109661 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.03, 1\/2, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1. Let p(y) = 2*y - 4. Suppose 7*j - 4*j - 4*u = 5, 0 = -4*j - u - 25. Determine j*z(f) - p(f).\nAnswer: -2*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7296*f*l**2*o**2 + 2*f*l*o**2 - f*l*o - 2*f*l + 4*l**2*o + 261*l**2 + l*o**2 wrt o.\nAnswer: 14592*f*l**2 + 4*f*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, 72, -2, -36, 3 in decreasing order.\nAnswer: 72, 3, 2, -1, -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - r)*(5*r - 6*r + 5*r)*(4*r - 4*r - r)*(r - 5*r + 3*r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -133*j**2 - 76. Let l(w) = 1. What is -76*l(x) - m(x)?\nAnswer: 133*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2. Let l be n(1). Let x(m) = m**2 - m - 1. Let p(q) be the first derivative of -q**3\/3 + q**2\/2 + q + 103. Determine l*p(u) - x(u).\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(66880\/(-400)))\/((-1)\/(-33)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 54 - 52*o - 37\/2*o**2. What is the derivative of b(d) wrt d?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24*g - 150. Let q be d(5). Which is smaller: q or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3759 + 5474. Calculate the common denominator of (9\/(-60))\/((-84)\/h) and 226\/(-88) + -1 + (-65)\/(-55).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/5)*(5\/30)\/(4605\/(-309456)).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546985532?\nAnswer: 2, 7, 13, 6997213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17994.41 years to months.\nAnswer: 215932.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 12*j - 4. Does 8 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 34. Suppose -o = 4*a - 27, 0 = 3*o + 19*a - 15*a - 57. Give s(o).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3991*s**5 + 3669*s**2 wrt s?\nAnswer: -239460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -o - 4 - 1, 5*b - 4*o = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t. Let g(n) be the first derivative of -5*n**2\/2 + 15. What is d(g(j))?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26086558 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-13)*(-3)\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggs when four letters picked without replacement from sgsssgcstggsgsgs.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2580*k**2 - 944*k**2 - 937*k**2)*(0 + 0 + 2*k).\nAnswer: -8922*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 0, 6*y - 5*y + 3 = 4*h. Let f be y + -3 + 2 - -15. Is 16 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 1.62822?\nAnswer: -29.30796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 100771554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1657 + 1770. Solve 11*w + 146 = x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -337 - -751. Round n to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 754923.5mm?\nAnswer: 0.7549235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10513825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 7*v. Let s be x(7). Suppose -3*i + s = -f - 23, -2*i - 6 = 2*f. Let g = -83\/170 - -3\/34. Is f not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (0 - 7 - (-36 - -39)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -11118?\nAnswer: 11115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000717 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 16*b**2 - 17*b**2 - 12*b - 7*b - 10 + 11*b. What is k(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/(((-308)\/1078)\/((-3)\/21))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 40*n + 35466. What is p(212)?\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 254 = 3*u, 3*a + 68 = 6*u - 5*u. Which is bigger: 84 or u?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -171a - d0?\nAnswer: -180a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*c**2 + 18*c**2 + 20*c**2 + 18*c**2 + 21*c**2 as v*c**2 + b*c + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4959 - -342163\/39672. What is the common denominator of 3\/578 and h?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83860 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-294)\/(-6))\/7)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, 5608, -0.12 in descending order.\nAnswer: 5608, -0.12, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 + m**2 + m**6 + 0*m**6 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r - 7. Let i be o(3). Sort i, 2, 0 in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-1)\/(-3) - (-3458)\/(-798). Let g(j) = 3*j**3 + 3*j**2 + 2*j - 4. Let o(f) = -3 + 4*f**3 + 2*f**2 + 3*f - 2 + 2*f**2. Give r*g(z) + 2*o(z).\nAnswer: -z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -370, -4 in descending order.\nAnswer: 2, -4, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -23. Let b(w) = w**3 - w**2 + w. Let i(c) = -5*c**3 + 8*c**2 - 6*c. Give z*b(m) + i(m).\nAnswer: m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) - (3 + -2 - 2). Let b be (-787)\/20 - (-2)\/(-5). Let s = b + 40. What is the nearest to -1 in m, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5258 and 16730?\nAnswer: 184030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*g - 558 - 1071 + 1629.\nAnswer: -62*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 49*d**2 + 27*d - 66. Give k(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 4*p - 2. Let d be v(-4). Let t be ((-12)\/(-15))\/(1\/25). Let w be (d\/(-15))\/(4\/t). Which is the nearest to w? (a) -0.3 (b) -1\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 519 + -508. Suppose -3*v = u*v - 38626. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q**2 - 6*q + 5. Calculate k(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38bbb4 - 5?\nAnswer: 38bbad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6769, 4901, -173, -10055, -26347?\nAnswer: -50651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {y: 1, q: 2, w: 2, d: 4, g: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpppppppcpppp. Give prob of sequence pcp.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2126 and 21\/22.\nAnswer: 23386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.026? (a) 2\/5 (b) -0.2 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31392 - -58771. Let o = -9779 + s. Round o to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3606893, -3606886, -3606879, -3606872, -3606865, -3606858?\nAnswer: -3606851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-6*(sqrt(117) + 0))**2 + sqrt(117) - (1 + sqrt(117) + 4)).\nAnswer: 16828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*r + 14*r - 23*r - 4*r + 4*r - 2*r + (-r + 0*r + 3*r)*(2 - 1 - 2))*(5 - 3 - 3) - 7*r - r - 3*r.\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/3427460 and -83\/1028238.\nAnswer: 10282380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(42) - sqrt(336)\/sqrt(8))\/sqrt(7))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-2*r - 1 + 1)*(-99 - 195*r + 123 + 178*r) to the form b*r**2 + v + l*r and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 42.1, 0, -9\/202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 12. Let o be 2\/((21\/6)\/7). Let a(i) = -8 + 2*i**2 + o*i - 3*i**2 + 2*i**2. Determine a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 = -3*s + 19, s - 4*n - 9 = 0. Solve 3*d - 4*u + u - 3 = 0, 0 = -2*d + s*u - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -1.9 (c) 25246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*h = 23618, 8*d + 118006 = 13*d - h. What are the prime factors of d?\nAnswer: 2, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/3 + 48*o. Let i(f) = 95*f. Determine i(s(b)).\nAnswer: -190*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*x**2 + 14*x**2 + x**3 + 17*x**2 + 19*x**2 + 88 + 7*x to the form z*x**3 + v*x + m*x**2 + t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4844 and 1481256.\nAnswer: 256257288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -657766332.09 + 657766613.09000027. Let h = r - 281. What is h rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 0*q + 0*q**3 + 9*q**2 - 1\/4*q**4 + 4. Find the second derivative of k(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031963341 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 383350800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.271685 milligrams?\nAnswer: 0.000000000271685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(3 - 63\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:54 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172077, -344147, -516213, -688275?\nAnswer: -860333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**4*s*v - 4454757*a**3*s*v + a**3*v - 6*a**2*s*v + 2*a**2 - 9*a*s*v + 2*a*s + 51*a - 5*s*v - 2*v wrt a.\nAnswer: 72*a*s*v - 26728542*s*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4410.4191 + -4405. What is j rounded to 1 decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + 58\/(-56). Suppose 2*m + 20 = -2*m. Let s = 4 + m. What is the nearest to s in z, 1, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 - 193.086. Let m = 0.156 + x. Which is the second biggest value? (a) 0.08 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4964905 is divided by 496483.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/4*34\/34*-6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -452410000 rounded to the nearest one million?\nAnswer: -452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193 or -1575?\nAnswer: -1575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2 + -2 - 0). Suppose 12*r - 3 = 11*r. Suppose 15 = r*v - u*n + 5*n, 0 = 2*n. Let d(x) = -x**3 + 6*x**2 - 5*x + 6. Calculate d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3263 and 1506?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*l - 3*l - 16*l)*(1 + 2 - 1) - 4*l + 0*l + 2*l + (3 - 2 + 2)*(-l + l + 2*l) - 3*l + l + l + (1 + 1 + 1)*(2*l - 2*l + 3*l) + 3*l - 3 + 3 - l + 1 - 1.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/280 - m**5\/20 + m**4\/7 + 8*m**3\/7 + 57*m**2 + m. Find h such that q(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10121928.\nAnswer: 2, 3, 29, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386.9 + -387. Which is the third smallest value? (a) -0.22 (b) q (c) -5\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 23.11. Let y = x - -0.09. Which is the closest to 0.1? (a) y (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 3 + i)*(6 + 3*i - 6).\nAnswer: 3*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34\/15*y + 8\/15 - 8\/15*y**5 + 32\/15*y**2 - 26\/15*y**3 - 8\/3*y**4 = 0.\nAnswer: -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 28. Calculate the highest common divisor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14684 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5203.584 nanometers?\nAnswer: 0.000000005203584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868895 - -7827959\/9. Let l = g + -886. Calculate the common denominator of l and ((-101)\/3)\/((-8)\/3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*t + j - 38, 5*t - 41 = -2*j. What is the lowest common multiple of t and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -31.8, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 62*i**4 - 390*i**3 + 3718*i**2 + 35152*i = 0.\nAnswer: -13, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-3)\/9*9. Let r(l) = -l**2 - 11*l - 16. Let n be r(v). Solve 0 = -5*m + n - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (2 - -3))\/(3\/5). Find the second derivative of -12*s - 12*s + s - 15*s**d wrt s.\nAnswer: -300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**3 + 4*z + 1. Suppose 2*k - 1 = 3. Let h be x(k). Let q = -26 - h. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*y**2 - 223495*y + 127700 = 0. Calculate y.\nAnswer: 4\/7, 6385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0756 and 346 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 19 = 4*q, -4*r - 3 = 9. Is -1\/23 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 39 + 33 = 0. What is the greatest common divisor of d and 7692?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubppubpbrp. Give prob of picking 2 u and 2 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 112. Let p = 53 + -27. Calculate the remainder when d is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/4*10*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8282*c**2 + 24771*c - 221. What is t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 5, l: 1, z: 2, o: 4}. Give prob of picking 2 o and 2 j.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:01 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*z**3 - 150*z**3 - 2 + 2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(-2*sqrt(5)))\/(-1*sqrt(54)) - (3*sqrt(1176))\/(sqrt(48)\/(1*sqrt(6))).\nAnswer: -125*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 - 23*i + 9. Let u be o(7). Let a = -2793\/4 + 11255\/16. Find the common denominator of a and 668\/9*18\/u - 4.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Let q(n) = -n**3 + 288*n**2 - 252*n - 10040. Let l be q(287). Which is the closest to -1? (a) 9 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92846779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -6, -0.27 in decreasing order.\nAnswer: -2\/21, -0.27, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1\/3))*f\/f**2)**(-18)*f**8*f**0*(f*f**(-2))**(-29\/3) assuming f is positive.\nAnswer: f**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8195360 and 46112?\nAnswer: 90148960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 - p**2)*((1 - 1 - 2)*(5*p - 2*p - 2*p) + p - p - 2*p)*(3*p**2 - 2 + 2).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*340\/510\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 136 = 284. What is the remainder when d is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4424205 (base 6) to base 9\nAnswer: 366455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1084 - -9802\/9. Suppose -130 = -2*b - 3*b. Calculate the common denominator of q and b - (1 + 3\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -490, -455, -408, -343, -254, -135, 20, 217?\n\"Answer: p**3 + 28*p - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 2*u**2 - u - 1. Let g be y(-1). Suppose 2*b - 7 - g = 0. Solve 0 = 3*d - d - b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.43492 nanoseconds in seconds?\nAnswer: 0.00000005543492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 i, 1 q, and 1 n when four letters picked without replacement from {c: 4, m: 4, q: 3, n: 2, i: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/7 + 432*y**3\/7 - 30722*y**2\/7 - 593952*y\/7 = 0 for y.\nAnswer: -269, -16, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437583 is divided by 29147.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -1 (c) 1 (d) -0.2 (e) 11\/92 (f) -222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588922 is divided by 252.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24*(-7 - (-494)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*g = -616*g + 644 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-346)\/(-12) - (-3495 - -3524).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/12)\/(2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*h - 2*h - 775, -2*l - h + 512 = 0. What are the prime factors of l?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.43\nAnswer: -0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212210 (base 3) to base 13.\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -12*i - 3960. What is the tens digit of -21*(-1)\/(-3) - i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -218, -164, -90, 10?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + f + 3*f = 36, -2*f = -w + 12. Suppose -30 = w*c - 14*c. Is 17 a factor of (-603)\/6*(-10)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 14 = -2*o. What is the remainder when 1 + 1 - (4 - o) is divided by 2\/(6\/(-3)) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 5. Let p be g(5). Let j(l) = l**3 + 2*l**2 + l + 1. Let k be j(-2). Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81792 less than -81797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - r**4 - 18*r**2 + 37*r**2 - 21*r**2 + 7*r**3 to o*r + p*r**3 + l*r**2 + a*r**4 + m and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*p - l + 6, p - 15 = 3*l. Suppose 0 = -p*n + 183 - 129. Solve -3*w - 21 = -3*c, 0 = w - 4*w - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(sqrt(13) + -1)*-6)**2 + -3.\nAnswer: -1296*sqrt(13) + 8214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 40 = -3*w, p = -w + 3*p - 4. Is w at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-3)\/((-9)\/(-6))). Suppose -10 = -t*l - 5*l. Let -2 + 2*z - 1\/2*z**l = 0. What is z?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -824 - 812 + 1636 - 2485*m as u*m + o and give u.\nAnswer: -2485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19)*3 + -2 + sqrt(171)\/(-4*sqrt(9)) - (-1 + sqrt(1900) + (0 + sqrt(19))*-3)*-2).\nAnswer: -8 + 67*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4 and -1557842\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12*k - 9*k = -261, 5*k = 2*a - 165. Suppose 100*x = 91*x + a. Solve -3*y + y = x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 0 + 216*9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 11174.3\nAnswer: 4469.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*t - 1, -4 = 20*p - 19*p - t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1966 (c) 2\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 126 - 57 - 69 + 2*y. Let p(x) = -3*x**2 - 13. What is h(p(d))?\nAnswer: -6*d**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 34*c - 2. Suppose 5*o - 31 + 21 = 0. What is the units digit of g(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 16991991.\nAnswer: 271871856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 344 + 4 = 0. Suppose 2*n - m = -0*n. Suppose -4*h - 11 = -3*g, -2*g - 4*h + n = -0*g. Solve -x - 2*x = -g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 13*o + 2. Let t(a) = 7*a**2 - 26*a + 5. Let u be (4\/12)\/(-1)*-27. Let h(g) = u*j(g) - 4*t(g). Is 3 a factor of h(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -567*r**2. Let w(c) = 1303*c + 1281*c + 1307*c - 3867*c. Determine w(i(d)).\nAnswer: -13608*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 107. Find the common denominator of ((-11)\/(-594))\/(y\/(-240)) and -61\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 times 0.2\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15632743.\nAnswer: 7, 389, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051205?\nAnswer: 3, 5, 13, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126551 rounded to 4 dps?\nAnswer: 0.1266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*q = -17, -5*b + q + q - 5 = 0. Suppose -t - 4*p + 2 = 0, 0*t + 3*t + 4*p - 14 = 0. Is 2\/t*(20 + b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)*3 + sqrt(105))*4)\/(sqrt(720)*-1 + sqrt(720) - sqrt(5)))\/((-6*sqrt(15)*3)\/(3*sqrt(320) - sqrt(320))).\nAnswer: 128*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 389172 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*z - 164 = 2*w + 318*z, -3*w - 260 = 2*z for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 81 = 6*q. Suppose -7*y + 6*y = -q. Let j = 19 + -10. Calculate the greatest common divisor of y and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(1\/7)*n))*n)\/n*n*n\/n**(-5\/4))\/(n**(-2)\/n)**(2\/131) assuming n is positive.\nAnswer: n**(16281\/3668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -10. Let w = 12 - b. Let v be (4 + -2)*1*5\/15. What is the biggest value in v, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -24?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3\/80 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122336?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 2*n - 1. Give t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:00 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-1)*(6557\/(-1245))\/79?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/4 - 3320*z + 2204480.\nAnswer: 5*(z - 1328)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2. Let z(p) = 2*p**2 - 106050*p + 2. Give z(o(h)).\nAnswer: 32*h**4 - 424200*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930550688.\nAnswer: 2, 13, 29, 421, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(729)*3).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 492258775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1 - (-8)\/4. What is the third derivative of 2*o**6 - 4*o**3 + o**3 - 3*o**2 + l*o**3 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*q - 243 - 253. Solve o - 2*l = -7, -3*l = -2*o - 0*l - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3)*1) + sqrt(5))*-2*-6.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 408934964 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3733, -3748, -3765, -3784, -3805, -3828?\n\"Answer: -c**2 - 12*c - 3720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rricciiirrrirr. What is prob of picking 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**7\/490 + k**6\/420 - 10*k**2 + 19. Let l(s) be the second derivative of r(s). Factor l(p).\nAnswer: -p**3*(3*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -30. Suppose 8*o - 2060 = u*o. Suppose -6*b + o = 34. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -120022121120?\nAnswer: -120022121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.81827mm to meters.\nAnswer: 0.04781827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34897*n + 2*n**3 + 34897*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33219 - 33218. Let x = 0.3 + -1. What is the nearest to -0.1 in 4, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554526 is divided by 663.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 5. Let z(s) = s**2 - 57*s + 58. Let j be z(1). Suppose -j*y - 590 = -602. Solve 0 = 3*t + 2*o - k*o + 2, 2*t - 5*o - y = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*-5)\/((sqrt(14)*-2)\/sqrt(2)) - (4*sqrt(272) + -2 - (sqrt(85)\/(sqrt(20) + sqrt(5)) + (-2*sqrt(102))\/sqrt(6))).\nAnswer: -151*sqrt(17)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(7\/(-6)) - 6\/3. Find the common denominator of (c\/(-56))\/(3\/104) and 26\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24727939 a multiple of 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*q = -250, q - 5*q = 4*o - 472. Let b = -68 + o. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -140, -156, -188, -242, -324?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 1, w: 5, k: 4}. Give prob of picking 1 w and 2 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npxnfxyffxpgynf. What is prob of picking 1 p, 1 x, and 1 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 24*g + g - 60 + 0*g - 9*g. What is the remainder when n(7) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14121377843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/4*(-32 + -28084). Let u = t - -67420. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04 (b) -67\/23 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r. Suppose r = z - j + 4 - 11, 3*z = -5*j + 29. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:44 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0 + 0) - 0. Let b = -5344 - -213771\/40. Let p = b + -2\/5. Put p, l, 4\/5 in decreasing order.\nAnswer: 4\/5, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**3 + 3*l**2 - l. Give k(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 1232?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.92 + -14. What is the nearest to -1 in -2\/9, -4\/9, v?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.28. Let s = 0.02 - g. Let u = -1.2 - -0.2. Put -3, s, u in ascending order.\nAnswer: -3, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 1. Let h be i(-6). Let l = -5 + h. Is 0 + (l - 6*-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23799412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142 and 1278.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 31*x - 45. Let z be t(9). Which is the second smallest value? (a) 2\/5 (b) 0.1 (c) 49 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21521 * 4.4433.\nAnswer: -0.956242593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 11*v**2 + 9*v - 11. Let j = 23 - 33. Let t be y(j). Let l = 15 + t. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 171\/19 + 4\/2. Let n(z) = -z**3 + 5*z**2 - 5*z + 4. Calculate the lowest common multiple of ((-22)\/h + (-16)\/(-6))*15 and n(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**13\/m*m)\/(m*m*m\/(m\/(m*(m*m**(-20))\/m))))\/(m\/(m\/(m*m**(-2\/9)))*m)**(-2) assuming m is positive.\nAnswer: m**(302\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 235?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/2*(-27)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 271? (a) 2\/9 (b) -5 (c) -4 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9209.\nAnswer: 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 311.1 and 40.9?\nAnswer: 12723.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9*i - 52 = 0, 3*n + 12*i - 16 = 14*i. Solve -9*v - n = -26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 5*b - 80, 13*j - 3 = 4*b - 76 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3558 and 1.9.\nAnswer: 6760.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*n + 20 = 8, -t = 5*n - 22. Suppose 5*m = 2*l - 13, t*m = 8 - 2. Calculate the lowest common multiple of 98 and l.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 + 100. Let x = w + -5. Let t = 133 + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b40 (base 15) to base 2\nAnswer: -1011100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 3 = 0. Suppose -10 - 62 = -x*i. What is the remainder when i is divided by (-26)\/3*6\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7997420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0.04. What is the second biggest value in 6, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32264.8928 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 118?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171913*b = 171903*b + 490 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 66dd41?\nAnswer: -66dd46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150337656*y**4 + 27*y**2 + 3519639*y wrt y?\nAnswer: -3608103744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d96 - 119?\nAnswer: -3eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 793932.4t?\nAnswer: 793932400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x + 56. Let b(d) = 30*d - 154. Let p(a) = -4*b(a) - 11*w(a). Let o(n) = -1123*n + 9. Calculate o(p(s)).\nAnswer: -1123*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 883.3911 millilitres?\nAnswer: 0.8833911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = 4*t - 5, -4*m - 5*t = -20. Let o be (m + -6)\/(1\/7). Let z be (-4)\/8*(o + -1). Solve 7 = -3*f + 2*l, 6*f - z*f = -l + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 172\/344 - (-622)\/4. Suppose -2*c - c - 1034 = -5*m, 0 = m - 2*c - 204. Calculate the greatest common factor of m and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**5 - 2*p**3 + 3*p**2. Let r(v) = 29*v**3 - 18*v**2 + 48*v. Let h(k) = -5*n(k) - r(k). Find the third derivative of h(o) wrt o.\nAnswer: -300*o**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-29)*a)\/(a*a\/a**7)*((a\/(a**(2\/19)*a))\/a)\/(a\/a**(-3\/13)) assuming a is positive.\nAnswer: a**(-6011\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 34469917.\nAnswer: 5\/34469917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91820448 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*y + 26, 9*x - 28*y - 49 = -23*y. Solve 15*v - x = 16*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*a = -3*l - 17, -9 = 3*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 2*l**2 + 2*l + 1. Let x be c(-1). Suppose x*r = 5 + 11. Suppose 59*t = 2*p + 55*t, 4*p - 7 = t. Sort p, r, -1 in descending order.\nAnswer: r, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11 or 1219259?\nAnswer: 1219259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - -96. Suppose t + q = -2*t. Let m = -37 - t. Calculate the greatest common divisor of m and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-196)\/8) + 620\/(-2415)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 2. Let c = -726 - -726. What is the closest to c in p, -0.01, 3\/8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + -1002200101?\nAnswer: -1002201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132133 - -293.8613086.\nAnswer: -131839.1386914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from mmmmttmmmm.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 11 = -i + 55, 0 = -5*z + 3*i + 28. Let s be ((-2 + 8)\/(-2))\/((-6)\/z). Solve 2*c - s = -2*q, 2*q + 3*c - 10 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - g + 4*g)*(-82 - 32 + 78) - 2 - 2*g + 2 to n*g + t and give n.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - n**3 + n**3 + ((-3*n + 2*n + 3*n)*(9*n - 19*n - 9*n) + 0*n**2 + 0*n**2 - n**2)*(4*n + 0*n + 0*n) to t*n**2 + p + v*n**3 + g*n and give v.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13478.\nAnswer: 2, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5118*t - 6 = 3*b - 5122*t, 5*t - 19 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -25 + -40 - (8 + -8 + -8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2953d3 (base 16) to base 15.\nAnswer: 387775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67149*o + 67183*o + 3570 = 0 for o.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(3*sqrt(16)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1013101 (base 4) to base 10\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1281, 2585, 3917, 5277?\nAnswer: 6665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 + 187 - 2*w**3 - 377.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-28 + 28))*1\/(-8)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**(-16)\/(t**0\/(t*(t\/((t**(1\/2)\/t*t)\/t))\/t*t)) assuming t is positive.\nAnswer: t**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11264 + -3?\nAnswer: 11261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 18 = 9. Suppose h*q + 37 = 91. Let f be (-3)\/q + 0 - 584\/(-48). What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.060675 weeks?\nAnswer: 1246296.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r + 3*r + 2*r**2 - 12*r**2 - 9. Let p be v(9). Suppose p = 4*o + 5*m - 17, -3*o + 0*o = 4*m - 13. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 26. Suppose -4*m + t*m - 100 = 0. Let o = m - 21. Solve -o*r - 9 = -25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38505785359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 104846?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10008\/217 >= 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -5*n + 5*a, 4*n - a = 2. Let w be 759\/161 - (-2)\/7. Solve -3*t - u = 3*u + 1, -w*t - 4*u = -n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-19)*l*l**37*l)**(-15))**45 assuming l is positive.\nAnswer: l**(-40500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12462342 (base 7) in base 10?\nAnswer: -1141338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.1. Let r = -991 + 1038.9. Let l = r + -65.9. Put l, 3, d in descending order.\nAnswer: 3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1931.05 minus -9300.4821?\nAnswer: 7369.4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.033853*1.487\nAnswer: -0.050339411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3 + 6838*t**2 + 82164*t + 246600 = 0?\nAnswer: -6, 6850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99949?\nAnswer: 127, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 26. Sort y, -5, -2 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/5 - 71*u**2\/5 + 271*u\/5 - 201\/5 = 0.\nAnswer: 1, 3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -863403287.686?\nAnswer: 863403287.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -181*(4\/(-3) - -1). Let k = 2 + -63. Let h = k + i. Which is the third biggest value? (a) -0.1 (b) 12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and 1.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*514.\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 11. Let o = -8 - n. Is -1 + 50 - o*3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -22423.\nAnswer: 1\/22423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56047 - -87747. Round s to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -4810*a**3 + 4*a**2 + 4802*a**3 + 2*a - 33*a. Differentiate q(u) wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {f: 3, n: 1, t: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let c(n) be the third derivative of n**7\/2520 - n**5\/12 - n**2. Let d(g) be the third derivative of c(g). Determine d(r(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k = -9*k. Suppose -33 = 5*c + 3*q, 4*c = -7*q + 3*q - 28. Let y = -1 - c. Solve 0 = 4*i - 2*m + 12, k = -0*i + 5*i - y*m + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1266.38644273795 - 1266.346936. Let b = q + -49.03950819795. Let n = b + 49. Round n to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 46 + 170. Suppose 4 = -2*k, p = y + y + 2*k. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -3.3. Let j = 2322.006 - 2322. What is the closest to j in -2, s, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97681938 to the power of 1\/2, to the nearest integer?\nAnswer: 9883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 6, 27, 68, 135?\n\"Answer: y**3 + y**2 - 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30673, -61389, -92091, -122779?\nAnswer: -153453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/2))**(-1\/11)\/(h*h**(-5)*h\/(h*h**(-1\/5))) assuming h is positive.\nAnswer: h**(413\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*h*j**2 + 219*h - 6*j**2 wrt j.\nAnswer: 340*h*j - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z - 13. Suppose -4*b - 4*a + 6*a + 990 = 0, 3*a + 738 = 3*b. Let d = b + -238. Let p(o) = 7*o - 7. What is d*p(x) - 6*v(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let q be ((-8)\/10)\/((-8)\/20). Let b(j) = q*j - j + 1 + 0*j. Calculate -2*b(h) + 2*w(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47883*q + 96 = 47871*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(425\/45))\/(4\/(-10))*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/4991 + 13096428\/54901. Let n = k - 239. What is the common denominator of (2\/4)\/((-1)\/(-41)) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -132*n**5 + 1102*n**4 + 15710*n**3 + 8240*n**2 - 16808*n + 2688 = 0.\nAnswer: -7, -3\/2, 2\/11, 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4269516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -279*g + 285*g - 72. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**8\/168 + c**5\/15 - 5*c**2. Find the third derivative of k(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6431089841 - 21\nAnswer: -6431089862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -75.7 > 4\/1065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 12*d**2 + 9*d + 23. List the prime factors of l(-11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743*t - 705*t - 342 = 0. Solve -3*b - 37 = 13*h - 18*h, 5*h - t = -4*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 (base 12) in base 5?\nAnswer: 12310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3 + 21004*g**2 + 2236085*g + 2215082 = 0.\nAnswer: -20897, -106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1.41, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153760496 by 328.\nAnswer: -468782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 309959 + -375670265\/1212. Calculate the common denominator of 25\/24 and u.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000010110 + -101?\nAnswer: 101000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 533 - 357. What is the highest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463495175.\nAnswer: 3, 5, 23, 107, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 7. Give o(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/32, -0.4, 1.3, 2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -2 + 7 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8709 is divided by 124.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 = c - 36, 3*u = 4*c - 31. Is c bigger than -2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*i - 6, 0 = -13*i + 2*f + 806 - 780 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -52, -125, -230, -367, -536?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - (1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727516026?\nAnswer: 2, 53, 263, 61967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y + 9*y + 4*y - 2*y)*(-8 + 3 + 4).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 0)*-3) + 5.\nAnswer: 5 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-246 + 246 - 10*t)*(0 + 1 + 0)*(-5 + 3 + 4) in the form y + v*t and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4796, -2, 1, 0 in increasing order.\nAnswer: -10, -2, 0, 1, 4796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*q = 4, 4*j - 15 = q + 2. Let m be (3 - 5\/j) + 2. Solve -s = 2*o + 12, 13 = -2*o - m*s - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106279957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.026, 2\/7, -159?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8701 is divided by 134.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 321 = 4*g - 119, -4*g + c - 210 = 0. Let d = 58 + g. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10365\/(-691)*2\/3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-71 + 162)) + 154\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)\/(q*q\/q**11) assuming q is positive.\nAnswer: q**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 - 4 = 0. Find the third derivative of 2*v**6 - 3*v**6 - 3*v**w + v**2 + 6*v**6 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 times -0.1?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/(-803)*(-44)\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqm when three letters picked without replacement from {w: 1, l: 1, m: 3, q: 7}.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 141*n + 9. Let i be q(8). Let v = i - 15905\/14. What is the common denominator of v and -83\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49811892441 - 0.5.\nAnswer: -49811892441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -143)\/3 - 60\/(22 - 32)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*z - 17*z. Let n(u) = 6*u + 1. Let y(o) = o + 1. Suppose 4*c + 6 = -2. Let j(h) = c*y(h) + n(h). Determine j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - w = -4*g, 2*w = g - 3. Let i be -1*(-5)\/g*3. Suppose 2*m = n + 3, 0 - 3 = -2*n - 5*m. Which is the second biggest value? (a) n (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 37*y**2 - 64*y + 781. Give t(-39).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455753320*y**5 + 378*y - 8184 wrt y?\nAnswer: -9115066400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdiiiidrrd. What is prob of picking 1 d, 1 c, 1 i, and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6330 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -644 - -645. Suppose 3*d = -2*g + 7 + 7, 4*g - d - 14 = 0. Suppose 15 + 5 = -5*y. What is the nearest to t in y, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1124 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/14)*l*l**(-7))**26 assuming l is positive.\nAnswer: l**(-1053\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 88621 (base 9) to base 7\nAnswer: 333334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 1. Let a = -267 + 264. Let c(j) = -3*j**2 - 2. Determine a*c(v) - 5*d(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*sqrt(1700) - sqrt(1700) - sqrt(1700) - sqrt(1700))*3 + (-2*1*sqrt(1700) - sqrt(1700)))**2.\nAnswer: 382503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -115, 12 in ascending order.\nAnswer: -115, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 10565462792*c + 10565462792*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 188. Let r(j) = 2*j**2 + 15. Give r(l(w)).\nAnswer: 8*w**2 - 1504*w + 70703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.075979um to millimeters.\nAnswer: 0.006075979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.7 + 29.3. Let o = 0.68 - 5.68. What is the third smallest value in o, -2\/13, 0, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 11. Determine k(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 972429361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(-24 + 24 + 4*k) - k + 0 + 0.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 56*d**2 - 128*d + 1645. Let j be x(-53). Solve -9*p = 4*b - 13*p + 4, -3*p = 2*b + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238222850 is divided by 8785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 22. Let c be 2\/10 - 88\/(-10). Let w be o(c). Suppose -77 - 43 = -w*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/9)\/(-14 + (912\/(-285) - 496\/(-30))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)*k\/(((k**(-1\/10)\/k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.27415 - 0.3.\nAnswer: 12.97415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**13*k*((k*k\/(k**8*k)*k)\/k)\/k*k**(1\/7)\/((k\/k**14)\/k) assuming k is positive.\nAnswer: k**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*k + 104*k - 213 = -z, 0 = -3*z + 3*k + 639. Calculate the remainder when z is divided by 113.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4\/7, 1\/6, -2\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -392 - -394. Solve r = j*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1734 - 1734 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 8 = -b. Suppose -m = b - 4. Let u(g) = -g**3 - 2*g**2 + 3*g. What is u(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31294252 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -343.7 - -316. Let j = -29 - h. Let i = j + 0.3. Sort 5, -1\/2, i.\nAnswer: i, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/8 and 73\/5740.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-3*sqrt(315))\/sqrt(9) + (sqrt(35) - (sqrt(210)*2)\/sqrt(6))))\/((sqrt(28)\/(sqrt(10)\/sqrt(5)) + sqrt(14))\/((sqrt(72) - sqrt(72)*-2) + sqrt(72))).\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let b(a) = a**3 + 5*a**2 + 3*a - 3. Let t be b(-3). What is the third derivative of i*l**6 - l**t + 2*l**6 + 2*l**2 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1666*d**2 - 1666*d**2 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 62 = 4*q + 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 7\/(-2)*(17 + -359)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11366.3 + 190499050?\nAnswer: 190487683.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*w + 1052 = -2*w, -5 = 5*w. Let y be ((-15)\/6 - -2)*v. Suppose 8*h - y = 6*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 + 2*v - 4. Let t be w(7). Let y(d) = -4*d + d**2 - 7*d + 4*d + t. List the prime factors of y(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -89*p + 7407. Let a be w(83). Solve -a*h - 4*h = -168 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198595\/34824 - 8\/1451. Suppose -94*p + 45 = -89*p. Find the common denominator of q and 3\/p*287\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*z = -4*p - 257*z + 16, 8 = 2*p - 4*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 723 (b) -5 (c) 29 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(63) - (sqrt(63) + (sqrt(63) - (sqrt(63) - sqrt(630)\/(sqrt(30)\/sqrt(3)))))**2) + (1 + sqrt(252)\/sqrt(4) + -5)**2.\nAnswer: -168 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**3 - 3*r**2 + 2*r - 2. Let a(y) = 4*y**3 + 3*y**2 - y + 1. Let o(i) = 6*a(i) + 5*q(i). Let w be 6\/(-4)*(-8)\/3. Give o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.601 + 0.101. Which is the smallest value? (a) -4\/9 (b) 0.9 (c) -2\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34755944 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.3 + -14.7. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3)\/2 + 3. Suppose 7*n - w*n = -0*n. Solve 0*p - 3*p - 12 = n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27209 < 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/30)*b*b**(-19) assuming b is positive.\nAnswer: b**(-539\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 11. Let g(p) = -p + 7. Let i be g(11). Does 2 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004072334227 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18924)\/126)\/(-19) - 8)\/((-9)\/21)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n - 4*f + 1, -4*n - 5*f = -27. Let p be (-8)\/2 - (n + -21). Let b be (-112)\/105 - p\/(-6). Is 5 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**3*q**3*s - 6*d**3*s + 6*d**2*q**3*s + 4*d**2*q**2*s + 2*d**2 + 2*d*q**3 wrt d.\nAnswer: -96*q**3*s - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = 34. What is the remainder when 12 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103611 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112410?\nAnswer: 2, 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.215242 milligrams?\nAnswer: 9215242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88926 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -955, -2817, -5915, -10243, -15795?\n\"Answer: k**3 - 624*k**2 + 3*k - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11731, 23547, 35363, 47179, 58995, 70811?\nAnswer: 82627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.75 + 1.15. Which is the closest to -1? (a) s (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 977*l**2 + 42*l - 642. Let n be f(12). Round n to the nearest 1000.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097.\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.01, -1266, 0.822?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:49 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 2*u**4 - u**3 + 7*u**2 + 1 - u**3 - 10*u**2 as w*u**3 + l*u**4 + m + p*u**2 + a*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 2*a**2 + 0*a**2)*(-a**3 + 0*a**3 + 0*a**3) + (5*a**4 - 5*a**4 - 2*a**5)*(-1 - 2 + 0).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -399, -675, -987, -1323, -1671, -2019?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d**2 + 7*d - 7*d)*(-323 + 299 + 935).\nAnswer: -12754*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3394 - -681. Calculate the remainder when q is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 32 - 8 = 9*d, 5*d + 12 = 2*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28828235 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*l**2 - 10 + 74*l**2 + 137*l**2.\nAnswer: 3*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 352*b**2 - 216*b - 880. Is 16 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (13 - 8) - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/316 (b) 3\/8 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343326 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348 + 348 + 19140*t - 1591*t.\nAnswer: 17549*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37580, 75168, 112756, 150344, 187932?\n\"Answer: 37588*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, 1, -69, -1.\nAnswer: -69, -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 856 divide 416431088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.8184 + -0.1242263.\nAnswer: -31.9426263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3) - (-130)\/39)\/(-3). Which is the closest to k? (a) -9.2 (b) 4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -18 - (-8 - -10). Suppose 0 = -3*h + 7*h + 2*l - 66, -l - 1 = 0. What is the greatest common divisor of d and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 979*b**6\/60 + 7*b**5\/20 + 25*b**4\/4 + 15*b**2 + 81. Find the third derivative of i(p) wrt p.\nAnswer: 11748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1258, -1255, -1252?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)*f)\/f)**(4\/9)\/((((f\/f**(-1\/2))\/f)\/f)\/f*f*f**(-3\/2)) assuming f is positive.\nAnswer: f**(46\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 3. Let b be v(2). Suppose 4*u - 18 = b*u. What is the highest common divisor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 28. Let o(w) = -2*w**2 - 55. Let u(z) = 5*g(z) + 2*o(z). Let p be u(0). Let q(h) = -p + 30 - 2*h**2. Let f(i) = 7*i. Determine f(q(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 9*g - 8. Let x be q(-10). What is the third derivative of -16*h**x + 18*h**2 - 3*h**5 - 4*h**5 wrt h?\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57, -2\/87, -1\/10?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2 - 2*a - 21 - 2*a. Suppose -23*z - 91*z = 570. Let w be y(z). Sort -4, w, -2 in decreasing order.\nAnswer: -2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/2*4\/3. Suppose r + 0*r - p = 0. Is (r\/(-1) + 1)*-11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(15*-1))\/(466\/5825*(-145)\/(-1))?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 2*g**2 + g**5 + (g**3 + g**3 + 0*g**3)*(1 + g**2 - 1) + 8*g**5 - 18*g**4 + 18*g**4 + 4*g**5 - 4*g**5 + g**5 - 2 - 2*g**5 + 2.\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 21*q = 15*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9803 - 9803. Which is smaller: 1\/19 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**3 - 228*o**2 - 2*o - 62. What is s(-19)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a8 + -23?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1857 + 6?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*t + 23, -3*o + 15*t - 14*t + 17 = 0. Suppose 2*x + o*b - 347 = 0, -5*b = -2*x + 350 + 7. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -10, -83, -184, -313, -470?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2*3*(-154)\/105.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 8*m - 3. Let x(h) = 4*h**2 + 25*h - 8. Let s(f) = -7*t(f) + 2*x(f). Let s(p) = 0. Calculate p.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1600575*g - 1600570*g + 213 = 51*j, 3*g + 42 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/7*(-42)\/6. Solve 0 + g = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -9. Let o(z) = -z**3 - z**2 - 2. Let m be o(-2). Solve -4*s + 3*f = -m, 3*f + a = -5*s + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -589*u - 33824. What is l(-57)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)\/(s**(-1\/8)*s))**(-9)\/(((s*s**(-2\/25)*s)\/((s\/s**(-2))\/s*s))\/(s**(1\/9)\/(s\/((((s\/(s\/(s\/(s**(-4\/5)\/s))))\/s)\/s)\/s)))) assuming s is positive.\nAnswer: s**(16859\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 + 7*z**4\/24 + z**3\/3 + 16*z**2. Let c be y(7). Factor 0*k**3 + 1\/3 + 1\/3*k**4 - 2\/3*k**c + 0*k.\nAnswer: (k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*p + 20, -9*p = -3*r - 10*p + 16. Suppose 36960000 = -r*m + 15*m. Round m to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4605 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12806 is divided by 613.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*y + 3102 = 99*y. Calculate the remainder when y is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1) - (-352)\/(-32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11627*t**4 + 12823*t**4 - 25582*t**4 + t - t + 4*t**4 + (-2 - 2 + 5)*(2 - 2 + t**4) in the form o*t**3 + k + v*t**4 + y*t**2 + p*t and give v.\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/((((v\/(v*v**(-5)*v))\/v)\/v)\/v)*v))))\/(v*v**(-10)))\/((v**17*v)\/v**(-7)) assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6097, 5650, 4981, 4090, 2977, 1642, 85?\n\"Answer: -111*b**2 - 114*b + 6322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.084435 millimeters to kilometers.\nAnswer: 0.000001084435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 139 = 5. Suppose -3*v - p + 2*p - 26 = 0, 4*p - n = 4*v. Let r(l) = -l**3 - l**2 + 7*l - 12. What are the prime factors of r(v)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/747 and 125\/6.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-3 - (0 + -4)). Let k(q) = 2*q**2 - 5*q + 4. Suppose 3*b - 44 + 2 = 0. What is the least common multiple of b and k(s)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -110348 and 290866.\nAnswer: 180518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-5 - 3) + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) 24 (c) -5 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 1334*b**3 - 8 - 1332*b**3 - 2*b**2 + 4*b**2 + 6*b**4 to the form o + c*b**2 + k*b**3 + x*b**4 + v*b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - 22.1. Let p = -43 - n. What is p rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 612*s - 3780.\nAnswer: 3*(s - 6)*(s + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**7\/147 - 2*n**6\/105 + n**4\/21 - n**3\/21 - n + 14. Determine x, given that m(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 20. Let b = -735 - -739. Let q be g(b). Suppose -6*a + 3*a + 6 = 0. Solve -3*w = w - l - 1, 6 = q*w - a*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, l: 2, g: 3}. Give prob of picking 1 l and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 1485540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1090349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from {h: 4, m: 1, z: 6, o: 1, r: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -1.53. Let l = h - -0.3. Let q = l - -2. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18354.7 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2 - 0) + 31. Let u(s) = -3*s**2 - 1. Let a be u(-2). Let l = a + v. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/(l\/(l\/((l\/(l\/l**1))\/l)*l))*(l**(-1\/3)*l)**(-14))\/((l**0)**(1\/35)\/(l*((l*l**(-3))\/l)\/l*l**5*l)) assuming l is positive.\nAnswer: l**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1762\/7 - 40512\/161. What is the nearest to -1\/2 in u, -36\/5, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/204918 and 44\/2499?\nAnswer: 204918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 + m**2\/2 - 3*m. Let s be r(-2). Let h = 4 + -8. Which is the second smallest value? (a) h (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = -53 + 118. Let x = 0.2 + 0.5. Which is the second smallest value? (a) g (b) x (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 15*m**2 - 43*m + 56. What is the units digit of x(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 54 + 52. Put s, 22, 4 in increasing order.\nAnswer: s, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/20 + n**4\/3 + 2*n**3\/3 + 3*n**2 + 2*n. Let h be f(-4). What is the units digit of (-16)\/h - (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a + 13*a**2 - 4*a)*(-113 + 24*a + 111 - 4*a) as u + i*a**2 + m*a**3 + t*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f*q**3*x**3 - f*q - 18*q**3*x**2 + 2*q**3 - q*x + 2*x**3 wrt x?\nAnswer: 174*f*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23238347 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.78 + 0.48. Let o = -0.171 + -0.029. What is the biggest value in c, o, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-6) + 1 - (-4030)\/(-93). Let d = f - -50. Solve -5*y = -5*l, -5*y + d = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j**2 + 0*j**2 + 3*j**2)*(-915 + 3619 - 13312*j - 898 - 902 - 904) to the form b + z*j**3 + f*j**2 + u*j and give z.\nAnswer: 26624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, 174, 3, -4 in descending order.\nAnswer: 174, 3, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g**2 + 147*g. Let h(m) = -31*m**2 + 295*m. Give 6*h(n) - 13*t(n).\nAnswer: -4*n**2 - 141*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*j*k*q + 293*g**3*q**2 + 2133*g**2*j*q**2 - 28536*g**2*k + 22*g*j*k*q - 2*j*k*q - 18*k*q**2 - k*q wrt q?\nAnswer: 586*g**3 + 4266*g**2*j - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*h**2)*(-3*h + 6*h - h) - 5*h**3 + 4*h**3 - h**3 + (-h**2 + 2*h**2 + 2*h**2)*(575*h - 199*h + 1274*h).\nAnswer: 4944*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 1233.\nAnswer: 1232.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38180 and 184?\nAnswer: 76360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30993)\/12)\/(3\/(-12)). Let v be (-6 - -6 - 7) + 7303. Let u = j - v. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6273\/12 - 3\/(-8)*(-176)\/(-264) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (48 + 21 - 24 - 50)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46, 43, 38, 31, 22, 11?\n\"Answer: -g**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1775836l in millilitres?\nAnswer: 177.5836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, -3\/5, -0.1, -4\/7, 1673, 2\/3, -11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*t - 8, 2*t + 18 = 3*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.6 + -10.4. Let r = k + 16. Which is bigger: r or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.2 - -45.2. What is the second biggest value in -4, 3, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 10*x - 3. Let k be g(0). Let p(c) = -c**3 - 4*c**2 + 3*c + 4. Let n(o) = 3*o**2 - 2*o - 3. Give k*p(r) - 4*n(r).\nAnswer: 3*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 20173251 and 20173230 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58372 - -58372.0000063578. Round l to seven dps.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79031.2ml in litres?\nAnswer: 79.0312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 192*k - 189*k + 5*r - 5, 5*r = 2*k + 30. Let f = -1.02 + 1.42. Which is the closest to 0.2? (a) f (b) -0.06 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 - 0 - 1. Let t = -26 + 41. Suppose 5*i + t = d - 2*d, -2*d = 2*i + 14. Put s, -4, i in decreasing order.\nAnswer: s, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 64*p + 42. Give d(82).\nAnswer: -1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7686302 + 1.7683. What is a rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -20 (b) 20 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19634, -39255, -58866, -78467, -98058?\n\"Answer: 5*p**2 - 19636*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143*y = -1153*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -212354274 and 258?\nAnswer: 212354532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648, -5241, -17716, -42015, -82080, -141853, -225276, -336291?\nAnswer: -478840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-3\/4)*d**11)**39 assuming d is positive.\nAnswer: d**(2145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003331735 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3149 - 8*d**3 + 3149.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-3)*(111696\/(-31616))\/179\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) 2\/5 (c) 1\/7 (d) -1869 (e) 2\/19 (f) 4 (g) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 13*x - 11. Let b be k(12). Let q be -11 + (b - 0) + 4. Let j(m) = m**3 + 7*m**2 + 4*m - 8. What is j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 90*b + 89*b - 1.\nAnswer: -b + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:22 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**3 - n**2. Let l be g(-1). Suppose 0 + l = -t. Let q be 36\/(-30)*20\/t. Solve -q*y - 7 = -h + 4*h, y = 2*h + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:09 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-660)\/80)\/(2\/(-464))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-336)*2\/7.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -15. Let o(s) be the second derivative of s**5\/20 + s**3\/3 + 33*s**2 - s + 54. Calculate the smallest common multiple of j and o(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/9 - (-5)\/3. Let y = 46 + x. Calculate the remainder when y is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177684.\nAnswer: 2, 3, 13, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-30))**27\/(c*c**21\/c)**(1\/36) assuming c is positive.\nAnswer: c**(-9727\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0279972 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 112. Calculate the remainder when z is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31994, -31984, -31974, -31964?\nAnswer: -31954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -16, -5*z = -31022*b + 31018*b - 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47 (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -584.323571 rounded to the nearest integer?\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 3*c**2 + 12*c - 48. Let z be j(-13). What are the prime factors of z\/(-20) + 6\/10?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11578020 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.484 and -0.1?\nAnswer: -0.0484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1108*d + 19. Let v be u(-1). Let k = -128 - v. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 - 13596*m - 310592 = 0. Calculate m.\nAnswer: -3376, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 40*h + 927. Give j(-20).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 85.86863 millennia?\nAnswer: 858.6863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60088 divided by -15022\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -35.3?\nAnswer: -37.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071\/7 - (2 - -3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*m = 19776, -v + 3*m = -3205 - 16603. Does 49 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 156, 139, 122, 105, 88, 71?\n\"Answer: -17*o + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 32097888978197?\nAnswer: -32097888978185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 6. Suppose 0*x - 3*x + 3 = 0. Let s be x\/(-3) + 5\/15. What is m(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (-32 + (-2 - -23) - -32)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:28 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 19*u**2 + 42*u + 2. Let b be h(-21). Let l(k) = -36 + 5*k**2 + 36 + 0*k**b + 2*k. What is l(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1696.8 in -170.7, 2\/3, 3?\nAnswer: -170.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 139*t**2 + 1658*t + 1192. Determine v(-150).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-2 + 2684\/696). Let u = t - -20\/29. Let k = -0.1 + 0.3. Sort 0.1, u, k.\nAnswer: u, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12740 and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2 - 0. Let p be (-6)\/3 - (1 - -2). Let k be 4\/(-6) + p\/(-12). Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 32. Suppose -2*s = -0*s - o*t - 48, 0 = s + 5*t - 10. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.31 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*t, 30 = 4*t + 3*k - 5. Let f be 2\/t*20\/32. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**3*f**2 + 2959*c**2*f**2 + 2891*f**2 with respect to c.\nAnswer: 15*c**2*f**2 + 5918*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let x = -941 - -1366. Let t = x + -422. Which is the second biggest value? (a) 5\/4 (b) 1\/7 (c) j (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2)*(2 + 0 - 11)*(37*c - 44*c - 65*c) in the form s*c + x and give s.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133544, 1070152, 3612360, 8562968, 16724776, 28900584, 45893192, 68505400?\nAnswer: 97540008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*i + 250*i = -4*p - 12, -2*p = 4*i + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, -c + v + 3*v + 4 = 0. Suppose 6*w - w + 22 = d, -5*d = c*w - 168. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(312\/52*2*(-2)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -597?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-147)\/(-14)*(-24)\/18. Let x(q) = 3*q + 8. Calculate x(w).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.997182km to centimeters.\nAnswer: 899718.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -13*i**4\/4 + 209*i**3\/4 - 415*i**2\/2 + 67*i + 330 = 0.\nAnswer: -1, 2, 66\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73b97 + -6?\nAnswer: -73b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22192 and 39433797.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4308510128.\nAnswer: 2, 13, 20713991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 23 + 19*y + 42 - 30 + 41*y.\nAnswer: 60*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8024 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3462*i - 3468*i = -54 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 23. Suppose 20 - 50 = -3*w. Suppose -5 - w = -5*n. Solve n*s = -0*s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 172*j - 2\/3*j**2.\nAnswer: -2*j*(j - 258)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 1. Let s be h(-5). Let n be 51\/34 - s\/2. Suppose 4*z + q = 17, 5*z - n = 4*q + 25. Sort 1, z, -4 in increasing order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4565093 and 117?\nAnswer: 41085837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*n - 14 = 0, 2*o + 0*n = 5*n - 24. Let r = o + 6. Solve 0 = -5*b - c + 22, -b = r*b + 2*c - 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2956*d**3*z - d**2*z - 56*z wrt d.\nAnswer: 17736*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*z - 9*z - 15*z + 310, -43*z - 34*z + 82*z = 70 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -289 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*a - 136*a + 1972 = 6312 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/338 + 696\/3276.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146598121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {s: 10, y: 4}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61183.62 and -27?\nAnswer: -1651957.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/35 and -53\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttvtttvtttvvttvi. Give prob of picking 2 t and 2 v.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9740 divided by 2848\nAnswer: -2435\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -6*t + 53. Let z(c) = -t + 34*c + c - 11*c. Let h(m) = 5*m - 3. Determine 14*h(y) - 3*z(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffnqqqqqqfqqf. What is prob of sequence nfqf?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-207)\/27)\/23)\/(15\/9))\/((-3)\/198)?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -796 + 799. What is the third biggest value in -0.1, a, 2685?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/9))\/o**(-4))**(-10\/3)*o**2\/o*o**(3\/5)\/o*o*o**(1\/5)\/(o**(6\/5)*o) assuming o is positive.\nAnswer: o**(-2354\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a + 53. Let h be n(7). Suppose -h*m + 148*m - 8 = 0. Solve 4*g - m*o = 6, -g - 11 = -5*o + 2*o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 210 + 0?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101110120202002 + -12?\nAnswer: 101110120201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0629938 - 0.063. Round o to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/28 - 327852\/(-196) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 12095?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 76 - 21. Put o, 4, -1, -4 in ascending order.\nAnswer: o, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12588073.\nAnswer: 12588073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342301 - -115?\nAnswer: 342420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/17, 13, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(1\/4))\/z))\/((z\/(z\/((z*((z*(((z**(4\/9)*z)\/z)\/z)\/z*z)\/z)\/z*z)\/z)))\/z)*z**(-1\/7)\/z**(-3\/5) assuming z is positive.\nAnswer: z**(4111\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*b - 627 - 147*b**3 + 148*b**3 - 87*b as h*b + j*b**3 + d*b**2 + l and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 9*s**2 - 15*s + 10. Let u(j) = -156*j + 943. Let w be u(6). Give q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 2\/162107?\nAnswer: 2\/162107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 (base 14) in base 4?\nAnswer: -1133120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 9*x**2 + 9*x + 24. Let t(z) = -3*z - 6. What is the remainder when c(-10) is divided by t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, w: 2, t: 2, e: 6}. Give prob of sequence qtew.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 21092970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157 and 44117.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000300999209 rounded to 7 dps?\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47696 - 47696. Let b be ((-1)\/(-3))\/((-4)\/12). What is the nearest to o in 0.1, b, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**5 - 1055*u**3 + 2*u**2 - 289*u wrt u?\nAnswer: 240*u**2 - 6330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -12)\/(0 - 1) - -74. Solve -s*r + 64*r + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*j**2 - 20*j**2 + 366*j**2.\nAnswer: 802*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 129717*i + 1. Let d(q) = q. Determine d(t(m)).\nAnswer: 129717*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010023 (base 4) to base 8.\nAnswer: 20413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.470001 to 2 dps.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 1. Let i be w(-2). Suppose -i*a + 15 = -0. Let d(p) = -2636*p**2 + 1307*p**2 - 2*p + 1327*p**2 + p**3. Calculate d(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 6)*(-1 - 0). Solve 3*q - 12 = 3*w, -2*w + 2*q + h*q = 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 83\/2. Which is the nearest to f? (a) -3\/5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 56 - 349 = 0. Let t = h - -122. Let n = t - 12. What is the remainder when 80 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = -6. Suppose 4*h = -b + 4, k*h + 0*b - 12 = -3*b. List the prime factors of h + 2 - (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3835334s?\nAnswer: 383533400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 1. Let y(a) = 8*a + 1. Give -6*w(n) - y(n).\nAnswer: -2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -7 - (1 - -2). Let w = 3 - g. Suppose w = -4*q + 214 + 3146. What is q rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4103 divided by 2.\nAnswer: 4103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 9 = 52*d. Suppose 5 = -7*f + 2*f, 4 = d*b - 4*f. Solve -4*o + 2*o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -228767*c - 146770?\nAnswer: -228767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 - 30360*x**2 - 4125069*x + 30362094 = 0.\nAnswer: -141, 7, 10254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*(-255)\/40)\/(1\/52). Let h = 1505 + y. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 101*i = 88. Which is the second smallest value? (a) i (b) 3.41 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 4*b**2 + 6*b - 9. Let v be i(3). Suppose -11*n + 38 - v = 0. Does n = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-70)*1183\/507?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -695924*c**2 + 696195*c**2 + 2570*c**6 - 9985*c**6 wrt c.\nAnswer: -889800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 462945.5ug?\nAnswer: 462.9455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 31. Let d be (-4)\/(4 - (0 - -2)) - -4. Let k(f) = -2*f**3 - 2*f**2 - f + 2. Let o(v) = 6*v**3 + 7*v**2 + 3*v - 7. What is d*o(a) + u*k(a)?\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.01 - -17. Let o = c - 2.99. Put o, -0.2, -2 in descending order.\nAnswer: -0.2, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 61*r - 1550. Let f(u) = u**2. Calculate g(f(q)).\nAnswer: 61*q**2 - 1550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 4*v**2 - 1233 + v + 1410.\nAnswer: -4*v**2 - 7*v + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(-42))\/(429\/(-132)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*3\/6*254. Let w = -1897\/30 - u. Factor -4\/15*g**2 + 2\/15*g - 2\/15*g**3 + w.\nAnswer: -2*(g - 1)*(g + 1)*(g + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2. Let v(x) = -4*x**2 + 150*x - x**2 - 1 - 150*x + 4*x**3. Give -5*j(p) + v(p).\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4 + 15 + 5. Solve 2*f + 5*s = 16, 0 = 6*f - 7*f - o*s + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**2 - 8*p + 1 + 6*p + 1 + 5*p - 10*p**2. Let m(h) = h**2 + 1. What is m(a) - w(a)?\nAnswer: -a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 217*g + 1108. Give d(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 1, m: 9}. What is prob of sequence psm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s + 688. Give f(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1216193146 and 4.9?\nAnswer: 1216193150.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let a(u) = 3*u + 15. Let f(m) = -a(m) + 15*j(m). Let l(n) = -3*n + 2*n - 3*n. Let g(o) = o. Let h(r) = -2*g(r) - l(r). What is f(h(q))?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**7\/105 + k**6\/25 + k**5\/50 - k**4\/10 + 4*k + 7. Suppose o(p) = 0. Calculate p.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -559*a - 20. Suppose 8*c = 30 - 38. What is the hundreds digit of q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 1. Let h be g(-1). Let k(t) = 10*t**2 - 1 + h*t**2 - t**2. Determine k(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r + 38*r + 9372 = 0. Do 423 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104140740 to the nearest 1000000.\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 875348?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 5*j**2 + 2*j**2)*(-j**2 + 1 - 1) - j + j**4 + j + (5 + 0 + 2)*(-14*j**3 + 14*j**3 - 36*j**4).\nAnswer: -249*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13268 (base 9) in base 6?\nAnswer: 105312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77792?\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:49 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1140816*h - 2281630. What is v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 7:04 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20\/6*12\/(-8) - (-8888)\/11 is divided by 91?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, r: 7}. Give prob of picking 2 o and 1 r.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 + 39*n + 39. Let x(w) = -w**2 - 8*w - 8. Let g(i) = 2*t(i) + 11*x(i). Let m be g(-8). Solve -m = -4*f + 2*o, f - 4*o + o = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, 26, 91, 182?\n\"Answer: 13*d**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.986 + 2.823. Let t = v - 1.66. Let p = 0.027 - t. Round p to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.5. Let h = 8824 - 8829. What is the closest to v in 0, 0.7, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24870500 a multiple of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 11*h**2 - 10*h - 6. Is 40 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31052000 rounded to the nearest one hundred thousand?\nAnswer: -31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/18*(-176868)\/(-5780)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 5:51 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-11)\/66)\/(-12*70\/(-952)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112020202 (base 3) in base 11?\nAnswer: 60a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 207430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbscyml. What is prob of sequence bbl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(160\/12 + 4). Let c = g + 351. What is the greatest common divisor of c and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12844 and -9\/3380.\nAnswer: 64220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*o - 42, -5*c + 11970 = 908*o - 1763*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91353737819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109882041751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2034 = -16*q + 13*q, -5*t = -q - 2038. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*f - 192 = -137*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -20*k - 127. Let m(f) be the third derivative of 15*f**2 + 0*f - 1\/60*f**4 + 1\/100*f**6 + 2\/75*f**5 - 2\/15*f**k + 0. Factor m(w).\nAnswer: 2*(w + 1)**2*(3*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m**2 - m - 111. What is j(9)?\nAnswer: 1095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0947 or -90593?\nAnswer: 0.0947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - i - 14. Let d(h) = 5*h**2 + 2*h + 30. Let o(w) = 6*d(w) + 13*v(w). Let l(x) = 5*x**2 - 4*x. Let r(t) = 3*l(t) - 4*o(t). Give r(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/12 - l**3\/6 - 15*l - 2. Let h(f) = -4*f**2 - 4*f + 56. Let a(v) = -2*h(v) - 4*r(v). Factor a(z).\nAnswer: 4*(z - 4)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3458 - 6785 + k**2 + 3447.\nAnswer: k**2 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 4\/3*g**3 + 0*g - 2*g**2 - 1. What is the second derivative of i(o) wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.67 * 0.169.\nAnswer: -0.95823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 + 15*z**2 + 111*z\/8 - 117\/4.\nAnswer: 3*(z - 1)*(z + 2)*(z + 39)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (771 - 771 + 26*v**2)*(0*v**2 - v**2 + 3*v**2)*(0*v - 6*v + 3*v).\nAnswer: -156*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 10*i - 88. Is 56\/(i - 4) + 949 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, -76 in descending order.\nAnswer: 3, 2, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 22*s**2 + 41*s - 168. Let t be k(-24). Let y be t\/(-2) - 24\/(-6). What is d in -6\/13*d**y + 20\/13*d**3 - 8\/13*d**2 + 0 - 16\/13*d = 0?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -59*w**3 + 3*w**2 + 70*w. Let l(x) = -60*x**3 + 4*x**2 + 69*x. Let y(n) = 3*l(n) - 4*z(n). What is the second derivative of y(u) wrt u?\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*b**4*s**3 - 261352*b**2*s**2 + 6018812*s**3 - 2*s**2 wrt b?\nAnswer: -108*b**3*s**3 - 522704*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 862 and 4310?\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 8. What is the units digit of v\/36 + (-124)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -24, -21, -28, -51?\n\"Answer: -z**3 + 4*z**2 + 2*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let a(t) = -3*t + 4. Let x(i) = -a(i) - 4*v(i). Let c(u) be the second derivative of u**3\/3 - 6*u. Give c(x(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Suppose c*w + 54 = -26. List the prime factors of ((-18)\/10)\/(4\/w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/2020*3\/6. Let w = -996\/3535 + s. Let f be (-19)\/42 + 2\/7. Which is the closest to f? (a) -1\/5 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w - 2*w)*(0 - 3 + 2) as v*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0*j + 98*j**2 - 4*j + 21 - 108*j**2 + j**3. Let l be s(11). Suppose -2*z - 4 = 0, n - 3*z = -z + l. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301*s**5 - 175*s**4 + 110*s + 42.\nAnswer: -6020*s**3 - 2100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)*s\/((s\/(s**(1\/3)\/s))\/s))\/((s*s\/(s*s**6*s*s))\/s*s**(6\/11)) assuming s is positive.\nAnswer: s**(3275\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*t - 19 = -120*t + 30 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 6190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2 + s + 1. Let n(x) = x**3 - 5*x**2 - 3*x - 5. Let l(o) = 2*b(o) + n(o). Let z be l(-7). What is the third biggest value in z, -9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1.3?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/12))**(-35)\/(v*(v*(v\/(v**(-19)*v))\/v)\/v*v*(v\/((v*v**(-2\/15)*v)\/v))\/v*v*v*v) assuming v is positive.\nAnswer: v**(-501\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*h + 5764, 0*s - 4*s = 2*h + 11528. Let z = s - -11443\/4. Find the common denominator of 97\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 20.99944. What is j rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 8, -75, -264, -595, -1104, -1827, -2800?\n\"Answer: -6*o**3 + o**2 + 26*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90070344, -90070345, -90070346?\nAnswer: -90070347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*f + 8*f. Let g = -2 + 6. Let r be (2\/3)\/(42\/(-36)) + 162350\/45458. Solve g*y = -f - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582 + 587. Let x(b) be the third derivative of 0*b + 0 + 4*b**2 - b**3 + 1\/30*b**q + 0*b**4. Differentiate x(v) with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c)**(-36)*c\/((c*c*(c*c**(2\/9)*c*c)\/c)\/c)*c**(-3\/5)*c assuming c is positive.\nAnswer: c**(3158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*u - 9. Let f be 1\/((-3 - -2)*1). Let m be f - 23*(0 + -1). Calculate the highest common factor of m and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -163, -654, -1471, -2614?\n\"Answer: -163*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 289 and -64.8509456377.\nAnswer: 224.1490543623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1179 + 1 + 4)\/2?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 40*s)*(-7 + 1 - 4)*(-2*s - s + s).\nAnswer: 800*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 21*s - 16*s. Let m(u) = u**3 - 6*u**2 - u - 1. Let t be m(6). Let k = t - s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**4*x - 1407*g**2*x - 5*x - 9 wrt g?\nAnswer: 4*g**3*x - 2814*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 4, m: 6, f: 2, b: 1, h: 1}. Give prob of sequence hdb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123735*m**5 + 2*m**3 + 7121*m**2 - 109*m + 2 wrt m?\nAnswer: 7424100*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 7*q - 4*x + 23, 14 = -2*q + 4*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 10*h + 3. Calculate k(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 0*x**5 + 0*x**3 + 1 + 9\/2*x**2 + 1\/2*x**6 + 0*x + 0*x**4. What is the second derivative of m(k) wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 - -806. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01219 to four dps.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -100658 smaller than -108066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583976028*w**2 - 1328592239.\nAnswer: -1167952056*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*p - 41 - 60, -3*p - 3*i = 96. Let f = 92 + p. What are the prime factors of (7 - 6)\/(3\/f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2. Let n(p) = 108692*p**2 + 52. Give n(a(i)).\nAnswer: 3912912*i**4 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 815 = 155. Let c = m - -556. Let x = c + -2032\/9. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 2*a, 0 = -4*x + 5*a - 44. Let r = -7 - x. Is r <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(5\/6). What is the third smallest value in -5, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 107*x**3\/3 + x - 1. Does 18 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -810453*z - 3273388?\nAnswer: -810453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from {d: 6, h: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from {g: 2, y: 1, b: 1, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 199b4981?\nAnswer: -199b497b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72672 = -1355*x + 42503 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181808, 363591, 545374, 727157?\nAnswer: 908940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3940 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*j + 9610 = 4*j, -5*f + 9615 = -4*j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 2. Let u be i(4). Suppose u = 3*g + 4. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277888.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -498128217 less than -498128217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*x + 182 = 0, -4*w + 5*x = 244 - 22. What is the biggest value in w, -4\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/40)\/((-1)\/(-60)). Let w = 38 + y. What is the highest common factor of w and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1040, -1434, -1824, -2210, -2592?\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 537347269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f, -5*b = 2*f - 105. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/49 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + o + 1. Let l be j(-1). Let p be -3 + (-3 - -2) + l. Let k(i) = -3*i - 1. Calculate k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a)**41\/(a*a**(-10))**(1\/7) assuming a is positive.\nAnswer: a**(2054\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4.4*-166\nAnswer: -730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a5 + 28b?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - (-2 - 2). Suppose k*x + 56 = 8*x. Suppose 32 + 8 = m. What is the remainder when m is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296765, -593408, -889927, -1186322, -1482593, -1778740, -2074763?\n\"Answer: 62*n**2 - 296829*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:12 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1780, -2536, -3264, -3964, -4636?\n\"Answer: 14*b**2 - 798*b - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 30. Let k(l) = 7*l. Let f be k(a). What is the highest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1587.038 - -1587. What is the third biggest value in -3, 5, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250 a factor of 4931538750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - -2 - (23 - (18 + 0))) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-2)\/((j**(-2\/7)*j*j)\/(j\/j**(9\/7))) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192832927.\nAnswer: 7, 31, 888631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -15446, -5, -2, -61 in descending order.\nAnswer: -1, -2, -4, -5, -61, -15446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1823547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*b**3*r**3 - b**3*r + 7597*b**3 - 2*b**2*r**2 + 7506*b**2*r + 25*r**3 wrt b.\nAnswer: 150*r**3 - 6*r + 45582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/5 + 3*z**3\/5 + 7*z**2\/5 - 27*z\/5 + 18\/5 = 0.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -13\/43, -25, 0, 0.1?\nAnswer: -13\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) -7 (b) 0.07 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((-12)\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*40\/(-16)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 38*g**2 + 123*g + 146. Does 12 divide i(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 3.8 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*t - 427 - 155, 112 = t + 2*y. What is the remainder when t is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 8:13 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 100 and -0.004023.\nAnswer: 99.995977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/28))**(-14)*(g*(g\/g**(5\/12))\/g)**50 assuming g is positive.\nAnswer: g**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 12:41 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {i: 1, a: 9, u: 2, v: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 93437084, 186874173, 280311264, 373748357, 467185452, 560622549?\n\"Answer: o**2 + 93437086*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 23*s + 3530. Give y(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 289944 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -390055.\nAnswer: 9\/390055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 5)*(-3 + 8 - 2)*(-25*f + 62 - 62) to the form j + k*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152528 - -36318. Let p = 1047034\/9 + x. Let k = p - 127. Which is the smallest value? (a) 4 (b) 1\/6 (c) k (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5128649 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 97. Calculate z(-22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5706260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 11*m**2 - m + 7. Let g be f(-4). Suppose 107*o + g = 110*o. Calculate the remainder when 162 is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 8. What is the lowest common multiple of 10\/15*42\/4 - -11 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365214 (base 9) to base 14.\nAnswer: 5a421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(4)*-1) - sqrt(18))\/sqrt(6) - sqrt(24)\/((sqrt(40) + sqrt(40) + sqrt(160) - sqrt(40))\/sqrt(5) + sqrt(8)).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f**4 - 4*f**3 - 4*f**2 - 4*f + 4. Let n(j) = -j**4 + j**3 + j**2 - 1. Let g(u) = a(u) + 4*n(u). Find the second derivative of g(x) wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbbqobqq. What is prob of sequence qb?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25533*k**5 + 2626*k**4 - 188897207*k**2 wrt k?\nAnswer: 1531980*k**2 + 63024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:45 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/36)\/((14\/(-353143))\/(48\/(-14))).\nAnswer: 2, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 + 400 = 78*b - 678 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 20*z**2 + 2*z - 42. Let d be b(20). Let a(s) = -4*s**2 + s - 1. Let f(i) = -5*i**2 - 2. Calculate d*f(o) + 3*a(o).\nAnswer: -2*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 9. Let n be (-16)\/x + 6\/(-18). Suppose -2*l - n*h - 16 = -85, 78 = 4*l - 2*h. Calculate the highest common divisor of 176 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + (13 - -56) - (0 + (5 - 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 0*j)*(-6937 + 869*j**3 + 6937).\nAnswer: -869*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21465*f + 21470*f - 6*h + 8 = 0, 4*h - 14 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 39*b + 15 = 41*b, 2*l + 3*b - 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 127, 95, 51, -11, -97, -213?\n\"Answer: -x**3 - 25*x + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15867\/(-8) - 3)\/((-36)\/(-184)). Let a = o + 10159. Calculate the common denominator of a and 103\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 4*r + 4. Let z be v(4). Sort -5, z, 96 in decreasing order.\nAnswer: 96, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 12540 = -454*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9 and 10\/6282019?\nAnswer: 56538171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/178262?\nAnswer: -15\/178262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45304, 45307, 45310, 45313, 45316, 45319?\nAnswer: 45322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 3, 10, -9 in decreasing order.\nAnswer: 10, 3, -3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -176989308089 and -64.\nAnswer: -176989308153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 3 + 5)*(-2 + 2 - i) - 5*i + 4*i + 3*i)*(-24 + 5 - 21) to n*i + d and give n.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8453 + 0.5754. Round c to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q**2 + 60698*q + 2093 = 0.\nAnswer: -2093, -1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 18*z + 128. Calculate the least common multiple of 1632 and p(22).\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (84 - (-3 + 54)) + -78 + (-3 - -2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(-6)\/16. Suppose -9*v + 15 = -12. Which is the second smallest value? (a) v (b) o (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101411343 (base 5) to base 14\nAnswer: 45a9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179461 + 22420. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u**3 - 6*u**3 + 2 - 2.\nAnswer: 47*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 5. Suppose 5*b - 17 - 8 = -5*n, 3*n - 9 = -b. Suppose -c - n*c + 9 = 0. Let j(t) = 37*t + 0 - 38*t - 3 + 7. Determine c*j(w) - 2*g(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 85\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 90+0.04\nAnswer: 90.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*j**2 - 18*j**6 - 16*j**6 - 19*j**2 wrt j.\nAnswer: -4080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -236627, -473342, -710133, -947000, -1183943, -1420962, -1658057?\n\"Answer: -38*v**2 - 236601*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -289\/499, -0.034, 0.2?\nAnswer: -289\/499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 678992*q**2*w - 2*w + 515237 wrt q.\nAnswer: 1357984*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Let v = 4 - j. Let q = -0.07 + -0.23. What is the third biggest value in q, 3, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 339 + 227 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395 - -394.99998259. What is l rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbfs when four letters picked without replacement from {f: 4, b: 5, w: 1, y: 1, r: 1, s: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000675771 rounded to six dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4771 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040990979 less than 1.82?\nAnswer: 1.860990979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -4*i - 5. Let j be i + 2\/20*-6. Which is the third biggest value? (a) 1\/8 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162 = 27*v + 174*v + 23*v - 16878 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3380954 - -3360668553\/994. Let f = -2118 + 300755\/142. Let z = f - p. Put 2\/5, z, 4 in descending order.\nAnswer: 4, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -23 + 12 - 55 + 310*n - 5. Is i(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*u**2 + 38*u**2 - 98*u**2 in the form z*u**2 + l*u + b and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.82 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 9. Let g(c) = -2*c - 10. Let l be (-84)\/(-12) + 6 - 7. Give l*g(s) + 7*d(s).\nAnswer: -5*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - (-9)\/6. Suppose 1178 = m*y - 224. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3956, -16, 0 in descending order.\nAnswer: 3956, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806176279?\nAnswer: 5779, 139501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3)*-1)\/((240\/(-165))\/(-16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -35. Let a = 10 + -15. Sort y, -3, -4, a in ascending order.\nAnswer: a, -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjjjjijj. What is prob of picking 1 i and 1 j?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 + 39 = 21*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 8 = 6. Is 37128\/98 + g\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 - 2*s - 7. Let w be o(-6). Suppose -45 = -w*v - 5*g, -64 = -5*v - 4*g - 24. Suppose 3 = -v*f - 1, -2*f = 3*z - 28. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -7369062.331.\nAnswer: -7369058.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 169319423 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.74 - 2.26. What is the biggest value in y, 16, -5, 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, e: 1, b: 2, p: 6}. Give prob of picking 1 e and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:17 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + k - 18, w - k - 5 + 3 = 0. Let r = 8 - w. Suppose -r*n + 61 = n + 2*x, -8 = 4*x. Calculate the remainder when 23 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.239l in millilitres?\nAnswer: 235239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/((-44)\/(-594)). Find the third derivative of -49*l**2 + v*l**2 - 31*l**3 - 16*l**2 wrt l.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 73 = -10*c. Suppose -23 = 2*t - 3*f, -45 = 5*t - 7*f + 2*f. Is (30 - c)*(-46)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*v + 38*v - 1 + 47*v + 46*v + 43*v.\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, -4 in descending order.\nAnswer: 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -7*b**4\/8 - 9*b**3\/4 - 3*b**2\/2 + b - 1. Let h(a) be the first derivative of f(a). Factor h(n).\nAnswer: -3*(n + 1)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 2*u - 2, -5*s - 15 = 0. Find the first derivative of -5 - 63*j**4 + 27*j**u + 33 wrt j.\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3509*b + 1318100 = 3510*b. Round b to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = 117. Let i = -18 - y. Let g = i - 14. Is 7 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.3, 1\/2, -5, -2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 168. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - s)*(-97*s**2 - 9 - 343*s**2 + 9).\nAnswer: 440*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3334376 (base 8) to base 6.\nAnswer: -31135314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 12:54 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/71328 and -109\/80244.\nAnswer: 641952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -1\/5 (c) -32 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - 6 - ((-51)\/204 - 369414\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812786355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1.3547.\nAnswer: -13.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 64 = 4*x, 4*a = -x + 4*x + 46. Let j = x - -14. Let c = 0.4 + -0.3. What is the closest to 0.1 in 4, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 41 = -59. Let l be y\/(-110) + 97\/11. Calculate the highest common factor of l and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 5*j + 15, -7*j + 10 = -2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 102331132?\nAnswer: 102331203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/7, 3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + (-1*sqrt(540) - sqrt(540)) + sqrt(540) - sqrt(540))*2 - sqrt(540))\/(sqrt(12) - -1*sqrt(768)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -325, -698, -1207, -1846, -2609, -3490?\nAnswer: -4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 801*x + 289 - 402*x - 397*x to the form h*x + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -932 + 280. Let m = -357 - x. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1848)\/4)\/7)\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*r + 631, -4*r - 125 = -2*s + 293. What are the prime factors of s?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 73. Let z = m - 50. What is the second smallest value in -5, z, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/133 or 1?\nAnswer: -4\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 11) in base 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 2, e: 5}. Give prob of picking 4 e.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 - 517. Suppose -s*q - 3976 = -16*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1128.\nAnswer: -1\/1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(378)*3)\/(sqrt(6) + sqrt(6) + sqrt(6)*-2*-1 - (sqrt(36)\/(sqrt(24)\/sqrt(4)) + sqrt(6))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(3 + 0 - 1) - 4*z - 3*z + 4*z - 3*z + z + z + (4 - 4 + 2*z)*(6 + 12 + 0).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41025972, 82051959, 123077946, 164103933, 205129920, 246155907?\nAnswer: 287181894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/36)\/((-16)\/18)*(-48)\/(-12). Let i = -6 + 6.3. Which is the closest to i? (a) -2\/13 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -52*b**3 + 2*b**2 - 12*b + 2. Let v(c) = 53*c**3 - c**2 + 9*c - 1. What is -3*m(l) - 4*v(l)?\nAnswer: -56*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28807, -29981, -31155, -32329, -33503?\n\"Answer: -1174*u - 27633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 5. Let r be o(8). Solve 0 = -6*x + r*x + 3*d, 4*x = -5*d - 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from jaiaw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2244*q = -2308*q + 1728 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 0*b**2 + 4*b**2 + (0*b**2 + 2*b**2 + 0*b**2)*(0 + 2 - 3) - 5*b**2 + b - b + (-b + 3 - 3)*(2*b - b + b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 + m + 4. Let o be g(3). Let u be 1 + (o + 3)*2. Let s = 147.2 - 147. Which is the third biggest value? (a) s (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 7*r + 0*r**4 - 4\/5*r**5 + 6 + 0*r**3 + 0*r**2. Differentiate g(q) with respect to q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 2*f - 16. Let x(v) = -v**2 - 2*v - 2. Let i(s) = -x(s) + z(s). Let q(p) = -3*p**2. Determine i(q(a)).\nAnswer: 27*a**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/4 or 1\/8815374?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m + 0 + 1\/30*m**5 - 10*m**2 + 1\/12*m**4 - 2\/3*m**3. Suppose k(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38fc08 + -1e?\nAnswer: -38fc26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -662.4 + 662.4000021624. What is y rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y + 43*y - 4795 = 0. List the prime factors of y.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:34 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 - 210*z**2 + 2275*z - 2070 = 0.\nAnswer: 1, 18, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 393835282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88723 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: What is 16660 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.251370977 rounded to three dps?\nAnswer: -1.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d - d)*(5*d - d - 2*d) + (2*d**3 - 3*d**3 + 0*d**3)*(7 + 0 - 5)*(7 - 1 - 3) + (-45*d + 17*d + 14*d)*(3*d**2 + 4*d**2 - 6*d**2).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43107 (base 8) in base 7?\nAnswer: -103311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -5 - 9*203\/924. What is the third smallest value in 6, z, 3\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*m - 26 = 0, 2*u + m - 5*m = 20. Solve -5*l - u*k + 8 = -3*k, 0 = 5*l - k - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6084\/(-91))\/(30\/28)*10\/(-4). Calculate the greatest common divisor of s and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2 + 932*z\/3 - 208\/3.\nAnswer: 2*(z + 52)*(9*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 277?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -62*i**2 - i + 1. Let b be (0 - 1 - (-118 - -116))\/1. Determine o(b).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7163*w + 110*w = -240009 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -942599, -1885200, -2827799, -3770396, -4712991, -5655584, -6598175?\nAnswer: -7540764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o**2 - o + 6. Let w be u(2). Let d = w - -7. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3069*k = 2989*k + 61714160. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 21*s**2 - 21*s - 17. Let n be t(-20). Let o be n\/(-1 + 3 + -1). Put -2, o, 26 in ascending order.\nAnswer: -2, o, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3 - 3)*(22 - 22 - 21*y**2).\nAnswer: 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 13 + -12 + 8 + -6 + -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)\/(y**(1\/2)\/y*y)*(y**(1\/7))**(-2\/55) assuming y is positive.\nAnswer: y**(-5009\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/493 - -1016\/2465. Let m(u) be the first derivative of 13 + p*u + 3\/5*u**3 - 7\/10*u**2 + 1\/25*u**5 - 1\/4*u**4. Factor m(t).\nAnswer: (t - 2)*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.152 + -0.15379. Round m to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 261425, 261423, 261421?\n\"Answer: -2*k + 261427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 143.63.\nAnswer: -143.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041447 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**3 - 14*n**2 + 445*n - 1826. What is m(4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12268.2 to the nearest one hundred.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 + -170. Let u(r) = -4*r - 33. What is the remainder when w is divided by u(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3216 - -3216.09. Sort -19, h, -0.1, 0.\nAnswer: -19, -0.1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:32 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o + 99368 = 204226 + 100403. What is the highest common factor of 118 and o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 52 = 13*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**3*n*y**3 - 2*h**3*n*y + 5*h**3 - 766*h**2*n*y**3 + h**2*n*y**2 + 23*h*n + 2*y**2 wrt y.\nAnswer: -30*h**3*n - 4596*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2382*p**2 - 4765*p**2 + 2379*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k + 10 = 0. Suppose 4*q - 28 = 3*o + 1, -4*o = q + 7. Solve 4*z = k*z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -31. Suppose -o = -4*c + 1079, 2*c = w*o - 3*o + 535. What are the prime factors of c?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3 + -16 - (-7360)\/575)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235 - 622?\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - ((2 - 1) + -4). Suppose 2*p + p - 48 = g. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19644836071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006974868 to six dps.\nAnswer: 0.000697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11000011110?\nAnswer: 11000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 + 142.99. Let d = u - 1.08. Round d to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r*x**4 + 9145*r*x**3 + 136*r*x**2 + 6*r - x**4 + 6*x**3 + 151 wrt x.\nAnswer: 24*r*x + 54870*r - 24*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 + (7 - 3)). Let z be -1 - (-1 + 3 - 3)*k. Solve -2*g + z = 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (142\/3)\/(2\/3). Suppose 660 = 5*x - 2*a, -45*a + 44*a = -5*x + 665. Let s = x - r. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 651379 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zziieyyinzeesy. What is prob of picking 2 i, 1 s, and 1 z?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i*i\/i**(-2)*i)\/i)**(2\/53)\/((i*i*i*i\/(i\/(i\/i**(2\/13))))\/i*i*i\/i**(2\/17)))**24 assuming i is positive.\nAnswer: i**(-1265592\/11713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.556 to 1 decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -362c - 5?\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 232*11111\nAnswer: 2577752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17485, 34968, 52451, 69934?\nAnswer: 87417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 6*l - 3186 - 2*l**4 - 89*l**2 + 3189 + 98*l**2 in the form i*l + g*l**3 + n + f*l**4 + w*l**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*h = -13, 27*h = 32*h - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(3 + (-221)\/13 - -12).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 (base 11) in base 14?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78509027*q + 554437210 wrt q.\nAnswer: 78509027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 26. Let p be 4\/14 - (-40)\/(-140). Solve f = 4*n - p*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585572318 and 4?\nAnswer: 1171144636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*v + h, 4*v - 2*v - 24 = 4*h. Suppose -d + 181 = 2*i, 4*i - v*d = -d + 359. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -544, -1657, 0 in descending order.\nAnswer: 0, -544, -1657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 2, d: 3, f: 1, h: 4}. What is prob of picking 1 f and 2 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 17*k**2 - 34*k - 13. Let l be 4 + (-105)\/28 + (-122)\/8. Is 2 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 11 - -6 - (-2 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211882 or -211986?\nAnswer: -211986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 163433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 13480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7540*a**3 - 6*a**2 - 3*a - 2. Let h = 80 - 82. Let l be t(h). What is l rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 45 - (1 - -2) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*z - 81*z + 45. Let y(s) = s**2 - 17*s + 24. Calculate y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -4*q - 9, 4*w - 3*q = 9. Suppose w = 5*m - 49 - 36. Find the second derivative of m*g**5 - 2*g**5 + 15*g + 9*g - 9*g wrt g.\nAnswer: 300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1008)*-4.\nAnswer: -192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 8 = -4*m, -m - 16 = -3*m - 5*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1.3, -0.2, 1, -53, -5 in decreasing order.\nAnswer: 1.3, 1, -0.2, -0.5, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/((-84)\/135) + 27 + -52 + 24 and 17\/1668.\nAnswer: 11676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/171 in 0.2, 1, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11048 = -10*q. Suppose q - 5281 = -15*f. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86512040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*v - 4 = -0*v, -g - 5*v - 18 = 0. Let h(p) = -p**g + 6*p**2 + 11 - 12*p - 6*p**2 - 6*p. Is h(-14) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 - 96*l**2 - 9585*l\/4 - 23625\/2.\nAnswer: 3*(l - 150)*(l + 7)*(l + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 2313.\nAnswer: 78642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54542 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3425 divided by -137.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1364*i. Let x(l) = -l**2. What is y(x(p))?\nAnswer: -1364*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2625 and 17125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 15*j + 5*j**2 - 5\/3*j**3 - 22. Suppose c(y) = 0. What is y?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 10*a**2 + 5*a - 29. Calculate w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.68 - -2.0665. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 36*l**2 - 178*l - 6 + 177*l + 6.\nAnswer: -36*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -364, -732, -1270, -1990, -2904?\nAnswer: -4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1003, 2006, 3011, 4018?\nAnswer: 5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3180219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 4*f - 1. Let n(x) = x**3 - 9*x**2 + 15*x + 9. Let a be n(7). Let l(h) = 380*h + a*h**2 - 4 - 359*h + 0. What is -2*l(u) + 11*s(u)?\nAnswer: u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -148\/9*c**2 + 16*c**3 - 142\/9*c + 4\/9*c**4 - 2\/9*c**5 + 16 = 0.\nAnswer: -8, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 27. Let m be s(-3). Suppose 0 = m*v + 4*x - 40, -10 = -2*v + 2*x + 40. Solve a + 4*a + 4*c - v = 0, 2*a + 4*c = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33643 + 34404.9. What is j rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.7403274 from -0.9.\nAnswer: -13.6403274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 minus 176075?\nAnswer: -176077.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30049, -30035, -30021, -30007, -29993, -29979?\n\"Answer: 14*v - 30063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 7752 = -20*g. Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u + 93. Let k(o) = 828*o**2 - 28. Let i(m) = 89*m**2 - 3. Let p(y) = 28*i(y) - 3*k(y). Determine p(a(h)).\nAnswer: 968*h**2 + 16368*h + 69192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48.4 and -1610449438.\nAnswer: -1610449389.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/980 and 3\/18620.\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 4 (c) 2\/35 (d) 0 (e) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 7, -2, 4, 5, 1, -1 in descending order.\nAnswer: 7, 5, 4, 1, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651.\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/8 + 17*h**3\/6 + h**2. Let d(w) = w - 6. Suppose 6*c + 16 = -20. Let q(j) = c*a(j) - 17*d(j). Calculate q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3975, 15933, 35863, 63765, 99639, 143485, 195303?\n\"Answer: 3986*g**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 43400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -47, -2\/15, 0.038, -5?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 * 25154\nAnswer: 155954.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + -1.5. Let g = 3 - l. What is the third smallest value in 1\/5, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 248856, 497721, 746616, 995553, 1244544, 1493601, 1742736?\n\"Answer: 2*b**3 + 3*b**2 + 248842*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let c be (2 - 0\/2) + 6. Let u be 3\/((-84)\/c) - 0. What is the nearest to p in 4, 4\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 2. Let q be d(6). Find the third derivative of 5*g**2 + 0*g**6 + 3*g**6 - q*g**2 wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21518 and 34874.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18401014237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83959 is divided by 1275.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 11*v**2 + v - 1. Let i(b) be the first derivative of b**2\/2 + 1780. Calculate i(m(n)).\nAnswer: 22*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d\/d**(-1\/4))\/d*d)\/d)\/d)**(19\/5)\/(d**5\/d**9) assuming d is positive.\nAnswer: d**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 0*c + 2*c - 4*c. Let i(y) be the third derivative of -y**4\/2 - 9*y**2. What is i(r(g))?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1065136 - -23?\nAnswer: 1065162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8646.55 + -8646. Let w = -24 + 23.45. Let b = s + w. Is b at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(3 + (-28)\/12) + 82. Suppose 3*d = -v + 63, 4*d = 16*v - 11*v + f. Suppose 2*r + 0*r = 28. Calculate the highest common divisor of d and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21326 - -21330. Sort 5, 1\/4, 38.7, q in decreasing order.\nAnswer: 38.7, 5, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/16 - -1\/48. Let m = 6\/37 + -73\/222. Put m, 1, x, -1 in descending order.\nAnswer: 1, x, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9064.5+-52088.57\nAnswer: -43024.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9904, -19861, -29816, -39769, -49720, -59669, -69616?\nAnswer: -79561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/19*d**4 + 18\/19*d**3 + 4\/19*d - 14\/19*d**2 + 2\/19*d**5 + 0.\nAnswer: 2*d*(d - 2)*(d - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1*4\/(-2). Let 5*y**3 - 8*y**3 + y**f + 2*y = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32487371\/5 or -6497474?\nAnswer: -32487371\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35055 (base 8) to base 4.\nAnswer: -3220231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 951*o**3 + 0 + 2.\nAnswer: -951*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3.35, -3, 19, 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/294*7*8\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1999759*q**3 + 7746*q**2 + 7746*q + 15492. Let r(w) = -1291*w**3 + 5*w**2 + 5*w + 10. Calculate 5*g(o) - 7746*r(o).\nAnswer: 1291*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -1351*p**5\/5 - 1318*p + 105. Find the first derivative of u(b) wrt b.\nAnswer: -5404*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141121240 (base 6) to base 9\nAnswer: 5333576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 452 = 0. Calculate the remainder when p is divided by 20\/(-16)*812\/(-35).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 348. Let b(x) = x + 117. What is -10*b(z) + 3*s(z)?\nAnswer: 2*z - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2523325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16997472 to the nearest integer?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1431783 = 36*n - 4*n + 43271. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58 + 3?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -26*y**2 - 6*y. Let h(j) = -37*j**2 + 8*j - 99. Let v(q) = 13*q**2 - 3*q + 36. Let o(f) = -4*h(f) - 11*v(f). Determine 16*o(g) + 3*u(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 848.500008115 - 848.5. What is v rounded to seven dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*6 - (sqrt(84) - -2*(sqrt(84) - -1*sqrt(84))))\/(sqrt(432)*-1 + (sqrt(144) + -2*sqrt(144) + sqrt(144) + sqrt(144))\/sqrt(12)).\nAnswer: 17*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/5, 2\/23, -5\/468?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -27. Let s(i) be the first derivative of 0*i**4 + 0*i**2 + 5\/3*i**3 + 0*i**5 + w*i + 1\/2*i**6 - 1. What is the third derivative of s(d) wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 4*i + 20 + (2 - 3 + 0)*(14*i - 29 + 29))*(-2*i + i + 2*i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-2))\/u)\/u**4*u**(-1)\/u*u**(-1\/7)\/u*u)\/((u*u**(-1\/4))\/(u*u\/(u*u**(-5\/4)*u)))**23 assuming u is positive.\nAnswer: u**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/99)\/(56\/144)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10951 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 20. Suppose -2*b = 6*x - x + 12, -2*x + f = 3*b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**2 - 88*n - 30. Give m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4070782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000195266166 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -212101010121 (base 4) in base 11?\nAnswer: -5731801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1200499 + -476599043\/397. Let o = j + 2287240\/3573. Let w = o + -642. Calculate the common denominator of 38 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = 2*v. What is the second biggest value in -3.4, 5, v?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/25? (a) -1\/5 (b) -1249 (c) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 - -161.89. Let o = -1.61 - g. What is the smallest value in -1, 67, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -802 + 1381. Suppose 6*z - k = 39. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 5*y. Let o(d) = 2*d**2 - 11*d + 113. Give o(m) + 2*r(m).\nAnswer: 6*m**2 - m + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v + 3*v)*(-3*v**3 + 2*v**3 + 0*v**3) + (-5*v**4 + 0*v**4 + 4*v**4)*(-2 + 7 - 4) - 2*v**3 + 4*v**4 + 2*v**3 + (0 + 0 + 2*v**3)*(-v - 3*v + 5*v).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*u + 1)*((0 + 5 - 4)*(3*u + u - 3*u) + 3*u - 2 + 2 - 5*u + 2*u + 2*u + (3 + u - 3)*(-1 - 1 + 1) + 2*u - 1 + 1 + 6*u - u - 4*u + 3*u - u + 0*u).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 10 = 3*u, -3*o + 36 = 6*u - u. What are the prime factors of (-8)\/12*(-477)\/u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39611603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*n - 12077, 0 = 6*j - 4*j - 3*n - 24181. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-35) - 4\/10. Let x = 0.7 - 13.7. Let q = 14 + x. Sort q, a, 0.5.\nAnswer: a, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 + -1 + (116 - 265)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -2 - (79 + 11). Let p = s + 134. Calculate the highest common factor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-86)\/(-8))\/(1\/4). Suppose -12 = 6*g - 5*g. Let u = s - g. Calculate the greatest common divisor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 26*t**2 - 530*t + 2112. Let j be o(4). What is the greatest common factor of 960 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2633 and 1.0148.\nAnswer: 2634.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 20, 8 + 4 = 4*l + 4*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 2 + 2 + 5*m)*(-2*m - 3*m + 3*m) - 2*m**2 - 4*m**2 + 5*m**2 as i + w*m + j*m**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k**2 - 4*k - 37. Let p be z(-5). Suppose 6*n = -p*n + 42. Solve -q - 2*q = -n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*q - 24. Let b(y) = -2*y - y + y**2 - 7 + 6*y. Let s be b(q). Solve -5*a + 1 + 1 = s*o, -o = -a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 22296\nAnswer: 490512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15551309987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 15*b - 40 = 0. Let f = b + 8. Solve -4*p + 23 = 3*o, -3*o + 28 = 5*p - f*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.045 + -0.155. What is the second smallest value in 2\/7, h, 2\/13, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = 53*c - 21*c. Calculate the highest common factor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o + 5. Let d(i) = 204*i - 84. Calculate -5*d(b) - 84*m(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/73 and -7\/9?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 418 = -3*g + 260, -g = 2*k - 226. Let u = 1 - -4. Find the second derivative of -g*i**2 + 11*i**u + 226*i**2 + 8*i wrt i.\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 52 - 12. Suppose 2*w - 3*u + 5*u + 16 = 0, 5*w + a = -2*u. Let o = w + 20. Calculate the smallest common multiple of o and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -59, -5, 290 in decreasing order.\nAnswer: 290, 5, 3, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7563601 (base 8) to base 7.\nAnswer: -23133540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4, 4*m - 3*r + 7 = -6*r. Let f(l) = -10*l**3 - l**2. What is the remainder when f(-1) is divided by 0 - 15\/3*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14a - -648d?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36464 (base 7) in base 13?\nAnswer: -4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s + 18 - 11*s - 16)*(-2*s + s**2 + 2*s + s**2 - 3*s**2 + 3*s**2 + (1 - 1 - s)*(1 - 2*s - 1)).\nAnswer: -88*s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 134, 183, 220, 245, 258?\n\"Answer: -6*j**2 + 79*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 1\/14 in decreasing order.\nAnswer: 1\/14, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 2 + 5 + 2*z. Let q(k) = -25*k + 40. Let y(a) = -40*j(a) + 3*q(a). Let n(g) = 3*g + 5*g + g - 11*g. Give y(n(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1176 and ((-833)\/476)\/(1\/(-112))?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*-1347736\nAnswer: 3099792.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -r + 23*k + 5189, 0 = -5*k - 5. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, s: 2, p: 2, c: 1, e: 2}. What is prob of sequence ud?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 652192129 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 12429, 12722, 13461, 14868, 17165, 20574?\n\"Answer: 37*d**3 + d**2 + 31*d + 12360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1 + 7 = 2*h, 4 = -2*h + 2*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595528511.\nAnswer: 3, 7369, 72173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667479 + 333741 + 333738 + 29*j**3.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w - 8*w + 8*w)*(-3*w + 2*w - 557 + 630 + 3*w).\nAnswer: 36*w**2 + 1314*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-595.4155.\nAnswer: 4763.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/7)\/((-6)\/2 - 0). Put t, 1, 2\/9, -0.3 in ascending order.\nAnswer: -0.3, t, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -565, -2405, -5651, -10453, -16961, -25325, -35695, -48221?\n\"Answer: -25*u**3 - 553*u**2 - 6*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*z = -283*z - 2*o + 1, 0 = z + 5*o + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k - 366 = -6*k, -374 = -2*u + k. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 1. Let d(y) = -4*y**2 + 19*y + 42. Let w(f) = 3*c(f) - d(f). Calculate w(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.5. Let b = v - 0.3. Let a = 356 + -355.9. What is the third smallest value in 0.3, b, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80.58 - -54.58. Which is smaller: m or -2\/33?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/470 and 13\/497401.\nAnswer: 4974010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = -4*h, 2*h + 0*h - 7 = 3*m. Let g be 0*(2\/(-8))\/((-8)\/(-16)). Sort -2, -1, m, g.\nAnswer: m, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*t - 192 = 167*t + 164*t + 9*v, 3*t + 164 = 5*v for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24 times -123403\nAnswer: 2961672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(90)*2)\/sqrt(5)*6 - (sqrt(10) - (sqrt(200)\/sqrt(4))\/sqrt(5))\/(sqrt(25)\/(-1*sqrt(5)) - sqrt(5) - sqrt(5))))**2.\nAnswer: 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - 9*o + 2. Let v(h) = -3*h**2 - 9*h + 2. Let a(q) = 3*v(q) - 4*z(q). Determine a(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/((-20)\/3))\/(330\/(-1925)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s + 30 = 0. Let r = s + -10. Suppose -96 = -r*u - 1. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/20 - b**4\/2 - 9*b**2\/2 - 53*b - 1. What is the least common multiple of n(-7) and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - o**3 + 2*o**3 - 2*o**4 - 5 + 5 - 7 to the form l*o**3 + t + j*o**4 + w*o + y*o**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64 + -146?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*y**2 - 139*y**2 - 133*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/440 and -49\/200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61279 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: b\"What is the sth term of 274028, 274029, 274030?\n\"Answer: s + 274027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t - 7. Let r be b(-7). Find the common denominator of r\/(-22) - (0 + 2) and -75\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 22*y - 287. Determine l(-31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 4 (b) -84 (c) -1\/11 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-15)*1)\/(207\/69).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 450 + -2125?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w + 2*w - 4*w + (-3 + 4 - 2)*(-4 - 4*w + 4).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -2\/3, -28, 5, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**6 + 109*n**4 - 1192*n**2?\nAnswer: 600*n**3 + 2616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3720 and 10202255?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 21. Let n be y(-11). Let c be -6*n\/45*-3. Let g(m) = -5*m + 13. Let o(k) = k - 3. Determine c*g(a) + 18*o(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/810*(-6)\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 487, 0.36, -1\/4, 25?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 3*y**2 - 7*y - 6. Let p be u(-4). Suppose h = p*h - 3*c - 23, -3*h = 5*c - 7. Solve 0 = h*j - 5*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-1 + -2) + -3. Suppose s = g*d + 30, 3*s + d - 52 = -s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 8*a**2 - 24*a + 7. Give z(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8103 - -8106. Which is the closest to -2? (a) 0.252 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 48 = 3*r. Let i = r + -10. Suppose i = 6*h - 16 - 2. Solve 6*d + 3 = h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 89*r - 222. Calculate d(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (7 + -1 + (10 - 21) - (-18 - -3))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -599071.459 to the nearest ten thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/12 of a hour?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 67, -65 in ascending order.\nAnswer: -65, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 22. Let u(m) = 2*m + 21. Let n(c) = 5*l(c) + 6*u(c). Let i be n(-6). Solve 5*r = i*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2219 + 0.0271. What is r rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -3797?\nAnswer: -3795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*t + 1597*t - 2475 - 6*t**3 - 796*t.\nAnswer: -6*t**3 - 2475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/91 + 83\/364. Let z = 227.2 + -226.9. Let j(y) = -y**3 - 3*y**2 - 1. Let k be j(-3). Which is the second smallest value? (a) z (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 143 (c) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41139900 and 27426600?\nAnswer: 82279800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 2, e: 5, c: 1, v: 5, x: 1}. What is prob of picking 3 e?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-30)*4*-5. Let i = 2 + -3. Let y be (i\/k)\/(3\/(-30)). Let o(d) = -d**3 + 4*d**2 + 3*d + 7. Give o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/10)\/((-8)\/10). Suppose -5*u - 27 + 142 = 0. Let d = u - s. Calculate the greatest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81.1 - -77. Let m = f + 4.6. What is the fourth biggest value in m, 5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from {l: 5, e: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhghhhhghhghghlghgh. Give prob of picking 1 h and 1 g.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/8)\/((-3)\/(-4)). Suppose 4*n + 20 = -h, x*h + 17 = -4*n - 3. Let j(w) = -3*w + 0*w + 0*w. Let l(i) = -2*i. What is n*j(r) + 7*l(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 1577*k**2 - 10*k + 77*k + 782*k**2 + 644*k**2 as w*k**2 + j*k + a + b*k**3 and give w.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, i: 2, t: 1, h: 3, e: 1, w: 1}. What is prob of sequence ehh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from nxnxntnx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 167\/((75\/(-12))\/(-5) - (-186)\/(-168)). Which is smaller: n or 1167?\nAnswer: 1167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 2*z**2 + 14*z + 32. Let i be s(-5). Put -2, 1, i in descending order.\nAnswer: i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 5, e: 1}. What is prob of sequence zzez?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 292*n. Let h(u) = -8*u**2. Determine h(y(c)).\nAnswer: -682112*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 + -7?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**2 - 2*r**2 - r**2. Let z(b) = b**3 + 8*b**2 + 7*b + 7. Let x be z(-7). Let g(a) = 2156 - 2156 + x*a**2. What is g(p(f))?\nAnswer: 175*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 3\/875 (b) -13 (c) -2\/13 (d) 0.2 (e) 1 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38070.919 - 38054. Let g = 824 - 824.019. Let i = g + u. Round i to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/3 + 16\/7. What is the second smallest value in -4, c, -3\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l - 73. Calculate the remainder when f(12) is divided by -3 + 1 - (-14 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*b - 522*b = 94 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2 = -4*b - 5*s, -8 = 4*s. Let y(n) = n - 2. Let c be y(3). Sort b, -1, c.\nAnswer: -1, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 9. Let k = -9 + m. Find the third derivative of 3*g**2 + 319*g**5 - 311*g**5 + 4*g**k wrt g.\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.115, 4, -3, -46?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81 - 36 + 1289*r**3 - 1691*r**3 + 81 + 213 wrt r.\nAnswer: -1206*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.538260358 to five decimal places.\nAnswer: 0.53826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 694 - -1651. Suppose -6*u + 2851 + i = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 142 = 140. Let v = f + 99. Let r = 559 - v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3668 = 2*j - 3*n - 15356, 0 = -3*j + 5*n + 17534. Is j\/6*2\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 21\/(-30)*8. Let n = 8 - g. Let u = 1.9 - -0.1. What is the closest to n in u, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/13)*q)\/q**(6\/5))**(10\/11) assuming q is positive.\nAnswer: q**(-6\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*c**2 + 13780*c - 140450.\nAnswer: -2*(13*c - 265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 144 = -794. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26071 - -60062. Calculate the highest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -i + y, -87 - 83 = -4*i + 2*y - 158 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*j - 6*m + 5*m, -5*j + 4*m = -16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8. Suppose m = 3*d + d - 56. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.395293032 and -34971?\nAnswer: 34971.395293032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1890*t**2 - 2814*t**2 + 2582*t**2 - 1 to the form h*t + o*t**2 + c and give o.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6941 by -4.\nAnswer: 6941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Let k be 2 - -2*346\/y. Let v = k + -85. What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(26\/(-52)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8896908 divided by 8.\nAnswer: -2224227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -2\/5, 342277?\nAnswer: 342277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:06 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00866291183 rounded to 4 dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3615.7951 - -3615. Let i = 0.0759 - c. What is i rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1464 - -1909. Do 447 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/117 - 262\/819. Which is the nearest to d? (a) 3 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccmcccm. What is prob of picking 1 m and 2 c?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30\/7*m**3 + 414\/7*m + 216\/7 + 204\/7*m**2.\nAnswer: 6*(m + 3)**2*(5*m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32030200111 + -233?\nAnswer: 32030133212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58042463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12171 - -13509. What is the remainder when b is divided by 104?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 53*d + 123260. Let o(z) = 2*z. Give u(o(k)).\nAnswer: -4*k**2 - 106*k + 123260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13126, 13250, 13458, 13750, 14126?\n\"Answer: 42*x**2 - 2*x + 13086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgjggssjsgguggg. What is prob of picking 1 j and 1 u?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -127, -1, -2, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i, 9*i = 5*z + 14*i + 1590. Let t = z + 318. Let f(d) = d + 1. Let q(l) = l**2 - 5*l - 4. Let n = -24 + 19. Give n*f(g) + t*q(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 537*f + 436. Give b(-178).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 51 - 221 + 58 + 60 + 17*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11830 and 3745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/6, -4\/187, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/2)\/((-1)\/9). Suppose 2*t + 16 = 4*y, -2*y = -2*t + 3 - p. What is the least common multiple of t and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(5*sqrt(8)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5969 + 1.8769. What is the closest to d in -5, -3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62514*a**6 + 2*a**5 + 3*a**4 + 4524*a**2 + 48*a - 5?\nAnswer: 7501680*a**3 + 120*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5433*u + 118 = -5431*u + 2*s, 5*s - 270 - 34 = -2*u - 0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 463 - -0.2\nAnswer: 463.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*l + 7208 = -8020 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158396629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -52.7. Let j = 6.30000077 + w. Round j to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 1. Let k be v(-2). Let z = 5 + k. Suppose -5*j - 3*i + 6000003 = 0, -j + z*i - 47601 + 1247597 = 0. What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*i - 18 = 0, -3*s - 77*i + 78*i = -14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 10*y. Let m be x(-8). Let c = m + -12. Suppose c*z + 5*i - 254 = 0, -3*i + 1 = z - 59. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411423857?\nAnswer: 13, 2557, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14779 or 14780?\nAnswer: 14779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, -0.08, 0, 2 in descending order.\nAnswer: 2, 0, -0.08, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and -82.\nAnswer: 14432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29.85177 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 - 10\/160*(-150)\/105?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4026360 = -1332*b + 1390*b. What are the prime factors of b?\nAnswer: 2, 3, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 3 (c) 241\/5 (d) -4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - 2*u**2)*(11 - 10 + 18*u + 11*u).\nAnswer: 29*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(153))**2 + -2).\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1289 in -2, -6, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -b. Suppose 0*m + 2*m - 4*f - b = 0, 6 = 5*m - 4*f. Put -3, m, -4, 5 in decreasing order.\nAnswer: 5, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 24\/11 (c) -5.9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*1)\/(sqrt(8) - ((-2*sqrt(88))\/sqrt(11) - sqrt(8))) - (((-1 + sqrt(3))*-3*-2)**2*6 + -2).\nAnswer: -862 + 865*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15216, -3 in ascending order.\nAnswer: -15216, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/6*(-1)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2142 + 2?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 14*w**2 - 17*w - 20. Is t(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 191, 190, 189?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - o + 4*o - 7 + 17 as p + c*o and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.093 (b) 3\/7 (c) -2 (d) 1\/3 (e) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495462?\nAnswer: 2, 3, 11, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6753.482149 to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 + -0.416?\nAnswer: 459.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 2. Give h(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 98651.\nAnswer: 15\/14093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 80 + 80 + 9*y**3 + 7*y**4 - 3*y**3 to the form s + a*y**3 + f*y**2 + q*y**4 + t*y and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:03 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 + 3*l**2 - 3. Suppose 3*v + 9 = -3*y, 0 = -2*v - 3*y + 16 - 24. Let g be t(v). Solve 0 = g*d + z - 13, 2*d + 2*d + 5*z = 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 533594613 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*h + 4 - 12*h to q + x*h and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-9)\/24*2\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4*k*w + 59*c**2*w + 2*c*k*w - 16*k*w + 1 wrt c?\nAnswer: 24*c**2*k*w + 118*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0)*14\/6 - 59287\/8218?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 111. Let d(b) be the second derivative of -1\/105*b**n + 1\/30*b**6 + 0 + 1\/60*b**4 - 1\/25*b**5 + 0*b**3 + 0*b**2 + 5*b. Factor d(m).\nAnswer: -m**2*(m - 1)**2*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 14. Let b be z + (5 - 2 - 1). Solve 19 = -v - 5*d - b, 2*v + 23 = -5*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 18. Let s be a + 0 - (-2 + -15100). Round s to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -316, 1, -0.2, -1 in decreasing order.\nAnswer: 1, -1\/7, -0.2, -1, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let o(g) = -2*g**2 + 17*g**3 - g + 2 + g**2 - 1 - 16*g**3. What is the lowest common multiple of 8 and o(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2089.253 less than 45.5?\nAnswer: 2134.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + s - 27. Determine o(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33704 - 202223\/6. Which is the second smallest value? (a) 1\/4 (b) 2 (c) u (d) -3 (e) -3\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 + (-8 - -12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.546146 nanograms in tonnes?\nAnswer: 0.000000000000005546146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3184 and 3456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -740 - -708. Let w be (-4)\/10 - a\/130. What is the nearest to 0 in w, 0.4, 0.3, -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-55) - (-2)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36750 + 27?\nAnswer: 36777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 11*l - 18. Suppose 15 = -4*v + 3, w + 23 = -3*v. Let z be q(w). Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 18. Let s be 3\/2 + (-25)\/(-10). Suppose -2 = -r - a, 2*a = -r + s*r - o. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + -2.22. Let w = n + -0.18. Let x = w + 4. Which is the closest to 1? (a) 2\/17 (b) x (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*k**3 + 107*k**3 - 91*k**2 - k**2 wrt k?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c - 0?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -20920*(-3 + (-11)\/(-4)) and 4707.\nAnswer: 47070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 13) to base 3\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -104*i**2 + 2*i + 1. Let q be n(-1). Let t be 1\/(95\/q + (-4)\/(-7)). Is (1\/4)\/(t\/12)*-301 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 + 11*y**4\/12 + 5*y**2\/2 + 17*y. Suppose 10*h - 5*h = -55. Does 4 divide w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2)\/s*s\/(s\/s**8))**(-6\/17) assuming s is positive.\nAnswer: s**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003271138496 to 7 dps.\nAnswer: -0.0003271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 982, -2, 6\/31, -2\/11, 0.5, -3 in descending order.\nAnswer: 982, 0.5, 6\/31, -2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -122. Let s = 191\/63 - 26\/9. Which is the closest to 0.1? (a) s (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253098566, 253098567, 253098568, 253098569, 253098570?\nAnswer: 253098571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.5 + -71. Let k = 0.04 + 1.96. Which is the third smallest value? (a) 0.1 (b) j (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 163175, 326354, 489535, 652718?\n\"Answer: t**2 + 163176*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 109 (b) -1\/6 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*s = 5, -5 = -4*y - s + 6*s. Solve y = 7*x - 16 - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 45*s + 420. Suppose 0 = 2*g - 0*v - v - 15, 40 = 2*g + 4*v. Calculate the smallest common multiple of s and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13580 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.057 - 0.257. Let b = -836 + 815. Let d = z + b. Sort d, 2\/5, 1\/4, -1 in decreasing order.\nAnswer: 2\/5, 1\/4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 2*t**2 + 3*t - 1. Suppose -5*l - 5*h = 0, 2*h + 1 = -l - 1. Let i be g(l). Find the first derivative of 10*v - 4 + 5*v - i*v wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*(3 + -3). Suppose -3*b - 3*y + 12 = 0, -3*y - 12 = -2*b - y. Suppose 31 - 231 = -5*t - a, 0 = t - 5*a - 14. Sort p, 4, b, t in descending order.\nAnswer: t, b, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 13*y - 35 = 0. Suppose -46 = y*j - 60. Solve 3*l = -j*f + 3*f, 0 = 4*l - 3*f - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 - 2051560*n - 20515200 = 0. What is n?\nAnswer: -512880, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 251262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/109, -1\/4, -103 in increasing order.\nAnswer: -103, -1\/4, -2\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 + 2)\/5)\/(-1). Suppose h = -u - 2*u. Suppose u*q = 2*q - 2, -3*q = -i + 22. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5086*s**3 + 123*s**2 - 2455*s. Let u(a) = -15258*a**3 + 328*a**2 - 7366*a. Let c(l) = -3*u(l) + 8*z(l). Find the second derivative of c(d) wrt d.\nAnswer: 30516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7040 and 289630.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36864.69t in micrograms?\nAnswer: 36864690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 1\/4*w**4 + w + 1 - 5\/3*w**3 + 1\/2*w**2. Is a(5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5177.\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14224837*c*f**2 + 3*c*f - c + 17702517*f**2 + 3*f - 4 with respect to c.\nAnswer: 14224837*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20110 (base 6) to base 16\nAnswer: -a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, v: 2, t: 4, s: 5}. Give prob of sequence svtr.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 54. Let x = -47.1 + t. What is the fourth biggest value in -1, 0.3, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 4*a + 2. Let s be y(2). Let i(v) = -12*v - 33. Let h be i(-4). Solve h = -q - s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -50. Let u = d - 24. Solve 3*f + 16 = u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - 3223232?\nAnswer: -3230131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.5114 milligrams to kilograms.\nAnswer: 0.0000345114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233*u**5*v**3 + 67*u**4*v**3 - 4*u**2*v + u*v**3 - 1249*v**3 wrt u?\nAnswer: 13980*u**2*v**3 + 1608*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40201 by 2.\nAnswer: -40201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/60 + o**4\/4 - o**3\/3 + 20*o**2 - 2. What is r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 14*u + 8*u = 0. Let m be 2\/4*0\/(-2). Solve m = -3*g - 9 - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 10 + 12)*(-7*k**2 + k**5 + 7*k**2).\nAnswer: -13*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408109.\nAnswer: 13, 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -2 + -1 + -1. Let f(w) = 2 + 3*w + 10*w - 6*w. Let q(y) = -4*y - 1. Calculate u*q(s) - 3*f(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -3\/4, -0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692 = 3*j + 4*a, -464 = -4*j + 6*j + 4*a. What are the prime factors of 1*3 + j\/((-6)\/6)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 30 + k**2)*(-2 + 3*k - 5*k + 3*k) + (3 - 3 + 2*k**3)*(-2 + 0 - 1) + k**3 + 2*k**3 - 4*k**3 in the form l*k**3 + x + u*k**2 + n*k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -24, -39, -70, -123, -204, -319?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) - -1*sqrt(160)\/sqrt(4))*-6)\/(6*sqrt(512)*1))**2 + 0.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:43 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71374566.\nAnswer: 2, 3, 23, 517207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - -2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:19 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 2\/7, 22\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Suppose -5*s + k*s - 18 = -4*u, 0 = s - u + 7. Let y be (-2)\/25*(0 - s). Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*i + 5*o, -3*i + o - 6*o + 110 = 0. List the prime factors of (i\/(-6))\/((-2)\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*u**5 - 3*u**2 - 4*u + 826 wrt u?\nAnswer: -7420*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-5)\/(-175))\/((-1)\/(-6))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 42. Let o(a) = 2*a + 1. Give o(n) + r(n).\nAnswer: 2*n + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*l**2 - 20*l - 2207.\nAnswer: -124*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:44 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u = 102*u + 602 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(1230\/120))\/(6\/(-52)*(-2 - 2))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10598294053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30489697?\nAnswer: 7, 23, 189377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**3 + 19*s**3 + 5*s**3)*(-2*s + 7*s - 3*s + (s + 5*s - 2*s)*(3 + 1 - 2) + 3*s + 0*s - s).\nAnswer: 204*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -50 - 0. Let w(i) = i**2 - 8*i + 14. Calculate the remainder when w(j) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 126 = -4*q + 145, 0 = -3*q - 4*w + 53 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*-4 + -2. Let l(j) = j + 11. Let a be l(v). Suppose -2*k - 3*c = -0*c - 17, -a*c - 5 = -5*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-147)\/2940)\/(2\/16). What is the nearest to -1\/2 in 1.6, t, 3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9 - (-1242)\/81\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 3019348.\nAnswer: 3019347.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = j - 30. Let m(i) = -18*i**j + 52*i**2 - 13*i**2 - 23*i**2. Let w(t) = -14*t. Calculate w(m(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {s: 1, e: 2, c: 6, j: 6, g: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -258289 != -258290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310 + 233*s**2 + 6617 - 3307 - 469*s**2 + 231*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k - 1. Let s be r(-6). Suppose -4*o = s*j - 14, -5*j - 3*o + 50 = -8*o. Solve 5*a + 1 = j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i - 35626 = -322494. Suppose 0 = 38*l - 72858 + i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*w**2 - 89*w**2 + w**2 - 120*w**2 as u*w + c + j*w**2 and give j.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90052027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -244. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 653.0826mm?\nAnswer: 0.6530826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 4*p = -4760. What is the derivative of -29 + 595*h**3 - p*h**3 + 29*h**4 wrt h?\nAnswer: 116*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*m**3 - 226*m**3 - 7*m - 7*m + 1 - 6*m wrt m?\nAnswer: -1164*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) 1389\/8 (d) -2\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 205*z**2 - 7*z - 84. Let f(a) = -207*a**2 + 6*a + 83. Let l(g) = -7*f(g) - 6*p(g). What is the first derivative of l(j) wrt j?\nAnswer: 438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2517454060 to the nearest integer?\nAnswer: 50174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -26.37. What is w rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 17}. Give prob of picking 2 p.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-30)\/600).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5329*k**3\/3 + 2441485*k**2\/9 - 10402176*k + 3437316.\nAnswer: -(3*k - 1)*(73*k - 5562)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfffzfvvfvfvzvvvv. Give prob of sequence ff.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95581.19 tonnes to grams.\nAnswer: 95581190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 5. Let i be (0\/(-2))\/c - -3. Solve 5*l = -5*a - 20, -i*a - 4*l - 13 + 0 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1914*g**3 - 1344*g**3 + 1659*g**3.\nAnswer: 2229*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -2\/11 (c) 24\/5 (d) -149\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 1 = 11*j. Calculate the common denominator of j and -76\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0368 + -0.0105. Round v to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -21877450.\nAnswer: -21877449.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 6 - 2 - -1*133. Let p = u - 127. What is the highest common divisor of p and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*h - 28, -5*h - 4*a = -0*a - 26. Suppose -5*q + 22 = 2*b - b, 3*b - h*q = 66. Calculate the greatest common factor of b and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, v: 1, y: 3}. Give prob of picking 1 h and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(-6*sqrt(144))*4)\/(((1*sqrt(128))\/sqrt(8))\/sqrt(2)*4).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291549313 is divided by 446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -520*x**2 - 10*x + 10. Let h be k(13). Round h to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694*l - 1693*l - 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -2. Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 0)*2)**2 + -3 + 6*(sqrt(13) + sqrt(26)\/sqrt(2)).\nAnswer: 12*sqrt(13) + 2545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let n be 2\/(-6)*-3*x. Let d(q) = -12*q**3 + q**2 - q - 1. Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in -1, 281, 4, -3\/7, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b1c + -19?\nAnswer: b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.699272 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utu when three letters picked without replacement from uuuuuuuuuuuuuuuutuu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 187266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1577*d + 6307. What is m(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*d**2 + 2*d**3 + 66*d**2 - 2 - 25*d**2 + 32*d**2 + 75*d**2.\nAnswer: 2*d**3 + 231*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3020470.6 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 122232001 (base 5) to base 13\nAnswer: 176c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246716684 and 72208.\nAnswer: 986866736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -470, -471, -472, -473, -474?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 plus 2504844992?\nAnswer: 2504844992.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6670743 months?\nAnswer: 0.00055589525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/30 + i**5\/12 - i**4 - 232*i**2. Let j(p) = -10*p**3 - 12*p**2 + 60*p. Give 5*j(y) + 12*u(y).\nAnswer: -2*y**3 + 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 11 = -1. What is the third derivative of -q**3 - 3*q**2 + 5*q**a + 4*q**2 - 3*q**3 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3209 + 3208.5. Which is smaller: 11\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -28016*o - 2213308. Calculate d(-79).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -39815 and 71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/5340 and -34\/21?\nAnswer: 37380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6109 + 6108.70996. Let r = -0.29 - y. What is r rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/120 - i**5\/20 + i**4\/12 + 2*i**3\/3 - i**2. Let b = 23 + -27. Is 7 a factor of y(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 11*p**2 - 9*p - 6. Suppose -5*f = -4*j + 13 + 29, -3*f + 3*j - 24 = 0. Give m(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 21 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024079.596 rounded to the nearest one hundred?\nAnswer: 6024100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*a - 8 + 22, -4*r = -3*a - 18. Let v = -2 + r. Let f = 1 - 0. Solve f = 5*w - d + 25, v*w + 3*d = -23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxx when three letters picked without replacement from {x: 3, v: 7, b: 1, w: 1}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -985.4 + 896. Let t = -228.5 - n. Let a = t + 148. Round a to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1953070 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 5*h + h**2 + (6*h - 2*h - 3*h)*(0*h + h + h) - 9 + 9 - 6*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 - 167127880*c\/3 + 1396586413664720\/3.\nAnswer: 5*(c - 16712788)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1001101100101111?\nAnswer: -1001101100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -46 - 2\/5*-5. What is the hundreds digit of 8\/44 - 8396\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 2*d - 7*w, 0 = -5*d - 5*w + 25. Suppose -4*k - c + 5256 - 528 = 0, 0 = d*k - c - 3553. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6324 and 675366.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 - 5*t + 4. Let c = -5 - -1. Let a(n) be the first derivative of -n**4\/4 + 2*n**3\/3 + 2*n**2 - 3*n - 2. What is c*q(l) - 5*a(l)?\nAnswer: l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103652 is divided by 518?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.71 + 0.29. Let t = -0.0808 + -0.0192. What is the closest to t in -3, r, -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 178*c - 1677. Calculate u(-10).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -832 divided by -26.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/g**(-1)*g)\/g)**(-4\/19)\/(g**0)**(-38))**28)**(1\/20) assuming g is positive.\nAnswer: g**(-84\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -11*g - 14*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-75) - (-32)\/(-360)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 2*q**2 + 3*q - 1. Let j = 92 - 90. What is d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-1)\/(-2)*-1. Let g = j + 20. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 114*o - 1365 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s + 1700 + 36*s - 92*s + 37*s.\nAnswer: -s + 1700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 318*m + 316*m + 319*m - 951*m + 8. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4093c - -8?\nAnswer: 40945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1609068\nAnswer: -5\/1609068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 56*h**3 - h - 7. Let g(w) = -173*w**3 - w**2 + 2*w + 19. Give 3*g(d) + 8*j(d).\nAnswer: -71*d**3 - 3*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*b - 398*b = 28. Let z be b - (-1 + -9 + 3). Let x(l) = -l**3 + 6*l**2 + 2*l - 9. Let c be x(6). Solve -3*v = -z*v + c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1722391 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 24*k - 12*k = 12*k - 1204 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let k(r) = 3*r**2. Give 5*b(i) - 2*k(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -k + 234, 2*k = -3*j + 399 + 43. Let b(g) = 382*g + 14580. Let m be b(-38). What is the greatest common factor of m and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155565086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -4*r. Let c = 1\/3 - r. What is the third biggest value in 5, c, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvde when four letters picked without replacement from {d: 2, f: 5, e: 1, v: 1, r: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 6*p + 4. Let q be g(3). Suppose 3*x + 405 = -4*n, 562 = -4*x - 0*x + 2*n. Let w = x + 175. Solve 4*r = q*d - w, -24 = -d - r + 5*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((0 - 13) + 0 + (161 - 84 - -47))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6845 = 5*r - 2*q, 7*q + 4121 = 3*r + 3*q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {p: 4, o: 10, w: 5}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvddddudvdvdddvddd. What is prob of sequence vu?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 + 291 - ((-2 - (-2 - -1)) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -872, -1581, -2584, -3887, -5496?\nAnswer: -7417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 - 45. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p - 2*p**4 + (p**3 + p**2 - p**2)*(-35*p - 439 + 142*p + 455).\nAnswer: 105*p**4 + 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(0*g**2 - g**2 + 5*g**2)*(-4*g + 4*g - g)*((3*g - 5*g + 3*g)*(g - 3*g + g) + 9*g**2 - g + g).\nAnswer: -32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m**2 + 136*m + 39. What is b(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w - 45085 = -8058. Let n = -470 + w. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-5*(sqrt(13) + -1) - sqrt(13)) + (1*sqrt(832) - sqrt(13)) + 0)**2.\nAnswer: 10*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 820, 1984, 3614, 5710, 8272?\nAnswer: 11300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 - -1)*10\/(-3). Let u be 3*(v\/9 - 2). Suppose -u*t + b = 4*b - 68, 4*t = -5*b + 76. Calculate the remainder when 41 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 9*o**2 - 12*o - 23. Let a be (-3)\/(1\/30*9). Let c be v(a). What is the nearest to -2 in c, 0.3, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.015, -1, 3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -121. Let x(t) = -t**3 - 4*t**2 + 4*t - 2. Let m be x(-5). Suppose -2*f = -3*h - f - m, 0 = -2*h + 2*f - 2. Put 3, h, o in descending order.\nAnswer: 3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847.004m to kilometers.\nAnswer: 0.847004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 431*z + 429*z = 24, -5*z + 24 = 4*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49705 or -2.4?\nAnswer: -49705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59984, 59993, 60016, 60059, 60128, 60229?\n\"Answer: b**3 + b**2 - b + 59983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose -l*v + 8 = -f - 9, 4*f = -4*v + 12. What is the remainder when 9 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1274) + (sqrt(1274) - (sqrt(1274) + sqrt(1274)*-3)*-4))\/(sqrt(288) + (sqrt(2) - sqrt(10)\/sqrt(5)*1))*-3.\nAnswer: -42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255767 divided by -5.\nAnswer: 255767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/12 - 5*l**4\/24 - 5*l**3\/3 + 67*l**2. Factor c(d).\nAnswer: 5*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65409519 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -91009.6332 to the nearest 100.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + 0 + 5))**2 + 1 + sqrt(252) + sqrt(42)\/(-2*sqrt(6)).\nAnswer: 11*sqrt(7)\/2 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1195389287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -154927?\nAnswer: -3\/154927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2*v**2 + 7*v + 3. Suppose -6 = 2*k - 5*k - 3*c, 4 = k + 2*c. Suppose k - 20 = -5*i + 2*w, -4*w = -2*i + 8. Is m(i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9) - (-3982)\/66. Let t = 365 - 182. What is the greatest common factor of t and h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 4420?\nAnswer: 66300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g - 185 = 0. What is the second derivative of 21*q + 11*q**2 - g*q**5 + 11*q + 186*q**5 wrt q?\nAnswer: 20*q**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*s + 201075 = 1842*s - 1078*s + 687*s for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1 - 10*x - 2 + x + 8*x. What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:33 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0\/(-6) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -161022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/17 + (-1512)\/(-153). Let a(f) = 2*f - 4. Let c be a(3). Suppose -91 = -c*l + 3*n, 34 = l - 2*n - p. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11314 is divided by 276?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*c - 23*c**2 + 23*c**2 + 30*c + 2*c**3 + 17*c**4 to the form p*c**4 + v*c + o*c**3 + q*c**2 + k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77311, 151444, 225577, 299710?\n\"Answer: 74133*w + 3178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 7*g + 4 - 14*g + 4*g - 5*g - g + (2*g - 4*g - 2*g)*(2 - 2 - 2).\nAnswer: 3*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -309529\/450099 - -48\/3847. Calculate the common denominator of 85\/12 and n.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 0*a + 11*a - 13*a - 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20432110 (base 5) in base 11?\nAnswer: 107449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 71*h + 76. Let w be m(-1). Solve w*y - i - 4*i = -5, 5*y = 4*i - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -13. Suppose -3*q - 3 = -w*q + 5*g, 3*q + 3*g = 15. Suppose u - 3*u + 36 = -4*c, 3*u = -4*c + 14. What is the lowest common multiple of u and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 7*i - 2. Let n be m(-6). Suppose 0*s - 1 = -n*s + 5*y, -y = s - 7. Let b(q) = q - s*q + 2*q. Let j(a) = -a. What is j(b(u))?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2692 divided by 4?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 9*i + 11. Let k(y) = -y**2 + y + 2. Calculate j(b) - 5*k(b).\nAnswer: 2*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-1 - (-3)\/9). Let u(g) = g**3 - 4*g**2 + 6*g - 21. Let p be u(4). Suppose p*f = -6*f. Solve f = -t*m - 2*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07923 to three dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 + 1028*l**2\/5 - 2044*l\/5 + 204.\nAnswer: -4*(l - 255)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b - 1412 + 308 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.012 + 5.012. What is the smallest value in 2\/17, 1\/6, y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3 - 76*p - p**3 + 174*p - 87*p - 2*p**2. Suppose 0 = 10*o - 7*o + 18. List the prime factors of c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(38)*-2 + sqrt(38))\/(sqrt(128) + -2*sqrt(128)).\nAnswer: -7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 350651541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 1076 = 0. Suppose 0 = 2*f - q + 28 - 208, 3*f = q + y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0842 rounded to 3 dps?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 13.7. Let v = 0.3 + 0.2. Let q = -78 + 82. What is the closest to -0.3 in s, q, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s + 51. Calculate the least common multiple of 95 and a(3).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5, 0.2, 1, 29\/2?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 12*x**2 + 15*x - 6. Let r(d) = -9*d**3 - 60*d**2 + 75*d - 30. Let m(j) = -24*a(j) + 5*r(j). Factor m(p).\nAnswer: 3*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -67. What is the remainder when 21 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) 1\/4 (c) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22847 and 165?\nAnswer: 342705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**4*y)\/y*y*y*y**(-1\/16)\/y*y)\/(y**(-3\/10)\/(y**6\/y)) assuming y is positive.\nAnswer: y**(419\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 1\/2 (b) -5 (c) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a**3 + 101*a + 9. Let k(f) be the first derivative of 3*f**4\/4 + 25*f**2\/2 + 2*f + 2033. Calculate 2*g(x) - 9*k(x).\nAnswer: -x**3 - 23*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:39 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 171*o**2 + 2*o + 5. Let u be f(5). Let m(z) = z**2 + 3*z - 5. Let p be m(-5). Find the second derivative of -4253*w - 3*w**p + u*w - 16*w**5 wrt w.\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2096764647 and 393?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 315, 931, 1827, 3003, 4459?\nAnswer: 6195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - d**4*s - 7*d**3 + 2*d**2*s - d*s wrt d.\nAnswer: 120*d**2 - 24*d*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.9416ml in litres?\nAnswer: 0.4629416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x. Suppose -2*j = j - 15. Let y(b) = 2*b - 5. Let i(g) = -21*g + 49. Let v(u) = j*i(u) + 49*y(u). Calculate 6*l(m) + 7*v(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let c(o) = 36*o - 14. Let w(l) = 4*l - 3 + 3*l + 0. Let f(v) = -3*c(v) + 14*w(v). Determine h(f(n)).\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 43 = 20*w. Sort -2, -1, -5, w in decreasing order.\nAnswer: -1, -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 53*m - 231. What is r(-46)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(24\/54) - -13. Solve o = 2*u + q + 2, 5*o + 26 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/550656 and -113\/86040?\nAnswer: 2753280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1, 4, 2 in decreasing order.\nAnswer: 4, 2, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 + 3*x - 3. Let d be n(2). Let g be 25 + 2 + 0\/d. What is the greatest common divisor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9201 divided by -3067\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -1.6. What is the third biggest value in -3\/2, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/30 - 42*t**2. Let r(s) = 156*s**2. Give r(g(q)).\nAnswer: 624*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)\/(5\/235). Is 8 a factor of (d\/(-6))\/(((-22)\/(-12))\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d. Suppose 0 = -2*w - 4 + 6. Give o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3613554*z - 6. Let o be n(-12). Let l = -18062642 + o. What is l rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-428.263.\nAnswer: 2997.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, w: 2, a: 2, l: 1, j: 1}. What is prob of picking 2 a and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 14) in base 11?\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/450 - 8864\/3060) + -1 + 4\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31964, 32025, 32086?\nAnswer: 32147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 - 18*a**2 + 5*a**3 + 12*a**2 to the form f*a**2 + n*a + s*a**3 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 80279?\nAnswer: -8027d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000533277 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.86 or 2272?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 - p**4\/12 - p**3\/6 + 753*p**2\/2 - 2*p + 24. Let l = -14 + 14. Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/5, 3, -4, -6, -103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342 + -231. Let q = g + -64. Suppose -3*y = -y - 32. Calculate the remainder when q is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 2580 = -59*k - 899 + 3415 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 12*o**2 + 74*o + 10*o**2 as v + p*o**2 + i*o and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 4*b - b - 3*b + 3*b + (0 + 5 - 3)*(b + 2 - 2) + 1 - 1 - b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 8 (b) -6\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6 - 1)*(-40)\/(-15)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (1 - (0 + 2)). What are the prime factors of g\/(8\/18) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -330*s**3 + 98*s**2 + 1327*s + 109.\nAnswer: -1980*s + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 - 164. Solve 3*s - 3*l = -6, 4*l - v*l = 5*s + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 40\/154469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-378) - 135\/(-420).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 + 1831*f**4 + 1834*f**3 - 3664*f**2 = 0 for f.\nAnswer: -2, 0, 1, 1832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - o + 4 - 3*o + 2*o + 2*o + (0 + 5 - 4)*(0*o + o - 2*o) - o + 0*o + 3*o - 2*o + 4*o - o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*v + 6, -2*h - 7*v + 3*v - 2 = 0. Let f(n) = n + 0*n + h - 6*n - 2*n. Let i be f(-7). What is the greatest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 7. Suppose 29*m - 24*m - 110 = 0. Let h = m - 16. Calculate l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125.3 - -125. What is the second biggest value in h, 0, -1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423364.8 nanometers to micrometers.\nAnswer: 423.3648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/3 or -3004?\nAnswer: -3004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 + r + 1. Let p(x) be the second derivative of x**4\/12 + x**3\/6 - x**2\/2 - 4*x. Let s(n) = o(n) + 3*p(n). Factor s(v).\nAnswer: -2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 5*m + 3*h, 2*m + 4*h - 35 = 41. Let b be (-4 + 0)\/(41\/(-492)). Let o = b - m. Solve -4*z - 2*n - 18 = 0, 0 = -4*z - n - o - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001000011111101101001 + -100?\nAnswer: -10011001000011111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + -21. Let n = 36 + m. Solve n = -4*f - 12, 18 = -k - 6*f + f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 286, 284, 280, 274, 266, 256, 244?\n\"Answer: -n**2 + n + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-7)*-5*140\/200?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/6 + 16179631*m\/6 - 5393211 = 0. Calculate m.\nAnswer: -16179633, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i - i - 2*i - 3*i. Let h(u) = 3*u + 4. Let l(a) = -15*a - 21. Let n(y) = -21*h(y) - 4*l(y). Determine w(n(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.2 (b) -38 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 146068877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-120))\/(213\/192 + -1). Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - 2*sqrt(45)*3)\/(sqrt(9) + (-1*sqrt(1296) - sqrt(1296) - sqrt(1296) - sqrt(9)))*1.\nAnswer: 5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195 - -200. Suppose -z*l + 10 = -5*m, l = 11*m - 7*m - 7. Let y(o) be the third derivative of o**5\/60 - 7*o**4\/24 + 5*o**3\/6 - o**2. Determine y(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14577 is divided by 645?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(153) + -5)**2.\nAnswer: -540*sqrt(17) + 8412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*r**5 + 0*r + 0 + 0*r**2 + r**4 + 0*r**3.\nAnswer: r**4*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - 20\/60. Let z be (r - (3 - -2)) + -4. Is -7 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -w + 21 - 6, 3*w - 4*l - 71 = 0. Let n(h) = 15*h - 84. Let x be n(6). Calculate the greatest common factor of x and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/14)\/((-2)\/(-4)). Let g = 192.5 + -192. Let v be 1\/2*6\/(-33). Which is the third biggest value? (a) v (b) -2\/11 (c) g (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003167582 to 6 decimal places.\nAnswer: 0.000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 578080 to the nearest ten thousand.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*y - 5*p, 2*y + 67 = -3*p + 65 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1221464 + 616?\nAnswer: 1222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(180)*-1*-5 - (-1 + sqrt(180))*3)**2.\nAnswer: 432*sqrt(5) + 4374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 10*m + 7. Determine w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + (-2088)\/36 - (33\/(-7) - -2).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - (9 + (14 + -19 + -12 - 72))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/5))\/l*l**(1\/7))**33)**(18\/7) assuming l is positive.\nAnswer: l**(-1188\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 + 363. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 2*c + 1. Suppose 0 = 3*w - 2*m - 3, 2*w + 0*w = 3*m - 3. Suppose -4*v + 8 = -w*g, 4*v + 0*g - 8 = -2*g. Determine h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15327188, -30654378, -45981568, -61308758?\n\"Answer: -15327190*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115047\/416312 + -10\/4003. Find the common denominator of 69\/16 and s.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -344 + 8*o**2 + 25*o**2 + 360 in the form r*o + p + l*o**2 and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**5 + 67556*m**4 - 380227656*m**3 + 712672829352*m**2 + 2855636979660*m + 2142583855092 = 0.\nAnswer: -3, -1, 5631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*24\/((-12672)\/(-1100))*112\/50.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15)*10\/(-4). Suppose -5*l - 6 = -11*l. Let a = o - l. Solve 4*w + 4 = -a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 10*u - 135. Let n be m(25). Calculate the highest common divisor of 144 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8633790.\nAnswer: 2, 3, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-30)\/11) - (-15 - -14)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 minus -89?\nAnswer: 89.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -23. Let l = 9.9928 + s. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.286069 - 1374947.\nAnswer: -1374912.713931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001114729883 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -10 - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 41. Let l(k) = -k + 4. Give l(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -14*i + 52. Suppose 5*w = -5*l + 20, -4*w - 6*l + 10 = -8*l. Factor 3\/2*q**i + 0*q**2 + q**w + 0 + 1\/2*q**5 + 0*q.\nAnswer: q**3*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -79, -148, -235, -346?\n\"Answer: -h**3 - 50*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 - 2*y - 3. Let r be 3 + -2 - 2\/(6\/159). Let t = r + 55. Determine g(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(7\/5))\/y**(-4\/17)*y**(-31)*y*y**(-22)*y)**43 assuming y is positive.\nAnswer: y**(-187007\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 - 16*j - 1. Give m(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-10))\/(10\/(-75)). Let m(n) be the first derivative of -y*n**2 - 1\/8*n**4 + 1 + 1\/2*n + 1\/2*n**3. Factor m(r).\nAnswer: -(r - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13026*v - 1170. Does 13 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4296, 2298, 312, -1656, -3600, -5514?\nAnswer: -7392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 8?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*l - 112*l - 36*l)*(2*l + 35 - 22 - 17).\nAnswer: -220*l**2 + 440*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 255392 (base 10) to base 16\nAnswer: 3e5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -7. Let b = 1 - s. Solve -v = b, -3*f - v - 24 = 4*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 1266 - 422. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*-2 - sqrt(8)) + sqrt(200)\/sqrt(4) + 3.\nAnswer: 3 + 14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1 (c) 3 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*7.41\nAnswer: 14.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11b - 82?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 467*f + 1413. Give j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.7, 2\/3, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3423 (base 6) to base 15\nAnswer: -38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25614 and 62132449?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, z: 2, e: 1, h: 1}. What is prob of picking 1 m and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5567.4 in 5\/3, -2, 1\/125?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 4*p**3 + 2*p - 2*p - p**4 + 6*p**3 to d*p**3 + h + a*p + v*p**2 + u*p**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:52 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - 5*p**2 + 5*p - 5. Let x(q) = -6*q**3 - 7*q**2 + 7*q - 7. Give 7*l(m) - 5*x(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*p - 140 + 61*p - 182*p + 58*p + 432 to the form n*p + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - 12 - (44 - 29))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1442012 - 2442?\nAnswer: -2000004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 3 - (-1252 + 1298)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201 - 200 - (1 + 45 + -2)) + (9 - -2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*j*u**3 - 3896*j*u**2 - 3*j + 3*u**3 - 29*u**2 - 951113*u - 6 wrt u?\nAnswer: 1296*j*u - 7792*j + 18*u - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-590)\/(-11))\/2 - 6\/(-33). Find the second derivative of -106*n - a*n**5 - 67*n + 202*n wrt n.\nAnswer: -540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 2*n)*(-2 + 3 - 5) - 847 + 847 - 14*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(135)*-2)\/(sqrt(108)\/(sqrt(24)\/sqrt(2))))\/((-1*sqrt(3888) - sqrt(3888)) + sqrt(3888) + (sqrt(144)\/(sqrt(3)*1) - sqrt(48))).\nAnswer: 5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(28)*2)\/(sqrt(32)\/(sqrt(8)*2)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 - (-155655)\/18*24\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -600*r - 666. Let s(z) = 602*z + 664. Let l(h) = 4*s(h) + 3*v(h). Find the first derivative of l(k) wrt k.\nAnswer: 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52274333 and 1895.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0388 - 1.9612. Put 0, -1\/3, z, -2.1 in descending order.\nAnswer: 0, -1\/3, z, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 86.58124?\nAnswer: -86.65124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.20104 - -6.2. What is l rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + -1)\/(118\/53631)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4794 + -3036. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**4 - 42*v**4 + 2*v**3 + 18*v**4 + 17*v**4 + 1 + 557*v to the form h*v + k*v**2 + o + w*v**3 + g*v**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 - 1 + 0)*(-4*t + 7*t + t + (-7*t + 8*t + 4*t)*(-1 + 3 - 4))*(-2*t - 3*t + 3*t).\nAnswer: -12*t**4 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 13*g**2 + 19*g - 5. Let n(u) = -u**2 + u + 1. Suppose q - 5 = 2*q, -4*q - 35 = -5*s. Let j(k) = s*n(k) - b(k). Factor j(i).\nAnswer: -2*(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 908 = -3282. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*(sqrt(1377) + 1 + sqrt(1377) + sqrt(1377))*4)*6)**2.\nAnswer: 108864*sqrt(17) + 28555236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 11 - 6*s**2 + 6*s**2)*(s**2 + 2*s**2 - s**2).\nAnswer: 4*s**5 + 22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 4:14 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56.1 + -55.7. Which is the third smallest value? (a) -0.3 (b) 3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*m**2 + 72*m**2 - 101*m**2 - 321*m**2 - 2*m + 2*m**2 as l + i*m + b*m**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-8\/15)*(b**(2\/3))**(-22\/7)*((b**(-1\/3)\/b)\/(b*b**(-3\/4)))**(2\/19) assuming b is positive.\nAnswer: b**(-251\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (240\/(-75))\/((-1)\/5). Let z = i - 18. Let j(a) = -22*a + 2. What is the tens digit of j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -1 - (-23862)\/2952 - (-21)\/1044.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 24 = -5*a, 4*a = 31*j - 28*j + 3. Solve -105\/2*h + j*h**2 + 26 - 1\/2*h**3 = 0 for h.\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1 + 4 - 2). Suppose 0 = -2*f + 5*p + 40, -f + 4 = f + x*p. Calculate the highest common divisor of 110 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0990289 rounded to three dps?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947024515 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzoz when four letters picked without replacement from {z: 9, o: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141241 - -12403011?\nAnswer: 13044302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 671000, 1341990, 2012980?\nAnswer: 2683970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:33 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4486*c*f**3*u + 21*c*f*u**2 + c*f - 7*f**3*u**3 + 26*f**3*u**2 - 5*f*u wrt u.\nAnswer: 42*c*f - 42*f**3*u + 52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = -a + c, -c + 3 = 4*a. Let r = -8\/11 + 65\/44. What is the common denominator of (a - (-219)\/24)*-2 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.52 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 5*m - 2, -x + 3*m = -4. Suppose 19*z = 11*z - 24. Let c = x - z. What is the second biggest value in -2, c, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 3:47 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167904 is divided by 1905?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 8 + 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-11) + (6 - 1080\/220)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**(-4\/11)\/g)\/g*g))**50)**(-3\/11) assuming g is positive.\nAnswer: g**(-2250\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 2, e: 1, z: 4, g: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -703.\nAnswer: 5\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4406 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 258.6 + 9443\nAnswer: 9701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7061 (base 8) to base 5\nAnswer: 104013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215358 and 8151.\nAnswer: 4091802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1, -34, 0.5 in descending order.\nAnswer: 4\/3, 1, 0.5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 3*b**5\/5 + 17*b**2\/2 - 5*b + 20. What is the derivative of u(k) wrt k?\nAnswer: 12*k**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 10237943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.084? (a) -1 (b) -1955 (c) -3\/4 (d) -1\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 + 339. Let j be (-3)\/(-9)*(2 + (0 - n)). Solve 13 = -6*i + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8306 - 8315. Suppose p - 4 = -1. Put -5, x, -2, p in increasing order.\nAnswer: x, -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11046167063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -5 - (-2 - (9 - 17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-174)\/2697 + (-68826)\/(-93). Calculate the highest common factor of 40 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i = -49*i - 20. Let m(t) = -5*t**2 + 13. Let j be m(i). Let z = j - -558\/5. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 472\/(-295)*(-8)\/(56\/35)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -49 (c) 6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280895738?\nAnswer: 2, 71, 83, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*d + 24*d**2 + 35*d)*(-2*d + 3*d + 0*d) + 2*d**2 - 209 + 21*d**3 + 209 to r + c*d**3 + z*d**2 + w*d and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 3. Calculate c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, 1, 17.1, -5, 1\/2 in increasing order.\nAnswer: -5, 1\/2, 1, 17.1, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r + 25*r + 14*r + (r - 2*r + 2*r)*(-3 + 3 + 1)*(-2 + 0 + 4) as h + d*r and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20385*p**3 - 591155*p**2 - 1100500*p + 540 = 0.\nAnswer: -27, -2, 2\/4077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d + 415. Determine m(43).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 - 141*i**2 - 34*i + 40. Let l be m(-35). Which is smaller: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*k = 42 - 129, -15*k - 21 = -2*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 19*l - 188. Determine w(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(24)\/(sqrt(48)\/((sqrt(6) + sqrt(12)\/sqrt(2) - sqrt(6)) + sqrt(6))))**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/156)\/(((-4212)\/(-32))\/(-9))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1026680*m**3 + 8*m - 129807 wrt m?\nAnswer: -6160080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.98308 - -0.01692. Which is the closest to -1? (a) 1\/6 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/((-3)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10786 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*n - 127. Let q = 2 - -13. Suppose 3*y + q = 0, 0 = 4*k - 2*k - 2*y - 280. What is the greatest common factor of n and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011619 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*n - 550539 = -548779 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78549, 157058, 235567, 314076?\nAnswer: 392585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 351\/5. Let y(t) = -3*t + 4. Let z be y(3). Let h = -257\/1900 - -3\/100. What is the third smallest value in z, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 26*m**2 + 17*m - 1988. Determine w(-29).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 25333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*c*o**2 + 17*c*o - o**2 - 295*o wrt c.\nAnswer: 73*o**2 + 17*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrgr when four letters picked without replacement from {g: 7, r: 6, f: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/102193 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000850828483 to 7 decimal places.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49942007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2)\/(5\/(-20)). Let n = -2 + l. Let m = -2 + n. Solve -r + 2*r - 3 = b, -18 = -r + m*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5*sqrt(162)*-2)**2 - sqrt(162) - (1*sqrt(162)*-2)**2)*1.\nAnswer: -46656 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, 2, 4\/8391985, -2?\nAnswer: 4\/8391985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 8*x**2 + 18*x - 10. Give u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 715413179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*(92\/69 - (-1)\/(-3))*11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15*c**2 - 4*c + 4*c - 14*c**2 - 13. Let h be k(4). Solve 4*y = -9 - h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 > 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 42. Let w = h - -15.5. What is the second biggest value in 5, 5\/3, w?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4866665*m**2 - 5*m. Let q be g(3). What is q rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 25 = 17. Let f(o) = o**2 + 4*o - 4. Give f(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 141?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*j + 8. Let t be ((-4)\/(-5))\/(3\/30). Let y(z) = z**3 - 5*z**2 - z + t*z**2 + 4*z. Calculate y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247931 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -8.2, -169?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234568.\nAnswer: 2, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1038444, -1038449, -1038456, -1038465, -1038476?\nAnswer: -1038489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w. Let i(d) = 10*d + 1 + 6 + 3 + 2*d. Let t(n) = -n - 1. Let f(b) = -i(b) - 10*t(b). Determine f(s(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102052*l + 9537*l - 89 + 89 + 9553*l.\nAnswer: -82962*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 18\/13*n**3 + 0*n + 0*n**5 + 0 + 1\/780*n**6 - 9\/52*n**4 - 262*n**2. Let w(k) = 0. Calculate k.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:30 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209.6 + -209.3. Let j = 0.17 + -7.17. Sort k, -0.3, -1, j in decreasing order.\nAnswer: k, -0.3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 13*d - 22. Give n(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 111 = 363. Let c = -117 - -130. Calculate the remainder when f is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 3*x**2 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4*i + 2. Let o be n(-4). Let p(z) = z**3 - z + 8*z**2 - 8*z**2. Let y be p(-1). Solve o*d + y*d = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l - 21. Let a(r) = 7*r - 10. Give -14*a(t) + 6*j(t).\nAnswer: -2*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7353 divided by -12\nAnswer: 2451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 407438 divided by 2?\nAnswer: 203719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14028)\/25718*22\/28?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 6*h**2 + 6*h**2 + 17*h**4 - 110 + 110 + (3*h + h - 2*h)*(-h**3 + 0*h**3 + 3*h**3).\nAnswer: 23*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3204780706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 10*o + 2321 = 3*a, 3*a - 2306 = -2*o. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 0) + (1 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2115, 2016, 1913, 1806, 1695, 1580?\nAnswer: 1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 12 = 3*v. Suppose 7*d + 45 = 3*y + v*d, 3*y + 2*d - 27 = 0. Let q(k) = -3*k**2 - 10*k**2 + y*k**2. Let s(m) = 3*m. Calculate s(q(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/(19215\/(-189)))\/(-1 + 177\/180)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is -121012013300 (base 4) in base 5?\nAnswer: -3141004142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 68*x - 67*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 127*a**2 - 58*a - 284. What is j(63)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -10. Let w = 94 - 92.65. Let a = w + -1.05. What is the third biggest value in x, 4, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.3. Let w = -13 + 9. Let g be 52\/44 + w\/22. What is the closest to f in -0.1, -3, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976 = -253*x - 1482 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:05 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 5*v**2 - 2*v - 7. Let t(a) = a**2 + 4*a - 1. Let k be t(3). Suppose 0 = -4*m - 0*m - k. What is the units digit of z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 746344640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 540 - -123666?\nAnswer: 124536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gky when three letters picked without replacement from kkyggkkykkgkykyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048224 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.06, -3, 4\/23, 0, 104 in decreasing order.\nAnswer: 104, 4\/23, 0.06, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.222 times -13706?\nAnswer: 3042.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 9*r + 12.\nAnswer: -3*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h - 1. Let s(r) = -4*r**2 - 5*r + 7. Let f(j) = -s(j) + 3*w(j). Let p be f(-9). Put 4, p, -2 in descending order.\nAnswer: 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9463936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*x = -4, 1339*v + 2*x - 7*x + 60 = 1344*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, v: 2}. Give prob of sequence zz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7454 + 14?\nAnswer: -7440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhhhbbhhhhhbhhhhb. What is prob of sequence bbb?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263909 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52914 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) -2\/11 (c) 4 (d) -5 (e) 2\/11 (f) -3\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 236*b**2 + 8452*b + 176. Determine d(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/6 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 77, 132, 199, 278?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 j when three letters picked without replacement from {g: 6, w: 9, j: 1, i: 3}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.08, 2\/13, -0.11, -5\/6, 1\/26, -0.5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1116243 + 1116265.06413. Let x = n + -327.11643. Let c = -305 - x. What is c rounded to three dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 40 = -2*f - 3*f, -4*s - 1704 - 1538 + 787 = -275*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1469, 1796, 2123, 2450, 2777, 3104?\nAnswer: 3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10406*s + 63. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12330 or 13981?\nAnswer: 13981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:48 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1. Let v be l(7). Let g be (1\/2)\/((-1)\/v). What is the third derivative of -4*d**2 + g*d**2 + d**4 - 2*d**4 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 74?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 938428023 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l)**(2\/11)\/(l*l**(-1\/5)*l*l*l*l\/(l\/(l*l**(-3\/22)*l))) assuming l is positive.\nAnswer: l**(-5387\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2. Let q(m) = 5*m + 40. Let l(o) = 25*j(o) + q(o). Let b be l(3). Solve -3*z = 4*a - 1, -z - a = -2*a - b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -178b + -300?\nAnswer: -1a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1050636 + -140?\nAnswer: -1050776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 + 272*m**2\/7 - 3956*m\/7 - 4232\/7.\nAnswer: -4*(m - 46)*(m - 23)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-342)\/(-95) - ((-4)\/(-5))\/(-2). Suppose -k*l - 5*v = -2073, -13*l + 18*l = 5*v + 2535. What is the highest common factor of l and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 488 = -464 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 2:55 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 52 + (3 - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - -11456.1?\nAnswer: 11455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 7*z - 2*z + 17, 3*f + z - 1 = 0. List the prime factors of 5 + (-3)\/6*f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-103888)\/(-80) - (-14)\/35 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - j**2 + 2*j. Let i(c) = 21*c**3 + 109*c**2 + 136*c. Let q(a) = -i(a) + 8*l(a). Suppose q(f) = 0. Calculate f.\nAnswer: -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 3*f + 12. Let t be k(-5). Suppose 300 = t*m - 5*m. Let d = 234 + m. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 561, 1080, 1777, 2652, 3705?\nAnswer: 4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3226 - 2083. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = n - 12208, 5*r - 14 = 6. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 - -0.028. Is -0.1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 16 = 10*f, -8*n - 1644 + 1657 = 3*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/24 + h**3\/2 - h**2 - 1. Let l(u) be the second derivative of i(u). Let b be l(7). Solve -3*x = -x - b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l. Suppose 6 + 2 = 4*n. Suppose -2*t + 4 = n*t. Determine y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + r + 10109, -p = 3*r + 2*r - 5038. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-27)*(-429)\/(-13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2. Let b = 5 - 10. What is the closest to -1 in -1, g, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let g(w) be the first derivative of 17*w**3\/3 - 8. What is m(g(h))?\nAnswer: 578*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -13*y**3 - 11*y**2 - 9*y + 16. Let h(k) = -24*k**3 - 21*k**2 - 17*k + 30. Let b(o) = -6*h(o) + 11*s(o). Give b(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 69*l**2 - 14*l**2 - 20*l**2.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 146836 - -1*(38 + -15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 1116*u**2 + 152958*u - 151844 = 0. What is u?\nAnswer: 1, 238, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-4\/3)\/k*k*k**(-10)*k**(1\/4)\/k**15 assuming k is positive.\nAnswer: k**(-301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*t + 59, 2*n - 62 = -4*t + t. Suppose -2 = -3*v + n. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123122 - 3?\nAnswer: 123113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -774.86 + 863.614. Let j = 89 - x. Let u = j + -0.21. Round u to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8087 or -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**3 - 4*u**2 + 4*u - 4. Let r(k) = k**3 + k**2 + 1. Let x(t) = h(t) + 4*r(t). Factor x(y).\nAnswer: -y*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) -3\/2 (c) -2 (d) -5 (e) -30 (f) -1 (g) -1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -733?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g - 1. What is t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -187*a + 848. Give h(10).\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.0833 and -61?\nAnswer: 59.9167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 12250\/425 - (-2133)\/(-51).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25584 - -174853. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let k(y) = -5*y - 10. Let r(s) = 4*s + 9. Let z(x) = -6*k(x) - 7*r(x). What is -3*d(v) + z(v)?\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a**2 + a. Let s(c) = -34*c**3 - 6*c**2 + 6*c. What is -s(v) + 6*y(v)?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*a - 4, 3*y + 2*a - 12 = a. Let c(v) = y - 8 - 10*v + 0*v + 5. Calculate c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - -16.5\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 547\/5. Put 6, n, 30 in descending order.\nAnswer: 30, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52707.\nAnswer: 3, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 - 2*x**4)*(-4*x + 4*x - x) - 81 - 21*x**5 - 3*x + 81.\nAnswer: -19*x**5 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.1 + 49. Suppose r - 15 = z - 2*r, 0 = z + 2*r - 10. Suppose -5*p + 5*d - 20 = z, -d + 6 = 5*p + 14. Sort c, -5, p in ascending order.\nAnswer: -5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-56)\/98) - (-10 + 3201\/44)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 27 = 2*b - 20, 76 = 3*b + 4*f. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, 9\/43, 5, -0.04, -2\/105?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-47*x**3 + 140*x**3 + 0*x - x).\nAnswer: -186*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -12)*1088\/(-32). Let w = o - 304. What is the remainder when w is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 + (-2 - -3). Suppose 163 = 5*v - 2*m, z = v - 6*m + 2*m - 29. Suppose -4*n = p - 41, 0 = 4*n + 2*p - v - 5. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1087*b**2 - 3*b**3 - 1087*b**2 - 3*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-84)\/10 + 6\/15. Let r = q - -13. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1850)\/(-222)*(-36)\/(-320)*(-64)\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2164.7282942 - -0.2.\nAnswer: -2164.5282942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 63661.351+1510\nAnswer: 65171.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11424713 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*s + 3*s + 1, 0 = 3*s + k + 2. Let c = 0.46 - 0.26. Let d = -622 - -615. What is the fourth smallest value in 4, c, s, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = 1. Let z be 228\/(-95) + (-14)\/(-10) + n. Let o be 18\/(-63) - 19\/7. Sort z, o, 3 in decreasing order.\nAnswer: 3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8*w + 5*w - 12*w)*(2*w + w + 0*w) - 3*w**2 + 3*w**2 - w**2)*(30*w - 21*w + 452*w)*(-4 - 3 + 4) to h*w**2 + d*w**3 + b + u*w and give d.\nAnswer: -2766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2*w**2 - w + 95. Let o be t(0). What is the highest common factor of 38 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15 - 117\/(-54)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.871 - -0.129. Let l = a - 146. Let w = l + 92.00078. What is w rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11414 - 11412. Suppose -8*n + 6*n = 0. Sort 7, 1, j, n in decreasing order.\nAnswer: 7, j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 3, k: 4, p: 1, r: 4}. Give prob of sequence kuk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 4570692?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5384)\/3365)\/((-292)\/5).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*m - 96 = 0, m + 6 = 4*m. Let u = p + 0. Let f = u - 14. Solve -4*h - o + 19 = 0, -4*o + f = 2*h - 2*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1206 - -488. Round s to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let m(n) be the third derivative of 3*n**5\/20 + 6*n**2. Determine q(m(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13044*k**2\/5 + 51993*k\/5 - 732\/5.\nAnswer: 3*(k + 4)*(4348*k - 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/273496876 and 119\/20.\nAnswer: 1367484380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + -1 + 1. Suppose 0 = 2*g - 5*g. Let i(f) = -f - 4*f**2 + g*f**2 - 5*f**2 + 4*f**2 + 1. What is i(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13464*j**2*o**5 + 30*j**2 - 2*j*o + 15*o wrt o?\nAnswer: -269280*j**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409.000000582 + 409. Round m to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24141612 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*j, -v = -4*j + j - 16. Suppose 0 = -v*m + m. Suppose -5*f = 0, m = -k + 3*f + 2 + 3. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*y - 13, 3*f - 5*f = 5*y + 21. What is the lowest common multiple of f\/(-3) - (564\/(-36) - 5) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**3 - 84*w**2 - 4*w + 11. Let h(f) = -f**3 - 2*f**2 + f - 1. What is -4*h(m) - q(m)?\nAnswer: -m**3 + 92*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*t**2 + 29*t - 2 - 29*t)*((0*t - t + 0*t)*(-3 - 1 + 5) + 10*t - 19 + 19) to p*t**2 + r*t + j*t**3 + l and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.6. Let f = -0.9 - y. Which is the closest to -1? (a) f (b) -2\/5 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22104 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) 1\/3 (c) 6.21 (d) 3 (e) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/96*(48\/(-8) + 48\/69). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2 (c) -1\/3 (d) -0.4 (e) 225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 209431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-46)\/(-14) - 37\/(-7). What is the highest common factor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1485*u - 16454 = 394*u + 8639 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1 - -13) + (63 + -77 - 24)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/4, 16, 0.1, 5\/4, -0.1, 1 in increasing order.\nAnswer: -0.1, 0.1, 1, 5\/4, 9\/4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*f = 47 - 68, 4*x = 5*f - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 0 - h**2 + 0*h - 1\/2*h**3 + 1\/2*h**5 = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 6522*f.\nAnswer: 3*f*(f + 2174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -91542 to the nearest one thousand.\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/324 and -137\/17064?\nAnswer: 51192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y + 23*y - 16*y + (-4 + 3 + 2)*(-4 - y + 4).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(-3)*f))\/(f\/((f\/(f*f**4\/f))\/f*f))*f**(5\/6)\/f*f*f*(f*f*f**(-1\/4)\/f*f)\/f)\/((f**(-1\/3))**(-16)\/(f**(1\/2)\/f)**(-4\/25)) assuming f is positive.\nAnswer: f**(-567\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:43 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -203, -813, -1831, -3257, -5091, -7333, -9983?\n\"Answer: -204*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhpenfjfh. What is prob of picking 1 f, 1 p, and 2 h?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74032 rounded to the nearest one thousand?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100110111100110101?\nAnswer: 100110111100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657 divided by -173.\nAnswer: 657\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.2 - -0.8. Let s = 40.4 - m. Let y = -4 - -1. Which is the smallest value? (a) y (b) s (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g + 1. Let u(x) = -4*x**3 + 17*x. Give -u(z) - 3*v(z).\nAnswer: z**3 - 14*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*f + 10*f - 33, -3*f + 27 = 2*g. Let j = 23 - -1. Calculate the remainder when j is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*y = -b - 8, -b + 2*y = 1. Is b < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 4, 2\/9.\nAnswer: -0.04, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Suppose 2*m = -k + m + 17, g = m. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/201762208 and 95\/16600688?\nAnswer: 2622908704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {j: 1, a: 1, e: 2, o: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a31 (base 16) in base 8?\nAnswer: -515061","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 3*s - 2. Suppose -103 + 13 = -15*k. Determine d(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3599\/24 + 1029\/8. Let a(c) = -2*c**3 + 25*c**2 - 17*c + 40. Let q be a(12). Is q <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -45. Let t = 2 + -7. Let s = y - t. Let v(n) = -n**3 + n**2 - 3. What is v(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 6020?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 984911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 9:37 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25883963 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.0029 + 0.1939. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*y + 38 = -0*c, 3*c - y - 59 = 0. Let n be 7162\/70 + 8\/c. Let h = n + -103. Which is smaller: 2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 852\/568*(-15 - -13)\/((-2)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5065795.\nAnswer: 5, 7, 144737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*v = 18, 3*r - 7 = -51*v + 48*v - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3+-31.0766308\nAnswer: -34.0766308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11 = g, 5*g + 2*a - 37 = -0*a. Let c = -8 + 12. Let t = c - g. Sort t, 1, 7 in descending order.\nAnswer: 7, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 4*q**3\/21 - 4. Factor f(t).\nAnswer: 4*t**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 17*y**2 - 16*y + 40. Let a be z(-18). Suppose j - 2*r + a = 15, -j + 17 = -5*r. Let u(f) = -3*f + 1. What is u(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/221 + 486\/2431. Which is the second smallest value? (a) d (b) 0.09 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 11*m**3 - 18*m**2.\nAnswer: -m**2*(m + 2)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i + 7. Determine q(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 769 = 2*b, -57*b + 60*b - r = 1230. What is the remainder when 1109 is divided by b?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 93*f**2 - 8*f - 740. Let b be x(-93). Solve b*o - 5*o - 4*r = 2, 2*o + 5*r + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in -1\/12, 1\/7, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 = 5*z, 2*z + 3 = 2*x - 1. Let t be z - -7 - (1 - 13). Calculate the greatest common factor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11608, 23032, 34264, 45304, 56152, 66808?\nAnswer: 77272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10 - (-6)\/4. Let m = -11 - -15. Differentiate -a**4 - k*a**4 + m*a**4 - 2 with respect to a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(7) + (sqrt(14)\/(-1*sqrt(2)))**2)*-2 - ((sqrt(42) - sqrt(1050))\/sqrt(6) - -4*sqrt(175))) + 5.\nAnswer: -18*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-24\/11)*w**(-20)*w\/(w\/(w*w\/w**11)) assuming w is positive.\nAnswer: w**(-247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6526708 is divided by 2788.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*-1*4\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0403 or 24.35?\nAnswer: 24.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -62, -159, -306, -509, -774, -1107?\n\"Answer: -l**3 - 16*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/(-8)*(-192)\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129*j - 143 wrt j?\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/6)\/(8\/(-6)))\/((-225)\/30)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezezeezz. What is prob of picking 2 e and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*q**2 + 9546587*i**3 + 27*i**2*q**2 + 382*i**2*q - 4*i + q**2 wrt i.\nAnswer: -12*q**2 + 57279522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 + t**2 - 6*t**2 + (-2 + 0 + 1)*(-7*t + 3*t**2 + 7*t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 3*k**2)*(-15 - 35 + 6) - 3*k**2 + 2*k**2 - 2*k**2 + 3*k**2 + 95*k - 95*k.\nAnswer: -132*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16457505 divided by 4?\nAnswer: -16457505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-60)*2079\/48. Let u = -51\/8 + g. Which is the closest to 1? (a) u (b) 1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4485870 and 7110.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 + 11*y + 62. Let a be f(-7). Suppose -125*x = -a*x + 74123. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 >= -104802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 28*s. Let k(b) be the second derivative of -29*b + 0*b**2 + 1\/3*b**3 + 0. Determine c(k(f)).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/43820 and -51\/70112.\nAnswer: 350560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 1 - 11. Suppose -6*g - 20 = -g, -3*c - x*g = -52. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 25*c**2 + 5*c - 124. Let p be i(25). Which is smaller: 1\/57 or p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 7.8, -7, 43, -2\/9, -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23208\/30*30\/4. Let p be n\/102 + 6\/51. Suppose -5*f + 3 = -p. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/4)\/(6\/216*-1). What is the greatest common divisor of j and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 122*c**2 - 1833*c + 5293. Give y(105).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 56, 105, 174, 269, 396, 561, 770?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2573775*h**2 + 4*h - 2405328?\nAnswer: 5147550*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3316005ms to seconds.\nAnswer: 0.0003316005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**2 + v - 2. Let k be s(1). Let h be 4 - (2\/(-3) + 9408\/(-63)). Calculate the greatest common divisor of k and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = -5. What is the first derivative of 6 + 71*f**3 - 107*f**3 + 6*f**2 - q*f**2 wrt f?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 212*l**3 - 1320*l**2 + 1408*l + 2944.\nAnswer: -4*(l - 46)*(l - 4)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 6*j**2 - 6*j. Suppose 2*c - 7*c + 35 = 0. Let a(h) = -c*h + 4*h**3 + 19*h**2 - 4*h - 8*h**2. Calculate -6*a(g) + 11*o(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, 5, -5\/496 in ascending order.\nAnswer: -7\/2, -5\/496, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -486, -3\/2 in increasing order.\nAnswer: -486, -6, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-14) + (-12)\/210*-10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 - 8)*(-4*x**3 - 4*x + 4*x + 2*x).\nAnswer: -12*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 38. Let v be q(15). Let b = -2445 + 2443. Put b, v, 6, -5 in increasing order.\nAnswer: -5, b, 6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 1806686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007882329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.47 + -8.47. Which is the nearest to w? (a) -1\/3 (b) 5 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(38)\/sqrt(2) - (sqrt(19) - (sqrt(19) + 1 + -1)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 divided by 38?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24783241 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13330 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtbtkjbbppjttbpbtp. What is prob of picking 1 t and 1 b?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 38*a**2 + a. Let s be (-1 - (-1083)\/6)*6. Let r(b) = s - 1077 - b. Determine r(o(m)).\nAnswer: -38*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102593243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47\/378 + 1\/54. Let n = -6.5 - -4.2. Let j = n - 3.7. Put -4, j, q in decreasing order.\nAnswer: q, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12014 - 20?\nAnswer: -12034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, w: 3, s: 10, m: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.98 - 1.118. Round n to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*i - 7*i - 10*i)*(-91 + 2 + 240) - 5*i + 17 - 17 + (i - 2*i + 2*i)*(-2 - 1 + 2) as y + t*i and give t.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034305 rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12013130 (base 4) to base 11\nAnswer: 17905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 23*c**3 - 13*c**2 + 7*c + 17. Let y(l) = -25*l**3 + 14*l**2 - 8*l - 18. Let s(m) = 12*k(m) + 11*y(m). Determine s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 >= -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692768477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**9\/302400 + t**5\/60 + 3*t**2. Let c(o) be the third derivative of w(o). Factor c(s).\nAnswer: -s**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32563644 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p + 12. Let i = p + 3. Let s = i + 6. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 1561740*u + 121951591380.\nAnswer: 5*(u - 156174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -63, -62?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 76 - 100. Calculate the least common multiple of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423962, -423975, -423988?\nAnswer: -424001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6996, -1, -2\/37, 0.2, -5 in descending order.\nAnswer: 0.2, -2\/37, -0.6996, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w - 300 = 0. Let k = 63 - w. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + 0*o + 2*o + 2*o - 2*o + (-3*o - 3*o + 5*o)*(-1 - 1 + 3) - 10*o + 1638 - 1638 - 1 + 1 + o)*(o + 3*o - 3*o)*(o - 4*o + 2*o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**4 - 94*p**3*z**2 - p**2*z - 7*p*z**2 + 13*z**2 wrt p?\nAnswer: 72*p - 564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 529 - 53. Calculate the highest common factor of 34 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2747081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20703, -41382, -62059, -82734?\nAnswer: -103407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2659020 divided by -53\nAnswer: -2659020\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 + 290. Suppose -q*l + 2144 = -13*l. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*d - 22, 5*r + 13 = -5*d + 3*d. Let z be d\/(4*(-4)\/(-32)). Let f = z - -51. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Let y = 11 - 2. Let p = t - y. Which is the nearest to -1\/4? (a) -0.5 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.179 - -89.179. Let x = 8.3 - 99.3. Let v = r + x. What is the third smallest value in -0.5, 1\/3, 2, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 8*f**2 + 18*f - 16. Let o be p(-10). Calculate the highest common factor of 628 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1621, 5156, 11045, 19288, 29885, 42836?\n\"Answer: 1177*x**2 + 4*x + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4682 + 550. What are the prime factors of r?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - 0.9. Let z = q - 2. What is the closest to z in 2\/15, -0.2, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 2\/9 (c) -1 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**2 + 6*c - 5. Let l be j(1). Are 21 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 38*o**3 - 223*o**2 - 186*o = 0. Calculate o.\nAnswer: -31, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -215 + 305 - 630*r - 66*r - 901 wrt r.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*(1 + sqrt(68)))**2 + sqrt(68))*-3.\nAnswer: -5160 - 306*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2115 and 79195.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/263 at most as big as -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14894*f + 7086*f - 29851*f.\nAnswer: -37659*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 23 = 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.05 + 2.16. Let s = 2.09 + l. Which is the closest to 2\/3? (a) 9 (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 10*u**2 - 10*u + 13. Let o be f(-11). What is the units digit of (-4)\/(o\/((-4)\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -h + 4, 2*p = -2*h + 19 - 7. Let a(x) be the second derivative of x**3\/3 - 6*x**2 + 2*x. Calculate the smallest common multiple of 4 and a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvveoevvvevvvvv. What is prob of picking 2 v and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j + 6. Let g(o) = -40*o + 13. Determine -6*g(l) + 13*t(l).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 8*b - 7*b to q*b + w and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 207 = 4*n + 221, 3*p - 4*n = 29. What is the lowest common multiple of 150 and p?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + y + 61 = 8 - 54, -k - 63 = 9*y + 5*y for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243523342.\nAnswer: 2, 3, 37, 10105961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 48. Let t(x) = x - 1. Let w be t(5). Let u be h*1*2\/w. Solve 0 = 3*s - u*s - 4*q - 8, 3*q - 1 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12729?\nAnswer: 3, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 838 + -591. Let j(v) = v. Let l be j(0). Suppose 0 = 5*g + q - t, -3*q + l*q - 9 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6424745.\nAnswer: 5, 733, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19033 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3)*(2 - 3). Suppose d*s = -s + 24. Suppose -2*f = 2*f - s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29650569 divided by -2031\nAnswer: 14599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 divided by 40.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 4*t - 13. Let b be l(8). Let d = b - 150. Let u(g) = g**3 + 5*g**2 + 3*g + 1. Give u(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 288 = u. Suppose 12 - 4 = -2*p, 2*j = p - 24. Let x be ((-112)\/j)\/((-1)\/(-2)). Calculate the greatest common divisor of u and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 3*n**5\/20 - 7*n**3\/6 + 2*n**2 - 10*n. Let x(y) be the first derivative of p(y). Find the first derivative of x(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 - 19 - 2454*h + 16 + 2452*h in the form u*h + y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 244727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 14*v + 5. Is 9 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -18 - 4) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r**3 - 9*r**2 + 113*r + 1. Let p(j) = 11*j**3 - 5*j**2 + 62*j + 1. Determine 3*d(f) - 5*p(f).\nAnswer: 8*f**3 - 2*f**2 + 29*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -679 - -817. Let q = 77 - 41. Calculate the remainder when j is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242900, 240189, 237478, 234767, 232056?\nAnswer: 229345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232223 + -1202321?\nAnswer: -2101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 5, 39, 123, 275, 513?\n\"Answer: 3*c**3 - 2*c**2 - 13*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2251*z**5\/5 + 28*z**2 - 15*z + 2201. Find the second derivative of w(f) wrt f.\nAnswer: -27012*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 94. Is l(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20111 (base 3) to base 8\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -55\/4. Sort 5, c, -0.1 in ascending order.\nAnswer: -0.1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256660 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - -1 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 8*g**2 + 13*g - 7. Let b be s(6). Let o be ((-9)\/(-15))\/(b\/(-5)). What is the third derivative of 3*v**3 - o*v**2 - 12*v**3 + 4*v - 4*v wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -1\/4 (b) 0 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 3}. What is prob of picking 1 p and 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1690293317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 23 - 22 = 0. Let h(p) = -p**3 + 20*p**2 - p + 33. Let j(u) = -u**2 + 13*u - 22. Let f be j(6). Let i be h(f). Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -179\/2? (a) 7 (b) -0.0324 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -19. Let y = -7653 - -7684. Solve -y = -5*p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259 + 261. Suppose 3*a + 24 = -3*p, 0 = -5*a - p - p - 37. Let y be (0\/z)\/(a\/7). Which is smaller: 6\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)\/(r\/(r\/(r*r**(-2\/9)))))\/(r**1)**50)\/((r**(-3)*r**(-1\/3))\/(r**1)**5) assuming r is positive.\nAnswer: r**(-380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 - 5a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -21, -36, -49, -60?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1789.998728 + 1790. Round x to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-116)*(-1)\/(-3)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 14*j + 603 = 3*f, -8*f + j + 16 - 60 = -9*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r + 3*b = 12, r + 2 = -5*b. Suppose -m - r = 5. Is ((-2008)\/(-16))\/((-4)\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 - 2*x + 18. Let r be n(10). Calculate the common denominator of (r\/(-45))\/((-8)\/6) and 86\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-70)\/(-504)*12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 1. Let p be a(-1). Let x(h) = -h**3 + h**2 + h + 3. Give x(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.012 + -2.012. Let n(d) = 3*d + 15. Let k be n(-5). Let v = -0.3 - 0.1. What is the nearest to k in v, -5, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -331?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) -103 (b) -0.02 (c) -6 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, n: 12}. What is prob of sequence jnjj?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 - 5*t**4 - 20*t**3 + 20*t**2.\nAnswer: 5*t**2*(t - 2)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7.089 - 60735\nAnswer: -60742.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61505057989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4 - 11*l**2\/2 + 7*l. What is the derivative of t(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6477 is divided by 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 8*v**2 - 9*v - 4. Let t be p(-7). Let z(b) = 29*b**2 - b - 1. What is the remainder when z(-1) is divided by (-50)\/4*(-8)\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydyyyeyynnydeeyn. Give prob of picking 1 e and 3 d.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/19878253?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/42 - (-16)\/154) + 135\/198.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/55 + (-1006)\/(-10) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6467, -12932, -19395, -25856?\nAnswer: -32315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + -0.4. Sort 2, 1\/3, t in descending order.\nAnswer: 2, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0485849653 to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-1))\/((-6)\/(-12)). Solve -4*r - 8 = -0*r + 4*b, -4*b + 24 = -d*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 169422521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 281*n + 62. Let d(x) = 141*x + 34. What is 11*d(k) - 6*f(k)?\nAnswer: -135*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/12 + -1\/12. Let c = -1 - -0.5. What is the second biggest value in t, -5, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 8. Suppose -30 = -5*q - 5*f, -q - 2*f + 15 = s*q. Suppose 4*w = 37 - q. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o - 69*o + 128 = 0. What is the remainder when o\/(-272) - 937\/(-17) is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.3, -0.1, -1\/9 in decreasing order.\nAnswer: 0.3, -0.1, -1\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1351*h**5 + 0*h**4 - 3*h**4 - 1408*h**5 + (2*h - 3*h - h)*(2*h**4 + 3 - 3).\nAnswer: -61*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, s: 2, x: 2, y: 4, g: 1, j: 2}. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 428367, 428385, 428447, 428577, 428799, 429137, 429615?\n\"Answer: 4*f**3 - 2*f**2 - 4*f + 428369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 61 = -p, 3*m + 2*p = -0*m + 43. Let c = -11 + m. What is the lowest common multiple of (-20)\/(-6) - 2\/6 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6480155248.\nAnswer: 2, 7, 57858529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -29*c**2 + 68*c - 1. Let d(a) = -73*a**2 + 136*a - 6. Calculate 2*d(g) - 5*t(g).\nAnswer: -g**2 - 68*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 35 - -34) + 17 + -65?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 63 (b) 1 (c) 42 (d) -267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.0421.\nAnswer: -0.2579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 + 175. Let v(g) be the second derivative of g**5\/20 - 13*g**4\/12 + 13*g**3\/6 + 2*g**2 + 2*g. What is the remainder when 43 is divided by v(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 11222222033?\nAnswer: -11222222134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 55*k + 119*k + 738 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1389, 2789, 4189, 5589, 6989?\n\"Answer: 1400*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82765516 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4\/409405 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 610423 = y, -276*i + 274*i - y + 610413 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -13 + 12 + 1 + -85 + 63?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Let l be 14*4*d\/(-16). Let t(z) = -l + 2 - z**2 + 2 + z**3 + 1 + 2*z. Determine t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 9. Let y be g(4). Let f(d) = -73*d + 13. List the prime factors of f(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15751 + 37212. Let m be 34\/221 + b\/13. Suppose 2*g = -15651 + m. What is g rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -0.07 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 6\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 84972, 7, -1, 0 in decreasing order.\nAnswer: 84972, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*45\/(-24)*(-143)\/(-715).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 70 = -3*z + 20, 0 = -2*y + 3*z - 195. Let r be (-8)\/14 + 5\/(y\/(-2406)). Suppose 0*m + r = 2*m. What is the highest common factor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwoqqwoqqeoieiqoeeeq. Give prob of sequence wqwq.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2241541 days to minutes.\nAnswer: 322.781904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 892, 7053, 23766, 56305, 109944?\nAnswer: 189957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.853 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*p + 18, -p = 29*d - 33*d - 14. Let u(i) = 176*i**2 + 16*i + 9. Is u(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1695818 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*s = 0, 3*v - 4*s - 15 = 1. Suppose 2*c = -v*b + 36, -2*c - 30 - 11 = -3*b. Suppose 8*i - b*i = -15. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -659, -660, -661, -662, -663, -664?\n\"Answer: -x - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 191658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 168 (c) -1 (d) -4 (e) 1\/11 (f) -1\/2 (g) 0.11158\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2104\/(-180) + 12 + 8\/(-18)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7623.776 millilitres to litres.\nAnswer: 7.623776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - -6 - (31 + -10 + -23 + -15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6*l = 0. Suppose l = 8*s - 7*s - 2. Which is the smallest value? (a) 2\/17 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 3}. Give prob of picking 1 f and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (14 + (0 + -14 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*n - 6*n - 10, 2*n = 2*s - 8. Sort s, 1, 2\/3 in ascending order.\nAnswer: s, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 21*s - 153 = -24*c, 3*c - 26 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/70 + 11*s**4\/8 + 28*s**2. Find the second derivative of l(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 139, -3, -3\/338?\nAnswer: -3\/338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -256c - -61b?\nAnswer: -1f51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a - 2*a)*(-20*a + 20*a - 3*a**2) - a**2 + a**2 - 2*a**3 + a**3 + 16*a**3 - 4*a**3 in the form t*a**2 + o*a**3 + u + q*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuhs when four letters picked without replacement from nhnhhsuhsu?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104.245 and 993.\nAnswer: 888.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*o + 2794*o**3 - 25109*o**2 - 9*o + 25100*o**2 wrt o.\nAnswer: 16764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102981732 divided by -2451946.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 529, 532, 537, 544?\n\"Answer: i**2 + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 164, 242, 322, 404, 488, 574?\n\"Answer: s**2 + 73*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-2*f + 2*f - f) + 3*f - 4*f + 3*f + 6*f - 2*f + 10 - 6*f to the form v*f + n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -11*p + 7*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73683989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -16.810044\nAnswer: 184.910484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30aa00 - -4?\nAnswer: 30aa04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 7*i = -10767654. Let c be ((-4)\/6)\/((-2)\/656406). Let q = i + c. What is q rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 36 = -3*h, -3*h - i + 12 = -4*h. Let q be ((-6)\/4)\/(9\/h). Suppose 7\/3*a**4 - 2\/3*a + a**q + 4*a**3 + 0 = 0. Calculate a.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-249)\/747)\/(133\/21).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 376357 - -248?\nAnswer: 376616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21404 is divided by 9285.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -2\/15 (c) 166 (d) -1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 230\/4)\/((-12)\/(-24)). Let q = 130 + u. Suppose 0 = -q*h + 16*h. Solve h = -4*n - 7 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/68157 and -70\/22719.\nAnswer: 68157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 - 69*l**2 + 51*l - 872. Calculate z(23).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210 = 82*r + 5*h, -38*r + h = -33*r - 79 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -1 + (-91)\/(-21) + -10)\/((-19)\/(-4047))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1250 and -19\/46250?\nAnswer: 46250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3\/7 - 1254*h**2\/7 + 23301*h\/7 - 105948\/7 = 0.\nAnswer: -436, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 512, 1018, 1502, 1952, 2356?\n\"Answer: -2*k**3 + k**2 + 517*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5257, 5596, 6167, 6970?\nAnswer: 8005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*x + 10, x + 41 = u + 43. What is the closest to -5\/18 in -3, u, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/11 - 2328*j**3\/11 - 6240*j**2 - 682400*j\/11 - 2268000\/11 = 0.\nAnswer: -1134, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/3 + 4*h**2 - 8*h - 5. Let p be g(6). Calculate the least common multiple of 28 and (154\/(-33))\/(p\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18465 is divided by 87.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/6 + 10*j. Let l(d) = 0*d**2 + 2*d**2 + 0*d**2. Calculate m(l(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18277612?\nAnswer: 2, 601, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**14\/(v*v*v\/(v\/((v*v\/(v*v**(4\/5)*v*v*v*v))\/v))))\/(v**(-3)*v)**(5\/18))**(2\/99) assuming v is positive.\nAnswer: v**(142\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -40, 169, 598, 1325?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 554*o**5 - o**3 - 52*o - 4 wrt o.\nAnswer: 11080*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z + 10 + z + 12*z - 5*z**2.\nAnswer: -5*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 5*b + 408. Let w = b - 405. Solve -2*u - 2*u = 0, 4*u = w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/12 + 8*k - 1. Let l(d) = -27*d**2. What is w(l(x))?\nAnswer: -729*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20205 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -1215*g**5 + 90585*g**4\/4 - 25654*g**3 - 3690*g**2 - 168*g - 2704. Let l(d) = 0. What is d?\nAnswer: -2\/45, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2055900 bigger than -2055899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) - (sqrt(18)*-4 + sqrt(2) - sqrt(2))))*1)**2 + 2 + (-2*sqrt(72)*5 + sqrt(72)*-2*2)**2.\nAnswer: 14402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 9*z + 2*z + 3*z to q*z + h and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 280899940*c**3*m + 515*c**2 - 3*c - 13915*m wrt c?\nAnswer: 1685399640*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1869376 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 2952\nAnswer: -13\/2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.3 (c) -5 (d) 1\/7 (e) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111113791 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gog when three letters picked without replacement from gogozgogogg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158626 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 101.8. Let a = -1057.41 - -1043. Let w = d - a. Round w to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022 - -10021222201001?\nAnswer: 10021222222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 11*q**2 - 19*q - 20. Let p be s(-12). Suppose 70 - p = 2*m. Solve m*d = -b + 18, 2*d - 6*b + b = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 12*o + 13. Let u be z(-11). Find the third derivative of -15*y**u + 44*y**4 + 19*y**2 + 16*y**2 + 13*y**2 wrt y.\nAnswer: 1056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + 11. Suppose -n + 2*h = h - 8, 4*n + 3*h - 67 = 0. Calculate the remainder when v is divided by ((-54)\/18)\/((-1)\/n).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*t**2 - 206*t**3 + 209*t**3 - 4*t**2 in the form g*t + m + y*t**2 + q*t**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*i + 61, i + 4*i = -3*b - 57. Let o be (i\/3 - -3)\/(-1). Suppose 2*h + o*h = 382. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 43105776?\nAnswer: 129317328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 - r**2 + 1. Let y be k(1). Let p be 4 + y + -3 + 6. Suppose 0 = p*i - 20 + 2. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -862.\nAnswer: 1\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/2*((-10)\/12)\/(1722\/(-492))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s**(-1\/3))**(-12))**(-18) assuming s is positive.\nAnswer: s**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3*s + 3\/5*s**5 + 0*s**2 - 1 + 0*s**4 + 0*s**3. Differentiate h(n) wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3 - 6 - 2*v + 0 + 3 + 8*v**2. Is 24 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -2457?\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28655 is divided by 597.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*r - 3*r = 226, 218 = 4*a + r. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56, 55, 54?\n\"Answer: -s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.209 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + x + x)*(0*x**2 + 3*x**2 - 5*x**2) + 1 - 2060307*x**3 - 1 + 2070241*x**3)*(3 - 6 + 4).\nAnswer: 9930*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 50 - 5*j + 10*j)*(-j + 2*j + j).\nAnswer: 10*j**2 + 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 4. Let a(z) = -z. Determine -3*a(y) + d(y).\nAnswer: -3*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 11, 33, 71, 131, 219, 341?\n\"Answer: p**3 - p**2 + 8*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20)\/((-9)\/(-45)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**4 + 1815*q**3 + 147000*q**2 + 141580*q - 290400 = 0.\nAnswer: -242, -120, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = -11*a + 504 - 64 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 365.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/2)*b)**(-15)\/((b**(1\/5)*b)\/b**8))\/((b*b**8*b**(-2))\/(b\/b**0)**(-3\/2)) assuming b is positive.\nAnswer: b**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -410*r**2. Let l(g) = 2*g. Determine l(b(y)).\nAnswer: -820*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 + 2 + -1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 23. Let p be g(-6). Let r(u) = 1. Let c(l) = l - 1. Let f(b) = -2*c(b) - 2*r(b). Give f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 a factor of 898303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 10*x**2 - 7*x - 12. Let h be n(9). Let w(q) = 9*q - 28. Let o(g) = -5*g + 15. Let i(m) = h*w(m) + 11*o(m). Determine i(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 2110, 7005, 16552, 32305, 55818, 88645?\nAnswer: 132340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 1. Let x be v(5). Let u = x + -17. Let d(y) = -y**2 - 7*y + 1. Calculate the remainder when d(-4) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1125 + -1?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 6*i**2 + 6*i - 6. Let b(a) = -a**3 - 12*a**2 - 13*a + 13. Calculate 6*b(x) + 13*z(x).\nAnswer: 7*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 558439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21440 is divided by 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {n: 1, q: 2, o: 4, z: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1006 + 1001. Which is the nearest to -4? (a) 3 (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3874560 divided by 1.\nAnswer: -3874560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 7. Let q(m) = -5. Let t(l) = 1. Let k(b) = -q(b) - 4*t(b). Let z be ((-70)\/11)\/2 - (-4)\/22. Determine z*x(c) - 21*k(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -671446 (base 14) in base 13?\nAnswer: -956aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 666?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/1497693 and -15\/52918486.\nAnswer: 158755458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 29*l + 5. Calculate i(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - g - 32 = 0, -j - 5*g = j - 56. What is the smallest common multiple of 9 + (-2 - 9) - -7 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37469\/6 + -6266. Let x be 120*(-18)\/63*21\/(-6). What is the common denominator of q and (730\/x + -6)\/((-9)\/(-178))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 2*p - 1. Let a be n(-1). Suppose -2*c + a*c = 4. Is 19\/(2*c\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 8. Let f be n(-10). Suppose 0 = -47*s + f*s. Solve 0*a + 3*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401290730 divided by 2230\nAnswer: 179951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -547, -684, -835, -1006, -1203, -1432, -1699?\n\"Answer: -y**3 - y**2 - 127*y - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/96)\/((-5)\/22). Is 15 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-5*3)\/3 + (44 - 15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151432 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223153 (base 6) in base 11?\nAnswer: 13197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 - 2*l + 1. Give w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210.99999751 - -211. What is s rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 22*u**2 - 27*u + 143. What is v(10)?\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4 - 1. Suppose 451*j - 9 = 5*y + 450*j, -2*j + 8 = 0. Which is the closest to -1\/5? (a) -2\/7 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*p = 42, 0 = -541*n + 540*n + 3*p - 88 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3361 + 6355. Is 6 a factor of 6\/(-8) - (-2 - c\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*55*(-2)\/25*-5. Differentiate -11*p**3 - 12 + 1 + 7 - t with respect to p.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4321 by -484.\nAnswer: -4321\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 173, 162, 147, 128, 105?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -51 + 35 + -28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 231*i - 11188. Let f be p(-71). Suppose 6*q - 860 = q. Do q and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6563732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57871240 by -29.\nAnswer: -1995560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 + 0.45.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*(176\/(-12) - -8). Calculate the greatest common divisor of i and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (3 - 66\/14))*-105. What is the highest common divisor of 160 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 2. Suppose -4*j = -17 - 19. Let y be i(j). Let r = y - 6. Solve -3*p = -r*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-130)\/4)\/((-102)\/24828) - 4\/(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5885 - 3214. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/360 + 7*u**5\/120 + u**4\/12 + u**3\/2 + 2*u. Let i(q) be the second derivative of a(q). List the prime factors of i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 96 = -36. Let p(t) = -2*t**2 + t - 4. Let m(q) = -1. Calculate s*m(y) + p(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-38)\/5)\/((-16)\/(-10) + -2). Differentiate 4*n + 20*n - i + 7*n - 6*n with respect to n.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 - -229. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*4.347.\nAnswer: 139.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2202525 by -1755.\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*q + 2210 = 7540. Let y = -327 - -184. Let c = q - y. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2)\/(1\/5). What is the second derivative of -5*i - 50*i**3 + 50*i**3 - 10*i**4 - h*i wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6390 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - -4. Let a = m - 30. Solve a + 1 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times -5.3?\nAnswer: 121.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 - t - 1. Let i = 2 + -3. Let v(j) = 6*j**2 - 3*j**2 - 2*j**2 + 1. Let k(m) = i*y(m) - v(m). Find the second derivative of k(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/26))**(14\/5)*(g*g**(-2\/7)*g*g*g)\/(g*g**8*g) assuming g is positive.\nAnswer: g**(-2811\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose l*o - 38 = 34. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*8\/16*-2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -311cc18 - -7?\nAnswer: -311cc11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -3) + (-372)\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 82?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 112*o**2 - 428*o - 456. What is s(108)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1559 divided by -2.\nAnswer: 1559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1206 - -1208. Suppose -4*s = -12, c + 3 = -2*c + s. Let c + 0*r**d - 4\/5*r**3 + 0*r = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1038.339 months to centuries.\nAnswer: 0.8652825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n - 7 = 0. Let r = n + -7. Let i = -0.029 - -0.129. Which is the second biggest value? (a) r (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7. Let o(y) = 13. Let g = -41 + 35. Let n(b) = g*o(b) - 11*h(b). Let u(w) = 2 - 4 + 1 - 1 - 3*w. What is -4*n(k) + u(k)?\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/69 in 3, -1.1, 4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*m + 25 = -p, 0 = -p + 3*m + 15. Suppose f - 2 = -3*z + 1, p = -z - 2*f + 6. Solve 3*i = -z*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 - 2*k**4 + 3 - 2 - 1 + k**3 + 2*k**2 to the form b*k**3 + f + a*k + r*k**2 + g*k**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1585613623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 15) to base 8\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllzzlllllzlllzllz. Give prob of picking 1 l and 1 z.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*l - 26 + 20, l - 42 = -4*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 10*t**2 - 2*t + 12. Let h be i(10). Let a = -7 - h. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 - 6*j. What is x(-4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 14 = 36*l, 20 = 5*s + 5*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -1.2. Let u = j - -0.5. Let w = u + -4. What is the closest to w in 4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1390*v**2 + 0 + 687*v + 0.\nAnswer: 1390*v**2 + 687*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 - 191. What is the second biggest value in 5, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = -2*c. Suppose -p + 10 = c*r, p + 3*r + 5 = 2*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 940 + 18?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -134. Suppose 4*i + 8*i = y. Let x(p) = p**2 - 2*p + 2. Let j be x(2). Solve -r + j*r + i = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 245, 566, 1017, 1598?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 6*l**2 + 3*l - 8. Let o be w(-5). Let f = 197\/268 + 1\/67. Which is the third biggest value? (a) f (b) 0 (c) o (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1086\/927625*-82*5\/(-3)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225289 + 225289 - 7*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.77 - -24. Let o = 14 - 11.76. Let d = o - k. Round d to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/4)\/(199 - 192))\/(-7)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-6)\/18 - (1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 = -4. Suppose -j - 3*p = 11, 7*j - 79 = 12*j + 3*p. Let d be (-36)\/(-9) - (-2 + 2). What is the biggest value in -1\/7, y, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (10 - 9) + 4 + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ba54 (base 14) to base 9.\nAnswer: -244251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*d - 4*d - 2*d**3 + 7 - 4*d**4 - 3*d**2 + 39*d + 3*d**3 to x*d**4 + r + c*d**3 + y*d**2 + z*d and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/45*(-2)\/4. What is the smallest value in -3, q, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 l when four letters picked without replacement from {l: 4, t: 3, e: 5, c: 7}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6*s - 19. Let u be (-4)\/26 + 9\/((-234)\/(-524)). Let w be r(u). Calculate the common denominator of 25\/34 and w\/(-66) - 1*(2 - 3).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 1443896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 166037.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - y - 173 = 0, -5*b + 4*y = -140 - 27. Suppose 9*v = b + 118. Calculate the remainder when 67 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34153 - 3?\nAnswer: -34200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 2120004?\nAnswer: 23320044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 13*j - 1. Let i(x) = x**2 - 4*x. Let u(v) = -7*i(v) + 2*m(v). Let r be 12\/3 + -3 - (1 - 2). Give u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*z**5 - 105529*z**2 + 216*z + 105529*z**2 - 2*z**4 wrt z.\nAnswer: 700*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, d: 1, v: 1, a: 1, k: 2}. Give prob of picking 1 v and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -63. Let f be (1 + 1 + -1)\/4. Which is the nearest to f? (a) 3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54, 192.\nAnswer: -54, 4, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**5 + 249791*l**3*n**3 - 9*l*n**3 - l*n**2 + 286*l - 4*n**3 - 2 wrt l.\nAnswer: 60*l**3 + 1498746*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -15. Suppose 2*g - 4 = x. Let u(r) = -3*r + 9. Let t be u(-5). Calculate the highest common divisor of g and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88019 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 2*s + 4. Suppose -w - 4*u = 0, -w - u = 2*u. Calculate d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10228\/3 - -3562. Which is bigger: x or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 58 - 41 + 2*k)*(25*k**2 - 12*k**2 + 6*k**2)*((3 - 2 + 0)*(3*k + 4*k - 5*k) - k + 0*k + 0*k).\nAnswer: 38*k**4 - 285*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 446386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f**2 - 33*f - 507. What is the smallest common multiple of 4 and z(-16)?\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-27) - (-104)\/18. Let t = n - 3. Calculate the lowest common multiple of t and (-16)\/20*(-5)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 14*o - 1. Let r be c(18). Let q = r - 70. Which is bigger: q or -2\/19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2b73?\nAnswer: 2b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (756\/(-48))\/(-21)*56\/(-357)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o = 43*o - 0 - 90 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -138 in -2\/5, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2003342\/23 at least as big as -87101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355141699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 - 5 = -2*k, -5*w + 70 = 5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 12. Let b be n(-18). What are the prime factors of (2 - 8\/6)*b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 3, p: 1, f: 5, y: 3, h: 1}. What is prob of sequence ph?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(63\/70000))\/(-1*(-3)\/(-23307)). Round h to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18b50 (base 12) to base 4.\nAnswer: -20311230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002583124 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 854, 858, 862?\n\"Answer: 4*i + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4\/9 + 1612*a**3\/9 - 18312*a**2 + 483200*a\/9 - 320000\/9 = 0.\nAnswer: 1, 2, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-167*a + 44*a - 96*a)*(18*a**3 + 6*a**3 + 2*a**3) to the form h*a + v*a**3 + c + t*a**4 + k*a**2 and give t.\nAnswer: -5694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7588 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:51 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*r = 3*q + 995*r + 31, -3*r = -2*q - 2*r - 19 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2832590 and -13\/4720.\nAnswer: 22660720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1570882875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 - 7980*r**2 = 0. What is r?\nAnswer: 0, 1995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3732259 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 117 = -0*r + 16*r, -r = 3*u. Let n(o) = -o**3 + 21. Let v be n(0). Solve 6 - v = -u*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - (-69)\/(-9). Let o = 11 + d. Find the second derivative of 3*y**o - y - 2*y**4 - 3*y + 0*y**4 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4116 (base 11) in base 5?\nAnswer: -133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 303518287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28664 - 28042. What is the least common multiple of j and 64?\nAnswer: 19904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 47 + (-3*(-10)\/6 - 7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 5*y**8\/336 - 2*y**7\/105 - 41*y**5\/60 - 35*y**2. Find the third derivative of g(s) wrt s.\nAnswer: 300*s**2 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110111?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 6 - 4 = -r, -4*x - 2*r - 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61783*j**3 - 2*j**2 + 564*j + 81509571 with respect to j.\nAnswer: -185349*j**2 - 4*j + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367584, 367538, 367468, 367380, 367280?\nAnswer: 367174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 + 133. Let d(w) = -35*w**2 - 43*w**2 + b*w + 76*w**2. Suppose 80 = n + 4*n. Let y(x) = 6*x**2 - 16*x. What is n*d(q) + 5*y(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -5\/6, 0, 3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168511523.\nAnswer: 3019, 55817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-2\/29))**41\/((m**(-2\/3)*m*m)**4\/((m\/((m\/((m\/(m\/(m\/m**(-5))))\/m*m))\/m*m))\/(m\/(m\/(m\/(m**(-2\/7)\/m)))))) assuming m is positive.\nAnswer: m**(2458\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:14 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -21*r**2 - 913*r + 20. Calculate b(-43).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 350*l + 5668. Let z be c(34). What is the highest common divisor of 61 and z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**6\/30 - 4*y**2 - 4*y + 5. Let l(c) be the first derivative of w(c). What is the first derivative of l(t) wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 597 + -242. Suppose -5*s = 10 - z. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 1, -3*f + 4*n + 34 = -0*f. Let m = -3 + f. Let v = m + -4. Solve v*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 1:33 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*6\/10*-5 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12617, 2, -0.5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/20 - 3*s**4\/2 + s**3\/6 - 21*s**2\/2 - 44*s + 2. Give b(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-9))\/(3\/81). Let g = q + -28. Let t = -16 - g. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3931*k**5\/5 - 297*k**2\/2 + 4177. Find the second derivative of l(r) wrt r.\nAnswer: -47172*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, h: 6, m: 5}. What is prob of picking 1 m and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from {g: 2, s: 1, t: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12*0 + 5. Suppose -65 = -q*g + 10. Let k = 27 - g. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*t**2 - 178*t**2 - 217*t**2 - 204*t**2 - 3 + 2 + 760*t**2.\nAnswer: -56*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -710, -751, -812, -899, -1018, -1175, -1376?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 9*b = c - 10, -4 = 4*b + 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991860\/180 - (2\/10)\/((-12)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let g(s) = 187*s - 2220 + 2544*s + 2221. Determine g(a(t)).\nAnswer: -2731*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548 (base 14) to base 7.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 186473342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 73*p**3 - 2*p**2 + 2*p - 1. Is j(1) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(3\/4)*u)\/u)\/(u\/((u*u*u**(-2\/3)*u)\/u)*u))\/(u\/(u**0\/u)*(u*u*u\/u**(2\/7))\/u))**(-7\/3))**(-1\/20) assuming u is positive.\nAnswer: u**(-61\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 0*j)*(-6*j + 3*j + 0*j)*(-2*j**2 + 5*j**2 - 4*j**2) + (5*j - j - 3*j)*(3*j**3 + 3*j**3 - 2*j**3).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*i - 7, -4*p = -18 + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {r: 1, e: 1, s: 1, g: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3)\/((-132)\/388)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 55 = -4*l, -2*l + 0*l + 33 = 3*p. Let s = 1837 + -1818. Let k = s - p. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1) - (-154)\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 87. Let d(u) = -u**2 - 15*u - 48. Let n be d(i). What is the remainder when n\/(-8) + (-2295)\/(-12) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.2. Let s be (1\/2 - 1)*(56 - 54). What is the closest to s in 1, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2565466?\nAnswer: 2565461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/16*-2 - (-62127485)\/140. What is x rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*200679.7\nAnswer: 4013.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -14. Suppose 157 = 4*b - 3*y, -5*b + 205 = -0*b + u*y. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-6))\/(-2*6\/(-32)). Solve -v + 1 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28 and 34213613120.\nAnswer: 34213613148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -1\/27*l**4 - 1\/135*l**6 + 0 + 1\/945*l**7 + l**2 + 0*l + 1\/45*l**5 + 1\/27*l**3. Determine i so that k(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 0*r - 28 + 9*r + 13. Is 12 a factor of o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/20 + 297\/(-15). Let m be 2\/3*(-30)\/f. Let l be 8\/12 - 0 - m. Sort -0.1, 3, l in decreasing order.\nAnswer: 3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*-2*sqrt(168))\/sqrt(8))\/((sqrt(252) - 2*sqrt(252))*1))**2.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31, 44, 83, 166, 311, 536, 859, 1298?\n\"Answer: 3*d**3 - 5*d**2 + 7*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -480 - -445543?\nAnswer: 445053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 28 = -3*s + p, 0 = s - 3*p + 16. List the prime factors of 22 - (2 + (-8 - s)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8488042039 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7692 divide 1224736280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + (-35 - -26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 9*f**4\/4 + 13*f**3 + 3*f**2 - 24*f - 111. What is w in r(w) = 0?\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6863985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -4, -47787, 69.\nAnswer: -47787, -34, -4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7712.1672 to the nearest 10.\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*r**2 - 13*r**2 - 18*r**2 + 3*r**2 + 0*r**2 + 6*r**2 + (-4 + 0 + 2)*(0 + 0 + r**2) as v + x*r**2 + d*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156200 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 9. Let u(j) = 3*j + 18. Let a(r) = -3*u(r) + 5*z(r). Let o be a(11). Suppose -k + 4*p = -38, 3*k = o*k - p + 18. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 1\/6*w**3 + 0 - 1\/30*w**5 - 1\/18*w**4 - 1\/126*w**7 - 1\/6*w**2 + 1\/30*w**6 + 2*w. Suppose l(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cuccccucccuc?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*s**2*x**2 - 4*s**2 - 2*s - 87*x**2 - 2*x wrt s?\nAnswer: 42*s*x**2 - 8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 2*h + 1. Let p be y(-1). Let v = -11657\/5 - -2333. Find x, given that -3\/5*x**p - 7\/5*x**2 + v*x**3 + 0 + 2\/5*x = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 19238352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 2*p**3 + 5*p**2)*(0*p + 4*p - p + 5).\nAnswer: 6*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l + 4. Let r = 0 - 0. Let h be g(r). Suppose 8*w - 64 = h*w. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {i: 2, a: 1, t: 2, q: 2, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -38 - (-6 + 10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(14\/32)*-3. Let z be 6 + -7 + 3 + -1 - m. Let f = 55 - z. Let i(h) = -h**3 + 6*h**2 - 2*h + 2. Calculate i(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 + 3*m + 107. What is r(0)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*d = -7*d - 80, d - 40 = -3*w. Let y be w\/42 + (-1)\/3 + 0. Suppose 3*b + z - 178 = y, 3*b - 2*b + 2*z = 51. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -68\/820069 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 - 50 + 28*i**3 + i - 23*i**3 + i**4 + 8*i**2 - 51 to q*i**3 + w*i**2 + o*i**4 + k + f*i and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 16) in base 13?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 58716?\nAnswer: 1\/14679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 80*l**2 - 324*l + 360.\nAnswer: -4*(l - 15)*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -16. Let m be ((27\/i)\/3)\/(1\/2). Is m - (-16 - (-4 + 0)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 0.2, -2, 0.1 in ascending order.\nAnswer: -2, 0.1, 0.2, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 31 = -2*q - 36, 0 = 4*q + 20. Let s be (-5)\/(7*(-1)\/(-2)). Sort -1, s, a.\nAnswer: s, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/42 - (1 - 0). Let p = 2\/35 - a. Is 1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let d = 0.17 + -0.17. Is t at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 5*z**3 + 7 + 0*z**2 - z**2 + 4*z**3. Let d be v(0). Factor -89*i**2 + 85*i**2 + 7*i - 6*i + d*i.\nAnswer: -4*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*s + 214 = 0, 0 - 5 = -s. What is the highest common divisor of v and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 5*z**2 - 5*z - 2. Let n be x(-4). Suppose 2*s - 4 = -0. Suppose 3*y = -5*k + 11, -4 = 2*k + 3*y + y. Solve k*c = -s - n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73098, 73118, 73152, 73206, 73286, 73398, 73548, 73742?\n\"Answer: x**3 + x**2 + 10*x + 73086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12650, 12652, 12654, 12656?\nAnswer: 12658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and 0.0844.\nAnswer: -0.6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -4. Let a be (-3)\/n + 200\/(-56). What is the units digit of (-16 + 13)\/(6\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7134047 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 4*d**2 - 3*d + 8. Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131425, 131419, 131403, 131371, 131317?\n\"Answer: -l**3 + l**2 - 2*l + 131427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336 - 171 - 165 + 96*v)*(-3 + 4 - 4)*(3*v - 2*v + 3*v).\nAnswer: -1152*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3852 is divided by 228?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 84*q**3 + 496*q**2 - 624*q.\nAnswer: -4*q*(q - 3)*(q - 2)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 + -2. Let k = -0.21 + 0.19. Let n = 0.38 - k. What is the second smallest value in -0.1, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*q + 2*a**3 + 46193*a**2*q - a**2 - 2147*a*q + 42*a - 2*q + 2 wrt a?\nAnswer: -6*a*q + 12*a + 92386*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 536433139, 536433138, 536433137, 536433136, 536433135?\n\"Answer: -z + 536433140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336 + 563. Suppose 2*s + 104 = 5*y, 5*s = -2*y - g + 25. Let m = -5 - s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6592 rounded to one dp?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.21 or 43\/32?\nAnswer: 43\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 - -1295. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001100100001111010 (base 2) to base 15.\nAnswer: 484e2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - 2*l + 4*l - l - l - 3*l + (-2*l - l + l)*(0 - 2 + 3).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28)\/35)\/(2*(-4)\/62980)?\nAnswer: 2, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c**3 - 18*c**2 - 6. Let x(j) = 18*j - j**3 - 18*j + 1. Let i(h) = n(h) + 6*x(h). What is the third derivative of i(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 1, a: 1, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b. Let f(o) be the third derivative of -o**4\/12 + 3*o**2. What is f(j(z))?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -3*i + 2*i + 6, -z - 745*i = -1014*i + 1614 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 2, r: 1, a: 4, f: 4, y: 4}. What is prob of sequence oo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2 = -5*b + 3*b, -5*b = 4*s - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {t: 6, y: 3, b: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/12770 and 46\/3831.\nAnswer: 38310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = 3*g, -g - 13*i + 8*i + 12 = 0. Determine d, given that g*d - 1\/2 - 3*d**2 + 2*d**3 - 1\/2*d**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58499068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6260 divided by 1628\nAnswer: -1565\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*w + 5 + 212*w - 7 + 3 - 82*w.\nAnswer: 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23740 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 6*i**2 - 13*i**2 - 15*i**2.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*m**2 - m - m + 3*m**2 + 0*m**2 + 74 wrt m?\nAnswer: 24*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g - 17. Let z be s(-7). Let f be (319\/44 - 7) + 17\/z. Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -46?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12454480421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 751*g - 22*g**3 + 28*g**3 - g**2 + 420*g - 712*g in the form j*g**3 + p*g**2 + r*g + o and give r.\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*288\/(-11340)*(-6)\/8.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175157, 175055, 174953, 174851?\nAnswer: 174749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*x**2 + x + 30 - 13*x**2 - 30 as p*x + w + c*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*t - 22, 4*u + 5 = 13. Let i = 4 - -2. Suppose -2*g - 15 = -p, -p - g - i = -21. Solve -t*c = -c - p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2*q**3\/3 + 3*q**2\/2 + 4*q + 6487. Let z(g) = -g**2 - 3*g - 3. What is -2*c(v) - 3*z(v)?\nAnswer: -v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Calculate the lowest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 2*o**2 + 2*o + 1. Let h be b(0). Which is greater: 1\/219 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -2\/21 (b) -1 (c) -0.3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f + 4. Let a be t(-4). Let w = a + -19. Suppose -g + n + 275 = w, 0 = 3*n - 3. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388163178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12cf - 10?\nAnswer: -12df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*r - 2, 0*r + 8 = 4*i + 2*r. What is the greatest common divisor of i and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165831 and 159.\nAnswer: 8789043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 289 = 49 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 12:53 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 1386?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 8*b + 40. Let q = b - -15. Suppose -5*c + y = -4*y - 25, 5*y = -q*c - 5. Solve 8 = -2*r + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4266 is divided by 2090?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Let c(i) be the first derivative of -m - 1\/9*i**3 + 0*i + 0*i**2. Suppose c(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30527043, 61054092, 91581141, 122108190?\nAnswer: 152635239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2944769*z**2 - 11*z + 122002079.\nAnswer: 5889538*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2943 - -0.3943. What is the nearest to 3 in i, 5, 40, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/1 - (-41)\/(-6) and (291\/45 - 6)*(-10)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65715 divided by 5\nAnswer: -13143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Let s(w) = 3*w. Let u be s(m). Let h(j) = j**3 - 2*j**2 + 3*j + 4. What is the remainder when 43 is divided by h(u)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109323407 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -135021 (base 7) in base 5?\nAnswer: -1310430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -1. Let k(r) = 3*r. Let u be k(-1). Let s = -0.1 - -4.1. Put u, s, p in increasing order.\nAnswer: u, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 - -3.45. Let d = w + 0.05. Sort 3, -0.3, d in increasing order.\nAnswer: -0.3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 32, 63 in decreasing order.\nAnswer: 63, 32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -45*b**2 + 776*b - 10. Let q(h) = -9*h**2 + 155*h - 2. What is 31*q(f) - 6*u(f)?\nAnswer: -9*f**2 + 149*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncla when four letters picked without replacement from catoatnl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 420 = 480 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 7*g - 173. Let l be j(-11). Solve -11 + l = -14*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 4*a**2 - 7*a + 5. Suppose -3*m - 81 = -2*c, 5*c = 5*m + 10 + 185. Let f be -4*(-3)\/c*6. Does 14 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c + 8. Let r(a) = -5*a + 7. Let k be r(c). What is the smallest common multiple of 9 and (4\/(-8))\/(1\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85169 - -255509\/3. Determine d so that d - y - 1\/3*d**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130403 and -0.5.\nAnswer: -65201.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 367 * 90490.\nAnswer: 33209830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb6 (base 14) to base 4.\nAnswer: -213100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 13. Let b(w) = -w**3 - w**2 - 1. Let m(z) = -14*z**3 - 12*z**2 - 2*z - 12. Determine n*b(g) + m(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0478 (b) -0.02 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256488641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -47646 (base 8) to base 15\nAnswer: -6095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8, 0 = -3*k + 3*p - 5*p + 59. Suppose -3*j + k = -2*j. Let z = j - 11. Solve 5*g = -14 - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(5*k**2 - 5*k**2 + k**2)*(3*k**2 - 8*k**2 - 2*k**2).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-20)\/170) + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujijjjjjjjrj. Give prob of sequence iurj.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 738*w**2\/5 - 4512*w\/5 - 6048\/5.\nAnswer: 3*(w - 252)*(w + 2)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29741, -118834, -267271, -475052, -742177, -1068646?\nAnswer: -1454459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 370*q**2 + 14626*q - 136. Determine v(-45).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:08 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075 a factor of 297245782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 277 and 291797.\nAnswer: 80827769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -5*l**6\/24 - 8*l**5\/15 - 3245*l**4\/24 + 3984*l**2. Find the second derivative of p(x) wrt x.\nAnswer: -150*x - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -33 + (8 - (5 + 2)). Let g(j) = 9*j + 288. Let u be g(l). Solve u = b - 7 + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004505226402 to five dps.\nAnswer: 0.00451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1728207 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51234543.\nAnswer: 3, 41, 43, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*g + 4 + 39*g + 37*g to the form r + n*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233865 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25189476 divided by -6297369\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 4. Let o be r(2). Let f = -48 - -62. Let x(d) = -d**3 + 15*d**2 - 12*d - 13. Let i be x(f). Solve 0 = v + 2*p + 1, -2*p = -3*v - o + i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.6312l to millilitres.\nAnswer: 118631.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:43 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -273? (a) 1 (b) -3 (c) 0.2 (d) 2 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679234504 is divided by 1726.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l + 469 + 14*l - 27 + 220 as z + m*l and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88.41 + -88. Let y = 9.59 + o. Let s = -10.0066 + y. Round s to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**0*s\/s**2*s**(-2\/15)*s**1 assuming s is positive.\nAnswer: s**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70517 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 3 + (2 - 7). Suppose -3*z + 74 = -2*s, 4*z - 67 = -5*s + 24. Let v be 33\/9 - g\/z. Solve 4*q - 13 = -i, -q - 1 = v*i + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:39 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375575742?\nAnswer: 2, 61, 919, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1273?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012682 is divided by 256.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 18*i + 6. Let h be ((-10)\/30)\/(-1 + 19\/18). Let r be n(h). What is the highest common factor of 42 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 + 165. What is the second derivative of -4*c**d - 4*c - 6*c**3 + 10 + 11*c - 12 + 2*c**2 wrt c?\nAnswer: -36*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*t + 5*p, t + 3*p = -10. Let c(q) be the third derivative of 1\/2*q**3 + 5\/24*q**4 + q**t + 0*q + 0. What is c(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c53201 (base 15) to base 7\nAnswer: -142460602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 21. Suppose 3*q = 2*y - 12, -q - g*q - 5*y + 7 = 0. Sort -1, 0, q.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4166489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 1378773 - 339233 = 299316. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let s(i) = 238*i**2 + 13 - 9 - 4. Calculate b(s(n)).\nAnswer: -56644*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-231)*93\/15624*-42.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 121*w + 496. Let p be v(-4). What is the highest common divisor of p and 11244?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5906*a - 47739*a - 21604*a.\nAnswer: -63437*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 127291661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9028 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45320 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -780, -1159, -1520, -1857, -2164, -2435?\nAnswer: -2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + p**3 + 32*p**4 - 6*p - 630 + 629 to the form j + m*p + k*p**4 + v*p**2 + h*p**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76967 less than -0.150547?\nAnswer: 0.619123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*-4 - sqrt(2240) - sqrt(35))\/sqrt(5) + 4 - (sqrt(112) - (sqrt(112) + (4 + sqrt(112) + 4 - sqrt(112))**2))*-5.\nAnswer: -316 - 41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 842011.4l in millilitres?\nAnswer: 842011400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16683 + 60*g + 16677 - 33356 to r*g + o and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6eda8 + 5?\nAnswer: 6edad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 + 20*s**2 - 19*s + 113. Determine u(6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**2*f**3 - 195249*c**2*f + 50*c**2 - 19903 wrt f.\nAnswer: -24*c**2*f**2 - 195249*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -262 * -0.31236\nAnswer: 81.83832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 4\/3*t**3 - 2*t + 1\/4*t**4 + 1 + 3\/2*t**2. Calculate b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 + (7 - 6) + 1084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 98*a**5 + 1120*a**4 + 1296*a**3 - 1024*a**2 + 160*a = 0.\nAnswer: -10, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1\/2 (c) -2\/9 (d) -130 (e) 78 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose 0 = 2*c + 4 - m. Let a be (1 - -1 - 2)*c. Does a = 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 + 8*h. What is g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.071 - -2.471. Let s = -12 + 12.1. Sort 4, h, s in increasing order.\nAnswer: s, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11\/(198\/288).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -209, -6\/7, -1\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/579 and 17\/772.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2327 - -2372. Suppose -5*v + 7 = -a, -v + 11 = 3*a - 16. What is the remainder when o is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.2, 1.88, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/2)\/(5\/(-25)). Let v = 8 - s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*s - 46 = -131, 3*c + s = 207. Let w(h) = -5*h - 4*h - c + 70. Let k(x) = 2*x**2. Give k(w(z)).\nAnswer: 162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-1))\/(-10 + 11). Suppose -w - 40 = -z*w + 4*o, -5*w - 4*o = -14. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/8303 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**3 + 7*p**2 - 4*p + 7. Let j be q(-6). Find the common denominator of j\/(-300) - (-2)\/6 and ((-1065)\/(-36))\/(-5) - -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 2 + (-34 + 36 - -24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 t when three letters picked without replacement from {i: 1, t: 2, x: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 6*f - 2. Let r(g) = 2*g + 12. Let q be r(-4). Let z be l(q). Find the common denominator of 131\/6 - z\/9*-3 and -85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9075788 + 9075788 - 10*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*r - 2*r - 8, 3*q + 17 = -4*r. Let j(p) = -p**3 - 6*p**2 + 7*p + 8. Let f be j(q). Solve g = 4*g - 4*i - 4, -3*i + f = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 26, 4.5, 0.2, 1, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4 - 2 + 2 + 3*a + 2*a**2. Suppose 3*y - y - 6 = 0. Suppose 6*c - c = 25, -y*s - 5*c = -34. Determine p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -26, -58, -128, -248, -430?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25371758 divided by -5419.\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -220, -355, -490, -625, -760, -895?\n\"Answer: -135*z - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1552 < 54\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.166028 days to nanoseconds.\nAnswer: 532744819200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27094 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -200. Let f = i - -1056. Is f 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 mggggdmdggdg. Give prob of sequence mm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 150. Let t be -9 + 10 - 1\/(w\/(-2)). Suppose 132 = t*q - 12. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 284 or 1967?\nAnswer: 1967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 4. Let v be t(4). Let k(r) = 3*r - 11. Let y(w) = -w + 11. Let u(h) = -4*k(h) - 6*y(h). Let p be u(-3). Put p, v, -5 in decreasing order.\nAnswer: v, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -946 - -566. What is the common denominator of 118\/(-168) - (-4)\/14 and (-3)\/(-10)*y\/(-28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r - 19*r + 41*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.493? (a) -17 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*w + 22. Let q = -8 + w. Solve -2*y + 4 + q = 4*l, -3*l = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.5, 3, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {k: 9, h: 5, g: 3, j: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/21 and 60\/4459.\nAnswer: 13377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3160, 6316, 9472, 12628, 15784, 18940?\n\"Answer: 3156*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 305*u - 290*u - 21360. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542661 is divided by 2090.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1938097540.\nAnswer: 2, 5, 1423, 68099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(-12) + (25\/20 - 1). Suppose -5*a = 5*o - 110, -a + 12 = h*o - 7*o. Suppose -4 + a = 4*u - w, -4*w = u - 4. Solve -19 = u*t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let r be n(1). Let a = 2 + r. Is a - 2 - (1 + -35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-7.248.\nAnswer: -21.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19 - -17)*(-2)\/(-8)*0. Suppose -2*j = -a + 116, i*a - 3*j + 211 = 2*a. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6561711753.\nAnswer: 3, 2187237251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r + 50. What are the prime factors of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r - 16*r + 8*r + r**4 + 9 to a*r**2 + f*r**4 + j + d*r**3 + u*r and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/123423?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3675)\/(-150) - (34 - -4).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*t - 6645781, -35*l - 1329170 = -36*l + 5*t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**5 + 5*d**3 + 5*d. Let i(a) = -2*a**5 - 3*a**3 - 2*a. Let w(z) = -5*i(z) - 3*q(z). What is the second derivative of w(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(sqrt(2057)*2 + 3 + 5))*6.\nAnswer: -132*sqrt(17) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13022 - 1862175\/143. Let t be 6\/(-13)*2\/(-44). Let w = v + t. Which is the third biggest value? (a) 0.5 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16387265143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -196162353 divided by 3?\nAnswer: -65387451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10146146537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -1.29999815. Round l to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11855 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20192 is divided by 7327.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7*r - 3236, -629 = -c + 103*r - 99*r. Suppose 2*k - 2 = -4*u + 36, -4*k = 2*u - 46. Calculate the greatest common factor of c and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/2))*z*z**3\/z)**15*((z**(-5)*z)\/(z**(-1\/7)*z))\/(z**(1\/2))**(-24) assuming z is positive.\nAnswer: z**(415\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -1.8. Let m = -437 - -21411\/49. What is the nearest to y in 2, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5272 (base 11) in base 12?\nAnswer: -4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -637693, -637633, -637573?\n\"Answer: 60*a - 637753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(60)\/(sqrt(3)*2))\/(4*((sqrt(324) - 1*sqrt(324)) + sqrt(324)))*1.\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c = 44*c - 90*c - 165 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260306456 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089)*2)\/sqrt(3) + (sqrt(108) + sqrt(108)*-1 + -5 - sqrt(108))**2.\nAnswer: 133 + 82*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 3*b**2 + 2*b**2 - 1783*b - 2 - 16*b**2 + 4388*b.\nAnswer: -8*b**2 + 2605*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.875 and -660290337.\nAnswer: -660290334.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 24*l**5 + 35*l + 125. Find the first derivative of v(x) wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.09 (c) 4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 17*g**2 + 20*g - 15. Let b be i(18). Let a be -3 - (-48 + 3 + 0). Suppose 53 = 3*c - 2*h, -3*h + b = 5*c - a. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z + 13. Let y be t(-6). Suppose y*q - 2*q = 10. What is the lowest common multiple of 11 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89937142 is divided by 207.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1409392554 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*j - 292*j + 90 = -213 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5799 is divided by 91?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s + 79*s + 6987 = -4*s - 537 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -506 + 508.064. Let h = 0.064 - a. What is the second biggest value in -0.06, h, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Solve -2*d + 5*k - 36 = 2*d, -3*d - k - 8 = m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + 2142*s**4 + 2131*s**4 - 4294*s**4 + 2*s**3)*(3 - 3 - 1)*(9 - 5 - 3).\nAnswer: 21*s**4 - 2*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*c + 7 = 27, 0 = 5*h - c + 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28679 + -28679.24934. Let s = -0.3 - -0.05. Let c = s - t. Round c to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**3 - 18*h**2 - 1. Let s(j) = 56*j**3 + 98*j**2 + 6. Let a(f) = 11*n(f) + 2*s(f). Let c(v) = -v**3 + v**2 - v. Calculate a(q) + 2*c(q).\nAnswer: -11*q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1361 <= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/16)\/(102\/68).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 104 (c) 7 (d) 58 (e) 5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 smaller than 2\/8391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.2 + -33.5. Let j = 3.503 + p. What is j rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 3, -1976, 1\/18, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3558 divided by 6?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/783 and (2 - 789\/348)\/((250\/25)\/10).\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-7)\/1183*(-2)\/2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1675504 and 3\/1099.\nAnswer: 11728528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 150 = 5*x, -6*x = 3*p - 53846 + 53888 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4999 = l - 4991 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 18957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 - 123 - (31 + (-1 + 0 - -5))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3007986707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 6. Let f(s) = -s + 1. Let j = 395 - 388. Let a(w) = 14*w - 92. Let k be a(j). Calculate k*z(t) - 34*f(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 344*t**3 + 9*t**2 + 3 + 2*t**2 + 0 - 1 - 10*t**2 in the form u + f*t + r*t**3 + q*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-10)*a*a**(-7\/2)*a)**(6\/11)\/((a\/(a*a**4\/a*a*a))\/(a**(3\/11)*a))**(-8\/3) assuming a is positive.\nAnswer: a**(-241\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 122941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1934 divided by -3.\nAnswer: -1934\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2. Let t(o) = -135*o + 2. What is i(t(v))?\nAnswer: -91125*v**2 + 2700*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 50?\nAnswer: 106\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17066576.\nAnswer: 2, 59, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (0 + 0 + -2). Suppose h*q = 5*r - 17 - 58, -5*r = 3*q + 53. Let b = -8 - q. Solve -3*o = 4*p + 11, 5*p - b = 4*o + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let a(o) be the first derivative of 77*o**3\/3 + 2*o**2 + 205. What is a(b(s))?\nAnswer: 308*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -5 + (1 + sqrt(208))**2 + sqrt(13).\nAnswer: 12*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-175)\/(-2100) + 11\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 8, -10, -28?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/391 + 808\/5083. Let n = -30 - -53. Suppose v - 4*z = 1, 0*v + 3*z - n = -4*v. Which is the nearest to 1? (a) -4 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 80*y + 400 = 0. What is y?\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 4*w + 18. Calculate the highest common divisor of w and 2628.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2 + 10. Suppose -7*b + d*b - 40 = 0. What are the prime factors of (-2)\/(-5) - 576\/b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21314 + -21314. Solve 26*c + 34 + 96 = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*(3 - 2 + 1 + 1 - 4 + 5 + 1 + 4 - 4 + (-1 + 1 + 2)*(-2 + 5 - 4) + 1 - 1 + 2).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.2 (b) 1 (c) -1\/1188 (d) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 - 9*v + 16. Let d be t(7). Let j be -3 + 0\/d + 1. Let r = -3.1 - -0.1. What is the second biggest value in -0.5, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821067?\nAnswer: 61, 103, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 5, 0.1674, 2, 6, 0.1, -1\/3?\nAnswer: 0.1674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26778 or 26781?\nAnswer: 26778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 + -78. Let h = 125.024 + -232.965. Let o = h + z. Round o to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 577660\/11?\nAnswer: 577660\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-2)**2 + 4.\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 18 = 0, -n + 58 = 4*l - 2*n. Calculate the highest common divisor of l and 12779.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 3. Let p(c) = -4*c + 1. Let y be (3\/2)\/(1\/(-2)). Let u(v) = y*x(v) + 5*p(v). Let k be -2*2\/(8\/6). Calculate u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15829952335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44743582, 89487158, 134230732, 178974304, 223717874, 268461442, 313205008?\nAnswer: 357948572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -5, -2\/9, -0.02?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-12\/13)\/x))\/x*x*(x**42\/x)\/x)\/(x*x*x\/(x**(-9)*x)*x\/(x*x**(3\/8)*x*x*x*x)))**(-3\/4) assuming x is positive.\nAnswer: x**(-11325\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 48. Let z be v(25). Let r be z + 1 - -1 - (-17 + -55). Calculate the greatest common divisor of r and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4591.639ug in milligrams?\nAnswer: 4.591639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44c + 1?\nAnswer: -44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 19*t**2 + 4*t - 4. Let m(p) = p**3 - 18*p**2 + 5*p - 5. Determine 4*m(l) - 5*q(l).\nAnswer: -l**3 + 23*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*o + 5*h, -o = -5*h + 3*h + 13. Let p be o\/(-25)*5 + 3. Calculate the lowest common multiple of 8 + 8\/(2 - p) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061952 is divided by 746.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 198 = -a, -173 = -2*a + 3*n + 188. Let v = 154 + a. What are the prime factors of v?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1302 and -29\/31899.\nAnswer: 63798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 19702846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and 4\/10 + (55856\/91360 - 1)?\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:58 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 841596 by -420798.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 99, 148, 197, 246?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186375 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 94*o + 765. Let t be m(85). Which is smaller: t or 5\/1072?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427396370 divided by 2341?\nAnswer: -182570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1181039, 2362077, 3543129, 4724201, 5905299, 7086429, 8267597, 9448809?\n\"Answer: u**3 + u**2 + 1181028*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8786 + -8708. Solve -67*c + 93*c = -v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26.6, 2\/17, -1, 118, 1 in increasing order.\nAnswer: -26.6, -1, 2\/17, 1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*i - 20. Let g be 18\/15*i\/(-6). Suppose -g*n + 12 = -n, 3*v - n - 104 = 0. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4724997 litres?\nAnswer: 472.4997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*h + 177*h + 184*h + 183*h - 719*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*33\/(462\/(-28)). Let i = -462389\/3405 + 679\/5. Do s and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 4, y: 5, k: 1}. What is prob of sequence kx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (1 + (-6)\/2). Suppose -4*v + 154 + 58 = k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*t + 1)*(t + t - 3*t) - t**2 - t**2 + 3*t**2 + t**2 + 2*t**2 + 2*t - 3*t + 2*t**2 - 4*t**2 - t**2 to the form q*t**2 + k*t + m and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5186514?\nAnswer: 2, 3, 864419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 9, 18?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + -0.18. Let a = -0.13 + -0.05. Let h = -0.12 + a. What is the smallest value in b, -3\/4, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*f**2 - 6*f**3 - f**5 + 6*f**3 + 5*f**5 wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640348 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: Evaluate (120 - 118) + (7 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 250733 = 39*g + 14*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76120\/183 or -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -12433*b**3 + b**2 - 5*b - 7. What is the units digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 - 46. What is the remainder when u is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 202*w - 1817. Calculate i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 8*o + 10. Let t be z(8). Suppose 5*p + t = 419. Let l = -59 - -77. What is the remainder when p is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74456, 148886, 223316?\n\"Answer: 74430*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2816)\/2112*(-11)\/((-132)\/(-450))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4364, -32, 112\/3?\nAnswer: 112\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -82, -116, -188, -310?\n\"Answer: -2*w**3 - w**2 + 9*w - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(-28)\/f*f)\/(f**36*f) assuming f is positive.\nAnswer: f**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -22001021?\nAnswer: -22001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 8:12 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*l + 104, 3*l - 4*z + 6*z = -148. Let p be 1\/(-2)*(-2 - 104\/l). What is the fourth biggest value in 1\/6, 0.3, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:29 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 170 + 2*x + x**3 - 176 + 5*x**2. Calculate c(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40087 + 40088. Sort -52, 14, t in decreasing order.\nAnswer: 14, t, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - -29?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 19. Let q(c) = -4*c**2 - c - 1. Let p be q(-1). Let f be j(p). Let z be 10\/40 + f\/4. Let x(a) = -a**2 + 3*a + 1. Give x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 0.1, 8\/9, 1\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9797 + 35498. Calculate the highest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 60?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -102102210001 (base 3) in base 10?\nAnswer: -225100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose 4*l = -3*m + m + 14, -w*m = -5*l - 80. Suppose -4*r + 3*r + m = 0. What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -60\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - 37\/(-5). Suppose -3*l - 12 = -6*l. Let m(d) = 2*d**2 - l - 3*d**2 + o + d. Determine m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3135698197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u + 2. Let g(v) = 10*v**3 - 5*v**2 - 15*v - 18. Let x(i) = 2*g(i) + 18*z(i). Let x(w) = 0. What is w?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277*n + 110*n - 540*n)*(2 + 32 - 5 + 1).\nAnswer: -4590*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -882 - -1599. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 - 4*a**2\/3 + 11*a\/3 + 10.\nAnswer: -(a - 3)*(a + 2)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5340 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + h - 2*h)*(-2 + 3 - 2) + 3*h - h + h + 4*h + 3*h - 5*h)*(-4*h**2 + h**2 + 2*h**2).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 39442*z - 39444 = 0. Calculate z.\nAnswer: -1, 19722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/((-2975)\/(-42)))\/(2\/(-5)). What is the biggest value in 0.3, j, 11, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -33*o - 2. Suppose -2*w + n = -48, 0 = 4*w - 3*w - 3*n - 19. Suppose 4*u = -5*q - w, u - q = -4*q - 8. What is the tens digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55315 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, n: 1, e: 1, x: 1}. What is prob of sequence dw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.4 (b) 1578 (c) 1\/7 (d) 0.01 (e) 5\/6 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158575 - -228318. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476770710?\nAnswer: 2, 3, 5, 13, 971, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 414\/(-51) + 11. What is the closest to -1 in n, -2, 2.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5964*i. Let q(k) = -90*k. Determine n(q(o)).\nAnswer: 536760*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 472197*i**2 - 1888827*i - 1416627 = 0. Calculate i.\nAnswer: -3, -1, 157403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/15 + z**4\/6 - 43*z**2. Determine g, given that f(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**1)))**(-4\/15))**(-40\/9)\/(((l\/(l\/(l\/(l\/(l**(2\/3)\/l))*l)))\/l*l)\/l**8*l\/(l\/l**(-8))*l*(l**(-3\/5)*l)\/l) assuming l is positive.\nAnswer: l**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.28 + -0.1672\nAnswer: 6.1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -6039.19?\nAnswer: 6039.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -64*o**7\/21 + o**5\/30 + 631*o**4\/24 + 5430*o**2. Find the third derivative of r(w) wrt w.\nAnswer: -15360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117210 is divided by 113994?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 93*c**2 - 160*c**2 - 3 + 3.\nAnswer: -67*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -303 + 297 + 20149 + 0 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t + 0*t**3 + 111 - 15\/2*t**2 + 0*t**5 + 0*t**4 + 19\/3*t**6. What is the second derivative of j(b) wrt b?\nAnswer: 760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = g, -5*i - 25 + 2 = 4*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 618 + 2034 = 0. Let y = z + -442. Solve 13*b + 13 + 52 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/(x**(-3)\/x))**26 assuming x is positive.\nAnswer: x**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 11:34 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 1 + 3*d - 1\/3*d**3 + 5\/2*d**2. What is h(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 33\/5208604 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2139173 (base 10) to base 5\nAnswer: 1021423143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 5. Let s(b) = -b**2 - 5*b - 4. Let p be s(-3). Suppose p*a + 2 = -8. What are the prime factors of j(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5885.21 weeks in nanoseconds?\nAnswer: 3559375008000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 2 + 5 - 7. Let m(p) = 3*p. Determine m(y(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 436 = -76. Let u = t - -66. Solve x + 3*f - 7 = 0, 2*f - u + 4 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(14)\/sqrt(2) - (sqrt(7) - (0 + sqrt(7)))*2)**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 148\/(-28) - (48\/(-21) - -2). Let v = -3 + 3.1. Let n = v + -0.1. Which is the second smallest value? (a) n (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 1 i when three letters picked without replacement from {f: 1, i: 2, d: 1, y: 8, e: 3, c: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95432710 a multiple of 2510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5029.505 minutes in milliseconds?\nAnswer: 301770300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from yyyyfffyfyfy.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + 1 - -8. Suppose -3 - 22 = -2*d - 3*u, -5*u + 31 = 2*d. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -476236 + -5?\nAnswer: -476243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 5*z + w, -z + w + 67 = -33. Suppose 96 = 6*c - 4*c + 5*h, 0 = 2*c - h - z. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 + 2*n + 28. Let j be z(0). Suppose -6*l = j*l - 1156. Calculate the remainder when 199 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-550)*-10*-11.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/29)*d)**(-3\/5)*d\/(d*d**42)*d**(-8\/5) assuming d is positive.\nAnswer: d**(-6403\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688222209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 - 4*v + 4. Calculate the remainder when 14 is divided by q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15198*g**2 + 7523*g**2 + 26*g - 4*g + 7541*g**2 to the form x*g + u + v*g**2 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242214 and 6?\nAnswer: 242214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)\/k)\/(k\/k**(2\/5)) assuming k is positive.\nAnswer: k**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3925144 is divided by 245?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -20*c. Let m be t(3). Let s = m - -60. Suppose 0*w - 3*w = -6, -3*h - 3*w + 1512 = s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -5 (c) 15924\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 24*r - 2. Let d be a(3). What is the highest common factor of d and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410336551*p**2 - 820673121*p**2 + 410336563*p**2 - 1.\nAnswer: -7*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -12, 0 = 3*n + 4*r + 3 + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(405) + (-5 + -2 + sqrt(405))**2 - sqrt(405)).\nAnswer: -126*sqrt(5) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -4. Let q = b + -23. Let z be q\/(-63)*-1 - 11\/(-9). Solve z = -5*g + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*q + 2*q**2 + 6*q**2 + 0*q**2 + 35*q to s*q + t*q**2 + z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/176 + 28\/(-19040)*125?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 6*s**2 + 3*s**2. Let u(p) = p**2. What is u(t(c))?\nAnswer: 81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -16. What is the second biggest value in t, 3\/2, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1509433*r**6 + 1343*r**2 - 2*r - 23?\nAnswer: 181131960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96196, -92823, -89452, -86083, -82716, -79351?\n\"Answer: -g**2 + 3376*g - 99571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -4 + 12*1. Let p(n) = -11*n - 13. Suppose -32*m + 28*m = -24. Let c(k) = 5*k + 6. What is m*p(l) + u*c(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 137.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 81*v**2 - 167*v + 655. Give z(79).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 167 = -4*w + 4*q, 129 = 3*w - 3*q. Suppose l - 7 = w. What is the remainder when l is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349 - 327. Let t(i) = -i**3 + 22*i**2 + 21*i + 77. Let s be t(r). Calculate the highest common factor of s and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 + w**2 + 8*w + 13. Is y(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 - r - 7. Let g be h(-7). Let b = g - -2. Suppose -12 = -3*w + 3*d, w = -0*w - d - 6. Is w at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 10. Let s be a(-8). Suppose -3*c = 3*x, 0 = -2*c + 2 + s. Let p be ((-6)\/(-30))\/(x\/(-5)). Which is greater: p or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882369?\nAnswer: 3, 98041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 173 = 37. Let b = f + 39. Solve 0*g + g = -b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/180 + h**4\/27 - 2*h**3\/27 - 3*h + 4. Determine m so that k(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5760.6 and 3001?\nAnswer: 8761.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by -3.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbdb when four letters picked without replacement from {d: 1, b: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {k: 2, e: 1, p: 1, x: 1, w: 3, j: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 19 + 11. Suppose 2*v = -w + 79. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = -308. Suppose -p = -5*t + 188. What is the remainder when 76*((-15)\/50)\/(6\/(-55)) is divided by t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*l - 38*l - 5. Suppose -4*p = -8, 5*a - p + 56 = 2*p. Let b be ((-4)\/a)\/(5\/(-25)). Sort b, l, -1 in increasing order.\nAnswer: b, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3146 and 3146 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2249116 or 2249119?\nAnswer: 2249119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40445 divided by 1624.\nAnswer: 40445\/1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 35*r\/3 - 1691\/6.\nAnswer: (r - 89)*(r + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa (base 12) to base 8.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/5))\/(n**(-9)\/n))\/(n**(3\/5)*(n*n**3*n)\/n) assuming n is positive.\nAnswer: n**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24 + -3)\/9)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14485865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajja when four letters picked without replacement from {j: 3, v: 2, a: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 12135320*h - 147265991502400.\nAnswer: -(h - 24270640)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3 + 3 + 2*y**2. Let t = -497 + 720. Let g(a) = -223 + t - 2*a. Determine g(v(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z - 35. Let k be f(-16). Let l = k + -89. What is the third derivative of 3*j**2 + 12*j**2 + 7*j**2 + 14*j**l + 13*j**4 wrt j?\nAnswer: 648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/5 + 114*o**3\/5 - 3234*o**2\/5 + 19118*o\/5 = 0.\nAnswer: -79, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/12 - 3*d**2. Let h(g) = 5*g. Give h(q(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 3*o**5\/5 - 3*o**4\/4 + 9. Factor n(p).\nAnswer: 3*p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 4407?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 2*n - 2. Let d(k) = 70*k**2 - 33*k**2 - 317*k - 35*k**2 + 158*k + 157*k - 2. Give -4*d(g) + 3*h(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 120, 432, 1034, 2022?\nAnswer: 3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-2 + -3)*2*3*5*-1)**2.\nAnswer: 108000*sqrt(2) + 728100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 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: Which is the fifth smallest value? (a) 2\/5 (b) -7 (c) 0.07 (d) 5.6 (e) 7 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58003777, -58003779, -58003781, -58003783?\n\"Answer: -2*g - 58003775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*m**2 + 100*m**2 - 4*m**3 - 46*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 4:59 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 + 4*d + 4. Let h be b(4). Let r = -15 + 25. Suppose r = -h*l + 5*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-299)\/(-115) + 2\/(-1))\/(0 + -1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - j + 2 + 7 + 50*j**2 - 7 as n + x*j**2 + c*j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106796*z + 320418*z - 106824*z - 106794*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:32 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**0\/g)**(11\/3))**(-31)*((g**3*g)\/g*g)\/(g*g\/(g*g**(2\/13))*g*g)*(g\/g**1)\/(g*g\/g**7) assuming g is positive.\nAnswer: g**(-8626\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4, 0 = -2*i - 3*j - 0*j + 4. Let y(x) = x**2 + 4*x. Let g be y(i). Suppose -p - p + 52 = g. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((2 + 1)\/(-3)). Let a(h) = 5*h - 2. Let d(r) = -3*r + 1. Let l(n) = 2*a(n) + 3*d(n). What is l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/59 (b) 1\/8 (c) -19 (d) -4 (e) 1038 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 5080780*s - 32267906760500.\nAnswer: -(s + 12701950)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*r + 81, -s - 4*r + 33 + 2 = 0. Suppose 4*z = o - 4, -o - 3*z + s = -9. Solve -4*h + o = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 40. Suppose 5*p - 13 = 2. Suppose -p*f = -41 + b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111222211 (base 3) to base 4.\nAnswer: 2133121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -823 and -822 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2961 = 1216*n + 1235*n - 2514*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.057 from -0.0231256546.\nAnswer: 0.0338743454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*b - 12 = 2*b, -9*i - 2810*b + 2811*b - 18 + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 802 = 10*k - 15*k + 9*b, -3*k + 5*b + 148 = 390 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -327, -255, -183, -111, -39?\n\"Answer: 72*m - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/(-15))\/(-8)*(-162819)\/6. Suppose 2*k = c + 15509. What is k rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52 - 52 + i + 160*i**2 - 4 + 4 - i**2 + (5*i - 2*i - 2*i)*(2*i - 3*i + 3*i).\nAnswer: 161*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h - 5187*h**2 + 4 + 2*h**3 + 5187*h**2 - 2 as j*h**2 + b*h + z + v*h**3 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*u = -4*u + 19, 0 = -5*u + 15. Solve 0 = c - 4*q + 4, 24 = l*c + 7*q - 5*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60432 + -3?\nAnswer: -60435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -28, -0.2, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13001 + 12990. Let t(i) = -2*i**2 + i + 2. Let u be t(2). Let p be 3\/12 - 1\/u. What is the third smallest value in p, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = b + 5*p, 0*p = 2*b + 2*p + 14. Is b != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from ifydiwm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, 6, 2\/7, 63, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/951, -219, -3, 9 in descending order.\nAnswer: 9, 1\/951, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 503*l - 506*l - 4*z - 65, 4*l + 2*z + 30 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70, -145, -220, -295, -370?\n\"Answer: -75*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = 73 - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/163530 and 48\/26105.\nAnswer: 37121310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -7*o**5\/10 - 7*o**4\/6 - 5*o. What is the third derivative of p(m) wrt m?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-90)*-3*(4\/14)\/(456\/(-3990)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**3 - r**2 + 2*r - 4. List the prime factors of p(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = 10. Let t = m + 40. Calculate the least common multiple of 6 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 11. Suppose -3*u - 2 = 2*p - z*u, 4*u = -4*p - 32. What is the second biggest value in 4, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 28 = 2*u. Let i = -3 - u. Differentiate -7 + 2*y**3 + 8 - 2*y**3 - 2*y**i with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtttttttttttbtttt. Give prob of sequence btt.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 + -299. Let 27*i**2 + 6*i**2 + 6 - g*i + 0*i - 18*i = 0. Calculate i.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/16 - (-3)\/(-2). Let o(n) = 9*n**2 + 8*n - 6. Let c be o(z). Calculate the remainder when c\/10 + 4\/10 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -5*u**3\/3 + 65*u**2\/2 - 112*u. Let v be k(6). Solve 0 = -v*t + 5 + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/10 + k**4\/6 - 5*k**3\/3 + 3*k**2\/2 + 36*k. Is v(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + 1.99. Which is the nearest to 0.1? (a) -3 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92947021 + -0.04.\nAnswer: 92947020.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-4 + 3 + 0). Let q = 19 + -18. Suppose -5*x + 16 = -9. Solve -z + b = -t - x, -t = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000110101000 - -10000?\nAnswer: -111000110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 667152 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*r + 4*d, 2*r + 5*d + 6 = 0. Suppose -r*j + 0 = 6, -3*i + 3*j - 261 = 0. Let p = i + 199. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1241.87 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 4*d - 3. Let r(j) = j**2 + 3*j - 2. Give 4*r(a) - 3*t(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -321.8 + 328. Let u = -1.2 + n. Which is the third biggest value? (a) -3 (b) -4 (c) 4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3)\/(2\/(-3)). Suppose 4*h = v*u + 8, -3*u = -4*h + 4 + 2. Is 3\/4*12\/h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451911, -451909, -451907, -451905, -451903?\nAnswer: -451901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d)**3\/(((d\/(d*d\/(d\/(d\/d**(-5\/2)*d)))*d)\/d*d)\/d**(4\/3)) assuming d is positive.\nAnswer: d**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {z: 1, x: 11, v: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2116162 and 19\/219783.\nAnswer: 387257646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 36 = 27*r. Suppose 4*m = -4*s - 9848, -r*s - 3*m = -4*s - 2454. What is s rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2322235036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 79. Let s(w) = 424448*w. Give r(s(n)).\nAnswer: -424448*n + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -169 * -17704\nAnswer: 2991976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d + 72. Let i be f(12). Let z(h) = h - 33. Determine z(i).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1653, -1557, -1403, -1191?\n\"Answer: 29*g**2 + 9*g - 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 9*k - 14. Let r be n(-6). Suppose 3*u - h - r = 0, -4*h - h = -25. Solve -2*x = 5 + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 153*r**2 - 88*r + 1000. What is u(76)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g - 10*g + 8 - 7*g + 28*g. Let k be s(13). Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491229 is divided by 402.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**3 - 2*v**2 - 4*v - 2. Let q be h(-1). Suppose -l + 1452 = q*l. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Suppose 3*v + 6*f = 2*f + 77, 2*v = i*f + 23. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 108 - 30. Suppose 0 = c - 1, 4*i + 47 = 5*c + r. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose 2*y + 4 = b, -2*z - 2*y = -z - 88. Let n = -52 + z. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 274\/(-70) + 22\/110 - -4. Factor l*r**2 + 8\/7*r + 6\/7.\nAnswer: 2*(r + 1)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 351755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -2.4. What is the third biggest value in -0.1, -6, g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/5*315\/126. Let l(q) = -10*q. Let d(z) = -23*z. Let b(x) = i*d(x) - 14*l(x). Let p(t) = 10*t**2 + 8*t**2 - 3 + 3. What is p(b(g))?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4 = 0, -5*v - 8 = 2*x - v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39161619.\nAnswer: 3, 7, 113, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4220.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.3. Let y = -2 - -4. Suppose l = y*l + 1. Which is the closest to -1? (a) 3 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0790372 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 133?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k*k**(-28))\/k))*k\/(k\/(k**(2\/3)\/k)))\/(k\/(k\/k**(-11))*k)**(-29) assuming k is positive.\nAnswer: k**(-955\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15379, 30763, 46151, 61543, 76939, 92339, 107743?\nAnswer: 123151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*n + 152, -4*o + n + 139 + 147 = 0. Suppose o*h = 64*h + 3640. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776864 and 12450?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73047193*g**2 + 23941798*g wrt g?\nAnswer: 146094386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 21 = -3*q - 3*t, -27 = -4*q - 5*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*l + 241*l = -3*c + 13155, 0 = 4*l + c - 52565. Is l a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21636, -43127, -64618, -86109, -107600?\nAnswer: -129091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnni when four letters picked without replacement from knnkssknskik?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7595 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -607196 + 607196 + 9729*a**5 + 2*a**5 + 0*a**3 + 0*a**3 + (0*a**4 - 5*a**4 + 3*a**4)*(-a - 2*a + 5*a) + 0*a**2 + a**5 + 0*a**2 - a**5 - 2*a**5 + a**5.\nAnswer: 9726*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 2*q + 244. Let l(f) = 2*f**2 + 3*f - 242. Calculate 2*l(y) + 3*u(y).\nAnswer: y**2 + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9992921 - -9992927.99999992. Let a = z + -7. Round a to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let p = 5\/18 - -1\/18. Let v(f) be the second derivative of 0 + p*f**4 + 0*f**2 + 0*f**3 - f. Determine v(h(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)\/((-3)\/44*40\/(-480)). What is the greatest common factor of y and 2000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 994560 divided by 248640\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027866 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + q)*(3 - 3 - 2) + 126*q - 13 - 106*q + 14 + (-5 + 1 + 1)*(-q - 2*q + 4*q).\nAnswer: 15*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 23*z + 92 = 0, -121*z + 122*z = h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51484356 and 70356.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**4 - i**3 - i. Let q(r) = -15*r**4 - 4*r**3 - 4*r + 5. Let c(w) = -q(w) + 4*z(w). Differentiate c(p) with respect to p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, v: 9}. Give prob of sequence sss.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2049*n**2 - 20*n + n - 158 + 19*n.\nAnswer: 2049*n**2 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2008 + 2009. Let m = -941 - -5731\/6. Let n = 31\/2 - m. What is the nearest to p in -2, 11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y + 4*m - 16, -2*m = -y + 2. Which is smaller: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 311, 619, 925, 1229, 1531, 1831?\n\"Answer: -a**2 + 311*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -18, 8.\nAnswer: -18, -7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**4\/12 - u**2\/2 + 3*u + 2. Let v(n) be the first derivative of f(n). Determine t so that v(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109269 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 + 5*j - 3. Let s be 39 - 34 - 10\/1. Let w(t) = 7*t**2 + 6*t - 4. Calculate s*w(a) + 6*x(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**2 + 6*d - 6. Let c(g) = 5*g**2 - 2*g + 2. Let q = -30 - -60. Let w = q - 38. Give w*c(h) - 3*v(h).\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -25. Let k be 72\/j*20\/3. What are the prime factors of k\/20*5\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let f(d) = -49*d**2 - 3*d. What is f(g(v))?\nAnswer: -784*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3239 = -2*t - 3169, t - 35 = -2*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-115)\/(-2)*-210*59\/20650?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19*u**2 - 5*u. Let a(p) be the second derivative of 5*p**4\/6 - p**3\/2 + 3*p. Let c be 1028\/11822 + (-113)\/(-23). What is c*a(q) - 3*x(q)?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 471914930 divided by 5\nAnswer: 94382986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -491 + 517. Calculate the remainder when 148 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 + (-1)\/1 + -4 + 1. Calculate the remainder when 47 is divided by (11 - x)\/(8\/(-30)) - -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61716.58 nanograms?\nAnswer: 0.06171658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {h: 1, k: 1, e: 5, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 12:34 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-4*l + 0 + 0 + (1 - 2 + 2)*(-l - 2*l + 5*l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -5*p - p. Suppose 80 + p = 3*u. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1060 and 466835.\nAnswer: 98969020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2518*y**4 - 854*y - 77748911 with respect to y.\nAnswer: 10072*y**3 - 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90395 - -90385.8538. What is q rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4916030 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**4 - 4*v**4 + 2*v**4)*(2 - 7 + 3 + (1 + 0 - 3)*(5 - 3 - 3) + (-2 + 1 + 0)*(0 - 1 - 3) - 4 + 3 - 2 - 4 + 2 + 5).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11372979.98 rounded to the nearest 1000?\nAnswer: -11373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 9*j + 2*j)*(-13 + 0 - 21 + 3).\nAnswer: 217*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -97*n**5\/5 - 5*n**4\/4 - 767*n**2\/2 - 2303. What is the second derivative of o(h) wrt h?\nAnswer: -1164*h**2 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 358 - 357. Let o be (1\/5)\/((-18)\/30). Which is the nearest to z? (a) 3\/4 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -227e?\nAnswer: 227f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 4, h: 2, w: 1, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4002 - 40.\nAnswer: -4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4144 - 2182 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16622 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let t(j) = -20793*j**2 + j. Determine t(l(v)).\nAnswer: -83172*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7*f - 4. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/3975*(-140)\/38. Let d = x + 40055\/44308. What is the common denominator of (-2 + 78\/32)\/(6\/4) and d?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*u**3 - u - 53*u**3 - 31*u**3 + u - 43*u**3 - 121*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*g**6 + 7981*g**3 - 888632*g**2.\nAnswer: -5640*g**3 + 47886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -1\/5*k**5 - 6*k - 2*k**2 + 0 - k**4 - 2*k**3. Factor x(o).\nAnswer: -4*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/3 - 5. Let f = -62 + -1. Let o = -125\/2 - f. Put -0.4, o, g in descending order.\nAnswer: o, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3. Let c = -7.61 - -1.31. Let o = 1.3 + c. Sort o, q, 5 in descending order.\nAnswer: 5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -26, -37, -52, -71, -94, -121?\n\"Answer: -2*v**2 - v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1 + sqrt(637))*-1 + -3 - (2 + 3*(-4 + 0 + sqrt(13)))))**2.\nAnswer: -4000*sqrt(13) + 34100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (318 - 651 + 18*h + 317)*(-h - 2*h + 1 + 4*h) in the form a + z*h + d*h**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 182 + 3*x**2 - 96 - 92. Let g(j) = -3*j. Calculate g(i(r)).\nAnswer: -9*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 4*g - 24. Solve -g*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*i**2 - 21*i**2 + 5 + 2*i - i**4 to the form h + d*i + q*i**3 + k*i**4 + t*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -53840.\nAnswer: -215360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -3125, 1\/372?\nAnswer: 1\/372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjjhjj. What is prob of picking 1 j and 2 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-4\/3))\/(t*t\/((((t**9*t)\/t)\/t)\/t))*(t**2\/t)**(-7) assuming t is positive.\nAnswer: t**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 + 3769*i**4 - 215351*i**3 + 419399*i**2 - 207816*i = 0. What is i?\nAnswer: 0, 1, 56, 3711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/291*36\/(-114).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 4506687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*i**3 - 4 + 4 - 90*i**3 - 2*i**2 to the form o*i**3 + f*i + a*i**2 + p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 2, -1 in ascending order.\nAnswer: -6, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -17, 3, 16, -6, 5, 6 in decreasing order.\nAnswer: 16, 6, 5, 3, -6, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 107*t**2 + 400*t + 1669. Is y(-117) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-519426)\/(-459) - 36\/(-102)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 30. What is the tens digit of (-246)\/h - (-5)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 55, -4, -3 in decreasing order.\nAnswer: 55, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50460 and 1082280.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10584 and 109\/266616.\nAnswer: 5598936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -517 + 4?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:12 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2*f)**(-2)\/((f**(-2)\/f)\/f)**(-1))**(-29) assuming f is positive.\nAnswer: f**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-3)\/(-18)*9\/6). Suppose 0 = -a - g*a. Solve -3*r + 2 - 5 = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 96*n + 10. Let q(a) = -32*a - 3. Let p(w) = -8*q(w) - 3*r(w). Let i(g) = 2*g**2. What is p(i(o))?\nAnswer: -64*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 8*r**2 + 11*r. Let g be s(-8). Let h = -61 - g. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188005600 a multiple of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7267 and 33124.\nAnswer: 1424332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31425 - -2620?\nAnswer: 34145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -562.1138 + 0.1138. Let l = h - -561.96352. Round l to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372999585 divided by -5\nAnswer: -74599917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -650*z + 222 wrt z.\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -318331, -317993, -317643, -317275, -316883?\n\"Answer: k**3 + 331*k - 318663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.48 + 9. Let p = j + 0.4. Let t = 4.92 - p. Which is the second biggest value? (a) 2\/7 (b) -1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 14, k: 4}. What is prob of sequence khkh?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose -4*o - 2 = -h, x*h + 3*o + 19 = 5*h. Suppose -m + h = 5*c - 7, 4*m = -4*c + 20. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (299\/1)\/(2 + -1). Suppose 2*v - 155 = x - 4*x, 4*v - 5*x - f = 0. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 3.3.\nAnswer: 178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -272*-57\nAnswer: 15504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1*37*-1. Let p(r) = -20*r + 364. Let w be p(18). What is the third derivative of -9*j**w - j**4 - i*j**2 + 5*j**4 wrt j?\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44926.56 years to millennia.\nAnswer: 44.92656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1167*r**3*t**3 - 1083759*r**3*t**2 - 49*r**2*t**2 + 201*r*t**3 - 17*t**4 wrt t?\nAnswer: 7002*r**3 + 1206*r - 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -956, 331, 1618?\n\"Answer: 1287*i - 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 9}. Give prob of picking 2 x.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 10*t = -92. Let u = 55 + t. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + 648\/(-84) + 19. Which is the closest to 3? (a) g (b) 4 (c) 57 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 2. Let z = 1.4 - 4. Let p = z + 0.6. What is the third smallest value in g, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 55431*p - 1828134.\nAnswer: -(p + 33)*(p + 55398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -45*t + 28. Let d be s(-7). Let r = -1030\/3 + d. Which is the third smallest value? (a) -0.2 (b) r (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573) + 1 + -2)**2.\nAnswer: 44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 8 - 6*m - 5*m**2 - 34 + 31 as t + z*m**2 + c*m and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f + 10. Let t be -1 - (16 - 1)\/(-5). Let x(c) = -c**2 + 37*c - 19. Let n(v) = t*x(v) + 5*m(v). Let p be n(-6). Which is smaller: 37 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 3*j**5\/5 - 13*j**3\/3 - 19. Find the third derivative of f(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g + 284465. Let n = 537692 - g. Suppose 5*l - n - 246773 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 13. Let g be ((-216)\/(-84))\/((-2)\/z). Let a be ((-6)\/4)\/((-17)\/68). Calculate the greatest common divisor of g and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6190 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7167 is divided by 194.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-8)\/(-4))\/((-30)\/(-24)))*-4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2396357, -4792714, -7189071, -9585428, -11981785, -14378142?\n\"Answer: -2396357*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + -3 + 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnsw when four letters picked without replacement from cnwdwwwdwdsnw?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1221 and 39778959.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0\/((-2)\/2). Suppose 4*x - 4 = 0, -4*k - 2*x + 6 = -3*k. Solve -f = -c - 0*f + 2, -k = h*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1221.175 - 1234. Let r = g + 13. What is r rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199176228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748760 by -7.\nAnswer: -748760\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 0.9\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + (10\/(-3) - 28\/42). Suppose 4*j = j. Suppose -s*r = -j*r - 1818. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.97 + 3.5. What is o rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 643543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 5, j: 6, x: 3}. What is prob of sequence xfb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 22*r**2 - 35*r - 7. Let a be h(9). Let l(n) = -1 - 7*n + 5*n**2 + 4 + 3*n. Give l(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 28. What is the remainder when 8*(-2 + 138\/12) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/4)\/(h**(2\/3)*h))\/(h**(2\/11)*h*h\/h**(-4)*h))\/((h\/(h**(-2\/5)*h))**(3\/8)*h**(-3)*h**(1\/3)) assuming h is positive.\nAnswer: h**(-779\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112548 - -586?\nAnswer: 113023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:52 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31253 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 5*k - 4. Let x be j(-5). Let s = -27 - x. Sort -14, s, -1 in descending order.\nAnswer: s, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 425\/2*(-162)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - 4*u)*(1 - u - 1) + (3 - 4 + 0)*(u**2 - u**2 - u**2).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 394 and 2192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 - 168. Solve 5*w = 3*p - z - 29, -2*w + 2*p = 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z + 5. Let a(n) be the second derivative of -37*n**3\/6 - n**2\/2 - 20*n. Let b be a(z). Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + -7 - -1 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-4 - -4 - -6) + (-13 - -64)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8313\/10)\/(-4*(-5)\/(-50)). Let w = j - -2096. Calculate the common denominator of -81\/10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -19*s**8\/56 + 19*s**4\/12 - 10*s. Find the third derivative of m(u) wrt u.\nAnswer: -2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + (sqrt(700) - (2*sqrt(700) - sqrt(700) - sqrt(700)) - sqrt(700)) + 3*(sqrt(700) - (sqrt(700) + 1)) + sqrt(700) + 1 + -1 + 0)**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 0.09, 4, 2\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -57. Let b(d) = d**2 - d + 3. Let j be b(2). Suppose -3*y = j*y - 16. Solve y*g + 2*g = -r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 1\/15*x**4 + 0*x**3 + 0*x**2 + 3*x + 0. Factor o(n).\nAnswer: 4*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.32 + -0.68. Let d = 64 + l. Let r = d - 24.8. Which is the biggest value? (a) 2\/7 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802974081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956*k**2 + 10 + 6 - 923*k**2.\nAnswer: 33*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -5*l + a, -l = 5*a - 3*a - 19. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 2*l. Suppose 2*q - l*q = 12. Is 7 a factor of ((-4)\/q)\/(6\/225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 33 = n. Solve -n = 4*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -83*k - 491. Calculate w(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 9*q + 35. Let x(h) = h**2 - 3*h - 12. Let n(f) = -17*x(f) - 6*z(f). Let v = -21 + 26. Give n(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 2. Let m be r(-2). Suppose m*h = h. Let i(p) = 2*p - p**3 + h + 3 + 4*p**3 + 3*p**2. Calculate i(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {q: 1, t: 2, e: 1, g: 1, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32, -38, -34, -14, 28?\n\"Answer: c**3 - c**2 - 10*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -9.3. Let z be (6\/(-8))\/(90\/480). Which is the smallest value? (a) -1 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-766)\/(-22) + (-4)\/(-22). Suppose 5 = 5*o - y. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2*q - 5*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a - 22. Give c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 25. Suppose 2*z + s - 2*s = -15, -z - 4*s - w = 0. Calculate the smallest common multiple of 8\/z*10\/(-4) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**2 + 26*n**2 + 4*n - 13*n**2 - 2*n**3 + (11*n**3 - 205 + 205)*(-1 + 1 - 1) in the form g*n**3 + r + l*n**2 + t*n and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 5*x**2 + 5*x - 4. Let q be u(3). Let k be (10 - 9)*22\/(-5) + 54\/135. Is k at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57145 and 44.\nAnswer: 228580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 26*z = 47*z - 7070. Calculate the remainder when z is divided by 70.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -530 + 525. Let g(i) = -5. Let h(x) = x + 6. What is y*h(c) - 6*g(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 1\/(-1))\/2. Solve 6*u - 5*u - 1 = j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 15*v - 48. Let c be i(16). Let f = -3369\/4 + 842. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 0, -1\/4, -4\/5, -1\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-78) - (-4)\/26\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - 39*w**2 + 10*w - 42. Give f(12).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 29 = -4*z + 3*a, -2*z + a - 7 = 0. List the prime factors of ((-14 + 4)\/z)\/((-2)\/(-12)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 196, 682, 1482, 2590, 4000, 5706?\n\"Answer: -m**3 + 163*m**2 + 4*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7754 <= -7753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 + 2*x + 4. Let c = 230 - 227. Let z(j) = -6*j**2 - 4*j - 5. Let i(l) = c*s(l) + 2*z(l). Let v(y) = y**2 - y. Calculate -i(m) + 2*v(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*w - 1672 = 48*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-99)\/(-6))*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 623.0425 - 623. Let d = t - 0.04250492. What is d rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1606)\/((-4307)\/(-59))*(-15)\/(-10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 1 + (-79 - (63 - 125)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -5 (b) 11 (c) -18 (d) 1\/8 (e) 4\/7 (f) 74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Let p = -28 - -35.4. Let r = p + -7. What is the second smallest value in i, r, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10460 + -125603\/12. What is the common denominator of p and ((-903)\/72)\/7 - -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 7*p**2 - 7*p + 9. Let t be f(8). Find the first derivative of j + t + 3*j - 20 - 3*j wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**4*g**2 - a**4 + 3*a**3*g**2 - a**2 - 10*a*g**2 wrt a.\nAnswer: 192*a*g**2 - 24*a + 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001828 rounded to 7 dps?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5991, 5 in increasing order.\nAnswer: -5991, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 149 * -751\nAnswer: -111899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47928819 + 47928819 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -96. Let g(o) = o**3 + 14*o**2 - 27*o + 83. Let h be g(x). Factor 0 - 4\/7*y**2 + 4\/7*y**4 + 0*y**h + 0*y.\nAnswer: 4*y**2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1359017946 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 1110*q - 8 - 112*q + 14 - 7.\nAnswer: -3*q**3 + 998*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 = 3*r - 17*r. Let y be (44\/2)\/(r\/28). Solve -y*l = -10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2397 - 309 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Suppose -q = 4*g - 11, -5*g - 2*q + v = q. Suppose -16 = g*p - 72. Calculate the remainder when 65 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12033 divided by 3.\nAnswer: -4011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22103211021 - 0?\nAnswer: 22103211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*b - 47, -3*b - 3*z = -6*z - 33. Let a(p) = -36 + 0*p + b - 2*p + 13*p. What is the tens digit of a(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-3) + 3)*379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 231, 371, 535, 729, 959?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 + 9*k**2 + 209841*k + 231 + 222 - 209841*k - 454.\nAnswer: 23*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2137827137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9 and -76\/2697.\nAnswer: 8091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 931 and 109711?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*c - 3*c. Suppose r - 4*r + 80 = 5*u, -34 = -c*u + r. Suppose 4*l - 56 = 3*n - 19, 3*n = -l + u. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 18. Let h = 4 + x. Let c be 2\/6 + 3 + -4. What is the closest to h in -5, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.2 (c) 5 (d) -3.931\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295064.\nAnswer: 2, 7, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/120 + i**5\/30 + 7*i**4\/12 + i**3\/6 + 2303*i**2. Determine k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-6)*(-7)\/(-42)*-4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 2 - -16394)\/(1\/24). Round f to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*s**3 + 2*s**3 - 218*s**2 + 15*s**3 + 218*s**2.\nAnswer: 94*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77 times 0.4?\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - w - 2*w + 2*w - 15 = 0, 30 = 3*m + 3*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*o = 228, -2*o - 3*o = 4*q - 228. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - (sqrt(44) + 0)).\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3 + b**2\/2 - b - 1. Let k be g(1). Suppose -4*c - 2*l = -30, 2*c + 5*l + k = -2. Solve i = -i - c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112626594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -361\/7, -0.19, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -36335.\nAnswer: -22\/36335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6755 and 5305160?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4421.\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-10 + 6*w + 10)*(4*w**2 + 2*w**2 - 4*w**2).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:33 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 - 16*z**3 + 13*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -762 + 37*w**4 + 762 + (3*w**2 + 0*w**2 - 2*w**2)*(-2*w**2 - 2*w**2 + 3*w**2).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*h**3*l**3 - 31375*h**3*l**2 + 3*h**3 + 2*h**2*l**3 + h*l**2 - 14719*l**3 + l**2 wrt l.\nAnswer: -78*h**3 + 12*h**2 - 88314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i + 1370*i**2 - 1138*i**2 - 134 - i wrt i?\nAnswer: 464*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 4, h: 2, r: 2}. What is prob of picking 1 a, 1 l, and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 160 - 136 = 0. Suppose -3*x - x = -d. 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 the hundred thousands digit of 56027222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 56*l**2 - 13*l - 18. Calculate d(28).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 + 4. Let d be h(0). Solve -d*x = -5*n - 8 - 18, 12 = 4*x + 2*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -165216200 to the nearest one million.\nAnswer: -165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4415030264.\nAnswer: 2, 313, 1763191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = r + 69, 63 = -4*l - 3*r. What is the common denominator of (l\/(-16))\/(30\/(-4)) and -23\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - i - i + 0. Suppose -32 = -d - q - 37, 0 = -q + 1. What is the tens digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 562?\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeneeeneeen. What is prob of sequence een?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 34 in descending order.\nAnswer: 34, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -936 or -940?\nAnswer: -940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:35 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1*-6)*(-40)\/100?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -666\/781 + -4\/71. Let z = 53\/22 + l. Let v = 0.43 + 0.07. Which is the biggest value? (a) z (b) 2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 32*l**2 - 38*l - 2. Let y(a) = 8*a**3 - 62*a**2 - 75*a - 5. Let r(d) = 5*q(d) - 2*y(d). Factor r(c).\nAnswer: 4*c*(c - 10)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 10*u**2 + 27*u - 33. Let b be k(12). Solve -4*v + 2*z = 0, 0*v - b*v = 4*z - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:45 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017429 to 5 dps.\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1471 - 808. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 1\/5, -5, 0.5, -0.06146?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 1 x when three letters picked without replacement from bkbdiaaixiakbai?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793.1574703 less than -1212?\nAnswer: -5005.1574703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111065 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -504, -4, 10 in decreasing order.\nAnswer: 10, 5, -2\/7, -4, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*f + 8*f + 4812 = -419*f + 28599 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2*v**2 - 5 + 4 - 8.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -344.\nAnswer: -3\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490733 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134*y - 2133*y + 7 = 3*g, -8 = -2*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -78 - -60a4c?\nAnswer: 609b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ad472 (base 15) to base 13\nAnswer: 163b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 34. Calculate a(17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {r: 2, e: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(112) - (1 + (sqrt(112) - (sqrt(112) - (sqrt(112) + 1 + sqrt(112)) - sqrt(112))) - sqrt(112)))**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let t(s) = y + 0 - 4 - s - 2. Give t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -243\/5 - -731\/15. Suppose -4*i = i - 5. Let c be 0\/(0 + i) - 1. Do c and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 10*n**2 + 9*n + 16. What is a(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 5*g + 1. Let w be p(-5). Suppose -2*s = 4*i - 0*s - 10, -4*i - 5*s = -25. Is i <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p + 4*p + 4*p. Let k(q) be the first derivative of 0*q + 4 - 1\/2*q**2. Calculate k(z(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = -2*f, -f + 2*r - 5*r + 8 = 0. Let z be (-2)\/f + (-5)\/(-10). What is the closest to 1 in z, 1\/8, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 11. Let m(t) = -t. Determine 4*m(h) + r(h).\nAnswer: -2*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 257 - 233. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008248 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 93072*w + 541399824.\nAnswer: 4*(w - 11634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-294) - (-508)\/(-42). Let a be ((-414)\/t - -2)*14. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*y + 5*l, -476*l + 58 = -447*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 2*d. Is 8\/61 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/35))**40*(h**(2\/19))**(27\/2))**(-48) assuming h is positive.\nAnswer: h**(5520\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28348147\/12951 + 17\/1439. Let l = 4177309\/1908 - c. Find the common denominator of l and -59\/16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-30)*9\/15*(4 - 1). Let z(y) be the first derivative of -s*y**2 - y - 25 - 1\/15*y**3. Factor z(u).\nAnswer: -(u + 1)*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1820\/(-663))\/(-14))\/((-8)\/((-240)\/(-25))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214006107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/120*-63 - 4) + (-1274168)\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33045572 + 2?\nAnswer: 33045574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 43 = 5*w, 1 = w + 3*m + 4. What is the remainder when 24 is divided by ((-6)\/w)\/((-2)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -838*n + 841*n + 23 = -5*g, -n - 17 = 4*g. Let v = 1309 - 7873\/6. Is v less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2*61\/854?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -44. Let s(u) = u**3 - 8*u**2 + 2*u + 4. Let t be s(r). Suppose -13*c - t = -3*c. Sort c, 5, 1 in decreasing order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let h(t) = -t**3 + 6*t**2 - 3*t + 5. Let n be h(5). Let f be n\/(-10) + 9\/2. Which is the second biggest value? (a) w (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 390*v**2 - v - 11. Let h(s) = -195*s**2 + 6. Let l(g) = -5*h(g) - 2*o(g). Let f be l(-6). What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 15 - 19 + 9*i + 37. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1347 + -553. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = -6*i - 67. Let q = i - -46. Suppose w = -0*w + 8. Solve w*r = q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/(-288)*(-1400)\/875*5\/17.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29140*f**3 + 29366*f**3 - 58510*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 3)\/(6\/(-8)). Let j be k\/(-24)*(-4)\/(-15). Do -1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*c**2 - 176*c**2 - 151*c**2 + 502*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by -211.\nAnswer: -420\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 2620*v + 5236.\nAnswer: (v + 2)*(v + 2618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzqq when four letters picked without replacement from {a: 4, q: 3, h: 2, z: 1, c: 4, p: 6}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 + 216. Solve -b + 3 = 5*u + b, 0 = -k*b + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 4*s)*(2 + 2 - 6)*(-3*s + 3*s - s - s - s + s + (-1 + 0 + 2)*(5*s - s - 5*s) - 2*s + 0*s + s - 4*s - 6*s - 4*s).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 40*h + 893. Determine z(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6201587503 and 146807.\nAnswer: -6201440696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.464*-17.297.\nAnswer: 8.025808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -46*b**2 - 4*b - 4. Let t(x) = 22*x**2 + 2*x + 2. Calculate 6*s(l) + 13*t(l).\nAnswer: 10*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 + 157 + -1 + 1 + (1 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168408?\nAnswer: 2, 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -737170, -2948595, -6634288, -11794249, -18428478?\n\"Answer: -737134*j**2 - 23*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560 + 7*o - 560.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-17144169))\/((-15)\/(-18)). Let g = i - 174433755641\/89802790. Let u = g + 1941. Calculate the common denominator of u and -71\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -2\/7, -14, 5043, 1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.925 (b) 0.2 (c) -5 (d) -0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/(-3500))\/((-2)\/60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277161 or -277157?\nAnswer: -277161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -652147 * 5.\nAnswer: -3260735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 (base 7) in base 6?\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-9 - -5 - (0 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9838, -9852, -9854, -9838, -9798?\n\"Answer: u**3 - 21*u - 9818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42522 - -42530. What is the remainder when 2178 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/13 - 43286*i**3\/13 + 2082150*i**2\/13 - 4034434*i\/13 + 1995572\/13 = 0. What is i?\nAnswer: -21691, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -79*r**3 + 80*r**3 + 8 + 0 - 2*r**2. Let x be o(6). Suppose 4*h - 8*h = -x. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:23 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31425 is divided by 1381?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -24*c - 3. Let z be s(-2). Let x = z - 19. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 6:04 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42971.74 millilitres to litres.\nAnswer: 42.97174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnddlnnnd. Give prob of picking 1 d and 1 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573195621*k + 2573195621*k - 3054*k**2.\nAnswer: -3054*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178 + 187. Solve 0 = 54*c - 51*c - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c9b0 (base 14) to base 2\nAnswer: 10001111000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 685912 - 685622.0146. Let q = 290 - h. What is q rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 9, h: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (287\/2)\/7 - 15\/(-10). Calculate the greatest common factor of a and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1097*h**2 + 362*h**2 + 29 - 119 + 90 as b + q*h**2 + j*h and give q.\nAnswer: 1459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (7 + 1)) + 16 - 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caarazrzzazmczcz. What is prob of picking 1 r and 2 c?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -3)*(-1 - -6). Let x(z) = z**3 - 4*z**2 - 3*z - 7. Let w be x(m). Solve 0 = -2*o - w*g, 3*o - o = 2*g + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46397\/29 <= 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**3\/3 - c**2 + 3*c + 1. Give z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4212288a - 0?\nAnswer: 4212288a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -842 - -854. Calculate the highest common factor of l and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 2, i: 4, f: 2, l: 1}. Give prob of sequence il.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(2*v - 2*v**2 + 5*v**2 - 4*v**2).\nAnswer: -2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 48, 19, -44, -153, -320?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-52 - -59) + (1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3731184*y**2 + 3731207*y**2 - 7462401*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 5)*(233 - 3395*v**2 - 454 + 221).\nAnswer: -13580*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 6*r - 1. Let o be q(6). Is (o\/1)\/((-1)\/4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 - 68216.\nAnswer: -67936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 9) to base 2.\nAnswer: 100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -314, -8\/11, -0.19?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = -3*w. Let c(g) = -g**3 + 12*g**2 - 33*g + 12. What is the smallest common multiple of w and c(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 51*s**2 - 56*s + 208. Let j be v(52). Solve -g - 2*q + 3 = j, 0*g = g + q - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18299\/2 + 9590. Let k = r + -440. What is the nearest to k in 4, 0.04, -1, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 111, -30, -2, -3, 3 in decreasing order.\nAnswer: 111, 3, 0, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6))\/3*-14. Let w = -3 + u. Let p be (1 + 6\/(-2))*-6. Calculate the highest common divisor of p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.53506 - 694.02\nAnswer: -665.48494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffasasssaasassssa. Give prob of sequence aaf.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Let i be (-6)\/(-18) - (-10)\/y. Suppose 4*n - 5*n - 15 = -2*g, -2*g - 3*n + 19 = 0. Solve 5*s + 18 = -i*b, 4*b = s - 0*s + g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s - i - 9, 0 = 5*i - 20. Suppose 31*c = -s*c + 925. Let f be 104\/10 + 6\/(-15). What is the highest common factor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:20 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + ((2 + sqrt(153))*6 + 0)**2).\nAnswer: 2592*sqrt(17) + 33936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48986677 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2213634 or -2213636?\nAnswer: -2213636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 498 - 240. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 c when four letters picked without replacement from cvvcvcvcccvcv?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p**(-2\/13)*p*p)))\/p**8)\/((p\/(p**7\/p*p))\/p**(1\/5)) assuming p is positive.\nAnswer: p**(-62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824 is divided by 932?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 35 = -3*q - 2*q, -2*q - 4*j - 4 = 0. Let f(h) = h - 1. Let l be f(q). Let -3*x**l - 5 - 1 - 9*x**2 - 6*x**2 + 3*x**2 - 15*x = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-25))\/((20\/4)\/(-25)). Sort 5, -4, o.\nAnswer: -4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -4*c - 4, -4*o + 2*c = -22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99465940 to the power of 1\/2, to the nearest integer?\nAnswer: 9973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -19*s + 15*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-2)\/(-8)). Let g be 6\/15*(-7 - i). Is g bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/56)\/((-4)\/((-8)\/3))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 445*x**4\/4 + x**2 + 195*x + 351. Find the second derivative of p(v) wrt v.\nAnswer: 2670*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d - -2dc4?\nAnswer: 2d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/4393 - 4386\/30751. Sort -2, -414, -3, q in descending order.\nAnswer: q, -2, -3, -414","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 473.3 + -398. Let g = o + -75. Let z = g - 0.30084. Round z to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-130))\/((-430)\/(-516))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6068, -12131, -18196, -24263?\nAnswer: -30332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 570 or 571?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from {s: 2, x: 2, u: 1, m: 3, g: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:36 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -1\/6, 0.5, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o*o*o\/(o\/(o\/(o**(-1)\/o))))\/((o*o**0)\/o)**(-30)*(o**(-4\/3)*o**(-2\/7))**5 assuming o is positive.\nAnswer: o**(-493\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m + 0*m)*(4*m - m**2 - 4*m) - 502*m**4 - m**3 - 90*m**4 + 94*m**4.\nAnswer: -499*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**5 + 16*t**3 - 35*t**3 + 19*t**3 - 6*t**2 wrt t?\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18069 - 10041. What is the remainder when s is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f + 14330 - 13406 = f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 3, -0.4, 0.2, -10.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12932927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -339571\/20 - -16982. Let p = -98073\/10 + 9816. Find the common denominator of p and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -236477\nAnswer: 22\/236477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**2 - 10*x - 21*x**2 - x**4 + 11*x**2 - 2*x**4 + 2*x**4 + 2 to r*x**3 + j + u*x**4 + o*x + k*x**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 7*b + 7. Let h(t) = t - 1. Let m(q) = -2*d(q) - 14*h(q). Let v(p) = 25*p. Give m(v(y)).\nAnswer: -1250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 140*m + 464. Calculate x(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96.46 - 97.46. Which is the closest to -0.1? (a) 1 (b) -0.5 (c) p (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*p - 18440 + 3955 = 11975 for p.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - 3*p**4 + 4*p**4 + (0*p**3 + 0*p**3 - 2*p**3)*(10 - 3*p - 10).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.24 and 36.451883.\nAnswer: 36.211883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/18 + 5*b**3\/9 - 2*b**2 - 8*b. Find g such that k(g) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -8, 0, 10, 22, 36, 52?\n\"Answer: z**2 + 3*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:11 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzsttzzzczcctctct. Give prob of sequence ts.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/4760*10*4\/3*175.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63650 - 34177. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(22)\/(sqrt(2) + (sqrt(128) - ((sqrt(128) - 1*sqrt(128)) + sqrt(128) + sqrt(128))) + sqrt(2)))**2*-1 - (2*(2*sqrt(99) + -5))**2*-3.\nAnswer: -720*sqrt(11) + 30301\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 11277.\nAnswer: -45108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21.9 and -2.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 633495289 and -0.3.\nAnswer: 633495288.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 3, k: 1, i: 4, n: 4, g: 1}. Give prob of sequence nifg.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1465 + 1487. Solve 57*r + o = 46*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + n**2 - 5*n - 4. Suppose -8 = b + 4. Let q(w) = -10*w**3 - 2*w**2 + 12*w + 10. Give b*o(x) - 5*q(x).\nAnswer: 2*x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*h*w**2 + 196*h - w**2 wrt w.\nAnswer: -34*h*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318947416, -318947417, -318947418?\nAnswer: -318947419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 10 = 38. Suppose -3*k + 2*k - 3*s - 14 = 0, -4*s - 22 = -2*k. What is the highest common factor of k and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88829310 to the nearest integer?\nAnswer: 9425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167348516*b - 9 + 22 - 9 - 4 + 5*b**2 - 167348516*b.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9342678 divided by 3?\nAnswer: -3114226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 914 + 475)*(4*s + s - 2*s)*(s**3 - 3*s**3 + s**3) in the form j*s**4 + f*s + h*s**3 + p + a*s**2 and give j.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 63. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003199202 to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77161, -77114, -77033, -76912, -76745?\nAnswer: -76526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 54*o**2 - 319*o - 5746. Determine c(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/9)\/(u\/(u**(3\/2)\/u))*(u\/(u*u**(-2\/5)\/u))**(-7)*(u**(-2\/5))**(2\/51)\/(u*u**(-1\/4))**(5\/3) assuming u is positive.\nAnswer: u**(-36071\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 2, j: 7}. Give prob of sequence jyjf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58\/3 of a decade?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26674 = 1685*w - 85649 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18\/w**(-27)*w**(6\/11)\/(w**(5\/6)\/w))**(-2\/35) assuming w is positive.\nAnswer: w**(-431\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36987086 is divided by 1887?\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 4965.863?\nAnswer: -4965.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6162205*x**2 + 10569664*x wrt x?\nAnswer: -12324410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 - 13*v + 21. Let h(f) = f**2. Let n(c) = 6*h(c) - k(c). Let g(u) = -u**2 - 8*u - 3. Let d be g(-6). Let b be n(d). Is b at most 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 20. Let p be o(8). Solve i + 15 = 3*n + p, n = -5*i - 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 10. Suppose 8 = 7*o - 3*o. Let b be h(o). Suppose 0*u - b = -4*u. Solve -f + 3*y - 1 = 0, -4*y = -u*f + y - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*q + q + 18, -5*q = 3*m - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 553940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 3*w + 2*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/84*4\/(-10). Which is the nearest to 2\/3? (a) 3 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -41689037507 - -22\nAnswer: -41689037485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*h**4 + 65*h**3 + 35*h**2.\nAnswer: 5*h**2*(h + 1)*(6*h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 0)*(-1 + 1 - 2*j) - 1 - 1 + 4 + j.\nAnswer: -7*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -67369.72 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 + 171 = 14*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 6, f: 4, t: 3}. What is prob of picking 2 o, 1 y, and 1 f?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3890, -3893, -3896, -3899?\nAnswer: -3902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -243 and -2.36825?\nAnswer: 575.48475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 168857106 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7485?\nAnswer: 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22370000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -33961274 smaller than -33961272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2910\/4365)\/(1\/(-9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4 - k**3 - 16*k**2 + 2*k**3 + 19*k + 27. What is the units digit of r(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6845 - 6846. Let t(u) = u**3 + u**2 - 4*u - 2. What is t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 8*o**2 + 2*o + 19. Let u be r(-8). Solve w = -u*w - 4*g + 4, -3*w = 5*g + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 3. Let v(s) = -s**3 - 2*s - 1. Let z be v(-1). Let h be -7 + z - 11\/(-1). What is the highest common factor of n and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 l when four letters picked without replacement from sssslsls?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12)*4401\/6. Let s = p + 8385\/68. Let m = 9605 - 95939\/10. Calculate the common denominator of m and s.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (46 - 53) + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d538 (base 16) to base 11.\nAnswer: 82280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 239 divided by 2461\nAnswer: 239\/2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 869227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 22\/16087 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-16))\/((-1)\/(-6)). Sort -3\/4, a, -7, 0.2 in decreasing order.\nAnswer: a, 0.2, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o + o + 11*o**2 - 3*o + 0*o wrt o?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2215 + 2215. Which is the biggest value? (a) m (b) 3 (c) -2\/9 (d) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 - 276. Let s = 138.44 + y. Round s to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9590728 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**3\/6 + 14*a. Let j be ((-2 + 2)\/(-2))\/2. Let l be r(j). Solve -4*o - 7 + 19 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y + 2. Let l be 1 + 23 + 1\/y. Suppose -3*v - l = -2*b, 3*v + 2*v = -5*b + 20. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994715147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 277a3 (base 16) in base 6?\nAnswer: 3244335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*o - 2853341 = -2834791 for o.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001023552 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 6*w + 5. Let l(u) = u - 17. Suppose 0 = 5*b + 2 + 3, 3*r = b + 25. Let i be l(r). Calculate j(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.508071 millennia to centuries.\nAnswer: 5.08071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**1)**(1\/3))**(21\/4))**(4\/17) assuming n is positive.\nAnswer: n**(14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-36))\/(88\/(-396)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*((p**(-7)\/p*p*p)\/p)\/p*p)\/p))**11*(p**(-5))**10 assuming p is positive.\nAnswer: p**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 + 14.2. Let u = v + -6. Let t = -18 + u. What is the second biggest value in t, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:45 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5 + 120*f**4 - 300*f**3 - 950*f**2 + 2295*f - 1170 = 0.\nAnswer: -26, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, -5, 2\/9, 3\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 211*w + 274. Give h(-69).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - h**4 - h**4 + (-h - 3*h**2 + h)*(7*h + 8*h - 4*h)*(-h + 0*h + 3*h)*(3 - 2 - 3).\nAnswer: 130*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 5*w**2 + 14*w. List the prime factors of p(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247686608 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*f - 93*f - 127*f + 1524700. What is the greatest common divisor of f and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Suppose 0 = -4*s - 0 + 8. Suppose g = -2*c + 2*h + 16, 5*c + 4*h = s*c + 3. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/7 - 54*b**4 - 11016*b**3\/7.\nAnswer: -2*b**3*(b + 36)*(b + 153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 4*k - 5*k)*(-4 + 5 - 4)*(-2 - 2 + 6)*(-2*k**2 + 4*k**2 - k**2) as l*k + s*k**2 + i + n*k**3 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2921280 divided by -255\nAnswer: -11456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 8. What is the remainder when (-2)\/(-4) + (-2)\/((-20)\/35) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 2*g - 19. Calculate l(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 22, -79 in increasing order.\nAnswer: -79, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 + 3 + -2. Is (139*1\/y)\/(1\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1474.000633 + 1474. What is d rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7136\/2035 + 38\/407. Determine a, given that 11\/5*a**2 - m*a + 0*a**3 - 1\/5*a**4 + 8\/5 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2100098 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-10) - 8*(-3)\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*p**4 + j*p**2 + 8886*j - 4343201*p**5 + 147*p**2 wrt p.\nAnswer: 48*j*p - 260592060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -67. Let y(r) = -r. Let c(m) be the first derivative of 2*m**3\/3 - 5*m**2\/2 - 7. What is s*c(j) - 10*y(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5)\/n)\/(n*n*n**(-31))*(n**(-2\/5)\/n)\/(n*n**(21\/2)))**46 assuming n is positive.\nAnswer: n**(3611\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/9 + 24602*d**4\/9 - 517226*d**3\/9 + 3671158*d**2\/9 - 3277472*d\/3 + 739320 = 0.\nAnswer: -12322, 1, 5, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*n*z**3 + 16*l**3*n*z + 4*l**3*z**3 + 4*l**2*n*z**2 - 3*l**2*z**3 - 5*n wrt l.\nAnswer: 6*n*z**3 + 96*n*z + 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-222)*(1845 - 1857)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-169)\/91*(-40)\/26.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**6 + 75*j**5 - 540*j**2?\nAnswer: 720*j**3 + 4500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -8)\/(11\/(88\/12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 549\/5 - 3289\/30. Let j(w) = -5*w - 14. Let p be j(-7). Are p and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*t - 7, -4*n - 3*t + 20 + 8 = 0. Suppose 0 = -3*g + 34 - 10. Let b = g - n. Let f(x) = -3*x + 1. Give f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 - 118*z**2 + 85*z + 360. Let r(b) = -2*b**3 + 56*b**2 - 42*b - 180. Let t(h) = 6*i(h) + 13*r(h). Factor t(m).\nAnswer: 4*(m - 3)*(m + 3)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w + 13. Calculate l(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1865, -1867, -1869, -1871, -1873?\n\"Answer: -2*c - 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.097, 139\/2, -1\/7, -2 in decreasing order.\nAnswer: 139\/2, 0.097, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*((-28)\/140)\/(8\/(-30)*-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 25, -2, -63, -170, -335, -570?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 8. Let k(b) = b**2 + 3*b + 3. Let h be k(-3). Suppose 5*g + 4*z + 22 = 0, 2*z = -2*g + h*g - 4. Let c(y) = 1. Determine g*t(v) + 14*c(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23501 + -23591. Is i equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d - 30*d + 63*d + 446*d**2 - 4*d.\nAnswer: 446*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 4*r + 10, 4*l - 8 = r. Do -2 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/11 - 392*u\/11 - 5880\/11 = 0?\nAnswer: -14, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 412*x - 3303 + 3303 to the form r*x + i and give r.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 9*o - 2*o - 7*o + 1. Suppose -6 = 2*m - 5*m. Let d(q) = m*q - 5*q + 5*q - 3*q. Calculate d(z(i)).\nAnswer: 21*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - 2*a + 20*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 49*n + n**3 + 997 + 48*n.\nAnswer: n**3 - n + 1154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - -9) + (-1 - -21). Suppose -2*v + 133 = q. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*d + 8, 4 = -d - d - p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 64*n**2 + 50*n - 1474. Give o(32).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/14 and -43\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 2*n**2 + 5 - 9*n + 5. Suppose -34 = -5*p - 2*t + 8, -5*t = 2*p. Does 8 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32186 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 364*k**5 + k**3 - 221*k**5 + (2*k**3 + 2*k**5 - 2*k**3)*(14 - 7 + 4).\nAnswer: 165*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - (130 - 83 - -53).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 3*p + 1. Let c be g(-2). Let u(w) = -2*w - 11. Let z be u(-8). What is the second derivative of y**3 - y + 3*y - y**c - 5*y**z wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13939224, -27878450, -41817676?\n\"Answer: -13939226*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -610192 - 11*k**3 + 4*k**3 + 610192 + k**2. Calculate j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*(sqrt(50)*1 + sqrt(50))*-4)\/(-1*sqrt(490)*-6 - (-5*((sqrt(490) - sqrt(490)*-2) + sqrt(490)) - sqrt(490))))**2.\nAnswer: 8000\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9779, -19519, -29259, -38999, -48739?\nAnswer: -58479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*d + d. Let m(c) = c + 27. What is the remainder when m(0) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 21*u + 5. Let k be -8 + (-3)\/6*4. Determine v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452663 + -2 + 368\/16 + -13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwwwkkdwdwdddwkikdk. Give prob of picking 1 i and 3 k.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1732 and 4.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-6)\/(-9))\/1)\/((-5)\/(-30)). Suppose -3*w + 3151 = k - 0*k, s*k + 8 = 0. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 104969?\nAnswer: 104966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:46 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29407728?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) 2\/7 (d) 85501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + d**2 + 1 + 2*d**2 - d**2 + 0*d**2 + (-5*d - 2*d + 5*d)*(2*d + 15 - 15) - 4*d**2 + 5*d**2 + 5*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5090\/(-130) - (-2)\/13. Let g = 71 + h. Suppose 5*l + 8 = -3*r, -14 = -r + 4*l + 6. Calculate the highest common factor of g and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 5, x: 5}. Give prob of picking 2 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxiiixx. What is prob of picking 3 i and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3212*v + 0 + 3 + 2249*v - 6.\nAnswer: -963*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*(550\/(-77))\/(1\/(-14)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6*p - 44 = p + 8*p - 5*p, p + p = 2 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45012, -89914, -134816, -179718?\nAnswer: -224620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8938, 8941, 8948, 8959?\n\"Answer: 2*c**2 - 3*c + 8939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-87)\/174*(-1 + -41). Suppose 4*z + 3*d - 23 = 0, -4*d - 1 = -x. Suppose 2\/3*w**z - 4\/3*w + 2\/3 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 5.94. Let s = q - 5. Which is the nearest to s? (a) -0.4 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:51 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*a**2 + 21 - 21)*(105*a**2 + a + 41*a**2 - 30*a**2).\nAnswer: 3944*a**4 + 34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 50*y - 133*y - y**3 + 54*y + 22*y**2 + 4 + 6. What is the units digit of w(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -131, 4 in increasing order.\nAnswer: -131, -4, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110823688.\nAnswer: 2, 193, 71777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*u = 3*u + 26, 0 = -t - 2*u. Let b be (-9)\/(-6) + 3\/(-2). Let k be 3 - b\/(12\/t). Solve 0*r + k*r + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8270811 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g + 2. Let q be m(5). Which is the smallest value? (a) q (b) 0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/12)\/(37\/4). Is s bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 0 - (-4 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 566 and -0.1021?\nAnswer: -57.7886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17290534 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -1\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(2\/7))\/r)**13\/(r**(-2\/21)*r**(-3)*r))\/(r**(-2\/5)\/((r*r*r*r*r\/(r\/r**(1\/9)))\/r)*(r\/(r\/r**(1\/2)))\/r**(-1\/8)) assuming r is positive.\nAnswer: r**(54673\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1310, -1350, -1390?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2. Let a(s) = -s**2 - 48. What is u(a(r))?\nAnswer: 6*r**4 + 576*r**2 + 13824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 158*h - 88. Let o(v) = -v**2 - 79*v + 44. Let i(d) = -3*c(d) - 5*o(d). What are the prime factors of i(-22)?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(9\/(648\/(-12))*-9*32\/240).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 38, -0.4, 0.06, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350736 is divided by 350721.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Suppose 16 = -7*p + 15*p. Give u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24 and -0.08057.\nAnswer: -24.08057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(30\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1093, 1291, 1629, 2113, 2749?\nAnswer: 3543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**3 - 4*t**3 - 3*t**2 + 3*t**3)*(77*t + 6*t + 37*t) to the form x + u*t + o*t**4 + k*t**3 + i*t**2 and give k.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from {i: 2, v: 1, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2 + 4. Solve 2*p = p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.64 plus 90350904?\nAnswer: 90350919.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 50565 = -3*o, 5*y - 33032 - 17573 = -3*o. What is o rounded to the nearest 100?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*s**2 + 49*s**2 - 12*s**2 + (4*s - 2*s - 4*s)*(-4*s + 3*s - s) + (2*s + s - 2*s)*(5*s + 3*s - 7*s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 2, h: 1, t: 2, m: 1}. What is prob of sequence ro?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) 41 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/84 and -49\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174894 or 7870252\/45?\nAnswer: 7870252\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3416 and 26.\nAnswer: -88816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(1\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6312*y = -8136*y - 613*y + 828355 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(2 + sqrt(500)) + 4 + 2*((0 + sqrt(500) - sqrt(500))*-6 + 1*(sqrt(500) + 1)))**2 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-1 - 2 + 4) - 3 + 2 + 3 + 30 + 118 + 26)*(4*k - k + 0*k).\nAnswer: 531*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195 - 63 - 63 + 612*r - 66 to s + i*r and give i.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 112. Let n = -29 + u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.1. Let g = 8.5 - -0.5. What is the second biggest value in 1\/7, d, -3, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 15*u - 13*u - 54, -3*z - 2*u = -43. Let t(r) = -2*r + 1. Calculate the lowest common multiple of t(-5) and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l**2 + 4*l + 6. Let q = 323 - 330. Let i(k) = 6*k**2 + 2*k + 3. Determine q*i(a) + 3*t(a).\nAnswer: -3*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 3, o: 5, v: 1}. Give prob of sequence ijjj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y**2 - y**2 + 3*y**2)*(-31*y + 70*y - 4*y)*(-13 + 13 - 63*y) as w*y**2 + h*y**3 + o*y + z + a*y**4 and give a.\nAnswer: 11025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3382.34 times -1.9\nAnswer: 6426.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (-6 + 10) - (-142 - -154) - -122.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((216\/16)\/27)\/(1\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*o - 1330*o = -360 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/136680782 and 57\/107392043.\nAnswer: 1503488602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 605 = -3*y, 4*h - h + 4*y - 392 = 0. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -13.4 (b) -1\/5 (c) 0 (d) -2\/3 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/30 - 5*l**4\/24 + 2*l**3\/3 + 4*l**2 - 14*l. Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -248, -328, -390, -428, -436, -408, -338?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 179 - g + 226 - 55.\nAnswer: -g - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w + 2*p + 86108149, 0 = 4*w + 5*p + 114810877. Let u be (18802715 - 2)\/(-1 + 0). Let b = w - u. Round b to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 6*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (2 + sqrt(85)\/sqrt(5)) - (sqrt(119)\/sqrt(7)*-3)**2.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 2. Let u(l) = -2*l + 2. Let f(z) = 28*z - 98. Let h be f(-19). Let x be 146\/(-36) - 35\/h. Determine x*n(s) - 5*u(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 30072178 divided by -10\nAnswer: -15036089\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -5, 3, 79, -13 in ascending order.\nAnswer: -13, -5, 3, 79, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + f + 2*f - 2*f as v + n*f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/11 - 15222*p**4\/11 - 717895*p**3\/11 + 3848200*p**2\/11 - 6291036*p\/11 + 3175952\/11 = 0?\nAnswer: -52, 1, 2, 15269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 8628*m**4 + 33690*m**3 - 2221428*m**2 + 4307259*m - 2128152 = 0.\nAnswer: -2872, -19, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*9\/3)\/(7*8\/(-56))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -51, -15?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q + 0*q**3 + q**3 - 18*q**2 - 3*q**3 + 12*q**2. Let f(t) = t**3 + 7*t**2 + 8*t. What is 4*f(z) + 5*j(z)?\nAnswer: -z**3 - 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x + 2 + 1\/2*x**2 - 4\/3*x**3 + 1\/4*x**4. Let v(r) = -2*r - 4. Let k be v(-4). Calculate i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -10*b - 17*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 + -54. Let z = s - 135. Suppose -117 = -j + 5*o - 10, 491 = z*j + o. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 150005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 83 = 3*o, -4*t + 133 = -3*o - 18. Put -3, t, 4 in decreasing order.\nAnswer: t, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by -2.\nAnswer: -157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, -1, -5 in descending order.\nAnswer: 3, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -921 divided by -1\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = 14*n + 13*n - 3*g - 0*g - 11, 2*n = -17*g - 89 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 2, l: 1, m: 1}. Give prob of sequence rml.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(891) + 1 - (2 + -4*sqrt(1100)).\nAnswer: 2 + 49*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6434616 meters in nanometers?\nAnswer: 643461600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = v - 1287. Let q = v + -138. Let c be (21\/6)\/(1\/6). Solve 3*g - c = q*k, -3*k + 8*k + 3*g = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*a**3*i - 56*a**2*i + 3*a*i + 133*i - 18 wrt a.\nAnswer: -180*a**2*i - 112*a*i + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55259505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*3)*3*-4)\/(sqrt(20)\/(3*sqrt(2)*3)).\nAnswer: -432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20 + 22 = 0. Let d be ((-4)\/y)\/((-5)\/(-70)). Let r be (-1)\/(-4) - 39\/(-4). Calculate the greatest common divisor of d and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(3\/(-27))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2841 - -2703.3. Round q to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6878)\/76*16\/(-2).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 19813\nAnswer: 15\/19813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 196. Let p(y) = 4*y. What is g(p(i))?\nAnswer: 16*i + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.28, 184\/17, -2\/5, -4, -1\/3, -0.03, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*j**4\/5 + 286*j**3 + 1376*j**2\/5 + 384*j\/5 = 0. What is j?\nAnswer: -3, -8\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 574 + c**4 - 570 + 4*c - 4*c**4 - 2*c**4 to u*c**3 + o*c + r*c**2 + d*c**4 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = n, 5*j = 2*n + 3*n + 30. Let k(s) = 23*s**3 + 3*s**2 - 3*s + 4. What is the hundreds digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, f: 4, u: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:18 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 859931890 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 + 23430 - 23430 + n - 3*n + n. Give y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49551 - -163\nAnswer: -49388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6560 and 9922?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-84)*(-35)\/40*1.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23632 divided by -844\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 - 200. Sort -0.05, m, 5.\nAnswer: m, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*w - 3 + 3*w + (-54 - 16*w - 3*w + 55)*(0 - 1 + 0).\nAnswer: 20*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((4\/(-24))\/((-1)\/(-9))). Suppose -2*l = y + 47, 10*y = 2*l + 5*y + 53. Let d be l\/(-10)*30\/4. What is the highest common factor of b and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12*l = -802130000, -x + 21*l + 160426000 = 19*l. What is x rounded to the nearest one million?\nAnswer: 160000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let p(l) = -3*l**2 - o + 0*l**3 + 2 + 2*l**3 + 2*l. Suppose 14 = 2*r + 2*a, 0 = 2*r - 5*a + 19 + 2. Determine p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhoouooqxuqohqhqqx. What is prob of picking 3 q and 1 o?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 13*y**4\/8 - 3*y**3 - 2*y**2. Let f(u) be the second derivative of 11*u**3\/6 - 5*u**2\/2 + 62*u. Calculate 5*c(z) - 18*f(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 2, 2340, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1740\/(-50))\/(603708\/(-68979) - 0). Let b = -2\/107805 + m. What is the common denominator of 61\/18 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {i: 5, d: 1, u: 1, f: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - (2 - 10\/2). Round s to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 6 - 5 - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 52 = -2*z. Let n(o) = o**3 - 14*o**2 + 20*o - 24. What is the units digit of n(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33691388*b**3 - 45034*b + 76 wrt b?\nAnswer: 202148328*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.96459 centimeters in micrometers?\nAnswer: 939645.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10376 + 17?\nAnswer: -1035a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k - 108*k - 31*k + 4*k - 49*k as h + s*k and give s.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaoaaa. Give prob of sequence ooaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**1\/m))**24*(m**0)**(1\/13)*(m**0*m**(-3))**(-1\/5) assuming m is positive.\nAnswer: m**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 7 + (-6 + -2 - (-7 - -2)) - -33.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 216, 257, 300, 345?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/9)\/(6\/(-27)). Let u be 2\/(3*(-1)\/p). Let m = 34.6 + -35. Which is the nearest to -1\/4? (a) m (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 + 45 = 4*i, -5*a + 5*i = 160. Suppose 9*x + 85 - 58 = 0. What is the units digit of ((-56)\/(-16))\/(x\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357765 is divided by 1084.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/4 (b) -28 (c) 11 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/6 - ((-50)\/(-15))\/10. Solve 2*w = s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 2*t**4 - 56*t**3 - 208*t**2 - 304*t - 160.\nAnswer: (t - 10)*(t + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30843712 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q - 3*x - 0, x + 4 = -5*q. Solve -5*p - 24 + 24 = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*m - 22. Solve 0 = m*a - a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100679727173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/20 + -7\/4. Suppose -428 - 124 = 2*w. Let l = w + 3034\/11. What is the biggest value in n, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9056*i**5 + 3*i + 7729 wrt i?\nAnswer: -181120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23408.49 centuries?\nAnswer: 28090188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 5*z**4\/12 + z**3\/6 + z**2\/2 + 3*z. Let h = 64 - 48. Suppose h*i + 3 = 13*i. What is q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.5 + -12. Let o = a + -5. Let z = -5904\/161 - -850\/23. What is the nearest to 1 in o, 0.04, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**3\/7 + 6492*f**2\/7 + 261596*f\/7 - 6342972\/7 = 0?\nAnswer: -1581, -59, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87863600?\nAnswer: 2, 5, 11, 19, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81*(8\/3 - 2). Suppose 0 = -5*v + 2*v + b. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76613, 76653, 76755, 76949, 77265, 77733, 78383?\n\"Answer: 5*c**3 + c**2 + 2*c + 76605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, -4, 6, -0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 308432455 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/24 - 11*f**3\/6 + 12*f**2. Let a(s) = 1. Let l(x) = 5*a(x) + j(x). What is l(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776311800 rounded to the nearest 1000000?\nAnswer: 3776000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775540 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*r - 662019 + 89034. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71044*u + 71045*u + 71048*u + 71048*u + 71052*u + 71050*u - 426281*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.779 + -0.221. Let g = -8 - o. Let x be 36\/(-20)*5\/(-15). Which is the nearest to g? (a) x (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 6*u - 13*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 716 in 0.5, 2\/3, -92?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 342. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -0*m - 17*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570973708.\nAnswer: 2, 41, 337, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15591450, -15591455, -15591460?\n\"Answer: -5*y - 15591445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4680 and 1651338.\nAnswer: 33026760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -3103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 2. Let t(l) be the second derivative of -l**3\/6 + 6*l - 2. Give -2*t(j) - x(j).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + m - 2*m**2)*(-7 + 1 + 29) + (27*m - 8*m - 12*m)*(0 + 0 - 2*m) to the form v + a*m + s*m**2 and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*i - 11*i - 84*y + 78, 7 = 3*i + 8*y - 10*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - f - 1 - 2*f)*(-15*f - 83 + 83).\nAnswer: -45*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 q when four letters picked without replacement from rqrqrqqqrr.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 149*m**2 + 170*m + 5. Let p(w) = -w. Give y(p(s)).\nAnswer: 149*s**2 - 170*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 103*t**2 + 253*t + 584. Give h(-105).\nAnswer: -3931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305 + 306. Which is the third biggest value? (a) m (b) -0.03 (c) -1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 + -2176\/9. Let j = 2.2 - 4.2. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913936 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}