diff --git "a/data/dm_maths/full_data/10099_11255.jsonl" "b/data/dm_maths/full_data/10099_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10099_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(i) = -5*i**2 - 26*i + 26. Calculate t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535884, 535624, 535364, 535104?\nAnswer: 534844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (193 + -6 + 5)*110\/(-6). Calculate the common denominator of -31\/112 and (-8)\/(-88) - (-1398)\/s.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/17)*a)\/(a\/a**(7\/2)))\/((a\/(((a\/(a**(-5\/6)*a))\/a)\/a))\/a**(-3\/4)) assuming a is positive.\nAnswer: a**(107\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqqsqxxqqxlysxsxxs. Give prob of sequence qx.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let n = 544 - 527. Suppose n*l = 3*l + 14. Put z, l, 0 in decreasing order.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2. Let q be z(1). Solve -5*v + q = -k, 0*k - v - 5 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)\/(sqrt(35)\/sqrt(5)))\/sqrt(7))**2 + 5 - (4*(sqrt(147) - (-4 + sqrt(147) + -2 + sqrt(147)) - sqrt(147)))**2) + 4.\nAnswer: -9972 + 2688*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1470\/18*7734\/180460?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 13\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 646 = -5*w, -8*w + 3*w + 1352 = 4*h. Suppose 133 + 101 = -9*v. Let p = h + v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -70 - 2598*f**2 + 51 + 2597*f**2 + 20*f - 70. Give j(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + ((2*sqrt(4840) + sqrt(4840) - sqrt(4840))\/(-1*sqrt(200) - sqrt(8)))**2 + 1)*3.\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 25. Let j be w(-9). Let v(z) = -2*z**2 + z + 3. Let s be v(j). Let k(x) = -3*x**3 - 17*x**2 - 3. Does 17 divide k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aikk when four letters picked without replacement from ikkoqfiaqakfqoq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/24 - 5*u**5\/6 + 685*u**4\/24 + 255*u**3 - 344*u**2 + u. Factor o(d).\nAnswer: -5*(d - 9)*(d + 2)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffllfffvfvvv. What is prob of picking 1 l and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2271780, -2271856, -2271922, -2271972, -2272000, -2272000, -2271966?\nAnswer: -2271892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 322 - 2087. Let m = j - -419. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*l**5 + c*l**3 - 98*c*l**2 + 13*c + 59*l**5 wrt l?\nAnswer: 120*c*l**2 + 6*c + 3540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*v + 378*v = -2100. Let i(u) = 47*u - 1. Let z be i(3). Calculate the greatest common factor of z and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36678174 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/2681, 5\/3, 30, 1\/4.\nAnswer: -2\/7, -2\/2681, 1\/4, 5\/3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193 + (-124 - -53) - 92?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:29 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -677\/10 - -135\/2. Which is the second biggest value? (a) -0.1 (b) s (c) -0.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57001298949 + -30289055201. Let t = s + -26712243971.99999911. Let w = t + 224. Round w to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 531 + 182 - 484)*(-h**2 - h**2 - h**2)*(-7 - 3 + 4) as a*h**2 + i + c*h and give a.\nAnswer: -14724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*l = -669*l + 75*l + 18960 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, -1\/714735 in decreasing order.\nAnswer: -1\/714735, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 - 1 = 0. Let q be (-19)\/4 + 2 + 2. Is q <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 7, m: 5}. What is prob of picking 3 w?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 6. Let o be y(6). Solve 3*k + k + 8 = o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 + 1770 = 78*b - 207 - 1605 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9470*c + 767070. Calculate a(81).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -13, 63 in ascending order.\nAnswer: -13, -4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -27 + -3 + 18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 255 (b) 1.8 (c) 2\/3 (d) -3 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30302? (a) -0.9 (b) -1\/3 (c) 1\/4 (d) 1\/9 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 314\/21?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)*(11 + -12). Suppose x = 10*c - 5*c - 180. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394498367 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 5*p - 5. Let v be k(-6). Let g be ((-2)\/4)\/(v\/(-6)). Let c be (-116)\/(-6) - (-2)\/g. Solve -c = -0*n + 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 - 6*x**2 + 2*x. Let i(g) be the first derivative of g**4\/4 - g**3\/3 - 21. Give -4*i(w) + v(w).\nAnswer: w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 13057*g**5\/20 + 13*g**4\/12 + 125*g**3\/6 - 5962*g. What is the third derivative of x(r) wrt r?\nAnswer: 78342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 55283317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 21*b**2 + b - 1. Let k be n(1). Does 11 divide 1 + (-5)\/((-5)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116630443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.67 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1163*a + 1135*a = -1456. Sort a, 12, -5 in decreasing order.\nAnswer: a, 12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27937 + 2122 = -5*z. Let s = -3188 + z. Is 28 a factor of 1\/4 + (s\/20 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9350214 a multiple of 1146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -77. Let q be (18 - 15)*(-5)\/((-2)\/(-2)). Let d = q - o. Solve 4*w = d + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -34 - ((-39)\/(-36) - 1 - 70\/120). Let k be (10\/(-8))\/((-1)\/(-28)). Is c != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 46 = -2*y + 14, -65 = 5*y - 2*x. Suppose -44 = -0*l - 2*l. Let m = l + y. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2*y**5\/15 - y**4\/6 - 14*y**3\/9 + 13*y**2\/3 - 4*y - 61. Let d(s) = 0. Calculate s.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -5*i**4\/12 + 13*i**2\/2 + 214*i + 160. Let g(r) be the first derivative of o(r). Let v(h) = -2*h. Determine g(v(u)).\nAnswer: -20*u**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 - 5*b**3\/3 - 8*b**2 + 20*b. Let d be g(-8). Solve -3*t + 9 + 3 = d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 39\/(-9))\/((-1)\/(-111))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1306, 5349, 12090, 21523, 33642, 48441, 65914, 86055?\n\"Answer: -j**3 + 1355*j**2 - 15*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473123?\nAnswer: 7, 67589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Let s = m + -4. Which is the third smallest value? (a) 1 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, g: 3, r: 2, u: 2, a: 1, z: 1}. What is prob of picking 2 r, 1 u, and 1 a?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 3*m**2 + 6*m + 318. Let v(l) = l**3 - 2*l. Let w be v(-2). Let d(a) = -a - 1. Give w*d(h) - r(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -46453860*1\nAnswer: -46453860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33539, -67040, -100501, -133922, -167303, -200644, -233945?\nAnswer: -267206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 191*t - 787. Let j be a(7). Is j less than 552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p**(-1\/5))**(10\/7) assuming p is positive.\nAnswer: p**(2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (189\/(-45))\/(9\/(-15)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -591 times 170527\nAnswer: -100781457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 - 12 + 12)*(2 + 1 + 15)*(1 + 1 - 3).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1359 + -1379. Let o be (44\/k - -1)\/(4\/(-10)). Let 0 + z - z**2 + 1\/4*z**4 - 1\/4*z**o = 0. Calculate z.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + -4 + 2 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122072, 122074, 122076?\n\"Answer: 2*i + 122070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = -10*b + 1050. What is the remainder when b is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44218.0005 rounded to the nearest 10?\nAnswer: 44220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 - 345.98. Let w = m - -2.98. What is the third smallest value in w, -1\/7, -18, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18284704051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/6 + 41*j**3\/6 + 15*j**2\/2 - 1816*j - 2. Calculate m(-18).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-1 - (-52)\/(-60)). Let j = -0.2 + 0.4. Which is the biggest value? (a) h (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15998 - -15998. Let q be (-20)\/(-18)*42\/(-4). Let d = q + 23\/2. Put 0.5, 4, y, d in increasing order.\nAnswer: d, y, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - sqrt(144)) + -5*(sqrt(17) - sqrt(68)) - 1*(-6*(3 + sqrt(17)*-1))**2)*4.\nAnswer: -3744 + 2648*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2483 + -121669\/49. What is the second biggest value in -0.3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 + x + 4. Calculate b(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 820006 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10683 is divided by 976.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976575907.\nAnswer: 89, 181, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-31)\/8)\/1 + (-130)\/1040. Sort b, -12, -1, 4 in descending order.\nAnswer: 4, -1, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 66 in ascending order.\nAnswer: 0, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2103731316.1 and -399.\nAnswer: 2103730917.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 2*s + 2. Let a(k) = 2*k**3 - 2*k - 3. Suppose 4*f = 5*u - 2, -3*f + f + 12 = 4*u. Let g = 1445 - 1442. Give f*a(t) + g*b(t).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -23, 14, -1\/4 in descending order.\nAnswer: 14, 2\/3, -1\/4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 279 + 302 = c, 2*c = 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*t - 57, -6*w + 62 = -4*w - 2*t. What is the highest common factor of w and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137, 291, 555, 935, 1437, 2067, 2831, 3735?\n\"Answer: v**3 + 49*v**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, n: 6, b: 2}. What is prob of picking 1 b and 2 z?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = o, -3*w + 2*o + 1 = 3*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42240 divided by -4.\nAnswer: 10560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.84, -38\/5, 110.\nAnswer: -38\/5, 0.84, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**18\/(k*k**(1\/4)*k)**1)**(1\/19))**(-2\/109) assuming k is positive.\nAnswer: k**(9\/4142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322 + -322.5. Which is the closest to 2? (a) 0.5 (b) -0.31 (c) s (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86930 is divided by 104.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1418 divided by -171\nAnswer: 1418\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/403 - 1465\/25792. Let k = -97\/704 - v. Sort 0.2, -2, -2\/9, k.\nAnswer: -2, -2\/9, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42541)\/55 + (-96)\/120. Let o = s + 775. Suppose -16\/11*u + 2\/11*u**4 + 12\/11*u**3 - o*u**2 + 0 - 2\/11*u**5 = 0. Calculate u.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = 4*h, -3*q + 24 = q + 4*h. Solve 0 = -3*s + 3*x + q, s + 2*x = -2*s - 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -0.156 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4819734.874 and -0.08?\nAnswer: 4819734.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -628261891 at most -628261891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 30456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 21*r - 133. Let j be k(7). Solve 0 = 4*n - 0*q - 2*q + j, -q = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2026 divided by 191.\nAnswer: -2026\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040937 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 1\/5 (c) -0.1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86012 (base 9) in base 4?\nAnswer: 31320221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -336*w + 327*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 18. Let s be p(-9). Let h = -4 + 11. Suppose 3*y + 20 = h*y. Sort 4, y, s in descending order.\nAnswer: s, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 5 + 5 + (-2*r - 6*r - 6*r)*(4 - 2 - 3) in the form i*r + k and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acaacaacacca. What is prob of picking 3 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*p = -33145, 5*d - 27096 - 6053 = -4*p. Is d a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 14) + 3 + -5. What is the third biggest value in -5, 1, -0.1, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10044)\/2835*(-14)\/4)\/((-18)\/45)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212112687\/20 - 10596286. Let x = v - 9345. What is the common denominator of -107\/14 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -4 (c) -12 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {e: 1, u: 14, n: 2}.\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = -2*o + 28, 3*g = -5*o - 6. Let v be (-10 + 1)*g\/21. Suppose -v*n + 12 = -6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 18 = -3*w, -2*q + 2*w - 2 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5445) - sqrt(5445)*-6)*-3 - sqrt(5445))\/(6*sqrt(729)*6).\nAnswer: -121*sqrt(5)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**2 + 5*v. Let b(x) be the third derivative of x**5\/12 + x**4\/12 - 12*x**2 + 107. Let d = -3 + 5. What is d*n(p) - 5*b(p)?\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from cckkickicikcccii.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 27*f + 82. Let g(h) = 4*h**2 + 29*h + 82. Let w(n) = -3*d(n) + 2*g(n). What is the units digit of w(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 5\/(-15))\/(1\/(-162)) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 827 = -34. List the prime factors of y.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212 and 2272.\nAnswer: 120416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.8 (b) 12 (c) 1\/2847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20342441 - 2?\nAnswer: -20342443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982000 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.39. Let j = o - 0.21. Let q = -0.3 - j. Put q, 5, -0.2 in decreasing order.\nAnswer: 5, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 22*g + 2. Does 25 divide o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**3\/3 - 2*m**2 + 7*m + 3. Let q be k(-5). Let l be (2\/(-4))\/(2\/(-4)). Solve 3*x + y = 20, -q*y = -3*x - l + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352113 (base 6) to base 2\nAnswer: -111011001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 0, 135, 4, -6 in increasing order.\nAnswer: -9, -6, 0, 1, 4, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 181030960.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1678 and 221566?\nAnswer: 185893874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 345, 308, 271, 234?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 7:44 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 89531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*k - 350*k - 12166 - 18091 = -489 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:04 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2 - 3*g + 0*g**2 + 0*g**3 + 1\/12*g**4. Let f(v) be the first derivative of q(v). Let t(h) = -h. What is f(t(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:44 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17136 and 54?\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20876 - -41380. Suppose -27*u = -5*u - y. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 13 - -3) + 2. Let z(b) = -b**2 + 2. Let s be z(-2). Put s, 2, u, 4 in ascending order.\nAnswer: u, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from uuuuuudd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2953*f. Let g(x) = 11013*x - 2. Determine g(s(p)).\nAnswer: -32521389*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 0 (c) 2.92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(612)*-1 - sqrt(612)) + -4*(sqrt(612) + -1) - 1*(sqrt(612) + -1)*1)**2.\nAnswer: -900*sqrt(17) + 137725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(250))**2 - (1*sqrt(98))**2.\nAnswer: -2448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(24*(-18)\/(-8064)*14\/48).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*g - 176417 = 3954*g - 1040*g + 32944 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13807, -13869, -13963, -14089, -14247, -14437, -14659?\nAnswer: -14913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 17) + 0 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 + 18*k**2 - 5*k + 152. Let q(x) = x**2 - x. Let g(v) = -5*q(v) + u(v). What is the first derivative of g(c) wrt c?\nAnswer: 24*c**2 + 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 4*k**2 + k**2)*(-2*k**2 + 2*k - 2*k)*(4*k - 3*k - 3*k).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 + 2*f - 8. Let n be k(6). Let j(m) = 3*m**2 - n*m + 4*m. Let y(c) = 2*c + 10 + 12 - 22. Calculate y(j(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 182483278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 5 + 3*y - 3. Let c(p) = p + 4. Let u = -9 - -5. Let k be c(u). Calculate a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from {o: 3, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-27) - 143\/(-3). Suppose -4*w - 2*x - u = x, -w - 5*x = 33. What is the common denominator of -20\/11 and 0 + 150\/w - 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155135 divided by -31027.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-115*f - 85*f - 58*f) + (-2 - 1 + 4)*(-f - 4*f + 7*f).\nAnswer: -256*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 35. Suppose -4*v = 4*k + 48, 4*k + 11 - 19 = 4*v. What is g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 11346?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3 - 1881*g**2 - 1179387*g + 1475. Find n such that z(n) = 0.\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w - 20. Suppose -14*f + 9*f - 4*c = 1, 3 = -5*f - 2*c. Suppose 0 = d + d - 2. What is the closest to f in 8, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 8*u + 14. Let j be g(5). Suppose -5*o + f - 64 = -10*o, 5*o - 5*f - 40 = 0. Calculate the greatest common factor of j and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 4*b - 2. Let v = 17 - 12. Let j be m(v). Suppose 2*d - 3*x = j, 4*x - 5 = -d - 0*x. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299848*u**2 + 1442925*u**2 + 296959*u**2.\nAnswer: 1440036*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-44)\/(-3))\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280144481 to the power of 1\/2, to the nearest integer?\nAnswer: 47751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.19 (b) -9 (c) 30 (d) -1\/7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0 (c) 6 (d) -0.0284 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 - -0.208. Let k = 46\/3 - 15. What is the biggest value in k, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1812 + 1816. Solve 5*o + 21 = w*j, -4*j - 4*o - 22 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:45 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q = -466*q + 16499112. What are the prime factors of q?\nAnswer: 7, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -34. Let y = 15 - b. Find the third derivative of 8*j**2 + 9*j**2 + 14*j**4 - y*j**2 + 10*j**2 wrt j.\nAnswer: 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1149*-303078\nAnswer: -348236622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*r = -5*r - 253, 0 = -3*r - 3. Suppose 5*q + m = v, -7*m = -4*m. Suppose 0 = o + 3*o - 80. What is the smallest common multiple of o and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/m**(-1\/6)*m\/(m**(-3)\/m*m)*m*m*((m\/m**1*m*m)\/m)\/m assuming m is positive.\nAnswer: m**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2618 (base 13) in base 11?\nAnswer: -4096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 390*a**2*t**4 - 11*a**2 - a*t**3 + 6*t**5 - 718*t**2 wrt t?\nAnswer: 9360*a**2*t - 6*a + 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 2*z + 5 = 9*p, -z - 17 = 4*p. Let q(h) = h**2 - 2*h - 9. What is q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*q**3*z**3 - q*z**3 - 1107*q + 168705*z**3 wrt q?\nAnswer: 27*q**2*z**3 - z**3 - 1107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 632*v**3\/5 - 248*v**2\/5 - 226*v\/5 + 96\/5 = 0. Calculate v.\nAnswer: -48\/79, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 409, 414, 427, 454, 501, 574?\n\"Answer: s**3 - 2*s**2 + 4*s + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2386456 minus -943951?\nAnswer: 943939.7613544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6236129 to the nearest ten thousand.\nAnswer: -6240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4469216100 to the nearest integer?\nAnswer: 66852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -43.5. Let k = 4.54 - s. Let t = 0.011 - k. Round t to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1100) - (sqrt(1100) + 2 - sqrt(1100))) + 5 + 5 + sqrt(5324)*-2 + sqrt(5324).\nAnswer: -12*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 7004 = 3*t + 6975, -4*l + 2*t - 26 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((26\/2098)\/13) is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11441.\nAnswer: 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(272)*3 + 4)**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-27)\/63)\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396))*-2 - (sqrt(1100) - ((sqrt(1100)*1*-1)**2 + sqrt(1100))).\nAnswer: -12*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, c: 3, x: 6}. What is prob of picking 1 x and 3 d?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63376, -506928, -1710862, -4055368, -7920636, -13686856?\nAnswer: -21734218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 32*i**2 + 4*i + 32. Let v be x(16). Suppose 117*r - 109*r = v. Calculate the greatest common factor of 20 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 137 = 2*t, -3*t + r + 203 = -0*r. What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3136) - sqrt(3136)*-1)\/(sqrt(14)\/sqrt(2)*5))**2 - (sqrt(2541)*2 + sqrt(2541))\/(-2*(sqrt(3) + -2*sqrt(3))).\nAnswer: -33*sqrt(7)\/2 + 1792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 - 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 7, z: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6912, 13803, 20692, 27579?\n\"Answer: -p**2 + 6894*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b8 (base 14) to base 13.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 11) in base 8?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 19. Suppose 3*m + 0 = -3, 67 = x*z + m. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 9. Let g be s(5). Suppose g*y - 84 = -24. What is the greatest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 856387520 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6. Is 2465\/45 + s\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -548, -1099, -1652, -2207, -2764?\n\"Answer: -j**2 - 548*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 111 - 9 = 0. Let g be i\/(-30) - (-8)\/6. Solve d = -g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 + 190. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103286012 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -20*p + 4. Does 9 divide (117\/4)\/(p\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -75, -73, -57, -27, 17, 75?\n\"Answer: 7*n**2 - 33*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.215113*-0.4.\nAnswer: -0.4860452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 299560 (base 16) to base 2\nAnswer: 1010011001010101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 3*o**2 + 2*o**2 - o**3 + 6 - 3*o**2. Suppose -33*m = 43 + 89. Let l be h(m). Which is the nearest to 1? (a) -2\/7 (b) l (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/81)*c)\/((c\/((c\/(c\/(c\/(c*c*c*c*c**(-2\/5))*c)))\/c))\/c) assuming c is positive.\nAnswer: c**(-233\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, -4288, 12?\nAnswer: -4288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 20*f + 43. Give u(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-36)\/16)*12. Suppose -13*u + l*u = 12. Suppose -b - u = -4*b, 0 = 4*o + 4*b - 540. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92921 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -27*o**3 - 9*o**2 - 7*o + 1. Determine x(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-416)\/(-65))\/(2\/5). Solve -2*x + 5*t = z + 6, -3*x = -2*t + 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/((-24)\/48)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-26)\/4*-6. Solve -17 = 2*w + 5*b, 3*w - 7*w + 4*b + n = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 12*y**2 - 15*y + 14. Is t(-13) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 83*g - 663*g.\nAnswer: -580*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 634565022 + 14?\nAnswer: 634565036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 2, -1 = -5*w + 2*g + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -48, -49, -50, -51, -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23098 and 70.\nAnswer: 808430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192105 is divided by 32016.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*o - 1774*o + 65*o + 167298 = -20078 for o.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 106 = 136. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3 + 29*v**2 - 202*v + 280 = 0.\nAnswer: -35, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*k + 1418, -4*o + 4*k - 495 = -1635. Suppose -8*b - 74 + 1718 + 628 = 0. Is o greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5709\/10 + -569. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 963959, -0.1 in decreasing order.\nAnswer: 963959, 202, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + w + 1. Let q(x) = 3*x**2 - 3. Let j(z) = -2*p(z) - q(z). Let u = 14 - 16. Determine j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4882, 4950, 5058, 5206, 5394?\n\"Answer: 20*u**2 + 8*u + 4854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*d + 20384 = -0*p, 5*d = p + 10187. Let q = -5597 - p. Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10815*n + 10816*n + 27 = -m, m + 101 = -75*n for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 14 = -9*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39641*i + 39626*i = -75. Solve 0 = m - p, i*m - 9*p + 24 = -10*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2. Let f(q) = -189*q - 89*q + 593*q - 39*q. What is f(k(g))?\nAnswer: 1656*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39961 - 44978 = -1661*v - 176100 for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/56 - (-2822)\/(-14). Let v = 504 + h. What are the prime factors of v?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15867099 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90860039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(475))**2.\nAnswer: -10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 2*i**2 - 15*i - 46. Give c(-6).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423432 and 264645.\nAnswer: 2117160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-20))\/((-120)\/(-40)))\/((-2)\/940).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -456.97 (b) 1 (c) 2917\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5\/5 + 96*r**4\/5 + 3419*r**3\/5 + 6546*r**2\/5 + 3224*r\/5 = 0?\nAnswer: -26, -1, 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - cac?\nAnswer: -ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 4*a - 4. Suppose 4*y + 20 = 0, g = -g + 5*y + 31. Let k be g\/(-12) - 37\/(-4). Suppose 2*l + 3*x = -3, 2*l - x = 2*x - k. Calculate r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 i when three letters picked without replacement from {i: 1, l: 4, m: 6, n: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 141609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Suppose w - 5 = 2*t, -t + 36 = 5*w - 0*t. Let y(l) = -17*l + 7. Let v(s) = 9*s - 4. Let u(c) = w*v(c) + 4*y(c). Calculate u(m(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*t + 12 = 0, -36*v + 3*t = -41*v + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137322 is divided by 74?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9103726 (base 10) in base 12?\nAnswer: -307043a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1039 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9125*f - 7 + 9125*f - 7*f**2 as i*f + z*f**2 + t and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 107*h + 6424. Let j be f(-60). Solve 22*z - 10 = 20*z + d, 0 = z - 5*d + j for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75004 + 75071.083. Round x to the nearest integer.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 7. Let w(x) = x - 2. Let t = -1526 - -1530. Calculate t*o(j) + 14*w(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -14.262?\nAnswer: -142.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - 3 - (-4)\/24 and 47\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 8*h + 132. Let z = -24 - h. Solve y = -z*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 + -9 - -5 - -4 - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/1)\/((-1)\/10). Let v = 81 + -78. Suppose -4*s = 3*r - 19 - v, -5*s - 60 = -5*r. Calculate the greatest common factor of r and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000168589 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 9 + 0*k - k**2 + 11*k + 12*k**2. Let f be (-3)\/12 - (-73)\/4. Let m = f + -9. Let n(y) = -5*y**2 - 6*y - 4. Calculate m*n(s) + 4*w(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + -6 + 8 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38654, 77329, 116006, 154685, 193366, 232049?\n\"Answer: m**2 + 38672*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -124308669\nAnswer: -4\/124308669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93643?\nAnswer: 11, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, g: 1, y: 2}. Give prob of picking 1 g and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 = 1. Let y = -96 - -100. Put y, 6, h in increasing order.\nAnswer: y, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/7)*b*b*b*b**2 assuming b is positive.\nAnswer: b**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (18 - 56) + (-21 - -64).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1705729 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*o + 39, 4*i - 8*o - 81 = -3*o. Suppose i = 5*y - 2*a, 4*y = -a + 2*a + 18. What is the remainder when (6\/(-3))\/((-2)\/7) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:37 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 381*n**3 + 10*n**2 + n - 5. Let x(v) = -v**3 - 2*v**2 + 1. Give -g(y) - 5*x(y).\nAnswer: -376*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*j - 2*j + 1, -z - 5*j - 17 = 0. Let f = 1.4 - 1.6. What is the third smallest value in f, 1\/10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 3)\/(-3 + -1). Let v = 3520.029 - 3518. Let c = v + -0.029. Put c, 0, s in decreasing order.\nAnswer: c, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -145, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - p. Let v(m) = -m**2 - 7*m. Calculate -5*f(z) + v(z).\nAnswer: 9*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*f + 2389, 2*f - 7*f - 2985 = -5*x. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150.5 - -150.494243. What is u rounded to four dps?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 67067?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p*p\/(p*p\/p**(-7)))**21\/((p\/p**1)**(-2\/77))**(-37) assuming p is positive.\nAnswer: p**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271795 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7214939.\nAnswer: 23, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -61*z - 178. Determine w(-6).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h**2 + 320*h - 305*h + 3*h**2)*(4 - 4 + 4*h) + (h**3 - 2 + 2)*(-2 + 4 + 0) in the form m*h**3 + l*h**2 + k + u*h and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**4 - 196 + 1193*p**3 + 107*p**3 + 562 + 532*p**3 wrt p?\nAnswer: 4*p**3 + 5496*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 + -218047?\nAnswer: -218202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let n = -50 + 63. Suppose 0*r - 5 = 5*r, 4*t - n = r. Let s(v) = 3*v + 1. Give t*s(x) - 4*i(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -721931039 - -6368.\nAnswer: -721924671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/83?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**3 - y**2 - 8*y. Let r be p(2). Suppose 0 = -3*j + 61 + 65. Let n(u) = -u**2 + u**3 - r + j + 39. What is n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:37 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) 0.25 (c) -1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 61, 5.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-30)*3132\/24)\/((540\/(-50))\/(-18)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2696691 + 87?\nAnswer: 2696768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 + -243. What is the smallest value in d, -3, 8, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 8*y + 15. What is the tens digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5\/3, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7))**(1\/16) assuming b is positive.\nAnswer: b**(3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/20 - -191\/60. Which is the fourth smallest value? (a) 4\/13 (b) i (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.19, 1\/2, -2\/3, 3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*x - 1 - 8 = 0, 6 = -2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3776 and 13248.\nAnswer: 781632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/8713 + -43369\/853874. Is 1\/4 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.1 (c) -3 (d) -962 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 313086 (b) 1\/5 (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -986\/402081 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgggzzzzg. What is prob of picking 2 g and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00654207063 rounded to 5 decimal places?\nAnswer: -0.00654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k + 24*k + 8*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/m*m\/(m**2*m)*(m**(-1\/4)*m)\/m**(2\/11) assuming m is positive.\nAnswer: m**(-195\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/7? (a) 0.102 (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t. Let g = 6 - 5. Let i = g + 1. Let c(v) = 11 - 11 + v**i. Calculate y(c(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75611, 71487, 67365, 63245, 59127?\n\"Answer: r**2 - 4127*r + 79737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*s - 15 = -1, -3*r + 9 = -s. Suppose -5*z = 2*a - 13 + 3, 4*z - 2*a + 10 = 0. Solve -3*o - 8*g + 35 = -r*g, -5*o + 4*g + 5 = z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285833 smaller than 857501\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*a + 14 = 0, -z - 4*z = -4*a - 18. What is the second derivative of -b**z + 0*b + 2*b + 0*b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/12047 and 36\/7.\nAnswer: 12047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51562451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus 159043.878?\nAnswer: -159032.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 776479829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, y: 6, z: 4, e: 1}. What is prob of sequence jj?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 7 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6565247 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773a35 (base 13) to base 4.\nAnswer: 22231120013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7244 - -1.0244. Put 19, 0.103, z in descending order.\nAnswer: 19, z, 0.103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (420\/(-75))\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4617162?\nAnswer: 2, 3, 11, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z. Let k(m) = -m. Calculate k(g(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/20 - (-2421)\/12. Let v be g\/39 - 2\/13. Suppose 4*y - v*o = 79, o = -5*y + 5*o + 101. Calculate the highest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/2 - 27*z**5\/5 + 24*z**4 - 56*z**3 + 72*z**2 - 48*z - 15. Factor p(i).\nAnswer: 3*(i - 2)**4*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/8 + 9\/(-36). Let k = 67\/3 + -22. Let l = 1 + -1. Sort k, z, l.\nAnswer: z, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-10))\/((-4)\/(-40)*2\/(-4)). Factor 0 - 10\/3*b**3 - 26\/3*b**2 + s*b.\nAnswer: -2*b*(b + 3)*(5*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17755?\nAnswer: 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165337355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/24 + a**5\/30 + a**4\/12 + a**3\/6 + 2*a**2. Let u be ((-4)\/(-6))\/((-6)\/9). Calculate d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87982611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6489137 (base 11) in base 13?\nAnswer: 2493255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-1)\/(-4))\/((-3)\/42)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t - 10. Suppose 4*d = 5*h + 38, d - t*h = -6*h + 20. Solve -d - 3 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 1. Calculate the lowest common multiple of a(1) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-12) - -9) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 12487.\nAnswer: -12486.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -72310 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1300 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u**2 - 8*u**2 + 2*u**2 - 3*u**3 = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1444 and 249451?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from ppjpvppjlvxppvjvx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 189, 932, 0 in descending order.\nAnswer: 932, 189, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662*j - 667*j = 5, r = -5*j + 111. Put 2, r, -4 in ascending order.\nAnswer: -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135648 = 16909*l - 15496*l for l.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - 4. Let w(x) = x. Let k(g) = g + 3. Let m(z) = -k(z) - 4*w(z). Determine -3*i(a) + 4*m(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 1, -3, -13\/3, 17.2?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181989645 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((sqrt(363) - (-2 + (sqrt(363) - 1*sqrt(363)))) + 1*2*sqrt(363) + sqrt(363))*-5 + 0)**2*2.\nAnswer: -1452490 - 30800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -163*f + 11570. What is p(71)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -57, -99, -143, -183, -213?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stttytattytaysatstyy. What is prob of sequence ssaa?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -1097. List the prime factors of f.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775.8 - 776. Let y = 441 - 441.06. What is the third biggest value in 3\/7, y, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -668 or -669?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*n + 22, -3*n - 33 = -5*j - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 - 6*h - 14. Let v be t(-6). Let n = 52 + v. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -33. Suppose i = g + 2*g. Suppose 10*u - g*u = 0. Which is smaller: 1\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.005 + 1.845. What is the closest to -13 in 2\/11, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 5988.\nAnswer: -17964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -5*a**4\/12 + 80*a. Let v(s) = -21*s. Give k(v(c)).\nAnswer: -2205*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 81849970 less than 277985?\nAnswer: -81571985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 19*s**2 + 16*s + 21. Let o(z) = -5*z - 9. Let l be o(-6). Suppose 4*p + l = -51. Does 21 divide w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2029\/2 + 990. Find the common denominator of j and -107\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 15 + 2*w**2 + 9*w + w**3 + 27 - 24 + 2*w**4 as i*w**4 + h*w**2 + u + f*w**3 + y*w and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4532 is divided by 227?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492, 544, 596, 648, 700?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -120 + (-11 - -42) + -27 + (-1 - -2 - -1)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 107.71 and -98.575.\nAnswer: 9.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24544 and 3328?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*a - 809*a + 2407*a - 809*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6717657 millimeters to micrometers.\nAnswer: 671.7657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 221? (a) -5 (b) 3.13 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37817 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30920*q - 31696*q = -36472 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 189*i**2 - 2*i - 1. What are the prime factors of b(2)?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/36 and -47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 243 - 107. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:57 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13\/17 - -40\/119. Let g = 31 + -30.9. Which is the second smallest value? (a) j (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208 - -108. Let h = d - -58. List the prime factors of (-1)\/2*h\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 4 (b) -1\/5 (c) -1.5 (d) 5 (e) -2520\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**2\/2 + 3*o + 5. Suppose 0 = 4*p + 2 + 10. What is b(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Let u(x) = x**2 + 7*x + 6. What is the smallest common multiple of k and u(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 6*o - 5. Let h be b(6). Let k(d) = -d**2 + 5*d - 6. Let v be k(4). Put -4, v, h in descending order.\nAnswer: v, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 107024988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8011270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(-7*m + 2*m - 2*m) - 3*m + 3*m - m - 324*m + 390*m + 133*m in the form x + a*m and give a.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2234, 2\/7, 279 in ascending order.\nAnswer: 2\/7, 279, 2234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 62 = 32*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -57. What is the remainder when i is divided by 2\/4 - 3\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8036, -251, 6.\nAnswer: -251, 6, 8036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 3*k + 1. Let j = -30 - -31. Let b(f) = 181*f**3 + 11*f**2 - 3*f. Let m(h) = j*b(h) + x(h). Find the third derivative of m(q) wrt q.\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000371943496 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 9*i - 19*i + 18*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o + 712*o + 8*o**2 - 8*o**2 - 2*o**3.\nAnswer: -2*o**3 + 785*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.04 + 5. Let w = k - 0.26. What is the closest to -0.1 in 2\/23, w, -1\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and -8.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212957 is divided by 4017?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*b = 16, b + 2 = -3. Let j be (-83)\/(-5) - (-9)\/((-90)\/r). Suppose 0 = 19*m - j*m. Sort m, 3, -8 in increasing order.\nAnswer: -8, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheeeooheooe. What is prob of picking 1 e and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) -199 (c) -35234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, 6, -1, -44 in descending order.\nAnswer: 6, 5, 3, -1, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -15 (c) -2 (d) 0.96773\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 32.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 147 + 9*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -166 (c) -0.3 (d) 2\/21 (e) -3\/5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:15 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87108, -347990, -782790, -1391508, -2174144, -3130698, -4261170?\nAnswer: -5565560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -18, -1, -456, -357?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 911013 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 200 (c) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j + 1. Let q be d(-3). Let p = 260 - q. Is p\/12 + 2\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose q*t - 3 = 17. Suppose 3*o = -4*d + 4, o + 12 = -2*o. Solve -2*j + d*j + i = t, i = 2*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591 + -394. Suppose -189*t - 4592 = -w*t. Calculate the remainder when t is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 128*k**7\/63 + 32*k**6\/3 - 484*k**5\/15 - 443*k**4\/9 - 26*k**3 - 20*k**2\/3 + 76*k. Find i such that f(i) = 0.\nAnswer: -5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 62, -5.\nAnswer: -5, -4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 262*m*n**2*t**2 - 17*m*n**2 + 690*m*n*t - 34097*m*n + 3*m*t**2 wrt t.\nAnswer: 524*m*n**2*t + 690*m*n + 6*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:09 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 3. Let a(c) = -4*c + 3. Let t(q) = 4*a(q) + 5*k(q). Calculate t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/40506 and 123\/18662?\nAnswer: 8789802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4633 and 10660.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0079 + 11.3921. Let a = n - 11.6. Is -4.5 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9724067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -41. Suppose j = 2*z - 2, 0*i - i + 5 = -5*z. Let n be (-4)\/10 - (0 - (-36)\/i). Let h(s) = -2*s + 3. Calculate h(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**3 + s**2 - 1. Let n(c) = c - 5. Let m be n(4). Let k be w(m). Let i(a) = -a - 8. Let u be i(k). Solve -u*t = -4*t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o + 3. Suppose -y - 3*f - 28 = 2*f, 0 = -y + 5*f + 12. Let j be (22\/(-8))\/(y\/(-96)). Let q = j + 28. What is w(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*d - 216*d + 463*d + 16*d**2.\nAnswer: 16*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**8\/(l**1\/l*(l\/(l\/l**(-8)))\/l*l) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.074 + -0.064288. What is i rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(4 - 4 + 4 + (1 - 1 + 1)*(4 - 2 - 4))*(42 + 6 + 8)*(-2 + 2 - 2*a).\nAnswer: 448*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 443617.\nAnswer: -88723.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -21*h + 19. Calculate b(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 34*g**2 + 37*g - 68. Let o be (441\/14 + -14)*2. What is n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567663 is divided by 121.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2 - 7. Let m = 14 + q. Suppose 1 = m*b - 9. Solve 3*l = -b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*m + 117088 = 102*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:39 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -9. Suppose 3*x - s + 4 = 0. Let b(d) = -6*d**3 - d**2 + d - 1. What is b(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -53, -48, -43?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 - -247. Let x = u + -209. Let l = x - -83.64. What is l rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*g + g - 19*g + (1 - 13 + 2)*(0*g - 2 + g + 0*g) as u + w*g and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 9:03 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.22 - -55. Let s = -5.22 - l. What is the nearest to 0.11 in 2\/5, 0.5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - (-3 - -3) - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845785749 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 1. Let a(h) = -11*h**2 - h - 3. Let i be 18\/(-6) + 0\/(-2). Let g be 28\/(-12) - 1\/i. Let b(y) = g*r(y) + a(y). What is b(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 - 3 - 24*m**2 - 3*m + 0 + 14*m**2. Suppose -3*f + 2 = -2*f. Let t be (1 - f) + 5 + -1. Calculate d(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1704*b**3 + 23*b**2 + b - 75884 wrt b?\nAnswer: 10224*b + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16823900 to the nearest one hundred thousand.\nAnswer: 16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -432620 and -432627 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7445.797476 to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/((h\/(h**(7\/3)\/h))\/h)))\/h**14*h**26*h**(3\/23) assuming h is positive.\nAnswer: h**(814\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546 and 315.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -0.3, 64610, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -81*l**2 + 172*l - 12. Calculate v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 5*z, 5*s - 3*z - 15 - 8 = 0. Suppose 9*u = -s*u + 52. Solve c - 5 = 3*q, u*c - q - 9 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 + 10. Let j(k) = k - 1. Let n be j(-4). Let x(u) = -5*u**2 + 9. Let s(y) = n*g(y) + 6*x(y). Differentiate s(w) with respect to w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.37885046 from -0.4.\nAnswer: -9.77885046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -85, -126?\n\"Answer: -41*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 657 - 249. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21905.5 rounded to the nearest one hundred?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -462.15973 and -1.\nAnswer: 462.15973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 7. List the prime factors of l(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404668 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q - 6*q - 3*q - 4)*(-439 + 798 + 1030).\nAnswer: 2778*q - 5556","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13378*s = -13402*s + 624 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 331\/90 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73.4 + 80. Let h = z + -7. What is the nearest to -1\/2 in -1, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 30. Let k be x(6). Let a(h) = 9*h + 3. Let r be a(5). Let y be 31\/k - 8\/r. Let t(n) = -n + 6. Calculate t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 1 + 35*a**2 - 1389*a + 1357*a - 40*a**2 in the form b*a + q*a**3 + t*a**2 + w and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -692, -686, -678, -668?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 46852700?\nAnswer: 46852700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6*32\/18 + -2. Factor s - y + 1\/3*y**2.\nAnswer: (y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -8 (c) -154 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*t. Let g(r) = -3*r**t + 2*r**2 - 2*r + 0*r**2. Give g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/92 - (-52)\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32*(13\/2 + (22 - 28))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29209*b**3 + 58461*b**3 - 29273*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (647\/(117754\/(-884)))\/(8\/7).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 336 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 19. List the prime factors of w(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/115157 or 0?\nAnswer: -6\/115157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101000100 (base 2) to base 14\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b**2 - 4*b + 5. Is c(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33*l - 7. Let i(q) = -14*q - 3. Let d(n) = 7*i(n) - 3*s(n). Let u(m) = 32 - m - 103 + 37 + 37. Give d(u(p)).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 186 = -156*r + 77 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216475610041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*z, -5*g - 5*z + 27 + 13 = 0. Let o be (-10)\/(3*(-2)\/g). What is the derivative of b - b + o - 4 + 3*b**2 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 7*y**2 + 6*y + 12. Let u be v(7). Let d be 6\/u + 4\/18. Which is the nearest to d? (a) 2\/11 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8373 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6013*g + 11998*g - 5988*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.095701ug?\nAnswer: 0.000004095701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrxrrff. What is prob of sequence xr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 1\/3*r**5 + 4*r - r**3 + 16\/3*r**2 + 0.\nAnswer: r*(r - 6)*(r - 2)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 0, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 513 + -506. Solve -20 = 11*x - r*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35033 divided by 52\nAnswer: 35033\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 92\/69 + 1\/(-3). Let p = -5 + u. Solve 0*f = p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.2, -2, 10888\/5, -3 in decreasing order.\nAnswer: 10888\/5, 2\/9, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*g**2 + 293*g**2 - 62*g**2 - 91*g**2 - 98*g**2 - 100*g**2.\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 386516769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4 = 4*w, 24*p - 11 = 28*p + 3*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + 5. Suppose -6*u + q = -5*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01512927 rounded to five decimal places?\nAnswer: -0.01513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29385 = -228*u - 343*u - 82*u for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b**3 + 15453*b**2 - 79438*b + 5115 = 0.\nAnswer: -341, 3\/46, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/((-58)\/(-18) - 3). Let w = 117 - k. Suppose w + 17 = 4*a. Solve 2*n = -2*j - 8, 2*j + 6*n = n - a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -243*x - 1896. Calculate r(-7).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/3 (c) -60\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22000739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -3. Let u(t) = 2*t**2 + 10*t + 10. Let m be u(z). Suppose 0 = 2*k + 5*q - 363, 0 = 5*k - 0*q - m*q - 951. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39199, -39194, -39185, -39172, -39155, -39134, -39109?\nAnswer: -39080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 7*m**2 - 16*m + 33. Let p be l(6). Calculate the greatest common divisor of p and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Let m = x + 3. Suppose 4*d - 20 + m = 0. Let i(n) = -n**2 + 4*n + 4. Give i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + d - 15. Let h be i(4). Let u(b) = 35*b - 77*b + h*b. Let r(v) = -7*v + 2. Let w(c) = -1. Let k(z) = r(z) + 2*w(z). What is u(k(q))?\nAnswer: -77*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 = -2*t - 5, 0 = -l + 3*t - 10. Let g(w) = 4*w**2 + 1 - 6*w + 7*w**l + 4*w**3 - 5*w**3 - 4*w**2. Let i be g(6). Solve -i - 8 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*l - 7. Suppose -255 = 4*y - 9*y. Let j = 563\/11 - y. Which is the smallest value? (a) j (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4 - 8472*o**3 - 3988755*o**2 = 0.\nAnswer: -411, 0, 3235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1977*g**5 - 106*g + 6 wrt g?\nAnswer: 39540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 136. Suppose -2*o = 29*o - 1457. What is the remainder when o is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = l - 15*z + 10*z, 3*l - 173 = -z. Calculate the smallest common multiple of l and (-19)\/(-3) + 1\/(-3).\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 3784624?\nAnswer: -3784621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.4, -0.02, 6 in descending order.\nAnswer: 6, -0.02, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3212, 3208, 3204, 3200, 3196, 3192?\nAnswer: 3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.331 + 3.034. What is j rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 108*w**2 - 22*w + 211. Let s = -259 - -267. Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370357 divided by 1?\nAnswer: 370357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 3)*(3*z - 18*z**2 + 2*z**2 - 2*z).\nAnswer: 64*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:51 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -5*t - 2\/21*t**3 - 1\/14*t**4 - 1\/15*t**6 + 0*t**2 + 1 + 6\/35*t**5. Let p(j) be the first derivative of c(j). Factor p(n).\nAnswer: -2*n*(n - 1)**2*(7*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/((g\/(g**(-3\/5)*g*g))\/g))\/(g\/(g\/g**(-4\/3))*g))**(40\/9))**(6\/5))**(-2\/7) assuming g is positive.\nAnswer: g**(-1312\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 5*s**3 - 10*s**2.\nAnswer: 5*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 31*p - 5*p = 492614. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 - (1 - -2 - 2) - (370 + -352)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2. Let t(y) = -5*y**2 - 4. Let w(p) = 4*p**2 + 3. Suppose -c + 5*c = 12. Let g(n) = c*t(n) + 4*w(n). What is g(f(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*q**4 + 59*m*q + 47*q**5 - 6*q**4 + 2*q**2 wrt q?\nAnswer: -48*m*q + 2820*q**2 - 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961408\/348 + (-22)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**7\/30 + 11*m**6\/120 + 103*m**4\/4 - 4*m**2 + 93*m. Find the second derivative of r(k) wrt k.\nAnswer: -84*k**2 + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 28*h**2 - 21*h - 32. List the prime factors of s(25).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7 = -4*j, -3*j + 4*g + 14 = -4. Suppose 2*o = -m + 1927, o + 2*o - 3854 = -j*m. Let w = 184 + m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o. Let m(k) = -1336*k. Determine v(m(i)).\nAnswer: 13360*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (624\/26)\/(3*(-4)\/(-832)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231199\/17 or 13600?\nAnswer: 231199\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 6*t**2 + t. Let x = -3160 - -3160. What is c(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 + 14*j**3\/3 - 8*j**2 - 15*j - 3. Let f be l(-15). Solve f = -k + 2 - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 + 8*g**4 + 3*g**3 + 15*g**4 + 20*g**4 - 4*g**2 - 37*g**4 + 7*g in the form s*g**4 + b*g + m*g**3 + r + t*g**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 345 - 688 + 343.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 175 + 174 - 351 - i**4 + i + (0*i + 5*i - 4*i)*(3*i**3 - 2*i + 2*i).\nAnswer: 2*i**4 - i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0 + 1)\/((-7)\/(-63)). Suppose -s*g + 13783 = 2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, -2, -258 in decreasing order.\nAnswer: 14, 0, -2, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Suppose -r - 4 = -k. What is the tens digit of (-25)\/(0 - r) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1216 - 1214. Which is the closest to -1? (a) -8 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5792523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) -1\/3 (c) -2 (d) -4 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 - 8*v + 10. Let q be p(8). Solve 2*x = -0*x + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 6:09 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = 2*i, -3*u - 64*i + 38 = -68*i. Solve u = -3*c - 0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/2 + 73\/22. What is the closest to 1\/4 in y, -0.5, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b09e (base 16) to base 6\nAnswer: -2212422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*d**3\/3 + 134*d**2\/3 + 2729*d\/3 - 48.\nAnswer: -(d - 16)*(d + 9)*(19*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*w + k + 2009, 0 = -3*w - 2*k + 1203. Let m = -286 + w. What is the greatest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 12, u: 4, n: 4}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 191819*q - 35. Give f(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 48 = -26*u. Suppose -5*l - 5*i + 4580 = u, -5*l - 8*i + 11*i + 4540 = 0. Is 40 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*v - 90 = 84*v. Let m be (171\/v - -3)*1. What is the biggest value in m, -7\/20, -1?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5024140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1468610*l**2 + 1468612*l**2 - 2937219*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = -2*r. Put r, -4, -3 in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y - 3. Let v be l(-3). Suppose -3*m + m + v = 0. List the prime factors of ((3 - -1) + m)*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2807 and 5.\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.11 (b) 5 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 290 - 96 - 1698*h**2 - 96 - 98 in the form g*h + k + i*h**2 and give i.\nAnswer: -1698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 12. Let i = 0 - -1. Let z = 3 - i. Calculate the least common multiple of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4855 - -0.5055. What is the third smallest value in -3\/7, -0.1, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**3 + 7*j - 14. Find the first derivative of g(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 414693\nAnswer: -4561623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7794\/63 + 24\/84. Calculate the greatest common factor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97078050803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1303\/2598 + -2\/1299. Factor y*h - 1\/4*h**2 + 3\/4.\nAnswer: -(h - 3)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899149394 divided by -26?\nAnswer: -34582669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 692760.\nAnswer: 29095920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + 4*m - 5*m**3 - 3*m**2 + 4*m**3 + (2*m**3 - 3*m**3 + 2*m**3)*(8 - 3 + 6).\nAnswer: 10*m**3 + m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36461.048993 - -36461. Round y to three dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -10 - (-1 + -9 + -85 + 106).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 20 + 26 + -34 + (1 - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12a - d80?\nAnswer: -c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 + 2*u - 3. Let x be m(-6). Let q be (-2)\/(-7) - (-5 + (-6364)\/(-28)). Is q\/x*(-25)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzivfk. What is prob of picking 1 n, 1 z, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -7*x - 3. Let m(u) be the first derivative of -u + 0*u**2 + 2\/3*u**x - 2. Find the first derivative of m(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*b + 11 = 0, 5*x = -180*b + 176*b + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 8, 5, 15, 121, -2 in descending order.\nAnswer: 121, 15, 8, 5, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6526, -12190, -16986, -20914, -23974, -26166?\n\"Answer: 434*l**2 - 6966*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 33. Let p = f + -6. Let q = p + 2.7. Which is the smallest value? (a) 6 (b) q (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 6:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 10. Let p be (b\/2)\/(-3 + 2). Let c be (p\/(-8) + -1)\/(-3). Is c > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*c - 2*c - 5*c + 2*c.\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -188*b + 10884. Let q be t(58). Let n(a) = -a**3 - 23*a**2 - 59*a + 31. Determine n(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 445700 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:43 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 9, r: 4, c: 2}. What is prob of sequence rzvr?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102022221221 - 1001?\nAnswer: -10102022222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, 1, 0, -1 in descending order.\nAnswer: 2, 1, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5 - 13 + 15 + u**2 - 3*u. Let b = 6 - 1. Determine g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200010122 (base 3) in base 7?\nAnswer: -53354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g**5 - 7\/6*g**3 + 0 - 1\/8*g**4 + 0*g + 34*g**2 - 1\/120*g**6. What is b(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -5 (c) -4\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**5 - 4*r**5 - r**5)*(105 - 1 + 71) - 12*r + 6*r - 2*r**4 + 5*r**5 + r.\nAnswer: -520*r**5 - 2*r**4 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) -5 (c) 786\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*z = -551, 63 - 172 = i + 5*z. Let s be (2 - (-56)\/(-32)) + i\/(-8). Solve -f + 8 = -4*r, -2*r + r - s = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-22)*(d*d\/d**(-1\/5)*d)\/(d**0*d*d))\/((d**3\/d*d*d*d**(3\/7)\/d)\/(d\/(d\/((d\/(d**(-1)\/d))\/d))*d)**(2\/17)) assuming d is positive.\nAnswer: d**(-4856\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**5\/150 + 26*b**4\/15 - 2704*b**3\/15 - 367*b**2 + 2*b. Let s(j) = 0. What is j?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) - (3 + -1 + sqrt(80)))) + sqrt(80) + ((1 + sqrt(80))*2 - sqrt(80)))**2.\nAnswer: 96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444607 is divided by 2304?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2578*c**5 - 152*c**5 - 1910*c**5 + (-3*c + 3*c - 2*c**3)*(2*c**2 + c**2 - 2*c**2).\nAnswer: -4642*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 4 + 29*s**2 + 5 + 11*s. Suppose 3*x - 21 = 3*j, 2*j = 4*x - 6 - 0. Is m(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10819 or 10814?\nAnswer: 10814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009532121 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**2 - p**2 - 6*p**2 + p**6 - 5*p**6 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r**2 - 14*r**2 + 17*r**2 + (5*r - r - 2*r)*(2 + 2*r - 2).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 1, d: 2, z: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + (-1*sqrt(5) - sqrt(5)) + 2)**2 - (((sqrt(350)*-2)\/sqrt(7))\/(((sqrt(10) - (sqrt(10) + sqrt(90))) + sqrt(10))*3))**2)*-5.\nAnswer: -1235\/9 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 14, 94*a + 96*a - 5*k + 29 = 188*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20771988.\nAnswer: 2, 3, 1730999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:16 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 452*u**3 + 4*u**2 + 452*u.\nAnswer: -4*u*(u - 1)*(u + 1)*(u + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 >= 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/635 or 123102?\nAnswer: -1\/635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -30412.\nAnswer: -12164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/103, 9102 in descending order.\nAnswer: 9102, -2\/103, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 39*c**4\/4 + 4*c**3\/3 - 2*c**2 + 2*c + 9. What is the remainder when t(1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10320953 and 0.023.\nAnswer: 237381.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000756 to seven dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166770\/(-63450))\/17 - 4\/(-30).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -100. Let u(l) = 45*l - 132. Let z be u(3). Suppose -5*c = 5*x - 10, z*x + 3 = 7*x - c. Do x and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s = -6*s - 196 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a49734 (base 12) in base 8?\nAnswer: 11676330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5 = -25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21537504 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3963*q**2\/2 - 1809771*q - 2740\/3.\nAnswer: -(3*q + 2740)*(3963*q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 4.2805, -1\/22, 1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000010642 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -20, -30 in descending order.\nAnswer: 3, 2, -20, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 - 695*m**4\/4 - 1373*m**2\/2 + 1639*m - 1. Differentiate v(s) with respect to s.\nAnswer: -3*s**2 - 4170*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -16. Suppose 4*y - 52 = -4*p, 4*y - 2*p = y + 44. What is the least common multiple of y and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1447 and -839.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c*l**2 - 28*c*l*n**2 - 3*c*l*n + 25*c*l - 371*c*n - 2398*l**2*n**2 + 47*l**2*n + l*n**2 + 2*n**2 wrt l.\nAnswer: -20*c - 4796*n**2 + 94*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13772 + -13800. Sort -0.1, 3, n, 1\/9, 4\/5 in increasing order.\nAnswer: n, -0.1, 1\/9, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62\/49, -3\/2, 4 in decreasing order.\nAnswer: 4, -62\/49, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = 6*i - 27. Let x = i - -58. What is the units digit of (-498)\/x*(-1 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 253*p**2\/2 + 322*p - 1009. What is the first derivative of u(f) wrt f?\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*t + 8, 0 = j - 3*j - 5*t - 27. Which is the third smallest value? (a) -0.7 (b) j (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.073 and -0.559?\nAnswer: 0.040807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/6) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 8. Let r = -14 + 19. Determine k(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2142 and 462.\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/2*v**5 + 0 - v - 5\/2*v**2 + 9\/2*v**3 + 5\/2*v**4 = 0. Calculate v.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6, 5*a - 12388 = 8*a - 2*l. What is the common denominator of -19\/32 and (387\/a)\/((-2)\/248*1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 5706.5208.\nAnswer: 5693.5208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = -5*k - 10*z, 3*k - z = 18. Let s(q) = -q**3 + 7*q - 3 + 5*q**2 + q**2 - 2. What is the units digit of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 225*c**5 + 562*c**2?\nAnswer: 13500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-233 + 419 - 235 + (-1 - 1 + 1)*(1 + 5 - 5))*(-n + 2*n + n) to g*n + u and give g.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = -3*d, -5*p = 3*d - 21 + 46. Solve 37*j - 42*j = d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 248 = 170 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -131 - 45. Let i be (-18)\/24 - (-85)\/(-4). List the prime factors of (-8)\/w - 510\/i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*2*-6)\/(1*(sqrt(288)*-4 - sqrt(288))).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73807027*z**4 - 62382785*z.\nAnswer: 885684324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 - 3*k + 10. Let x be r(5). Put x, 3, 4 in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*o + 61980 = 0, 46478 = 3*r + 29*o - 31*o. What are the prime factors of r?\nAnswer: 2, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1949.99048 to the nearest ten.\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -7*a + 11*a, -4*a - 20 = -7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 49 - 28*f)*(37*f**2 + 10*f**2 - 11*f**2) in the form m*f + y*f**2 + s*f**3 + a and give s.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.01 - 0.01. Suppose 3*l + 122 = -3*j + 107, 0 = 3*j - 4*l - 20. Which is the second biggest value? (a) j (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2944 - 2880. Calculate the remainder when k is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1.083\nAnswer: -3.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 - 252\/84\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 5*u + 2. Let m be l(5). Suppose 5*i - 1839 = m*t - 0*t, 3*i + 2*t = 1097. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Let m(g) = -o + 7 + g - 1. Give m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2983*n - 13345 - 2986*n + 13345.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 67 + 106. Let m(n) = -8*n**3 + 4*n - 4. Let a(b) = -17*b**3 + 9*b - 9. What is k*m(i) - 6*a(i)?\nAnswer: -2*i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 3*c - 15. Determine n(7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20161 - 20195) + 1 + 0 + 107.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 162, 232?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*i = 5*i + 27, -1 = -2*m + i. Let t = m + -2. Let w be 3\/t - (-3)\/4. Solve 0*b - 3*b + 6 = w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 9*g**2 - 16*g + 1. What is v(5)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:50 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 - (-3 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1010001100101010101101 (base 2) to base 3\nAnswer: 12000211010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 901619?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -29497, 3 in ascending order.\nAnswer: -29497, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -317227 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.213 or -3\/22?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**5\/30 - z**4\/12 + 8*z**3\/3 + 9*z**2. Let y(f) be the first derivative of a(f). Calculate y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -529, -463, -325, -91, 263, 761?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 6*u**2 + 4*u - 3. Let g be v(-7). Suppose g*q = 10*q + 16. Solve -6 = 3*t - 3*b, -4*t + b = -q*b + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -219 + 219 - 6*m**2. Let u(c) = -7*c**2 - 5*c - 5. Let x(f) = 4*f**2 + 3*f + 3. Let n(o) = -3*u(o) - 5*x(o). What is q(n(d))?\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 5512?\nAnswer: 21\/5512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15986.\nAnswer: 2, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53096.\nAnswer: 2, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824 - 8*m**2 - 4*m**2 - 7*m**2 + 25*m**2 - 823.\nAnswer: 6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102033 (base 4) in base 10?\nAnswer: -1167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*c - 65*c + 42 - 42 - 6*c + 5*c - c + (2 - 1 + 1)*(-2*c + 1 - 1) - 5*c + 3*c + 4*c to w*c + j and give w.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 37 - 138. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - -4) - (23 + -24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -303, 7\/8, 2\/3, -6, 0.086 in ascending order.\nAnswer: -303, -6, 0.086, 2\/3, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 132 - 66. Let i be (l\/(-44))\/(1\/2). Solve 2*z + 1 + 1 = 4*d, 3*d + i*z = -3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/16 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -1\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17361530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 4*o + 1. Let z = -8 + 4. Determine b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -1 - 2, -54 = -x + 5*m. Let w = x - 37. Solve 0*i - 2*q - 8 = -5*i, w*q = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18648630 and 76626?\nAnswer: 801891090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 333, 325, 303, 261, 193, 93?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/sqrt(40) - sqrt(13)*2*-5.\nAnswer: 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**7\/28 - 11*h**6\/10 + 423*h**5\/40 - 55*h**4\/2 + 25*h**3 - 30*h - 5. Factor d(b).\nAnswer: 3*b*(b - 10)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 17. Let v be l(-6). Let r(x) = 2*x**3 + 4*x**3 + 12*x - 3*x**3 + 12 - 12*x**2 - 2*x**3. Is r(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 5*i**2 + 5*i**2 + (-i**2 + 2*i**2 + 0*i**2)*(-6*i - 11*i - 79*i) to y + w*i**3 + b*i + k*i**2 and give w.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4 = -5*j + 1, 0 = -4*j - 2*h - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.038 + 0.238. Let u = -1 + 1. What is the nearest to n in u, -3\/5, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(190) + (sqrt(190) - 1*sqrt(190)*1) + sqrt(190) - (-1*sqrt(190) + sqrt(190))*1)\/(-2*(sqrt(1440) + (sqrt(1440)*-1 - sqrt(1440)))) + -2.\nAnswer: -2 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*g + 20, 2*j + 2*g = -0*j + 24. Does 15 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + q + 4 + 3*q**4 + q**2 - 1 in the form z*q + x*q**4 + t*q**3 + b*q**2 + m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16702.349 - 16714. Round b to 1 dp.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - 46*k + 276. Let r be u(7). Suppose 4*f + 5*j = 81, -63 = -3*f - j - 2*j. Let h = f + r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95) - (-2*((sqrt(95) - sqrt(95)*2) + sqrt(95)) - sqrt(95))))\/(-2*-2*sqrt(720)).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126343, -252287, -378231, -504175, -630119?\nAnswer: -756063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 3920*u**2 - 172094*u - 328492.\nAnswer: 2*(u - 2003)*(u + 2)*(u + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t - 3. Let b(y) = y + 1. Let p(w) = -15*b(w) - 5*j(w). Let m(v) = 16*v**2. Give -2*m(s) + 7*p(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:27 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 1. Let p be s(-1). Suppose 0 = -4*d - 0*d. Suppose -4*z + d*z = -12. Solve z*i = -p + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16793, 16450, 16105, 15758, 15409, 15058?\nAnswer: 14705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - w + (2*w + 1 - 1)*(-2 + 1 + 3) + 2*w - 4*w + 0*w)*(0*w + 2*w + 3*w) + w**2 - 4*w + 4*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1286196 - -2.178.\nAnswer: -1286193.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/36 + 418\/(-18). Let i be (-959)\/(-21) - (-1)\/3. Let n = i - w. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 551800 and 4895?\nAnswer: 6069800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-15 - (-506)\/23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 6:27 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihx when three letters picked without replacement from xlllxlxlillhexhx.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 + d. Let a(n) = 187*n**3 + 4*n**2 - 4*n - 7. Determine -a(j) - 4*m(j).\nAnswer: -191*j**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 32 = 5*o, p + 34 = -4*o. What is the remainder when 23 is divided by (-9)\/12*o\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*j - v + 5603, 3*j - 4209 = 3*v. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5041943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**3 + 8*k**2 + 103*k - 8. Let t(u) = 2*u**3 - 3*u**2 - 34*u + 3. Give 3*o(z) + 8*t(z).\nAnswer: -5*z**3 + 37*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-10) + 0)\/((-28)\/350). Suppose w*o - 13*o - 24 = -3*v, -5*o - 24 = -v. Sort -2, -6, o.\nAnswer: -6, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 4*f**2 + 43*f + 203. Let t be r(-5). Solve -3*q = n - 8, 5*n - 5*q + 27 = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0 + 1\/2*j**3 - 3\/2*j**2 + j - 3\/20*j**5 + 1\/4*j**4. Let g(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-105))\/((-11)\/((-308)\/(-4)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 2*k + 2. Let u(s) be the first derivative of 8*s**3\/3 - 17*s**2\/2 - 17*s - 360. Determine -51*d(h) - 6*u(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.733 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240985 is divided by 6693.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((20646\/37)\/(-9))\/((-18)\/3)\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5896 is divided by 131.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1744\/9 + -194. Put w, 10, -3 in increasing order.\nAnswer: -3, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + 6*h**2 + h**2 + 3*h**2 - 9*h**2. Let i(u) be the first derivative of u**3\/3 - 1. Give i(a(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**6\/60 + 9*c**5\/8 - 239*c**4\/12 + 36*c**3 - 8918*c. Find k such that s(k) = 0.\nAnswer: -54, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 1284*f - 12440.\nAnswer: -4*(f + 10)*(f + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/68 and 127\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52200, 1, 0.1, -0.5, 0.2?\nAnswer: 52200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5181, 10368, 15689, 21210, 26997, 33116?\nAnswer: 39633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 233*i. Let f be c(1). Suppose -4*n + f = -3*s - 48, 2*s + 202 = -n. Let k = s + -94. What is k rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 365.008 - 17.222. Let t = 349 - f. Let p = t - 0.79. What is p rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7 + 23, -q = 2*j - 8. Suppose -2*s + 1050 = 3*v, 2*v + 5*s = j*v - 1400. Let i = v - 1389\/4. Find the common denominator of i and -9\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6))**(-21)*(i\/(i\/(i\/i**(-3))))**(-13\/6) assuming i is positive.\nAnswer: i**(289\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -31. Let z = q + -5. Sort -3, -4, z.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4\/3, 1\/7, 3, -535, -0.3 in descending order.\nAnswer: 5, 3, 4\/3, 1, 1\/7, -0.3, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 15*f**3 - 3\/4*f**4 - 192*f + 16 - 72*f**2. Factor g(b).\nAnswer: -3*(b - 8)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0.1, -3\/7, 2\/3, -1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 3\/8 (b) -6\/11 (c) -4\/3 (d) 0.192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*z + 330*z - 8 = 0. Sort -9, z, 0, 5 in decreasing order.\nAnswer: 5, 0, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(76)*2 + sqrt(76)) + sqrt(76) + (sqrt(76) + sqrt(76)*-1)*-6)\/(sqrt(400)*2*1))**2.\nAnswer: 304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14777700 to the power of 1\/2, to the nearest integer?\nAnswer: 3844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/7, -8, 1, 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -25245?\nAnswer: 2524.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 9140 * -0.2\nAnswer: -1828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -347.15 + 347. What is the nearest to -0.1 in -1\/2, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -3, -39, -4 in decreasing order.\nAnswer: 31, -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18801878.\nAnswer: 2, 1663, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*4\/(-234))\/(4\/9)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3748 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5 + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from olallcacmlooooco.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*j = 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 159, 315, 471, 627?\n\"Answer: 156*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxuxuryi. Give prob of picking 1 x and 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20888351 divided by -2?\nAnswer: 20888351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j**3 + j - j**2 - j + 84*j**3.\nAnswer: 18*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.24. Let w = h - 0.02. What is w rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-60))\/(4\/(-10)). Let o be 6\/21 - q - (-10)\/(-35). Suppose 0 = 4*v, -4*f + 188 + 184 = o*v. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 3*d**2 + 8. What is n(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*l**2 - 5*l**3 + 7*l**3 + 0*l**3.\nAnswer: 2*l**3 + 96*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1001011011101 (base 2) to base 6\nAnswer: -34205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*s + 3*s. Suppose -6*c = -2*c - s. Solve -2*x + 3*o = 17, -x - 4*o = -0*x - c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2. Let z(o) = 2*o + 1. Let i(r) = -r**2 + 3*r + 4. Let u(n) = -i(n) - 4*z(n). Let q(b) = -2*c(b) + u(b). Factor q(d).\nAnswer: (d - 12)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 147*o**2 + 38*o + 229. What is the units digit of v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -338 times -0.07\nAnswer: 23.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1326\/306306*(((-2)\/3)\/(14\/63) - 0)\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-74 - -77) + 1 + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 580, 485, 356, 175, -76, -415, -860, -1429?\n\"Answer: -3*w**3 + w**2 - 77*w + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**4 - t + 15*t**3 + 1 - 17*t**3 - 5*t**4 in the form g + s*t + j*t**3 + u*t**2 + r*t**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101 = -157*g + 1568 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 1:01 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.061 and 2.4.\nAnswer: 0.1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 15*t - 70 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 2, w: 13, b: 3}. What is prob of sequence bba?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -3.392?\nAnswer: -0.40704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11918*h**2 + 16759*h wrt h.\nAnswer: -23836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245346435 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9437, -37692, -84777, -150686, -235413, -338952?\n\"Answer: b**3 - 9421*b**2 + b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (314*w + 11*w**2 - 314*w)*(w + w - 3*w**2 + 5*w**2 - 2) + (8*w - 8*w + 17*w**2)*(3 + 2*w**2 - 3) to u*w**4 + t*w**3 + g*w**2 + m*w + l and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q - 44*q - 5*o - 6 = 0, -q + o = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -126, -186?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**3 - 52*h**2 - 12*h + 7. Let n(u) = 5*u**3 + 38*u**2 + 11*u - 7. Let y(w) = -2*f(w) - 3*n(w). Give y(-4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + (-2 - 0). Let g = -63 + 251\/4. What is the third smallest value in b, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77289*v + 76987*v - 12080 = 0 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/588 and 113\/132.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*h + 20 = 0, 0 = h + 4*h + 25. Let p be -3 - -5 - (-78 + m). Suppose -2*c + 6 = -r - 32, 4*r = 4*c - p. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5022*j - 5017*j + 45 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1459*c**4 + 10*c**2 - 9.\nAnswer: -35016*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0 - 6?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/((3*sqrt(110) - sqrt(110))\/sqrt(11)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 14, -737, 4, -3 in ascending order.\nAnswer: -737, -5, -3, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.5, -49, -2\/25, -76, -0.2?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373078077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2996317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -2355.5\nAnswer: -16488.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26479 by -2.\nAnswer: 26479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1758680 and -51\/15988.\nAnswer: 1758680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.98. Let v = 3 + -2.88. Let t = v + o. What is the biggest value in t, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-65) - 74\/10. Let s = -1 - w. Solve 2*n - 2*g = s*n + 6, 5*g = n + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(sqrt(704) + -2) - (-5 + (-5 + sqrt(44)\/sqrt(4))*-3))**2.\nAnswer: -174*sqrt(11) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 2*f**2 - 9*f - 8. Let x be o(-5). Let r = 40 + x. Suppose 2*b + r*v - 5*v = 15, 2*v + 10 = -2*b. Solve b*u = -5*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12990 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 10*c + 10*c + 7*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a - 10 = 0. Suppose -3*v + a*v = 1, 3*t + 4 = 2*v. Is (4 + t)\/2 - -21 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -46?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((950\/20)\/19)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**5 + 2*w**2 + w**4 + w**2 - 4*w**2 - 1 + 3*w**3 - 2*w. Let s(x) = -1. Let n(a) = -s(a) + v(a). Factor n(d).\nAnswer: -d*(d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4036504 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*l + 10 = 0, -3*b + 5*l + 3 = -b. Suppose -3*a + 20 = -b. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2394*d**3\/5 + 50723115*d**2 - 6716881934448*d\/5 + 8417144883\/5 = 0?\nAnswer: 1\/798, 52969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 6*w**6\/5 - 57*w**5\/20 + w**4\/12 + 16*w**3\/3 - 6*w**2 - 29*w. Factor o(d).\nAnswer: (d - 1)*(3*d - 2)**2*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 3, -2, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15*z)\/(z\/(z\/(z**(-20)*z)))*(z**(2\/5))**(-5\/6) assuming z is positive.\nAnswer: z**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**3\/3 - 5*n**2 + 15*n. Suppose 2*u = 2*m + 6*u + 20, 3*u - 13 = 2*m. Is q(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.08942769 - 5.08942845. Let o = 48 - w. Round o to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-12))\/(-110)*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyto. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272 + -283 - ((-1 - 82) + (-7 - -5) + 1).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -2 - (-22)\/(-8). Let r = -3350\/9 + 372. Which is the nearest to 3? (a) n (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/120 - l**5\/10 - l**4\/8 + l**3\/6 - 92*l**2. Give b(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5*(-4)\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.6 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*-284.\nAnswer: -30104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2. Suppose -25*l + 28*l = 9. Let i(t) be the second derivative of -t + 0*t**2 + 1\/3*t**l + 0. Give g(i(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**5\/25 + f**4\/10 - 2*f**3\/15 - f**2\/5 - 4. Factor i(p).\nAnswer: 2*p*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 32 + 56)*(0 - 1 + 4)*(-34*p**3 - 32*p**3 + 69*p**3) in the form k*p**2 + a*p**3 + c*p + b and give a.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100000000 (base 2) in base 6?\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1.11 (b) 1\/26 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, -9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/162)\/(1\/(-12)*2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let b be (3 - 0)\/(1\/1). Suppose u*v + b*v = -111000. What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 660393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/100827 and 38\/459.\nAnswer: 302481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -810, 3, -4 in descending order.\nAnswer: 3, -4, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5)\/b)\/b)\/b**(-4)*(b*b**(-1\/5))\/b**4)\/(b**(1\/4)*b*b\/b**(2\/21)*(b**(2\/3))**(-33)) assuming b is positive.\nAnswer: b**(5731\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -17*n - 6. Suppose -n*u + 8 = 2*i, -u + 17 - 4 = 4*i. Let o(s) be the second derivative of -s**5\/20 + s**4\/4 - 3*s**2\/2 - 2*s. Give o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 19. Suppose 0 = -4*o + 3*v - 0*v + 5, 5*o = -2*v + 12. What is the remainder when ((-15)\/(-10) - o)\/((-3)\/660) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 2*d**2 + 4*d**2)*(-5613*d**2 - 1308*d**2 - 317*d**2 - 1423*d**2) in the form p*d**3 + z*d**2 + w*d + h*d**4 + f and give h.\nAnswer: -25983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 10*k - 12. Let w be i(8). Suppose w*o = 3*o. Let x = -38 - -42. Put x, o, 1 in descending order.\nAnswer: x, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22825266\/11 or -2075023?\nAnswer: -22825266\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 190*x**3 + 9*x. Let o(p) = 189*p**3 + p**2 + 12*p - 1. Calculate 4*g(c) - 3*o(c).\nAnswer: 193*c**3 - 3*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89.7 - -89.7000967. What is u rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110111001001011 (base 2) to base 8\nAnswer: -167113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-7 - 2)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 417713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 8*x**2 + 69*x - 14. What are the prime factors of n(6)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) - 2\/6. Let l(h) be the second derivative of -1\/6*h**4 + 1\/10*h**5 + b*h**3 + 0*h**2 - h + 0. Find the third derivative of l(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 6 + 2 - 1. Suppose 0 = -2*v + t*m - 2*m - 14, v = -3*m + 5. What is the units digit of (-1)\/(v\/(-96)*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 58143328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 79. Let l = q - 18.08. Let f = 1.08 + l. Which is bigger: 0.14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5 - 4*i - 3*i + 5*i. Let z be f(5). Let k(x) = 3*x**2 - 215*x - 296. Let v be k(73). Put v, -3, z in descending order.\nAnswer: -3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*n + 5*n. Suppose -u = u - n. Which is the third smallest value? (a) 0.1 (b) u (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x + 9. Let f be w(7). Suppose 17 = s - 0*c - 5*c, 0 = -2*s - 2*c - 2. Let i(z) = 0*z - 3*z**f + s*z + 2*z**2 + 3. What is i(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*s = 187*s + 4*w + 24, 4*s = 9*w + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/12 + 29*w**2. Suppose -3*g + 12 = -0*g. Give k(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173*4\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 2*c = 15*m - 18, -3*m + 3*c = -18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -55*r + 1207. Determine p(20).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f. Suppose -15 - 9 = -4*i + 3*u, f = i - u - 7. Find the first derivative of -1 + 0*m + 0*m - 1 + 2*m**i wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215649 divided by -4\nAnswer: -215649\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*t - 29. Let g(c) = -2 + 4 - t. Let s(r) = -r**2 + r - 4. Suppose 5*n + 2*p - 8 + 31 = 0, 0 = 5*p - 5. Determine n*g(l) + 2*s(l).\nAnswer: -2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 47*j + 84. Give d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59777294 and 348?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-12) - (-6)\/9. Suppose -l*q + q = -180. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r - 17. Let c be a(13). What is the highest common divisor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -55\/1239?\nAnswer: -55\/1239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5)\/((-68)\/32 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11370 take away 5?\nAnswer: -11375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6 = -t. Let u(i) = i + 6. Let s be u(t). What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 10*j + 4. Give r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110101010011 (base 2) to base 9.\nAnswer: -54558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 643\/5. What is the closest to -2\/3 in 6, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 6*k + 24. What is the lowest common multiple of b(0) and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:41 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -394*w + 389*w + 2*q - 4, -15 = 3*w + 3*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4401131883 to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1859580789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/93331 and -16\/77.\nAnswer: 1026641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) -5 (b) -0.2 (c) 4 (d) -2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-2839)\/221 - -6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6602*u*w*y**2 + 2190*u*y**2 - 2*w wrt w.\nAnswer: -6602*u*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 198689044 divided by 49672261\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 8*l - 5. Let b be r(7). Suppose 1 = 2*z - 4*u - 9, 3*z + 4*u + 15 = 0. Let q be (z - 0) + -2 + 4. Which is bigger: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37\/2*(1 - 92). Let b = l - -1637. What is the common denominator of -65\/14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -37. Let d be -3 + 0 + 3 - g. Let u = 19 - d. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 62*s + 280. What is the remainder when 1635 is divided by j(-64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 4*t - 7 = 5*o + 14*t, -32*o + 6*t + 14 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-42))\/(i*i\/(i**(-9)*i)*i))**(-4\/5))**(-5\/3) assuming i is positive.\nAnswer: i**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 12) to base 6.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 67*h + 3. Let m be y(-1). Let t = m - -62. Is 9 a factor of 927\/18 - 3\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*c + 10, -c + 2*d = c - 10. Let r be c - (-1)\/(-3) - (-558)\/54. Suppose 2*x = -0*x. Sort x, -3, r in increasing order.\nAnswer: -3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 51641505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/702 and -68\/3861.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/5)\/((-13)\/195*-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**17*(o**(1\/4)*o*o)**(-14\/5))\/((o**(-7\/4)\/o**(-1\/3))\/(o\/(o*o**(2\/9)))**(-1\/10)) assuming o is positive.\nAnswer: o**(-2449\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34284*t*y - 8825*t wrt y.\nAnswer: -34284*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - 0.04. Let s = r + 0.02. What is the nearest to s in -0.1, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (9 - -4 - 11) - -8 - 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 0*q + o = -16, -4*q + 32 = 4*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 12. Calculate the remainder when 10 is divided by p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13478*d**2 - 307. Let o(u) = -2*u. What is o(w(t))?\nAnswer: 26956*t**2 + 614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 532.6449 hours?\nAnswer: 1917521.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, 4, 2\/15.\nAnswer: 0.1, 2\/15, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r**2 + 94*r + 106. Let v be u(-7). Sort 10, -4, 4, v in increasing order.\nAnswer: -4, 4, 10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(5))\/sqrt(7) - sqrt(4))\/(sqrt(162) + (sqrt(162) + sqrt(162) + sqrt(162) + 3*sqrt(162) - sqrt(162)) + sqrt(162)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 p when four letters picked without replacement from ppvvvpdp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2\/3*-1*(-69)\/(-6808).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, -1.\nAnswer: -29, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20675, 21495, 22327, 23177, 24051, 24955?\nAnswer: 25895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6058441.\nAnswer: 47, 128903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 41 = 43. Solve -16 = p - x*p - 2*w, -5*w + 28 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + 574\/49. Let w be (54 + 18)*(-1)\/(-2). What is the greatest common factor of w and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 + a + 13. Determine v(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1761433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 915350 (base 11) to base 3\nAnswer: 2202202001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 0.07?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 - 4*a - 6. Let r be (-100)\/(-24) + 2\/(-12). Suppose 0 = m + z - 3, 0 = 3*m - m - r*z - 24. Determine l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + 0*q - q + (0 - 1 + 2)*(-q - 2*q + 2*q) + 4 - 3*q - 4 + 2*q + 2*q - 2*q to j + a*q and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i + 282*i - 290 = 1990 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.038*0.040199.\nAnswer: -0.001527562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(725\/365 + -2)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-10 + -5 - -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5321504 (base 6) in base 2?\nAnswer: -111111011000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + (sqrt(1573) + 0 - sqrt(1573)) - sqrt(1573)) + -5)**2.\nAnswer: 440*sqrt(13) + 7945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 2. Let t(n) = -14*n + 2. Let c(m) = 58*m - 6. Let g(d) = -2*c(d) - 9*t(d). Let j(f) = -g(f) - 3*x(f). Let w(b) = -7*b**2. Determine j(w(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1\/((-10)\/55)). Suppose -5*h + 4 = -2*d, 5*h - 5*d + 2 - 12 = 0. Let z = 32 - 65\/2. What is the third biggest value in h, 2\/5, x, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d02 - b0?\nAnswer: 1c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -69*b**2 - 3*b - 5. Let h(o) = -9*o + 32841*o**2 - 7 - 32945*o**2 + 5*o. Determine -5*h(v) + 7*l(v).\nAnswer: 37*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11*z**2 + 0 - 2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p, -2*d - 4*p = -0*d - 36. Let x = d - 6. Suppose -23 = -2*k + 17. What is the lowest common multiple of x and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189124.\nAnswer: 2, 13, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-64.2\nAnswer: -64.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -15, -8, 13, 54, 121, 220, 357?\n\"Answer: d**3 - 2*d**2 - 2*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -860661.\nAnswer: -25\/860661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 - -10 - (1 + -2). List the prime factors of (0 + x)\/(-2) - -29.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = d, 330*u - 327*u - 4*d - 29 = 0. Solve 6*b = -u*b - 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0585 + 0.007. Is 0 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -3*g - 38, 4*z - g - 66 = 0. Suppose -h - 4 = -7. Suppose 38 + z = h*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 1. Let o be s(-3). Let h be 2\/o - (-85)\/25. Let j(y) = 2*y - 3*y + h*y. Let b(q) = -q. What is b(j(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 4*h**2 + 69 + 9*h.\nAnswer: -4*h**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -19, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44621181917262 - 44621181917262 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5380)\/40350*(-19650)\/20\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 23. What is the remainder when 1274\/39 - 8\/12 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2. Let f be (3 - (-3)\/(-3))*1. Let t(d) = 11*d**2 - 19*d**f + 11*d**2. What is t(s(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from dubbbdbudi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3246 + 267*z + 1600 + 1656)*(z + 1 - 1).\nAnswer: 267*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2 - 3 + 0*a**2 - 11*a**2. Let r be y(-2). Let k = 76 + r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:34 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i**3 - 150 - 142*i**2 - 86*i**2 - 183*i**2 + 110*i**2 - 485*i - 5*i**4 = 0. What is i?\nAnswer: -5, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*2\/(54\/31). Let d = a - 5\/9. Calculate the common denominator of 93\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 + h + 7. What is g(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-380)\/(-57). Let m(p) = 3*p**3 + 5*p**2 - 4*p + 9. Is m(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/17*(190\/266)\/((-20)\/(-12))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.017?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 - s + 1. Let i(h) = 10*h - 1. Calculate the remainder when t(-2) is divided by i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -9*h - 140. Suppose 0 = h*k - k + 8*k. Suppose -15\/7*w**3 + k - 3\/7*w**4 + 0*w**2 + 0*w = 0. Calculate w.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - c**3 - c**2 - 3*c - 2. Suppose -4*x = 5*r + 6 - 23, 0 = -2*x - r + 1. Calculate f(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - 3*y**2 + 2*y + 2. Let t = 874 + -873. Let d(c) = c**3 + c**2 - c - 1. Calculate t*x(j) + 2*d(j).\nAnswer: 6*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15792 and 22560.\nAnswer: 157920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117 - 19) + (-42 - -28) + -13.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/20*1*-8*1. Suppose 47 = -3*y - 3*i + p, 5*y + 40 = -2*i. Let u(x) = -x - 3. Determine u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 divided by -236.\nAnswer: 104\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-65) + 101\/(29795\/118)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1786 divided by -893.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 45. Suppose 3*b + i = 5*f, -f + 2*f - 5*b = 4. What is the tens digit of f\/(-14) - (-100)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2879841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a**3 + 7963*a**2 - 1074*a - 6355. What is g(-531)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p**2*p*p\/((p*p**(-2\/13))\/p)*p**(-2\/13)*p assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 208756520*r**2 - 2723705498913408*r - 5447410162800768.\nAnswer: -4*(r + 2)*(r + 26094564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429234121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 292*k + 2312. Let b be g(-8). Let y(h) = -h**2 - 24*h + 23. Give y(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 48*b**2 + 4*b - 1046. Calculate c(-25).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -1499282?\nAnswer: 1499285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9188 - -14528. What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(35) + sqrt(385)\/sqrt(11))*3 + sqrt(35))\/(1*sqrt(7)*-3).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1109 * -13273.\nAnswer: 14719757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 - 13*b**3\/2 + 3*b**2 + 36*b.\nAnswer: b*(b - 12)*(b - 3)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -846758, -1693535, -2540312, -3387089, -4233866, -5080643?\nAnswer: -5927420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1517 + 2224. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11446\/21 - 547. Suppose 48 = 10*u - 6*u. Find the common denominator of (177\/u)\/(60\/(-16)) and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*k - k, 3*v - 3*k = -21. Let r(a) = -2*a**2 + 1. Calculate r(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633 divided by -71354.\nAnswer: 633\/71354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/5 - 3128*l**2\/5 - 246887*l\/5 - 48752 = 0.\nAnswer: -3047, -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 13*j**2 + 18*j - 24. What is the remainder when s(-15) is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.5 - 8. Let k = v + 1. Which is the nearest to 1? (a) k (b) 4\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/106047000 and -149\/53023500.\nAnswer: 106047000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 74*a + 111. Let j(c) be the third derivative of c**4\/24 + c**3\/6 + c**2 + 3356*c. Determine 111*j(y) - k(y).\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1125667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 161\/(-180) - (-4)\/20. Let x = r + 7\/12. Which is the nearest to 1? (a) 4 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 176. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22265 divided by -4453?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a*u**3 - 5*a*u + 5127*a*z + 21*u**3*z - 14384*u**2*z - 130*u wrt u?\nAnswer: -60*a*u + 126*u*z - 28768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59944.8s in microseconds?\nAnswer: 59944800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 2. Suppose 0 = -k, -3*i - k = 22 + 2. Let p be v(i). Let c be 1*4\/p*-3. What is the third smallest value in c, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/52 - (-2350)\/(-5499).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16262058?\nAnswer: 2, 3, 23, 117841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g - 2. Let s be c(5). Suppose -25 = -5*n + 3*q + 49, -s*q = 3*n - 30. Let w = n - -8. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/29 or 0?\nAnswer: -13\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1) - 1450\/696?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 4, p: 2, j: 1, g: 4}. What is prob of sequence pgdd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694000 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - (2 + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a factor of 6436903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85, -169, -253, -337, -421?\n\"Answer: -84*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 131, 128, 123, 116, 107, 96?\n\"Answer: -p**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, z: 2, u: 2, p: 1, c: 1, f: 1}. Give prob of sequence cp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672593.\nAnswer: 672593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -841983 divided by -841983?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -522 and 125635432054?\nAnswer: 125635432576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - -10.02. Let g = -10.1 + b. Let c = 3.1 - 3.1. What is the closest to 0.1 in g, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 1 f when three letters picked without replacement from yvsovfe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 - 1405 = -54*c. What is the lowest common multiple of c and 145?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -60. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1859 - -2930. Let i = 2858 - d. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16892*n + 2826*n - 1748*n = 790680 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f + 42. Let m be p(-10). Let n(j) = 6*j - 35. Let a(k) = k - 7. Let x(h) = 11*a(h) - 2*n(h). Give x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 15*b - 2*t - 2 = 0, 3*t + 18 = 0. Solve v + 2*s - 1 = 0, -b*v + 4*s = -9*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-168)\/(-21))\/((-1)\/((-3)\/(-9))))\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938215 is divided by 2360.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzuzzuzzz. What is prob of sequence uz?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 5838432 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 61030*x + 244200.\nAnswer: -5*(x - 4)*(x + 12210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.81 - -1.8341. Round x to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)\/p)**(-20)*p\/(p\/(p*p**(-10))*p)*p**(-5\/2) assuming p is positive.\nAnswer: p**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - 110\/(-7). Let g = m + 4. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 36*m - 35*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:53 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -153, -239, -347, -471, -605, -743?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 4*t)*(-6 + 1 + 2) + 7851 - 7851 - 144*t + (2*t + 0*t + 0*t)*(-6 - 3 + 2).\nAnswer: -161*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhher. What is prob of picking 2 h and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 1240?\nAnswer: 1239.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87245*b + 4*b**3 + 7937*b - 16628*b.\nAnswer: 4*b**3 + 78554*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-14 + 5 + -4 + (16 + -26 - -13))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - a**5 - 81*a**3 + 81*a**3 + a**5 + (a - 3*a + 0*a)*(-9*a**2 + 9*a**2 + 6*a**4).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 850278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116421\/8 + 24334781\/1672. Let c = -8473\/2852850 + -1\/4550. Let w = c + h. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.97 - 0.03. Let q = -0.8 + 1.1. What is the third smallest value in q, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uxxuuuuxuuuuuxuuxx.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/4, 4, -3\/5, 447\/7, -0.8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Suppose 4*i + v = 16. Suppose -5 = -5*p - u, -p + u + 11 = i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -o - 15, -7*o - 45 = -3*o - d. Let y be -319*(o\/(-4) - 2). Let s = -1313\/8 - y. Find the common denominator of -43\/2 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 + 24*b + 12. Calculate r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1. Let z(h) = 12*h - 2. Let f(y) = -2*u(y) - z(y). Let o be f(-3). What is the common denominator of o\/7 + 1 + 2 and -71\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaf. Give prob of picking 2 g and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -13.9 (b) 2\/3 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -324, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, q: 6, t: 3, x: 3}. What is prob of picking 3 q and 1 t?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, 0.5, -1\/2, -1, 1607\/5, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42773 + -42794.981. Let z = m - -22. Let c = z - 0.0148. What is c rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 - -175. Let n(k) = -k**3 - 6*k**2 - 14*k - 5. Let p be n(a). Solve 9*j + p = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*p + 2*p - 11, -3*p - 2*y = -14. Let j be 8*(1 + (-2)\/p). Solve 3 = -5*m + 4*a, 3*m = m + j*a - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21.39 and 80.\nAnswer: 58.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14)*1\/((-9)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-21)\/9*-3. Suppose -o = 3*u - 11 - 3, -c*o = 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -9\/8*z**4 + 0 + 3*z**2 - 5*z**3 + 0*z. Find the first derivative of f(q) wrt q.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*w - 5*m, 114034 - 114031 = -2*w + m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)*i**(2\/43))\/(i**(7\/2))**(-3\/2) assuming i is positive.\nAnswer: i**(6549\/1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 18*l - 37. Let f be n(-15). Suppose -3*v + f = -v, 3*q - 16 = -v. Solve r = -z + 4, 5*z + 3*r - 8 = q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 46*b. Let n(q) = 6630*q - 1. Calculate n(o(i)).\nAnswer: 304980*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*y**4 - 36*y**4 - 5*y**4 + (-y - 4 + 4)*(-2*y**3 - 3*y**2 + 3*y**2) + 2*y**3 + 2*y**4 - 2*y**3 + 3*y**4 - 6*y**4 + 2*y**4.\nAnswer: -51*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7)*n*n**(3\/5))\/((n\/(n\/(n\/(n**0\/n))*n*n))\/n)**(2\/41) assuming n is positive.\nAnswer: n**(2571\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, 3\/7, 0, -1\/3, -59395?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(2057)*-1 - sqrt(2057))*2 + -3*(0 + sqrt(2057) + -3 + sqrt(2057) + sqrt(2057) + sqrt(2057)).\nAnswer: -110*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 4*a + 0*a + (1 - 3 + 0)*(3 - 2*a - 3))*(49*a**3 + 72*a**3 + 31*a**3)*(3 + 3 - 4)*(3 + 2 - 4).\nAnswer: 1824*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 352374 = -3*j + 13386, -2*p = -j - 113006. What is j rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(140\/(-15) + 6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 5. Let i be c(7). What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32519658 - 0.5\nAnswer: 32519657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10433 divided by -1?\nAnswer: 10433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {c: 1, i: 1, j: 3, m: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 32*z**2 - 4*z - 30. Let m be k(27). Suppose -4*b + b = -m. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Suppose -m - 4*l = 29 - 10, 17 = -k*m - 4*l. What is the nearest to m in -2\/9, -1, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-90)\/40)\/(85\/(-20) - -4). Solve -6*c + 2*c - k = t, -25 = 4*t + 5*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44995900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966007 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20224\/(-160))\/(-79)*210\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607 is divided by 791.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16230*l**2 - 16143*l**2 + 31779*l**2.\nAnswer: -594*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/433? (a) -0.4 (b) 5 (c) -7 (d) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-10))\/(1\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 11, 15, 29, 59, 111?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*w, 10*w - 14*w = f - 12. Suppose 4*l - 2 - 6 = 0. Suppose 2*t - 1 = -2*n + 5, -l*n + 10 = -2*t. Calculate the least common multiple of n and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 195.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 668 and 5678.\nAnswer: 11356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84\/(-4)*14\/(-21). Which is the nearest to n? (a) -5 (b) -0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 729, 872, 1111, 1446, 1877, 2404, 3027?\nAnswer: 3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - 39. Let l(a) = 7*a - 3. Let h be l(1). Solve -w = 5, -3*q + 2*w - p = h*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 93, -2, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 3*j - 2*j + 0*j. Let z(l) = -6*l**2 + 24*l + 24. Let k(h) = h + 1. Let i(t) = -24*k(t) + z(t). Calculate i(y(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = -9004335 + 34744465. Suppose -f - y + 739169 - 79171 = 0, 3*f - 5*y = u. What is f rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 97*s + 115. Let q(d) = -d. Give q(c(l)).\nAnswer: -97*l - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 41*n - 51. Let b be w(-37). Find the third derivative of b*d**2 - 60*d**3 + 5*d**2 - 32*d**2 + 6*d**2 wrt d.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179274978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 11*f + 7. Let s be h(-11). Is (-4)\/2 + s + 1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from emmeebkxbhm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 bigger than 281\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*v**3 + 8*v**3 - 5*v**3 - 4*v**3 - 4 wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert be153 (base 16) to base 9.\nAnswer: 1416007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426811389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + -52 - (12 + -10 - 9).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(100)*-3 + sqrt(100))\/sqrt(4))\/(sqrt(405) - (sqrt(405) - (sqrt(405) - (sqrt(405) - -3*sqrt(405))))))**2.\nAnswer: -40\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 16*q**4 - 1161*q**3.\nAnswer: q**3*(q - 27)*(q + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1785 + 1783. Which is the closest to i? (a) 1\/2 (b) 3 (c) 1 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.17 (b) 4 (c) -1 (d) -0.03 (e) -33.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:56 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13916 divided by -1239\nAnswer: -1988\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/35 + -8\/35. Let w = 45 - 30. Let f = 15.3 - w. Put i, f, -0.1 in increasing order.\nAnswer: i, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from ijcecnm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 2. Determine y(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anfa when four letters picked without replacement from anqanfnnqaiqaa?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4)*(-2 + 1). Let q(y) = -999 + 999 + 10*y - y - 5*y**2. Let z(m) = m**2 - 2*m. What is g*q(s) + 9*z(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/(-49) + 6\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11\/2, 3, 0.103, -23?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1005.8 - 1005.8. Which is the biggest value? (a) 0.4 (b) -2\/385 (c) -4 (d) h (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253256 is divided by 122.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 2) + -3 + -4. Does 11 divide 405*(12\/n)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 3283*u**3 + 1173*u**2 - 2*u - 2?\nAnswer: 240*u**3 - 19698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 53 + 2 = 5*g, 0 = -j + 5. Let m be 7\/(-21) + g\/3. Suppose -2*a + 4 = a - m*u, 2*a - 5*u = 5. Let q(i) = -i - 4. Determine q(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 36*g**2 + g**3 + 6*g - 29*g**2 + 7 + 0*g**3. Suppose 4*d + 32 = -2*f, -5*d - f - 42 = 2*f. Give n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35654875 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 234*o - 13689.\nAnswer: -(o + 117)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from ldllddvvldclldnddlv?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 58, 84, 114?\n\"Answer: 2*j**2 + 16*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 21*h = 16*h + 13, -5*h + 7 = d. Is 12\/d - 13\/(-26)*7906 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 2147?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and 1.5.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let a(c) = 2580*c**2 - 172. Let l(x) = 89*x**2 - 6. Let r(d) = 3*a(d) - 86*l(d). Calculate r(w(v)).\nAnswer: 86*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 798\/(-112) + (0 - 0) and 382\/30 - 1\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355539540 by 4.\nAnswer: -88884885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8113.749km?\nAnswer: 8113749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -162*h + 13. Does 19 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l + 4*f, -3*l - 2*f = -0*l - 2. Solve -o - l*n + 8 = o, 3*n = o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(7*(-6)\/84).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + 1.3. Let h = -146.93 + 151. Let w = h + -0.07. What is the second biggest value in u, w, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11943.96 - -11944. What is the closest to 3\/320 in -2, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.87\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -4 + -3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o + 66. Let s be v(-7). Solve 6*u + s*m = u - 19, 4*m - 3 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, 4, 1, 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 3*g + 3*g + (1 + 0 - 6)*(2*g**2 + 0*g**2 + g**2).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716484?\nAnswer: 2, 7, 11, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a65012 (base 12) in base 8?\nAnswer: -25307716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589436292 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26360, -26310, -26230, -26126, -26004, -25870?\n\"Answer: -q**3 + 21*q**2 - 6*q - 26374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:20 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45636 is divided by 1267?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 11*p**2 + 9*p + 14. Give h(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 478614, 1 in descending order.\nAnswer: 478614, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 1.7, -0.05, -1\/90, -3, 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z + 109. Let x(m) = -m. Let q be x(6). What is the hundreds digit of g(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*y = 64, -4*y + y = 4*w + 128. Let k = 5 + w. Is -28 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1092.5 + 1136.93. Let j = t - 44. Round j to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 775950 and 3?\nAnswer: 775950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 4*x - 2 - 5*x - 18*x in the form t + w*x and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4055216 nanoseconds to seconds.\nAnswer: 0.0000000004055216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 + 3*w**2)*(-4*w + 5*w + 11*w) - 3*w**3 + 2*w**3 + 4*w**3.\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13 - -19)\/(5 - 60))\/((-78)\/(-520)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 3.4. What is the biggest value in d, 5, -5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/112)\/((115182\/8505)\/158)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*h + 11*h. Put h, 0, 1, -4 in descending order.\nAnswer: 1, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25714800 and 2057184?\nAnswer: 51429600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-9)\/891)\/(8\/12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663.422 centuries in millennia?\nAnswer: 166.3422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 12. Suppose -j*y + 0*y = -104. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-12)\/((-108)\/(-18)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 159.\nAnswer: 27984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let c(f) = -9*f + 1. Determine -c(x) + 4*w(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 10620*h**2 - 31861*h**2 + 10617*h**2 + 10624*h**2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-196))\/((144\/(-63))\/8). Sort -5, 1073, a.\nAnswer: -5, a, 1073","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from iiaiaiaiiiaai.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-746)\/1119)\/((-60)\/306)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*h = -h - 13, -2*g + 4*h - 2 = 0. Suppose g*y + 0 - 10 = 0. Let w(t) = -t**3 + 2*t - 2. What is w(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 4625*o**3 + 1427580*o**2 + 147513520*o + 146090560.\nAnswer: 5*(o + 1)*(o + 308)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 28, 36, 48, 64, 84, 108?\n\"Answer: 2*m**2 - 2*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*v + 25, 3*q + 27 = 12. Solve j + 25 = -4*j, -y + 3*j + 10 = v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10537 - 129877 = -296*i + 36*i. Calculate the remainder when i is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296*w**5 + 5*w**2 - 52 wrt w.\nAnswer: 17760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s. Let a(c) = -c. Let u(t) = 4*a(t) - p(t). Let f(n) = -n**2 + 12*n + 2. Let k be f(12). Let d(h) = 3*h. Calculate k*d(b) - 7*u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 14368490 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 284 + 6*i - 5*i - 89 - 185 - 276.\nAnswer: i**2 + i - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b**(3\/7)*b)\/b))\/b)\/(b\/(b*b**(-6)\/b)))\/(b*(b**(2\/11)\/b)\/b*(b*b\/(b*b**(-6)*b*b))\/b))**(-47) assuming b is positive.\nAnswer: b**(38399\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-30)*(1 + 2) + 5105. Suppose -17*s + s = -f. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 2.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 12. Let z(i) = i - 1. Calculate l(v) + 5*z(v).\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**3 + 24*i**3 - 109*i**3 + 20*i**3 + 20*i**3 + 14*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8080 and 2525.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17 + -14 + -1 + 46 and 17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = z - 2*y, -z - y - 2*y + 23 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(5) + -1 + (sqrt(245) - (0 + sqrt(245) - sqrt(245) - sqrt(245) - sqrt(245))) + sqrt(5))**2.\nAnswer: -18756 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001111111101111 + 100?\nAnswer: -110001111111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 231 = 11*y. Suppose d = y - 15. Suppose 14 = w + d. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*g = -6, 0*i + 2*g = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10412 in -2\/11, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 11. Is (1\/g)\/(2\/(-424)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24865 - -0.273627. Round z to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -304 + 301. Is (h + -1211)\/(5 - (6 - -1)) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((l*(l\/((l*l**(4\/3)*l*l)\/l))\/l)\/l)\/l*l)\/l)**(-11\/4))**42)**(-17) assuming l is positive.\nAnswer: l**(-17017\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.948 - -0.052. Let j = 0.227 - 39.527. Let i = j + x. Which is the smallest value? (a) i (b) -1 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -0.06 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 117. What is the third smallest value in 3, -1\/3, 1, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 2*g**2 - 1. Let x(i) = 13428*i**3 + 11936*i**2 + 5968. Calculate 5968*l(v) + x(v).\nAnswer: 1492*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86095 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*k - 25 = 7*m, 0 = 2*m + 5*k - 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3088 - 812 = 130*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150231892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1638*z = 2082*z + 580*z + 516000 for z.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**9\/2016 - c**8\/280 + c**7\/112 - c**6\/120 - 11*c**3\/3 - 10. Let a(y) be the third derivative of x(y). Factor a(n).\nAnswer: 3*n**2*(n - 2)*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127.104*-916.\nAnswer: -116427.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 266674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - l + l)*((0 + 1 + 1)*(1 - 2 + 0) - 44 - 595 - 364) to i*l**2 + m + u*l and give i.\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115999.\nAnswer: 13, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139894, 139784, 139678, 139576, 139478, 139384?\nAnswer: 139294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/24 + 3*w**3\/2 - 4*w**2. Let z be h(5). Let t = 1 - -1. Put t, z, -2 in descending order.\nAnswer: z, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/114 + 2782\/(-6). Let k = -320 - w. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -2.1. Let d be (2 + 0)\/(2\/4). What is the nearest to x in -4\/7, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4610*a**3 + 9215*a**3 - 4607*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1540 and 32.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -13*k**4\/24 - 4*k**2 - 7*k. Let j(f) = -1979 + 1979 - 2*f**2. What is m(j(y))?\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**3 - 6*x**2 + 3*x - 6. Let g(b) = b**3 + b**2 - b + 1. Let l = 3 + 3. Let r(t) = l*g(t) + k(t). Find the second derivative of r(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1289 and -114?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r + 30 = 41*r. Let k be (-4 - (-8)\/(-12))\/(r\/(-9)). Let w be ((-63)\/(-3))\/(2 - 1). What is the highest common divisor of k and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, -63, -1, -14, 5 in ascending order.\nAnswer: -63, -14, -1, 5, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.28 - 17. Round o to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 4626?\nAnswer: 69390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-49)\/(-196) - (1 + -1). Find q, given that 0*q**2 - 1\/4*q - s*q**5 + 1\/2*q**3 + 0*q**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j - 15 = -128*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fljjffjlfj. Give prob of picking 1 f and 2 l.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 6*q**2 - 5*q - 3. Let d be f(3). Which is bigger: d or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178400000 to the nearest 1000000.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-3))\/(14\/(154\/33)). Factor 6*k + 3\/2*k**u - 3\/2*k**3 - 6.\nAnswer: -3*(k - 2)*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6328736?\nAnswer: 2, 197773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 10. Let s(k) = -3*k - 11. Let o(h) = 4*a(h) + 3*s(h). Calculate o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01178 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12271681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s - 116 + 116 in the form w*s + q and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23124)\/(-120))\/41 + (-3)\/(-10). Put -23, -4, 7, 0, f in decreasing order.\nAnswer: 7, f, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34818 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 3*m**2 - 5*m**2)*(4 - 4 + 12*m).\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/24 and -83\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 87.\nAnswer: 34\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -o - 5*l, 0 = -4*o + l + 5 - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Let q be (1 + 1)*34\/17. Which is the nearest to 2\/7? (a) 1\/10 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16457, 65719, 147847, 262829, 410653, 591307, 804779?\nAnswer: 1051057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(104)*1)\/sqrt(8).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*4\/(-26))\/(-1). Let c = -0.05 + 0.55. Put b, -1, c in increasing order.\nAnswer: -1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1702 = -27*z + 8992. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 338 - 328. Let t be j\/4*392\/140. Let h(a) = 11*a**2 + 3*a - 7. Let z(v) = 3*v + v**2 + 4 - 6*v**2 - v**2 - 4*v. Determine t*z(g) + 4*h(g).\nAnswer: 2*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4 + 2 + s + 2*s + s**2. Suppose -15*h + 364 = -45*h - 61*h. Give c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -302*i + 1902. Calculate the remainder when z(6) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 48, 94, 166?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2 and 1\/7111?\nAnswer: 14222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -20 - (-2 + -4)\/3. Let x be 3\/c + (-1084)\/(-24). Calculate the highest common factor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 6:33 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*u + 6*u - 3068131 = -927931. Is 90 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 19. Let n be v(-10). Let c = n + 5. Find the second derivative of -6*f - 8*f + 16*f**4 + 2*f**c wrt f.\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -41*p - 2. Let t(j) = -41*j - 3. Let c(q) = 4*k(q) - 3*t(q). Let n be c(-1). Suppose -n = -0*a - 3*a. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(300))**2 + (4*sqrt(363) - sqrt(363))**2.\nAnswer: 80*sqrt(3) + 3583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3908139 and 4\/1302713.\nAnswer: 3908139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + (-4 - 2))*-2. Factor -16 + 8*m**3 + w*m**2 + 14*m**3 - 16*m + 11*m**3 - 29*m**3.\nAnswer: 4*(m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -95, -258, -497, -818, -1227, -1730, -2333?\nAnswer: -3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**3 - 307*n**2 - n + 69. Is s(27) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 4. Let s be 1\/4 - (-130)\/(-8). Let y = 47 + s. What is the remainder when y is divided by g(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 10*s**2 - 2*s + 6. Suppose -3*n - 19 + 61 = -3*w, -4*n + 3*w + 52 = 0. Let d be b(n). Put 3, 0, d in decreasing order.\nAnswer: 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225046 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 16*b**2 - 15*b + 21. Determine m(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 2\/5 (d) 1 (e) 5 (f) -50\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 418 + 9*r - 462 - 2*r - 3*r in the form c*r + v and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30477 divided by -236.\nAnswer: 30477\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let t be (6\/4)\/((-1)\/a). Let v = 18 + -13. Solve 5*n = 3*z - 4, 4*n + 14 = t*n + v*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3477008?\nAnswer: 2, 217313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69044, 276013, 620966, 1103909, 1724848, 2483789, 3380738, 4415701?\nAnswer: 5588684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*y**2 + 64*y**2 + 72*y**2 + (-3 + 3 - y**2)*(1 - 1 + 1) + (-3 + y + 3)*(6*y - 4*y + 7*y).\nAnswer: 129*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221.2 - 256. Let k = o + 35. Put k, -1\/4, -6\/13 in increasing order.\nAnswer: -6\/13, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -16, 1\/7, 0, 14104 in ascending order.\nAnswer: -16, -1, 0, 1\/7, 3, 14104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f + 6. Let w(n) = -43*n**3 - 5*n**2 + 7*n - 29. Determine 5*b(k) + w(k).\nAnswer: -43*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 24585*a**2\/4 - 151093263*a\/4 + 151117849\/4.\nAnswer: -(a - 1)*(a + 12293)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165452138, 165452146, 165452156, 165452168, 165452182?\nAnswer: 165452198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 32*q - 26*q - 15 + 23*q - 76. Is x(16) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 8*o**2 + 4*o - 8. Let j be (-1 - -9) + 0\/(-3). Suppose j = 2*q - q. List the prime factors of w(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5730868 and 1144.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j**4 - 76*j**3 - 112*j**2 - 48*j = 0 for j.\nAnswer: -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2375.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-12)*(517\/(-33) + 12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1000000011010001001 (base 2) to base 12\nAnswer: -108809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 39*a = 4*k + 17, 22 = 2*a - 4*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8801 by -6.\nAnswer: -8801\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 5 - 2*u + 1 + 3*u. Let z be o(0). Let f(r) = -2*r + 1. What is the units digit of f(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 50, 3, 7\/8, 34, -4?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14988 = -0*j. Let q be (-2)\/3 + 225113\/30. Let f = j - q. What is the common denominator of -53\/7 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 784026730 and -5.68.\nAnswer: 784026724.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 10 = -p, -2*p + 9*c + 102 = 147 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 369796?\nAnswer: 3328164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - k - 8. Let n(q) = -q**2 - q - 4. Let s(h) = 5*n(h) - 3*x(h). Let g(t) be the first derivative of s(t). Differentiate g(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 15*l**5 + 22517855*l**4 + 412822390*l**3 + 135105480*l**2 = 0.\nAnswer: -1501172, -18, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -109*w + 10. Is n(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162321*c + 246*c**2 + 405*c**2 - 161673*c wrt c?\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -7)*(6 - 8). Let n = a + -12. Is (-1509)\/(-4) + 3*n\/(-48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*l**2)*(-6*l + 8*l - 4 + 8*l) as k + h*l + r*l**2 + c*l**3 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + -3 + sqrt(72))**2 + 2*(sqrt(72) - (4 + sqrt(72)))**2.\nAnswer: -60*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - v**3 + 35 - 2*v + 270 to u*v + q + i*v**3 + f*v**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 296 = -24. What is the remainder when 19 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47517380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21733 divided by -6\nAnswer: 21733\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -18 - c - 1\/3*c**3 + 1\/2*c**2. Suppose -2*p - 3*p = 0. What is r(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(12\/4)*0. Solve m*z = 3*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0 - 2*q**2 - 2*q + 2 + 0*q. Let x be (-1)\/(-2)*(-6 + 2). Calculate j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u**2 - 38*u + 2. Let i(p) = 32*p**2 - 78*p + 4. Give 7*g(x) - 3*i(x).\nAnswer: 2*x**2 - 32*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*g = 170630, -158465 = -4*o - 5*g - 21988. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/10)\/(2\/10). Solve 0 = -3*o - c*m + 22, -m = -5*o + 2*m + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49672 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 a(w) be the third derivative of 7*w**4\/12 + 23*w**3\/6 + 4*w**2 - 4*w. What are the prime factors of a(5)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 857*u\/5 + 32148\/5.\nAnswer: -(u - 893)*(u + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z. Differentiate 20*n**2 + 18 - 4*n**2 + z*n + 0*n wrt n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 12:53 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504046813.\nAnswer: 6481, 77773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18484145*p**5 + 163389*p**2 - 2*p wrt p?\nAnswer: 1109048700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:55 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 25*q + 252. Let b be p(-10). Let x(d) be the second derivative of -d**2 + 0 - 1\/2*d**3 + b*d - 1\/4*d**4 + 1\/20*d**5. Determine x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23\/3)\/(3\/27). Suppose -3*o + 267 = c. Find the second derivative of -o*z**3 + z + 77*z**3 + 11*z + 2*z wrt z.\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k + 0*k**4 + 4 - 1\/2*k**2 - 1\/5*k**5 + 0*k**3. Find the second derivative of w(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*b = -52, 0*b + 16 = z + 4*b. Let f be z\/(8 - 4) - -1. Is f at most 15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-86)\/4)\/(((-3)\/6)\/1). Let w = v + -38. Solve 23 = -4*i - 5*m, 0 = -i - 3*m - 6 - w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 205272*s - 1436944. Determine z(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-h**2 + 4*h**2 + 3 - 4).\nAnswer: -9*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*o**2*r - 133*f**2*o*r**2 + 15*f*o**2*r**2 + 2*f*o*r**2 + o**2*r + 4 wrt f.\nAnswer: -10*o**2*r - 266*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + 4. Let i be j(-1). Let s be ((-4)\/i*17)\/((-9)\/(-45)). Let p be 20\/40*(-136)\/2. Is s at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1041 + -164. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1174*m**3*p - 253*m**3 - m**2*p**2 + 8*m + 2 wrt p.\nAnswer: -1174*m**3 - 2*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + b - 2*b = 2*g + 8, 57*b - 27*g + 31*g + 370 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 8*g**2 - 8*g + 5. Let u(k) = k**2 + k. Let r(w) = f(w) + 3*u(w). What is the tens digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-184*a + 184*a + 22*a**2)*(3 - 223*a + 112*a + 120*a - 2*a**2) as q*a**2 + m + i*a**3 + v*a**4 + o*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -107.8 (b) -1 (c) 12 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-780)\/273)*(-6)\/(-1)*1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2803, -4, -1 in ascending order.\nAnswer: -2803, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.1 - 72. Let m = -56.085 - -56. Let u = -0.015 + m. Which is the nearest to u? (a) 2\/3 (b) -2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 3.8024, -36?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 1464 + 4408 - 1474 - 1470 + 0*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*f - r + 21, 0 = 3*f - 5*r - 25. Suppose -3*x - 2*x + 225 = 0. Calculate the greatest common factor of f and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247354768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 25 = -5*t, 0 = -t - 5*l + 28. Calculate the remainder when 26 is divided by (18\/(-6) + -7)*t\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 e when three letters picked without replacement from jtgggjjgggjnngne.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -64, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -32.9. Sort i, 1\/5, 2\/11 in descending order.\nAnswer: 1\/5, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.7. Let u = 0 + m. Let o = 40.1 + -40. Which is the nearest to o? (a) u (b) -4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 415?\nAnswer: 3db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*m + 0 - 10 = 0, 3*m = 3*y + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 13 = -d + 4*o, -2*d = -3*o + 10. Suppose g = -5*i + 64, 4*i = -i - 2*g + 68. Let y be ((-18)\/i)\/(2\/(-4)). Solve c + y = -d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaxxxxxaxaaaaxxx. What is prob of picking 4 x?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.562351 millilitres to litres.\nAnswer: 0.000562351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((2\/4)\/(((-30)\/(-366))\/(-5))). Suppose 2*b = z - 6*z + 4, 3*z - 21 = 5*b. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7374 - 5548 = 380*a + 8406 - 4608 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (1*2*sqrt(128) - (sqrt(128) + 1 + 4)))**2 + 3.\nAnswer: -48*sqrt(2) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4690249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -176*(22\/(-16))\/((-1)\/(-2)). Suppose 5*n - c = -4*b + 18, 2 = n. List the prime factors of b.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n - 13. Let u = 16239 + -16261. Let y(t) = -t - 1. Determine u*y(b) + 2*p(b).\nAnswer: 6*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 101.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:26 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127612287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (0 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 + 1392108*r + 2784208 = 0?\nAnswer: -696052, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418.37 minutes in milliseconds?\nAnswer: 85102200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11176 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: Multiply -0.3 and 685259.\nAnswer: -205577.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3615, 29156, 98487, 233502, 456095, 788160?\nAnswer: 1251591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.176215 to 4 dps.\nAnswer: 0.1762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (111\/37)\/(6\/16). Let v be (4 - 8) + (-26)\/(-7). Which is the closest to -2\/7? (a) -3 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (1575\/(-280))\/(-2 - (-116)\/64).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1018*s + 1000*s - 242 = -2546. Calculate the remainder when 352 is divided by s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15)*l*l**(-10)*l*(((l\/l**(2\/5))\/l)\/l)**10)**29 assuming l is positive.\nAnswer: l**(-9512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-950)\/(-1748)*(46*4\/(-40) + 5)\/(-1)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 - 633*b**2 - 849*b - 210842. What is y(-159)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*a - 573 + 29 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684 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: Two letters picked without replacement from hhshhhhhhhhsh. What is prob of picking 1 s and 1 h?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-3 - 12)) + (-24)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1029711044249\/83650830 - -36\/2788361. Let s = v - 12307. Find the common denominator of s and 68\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3025255, -3025271, -3025297, -3025333, -3025379?\nAnswer: -3025435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/20 - n**4\/24 + n**3\/3 + 61*n**2. Give i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -156*n + 2701. What are the prime factors of t(-17)?\nAnswer: 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1052 (b) 2 (c) 0.3 (d) -3\/11 (e) 0.2 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 11. Suppose 4*u + 2 = v, l*u = -v - 1 + 3. Factor 75*r - 7*r + 53*r**2 + 22*r**v + 22*r + 27.\nAnswer: 3*(5*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -14, -24, -38?\n\"Answer: -2*w**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j**2 + 5*j**2 - 3*j**2)*(-16 + 19 + 8) + 0*j**2 - 3*j**2 + 5*j**2)*((3*j - 3*j - j)*(3 - 3 + 2) - 34 + 34 - 14*j).\nAnswer: -208*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = 2*l, 5*l = -3*q + 7 - 27. Let t = 0 + q. Let r be 0 - -2 - (t + 0). Put -5, 3, r in decreasing order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**4 + p**3 + p**2 - p. Let b(k) = -22*k**4 - 9*k**3 - 11*k**2 + 27*k. Let f(q) = b(q) - 5*w(q). Let f(d) = 0. Calculate d.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.179 and -35.5?\nAnswer: -6.3545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(11) + -2) - (sqrt(11) - (sqrt(11) + (sqrt(11)*-2)**2*-5) - (sqrt(11) - ((-1 + sqrt(11) - sqrt(11))**2 + -2)))) + 1.\nAnswer: -208 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:49 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 2. Suppose -4*n = -5*t - 15, 4*n = 2*t + 1 + 17. Let x be v(t). Which is bigger: 5\/22 or x?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -32*n + 6. Suppose 345*p = 445*p + 300. Calculate i(p).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:49 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Suppose -r + h - 1 = 0, -r = 2*r + 5*h + 35. Let p(j) = 16*j - 1. Let g(l) = r*m(l) - p(l). Is g(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 2*j = 68, j - 52 = -4*v. Suppose 15*k - 224 = 256. Calculate the remainder when k is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -16. Let g = 8 - d. Let c(x) = 3*x**3 + 2*x**2 - 2*x - 2. What is the units digit of c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.5 + -27. Which is the nearest to 0? (a) 1 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(4\/14480)*5000. What is d rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 12. Calculate the lowest common multiple of c and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 4961\nAnswer: -143869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -664.4181 to 0 dps.\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2. Let k(c) = -12*c + 30 - 12 - 2*c - 22. Determine k(a(s)).\nAnswer: -56*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, d: 12, u: 1}. Give prob of sequence udr.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:12 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -978013*g**2 + 386*g + 489011*g**2 + 489005*g**2 to the form k*g + q*g**2 + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21316*f**6 + 520*f**3 - 64860681*f**2?\nAnswer: 2557920*f**3 + 3120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 h, and 1 p when four letters picked without replacement from ffhvpxhhvfhz?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 8, v: 1, z: 1, c: 2}. Give prob of picking 2 d.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 13. Let h be j(-3). Let f(p) = -9*p**2 - 6*p - 5. Let a be f(h). Let w be (735\/10)\/((-3)\/a). What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/138)\/(-43 - (-9842)\/228).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 38, 44?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2\/5 - 97*x\/5 - 2112\/5 = 0.\nAnswer: -64, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 11279 = -11615 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.96 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 10*m - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73199487323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -58009.\nAnswer: 3\/8287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7371747 (base 8) in base 6?\nAnswer: -110023515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/84)\/(10\/(-24))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 212 = -148. What is the highest common divisor of n and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 6480.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10554, -21113, -31670, -42225?\nAnswer: -52778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 172 = -m + 2*d, -3*d - 129 = 3*m. Let x = m - -46. Solve 3*k + x = 3*y, 2*k - 3*y = 7*k - 35 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 286*t**2 + 1345*t - 3. Give a(-4).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -346?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*x**2 + 147*x**3 - 125*x**3 - 133*x - 115*x - 18*x**4 + 48 = 0.\nAnswer: -3, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011102222 + -1011222120?\nAnswer: -10100102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55236 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 528202343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125 - 4*n + 2*n - 475*n**3 - 1125.\nAnswer: -475*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2492, -4990, -7486, -9980, -12472?\nAnswer: -14962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-15)*21\/7*(-6)\/(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1164 and -13\/66.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 72 = -68. Let o be (-2)\/3 - (-8)\/3. Suppose 0 = o*a + c - 274. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53098, -53208, -53318?\nAnswer: -53428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 42*a**2 + 67*a - 89. Determine r(-40).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 - 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 24*l**2 - 89*l + 51. What is c(-21)?\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -27. Let l = u + 90\/7. Let t(b) = b - 1. Let s be t(2). Is l at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 4*n - 1. Let f be 10\/25 + (-44)\/10. Calculate q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2*28))\/((-960)\/(-2560))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 + 11*c + 1. Let m be u(5). Suppose -m*h + 3 = -27. Solve -h*p + 2*g = 13, 5 = -p - 0*p - 2*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 - 6. Let s = 0.2 + f. Let w = 0.03 - -0.27. Which is the third biggest value? (a) s (b) 6\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 517 in 0.04, -1\/7, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 40*v**2 - 86*v + 2088. Let i be d(-36). Solve i + 3\/5*z**2 + 12\/5*z = 0 for z.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9408.692mm to centimeters.\nAnswer: 940.8692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 11, 0.23, -3, -1, 0.1, -5, 3\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515\/63322 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -3\/4 (b) -3\/2 (c) 2 (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124544 divided by 2.\nAnswer: 62272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -1 - 1. Let x be (-8 + -2)*z\/(-5). Calculate the highest common factor of 32 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 22*i**2 + 175*i + 2713. What is n(-20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.58907769.\nAnswer: -6.35631076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (-5 - -2) - (1 + -76). Suppose 44*x - 46*x + w = 0. Let a = 14 + -1. Calculate the remainder when x is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 2*n**2 - n. Calculate the remainder when b(-3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 58668544*a + 2151248784424960.\nAnswer: 2*(a - 73335680)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4115 + 30?\nAnswer: 4145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 - -81. Let l = 202.98 + b. Sort l, -2, -6 in descending order.\nAnswer: l, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, c: 7, a: 2}. Give prob of sequence fcaa.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1594 - -1596. Solve -9 = t*u + u - z, 3*z = 5*u + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {w: 2, t: 3, u: 1, h: 2, f: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*q + 13, -2*r + 4*r = 6. Suppose 7*o = 2*o - 2*t + 386, -164 = -2*o + q*t. Suppose -3*g + o = -303. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.649 + -0.351. Sort 4, n, -8\/7 in descending order.\nAnswer: 4, -8\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -15, 0.183, 45?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {f: 1, u: 5, c: 1, m: 1, p: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1718\/13 - -191062\/1443. Let a = 3\/37 + m. Solve -1\/3*s**2 + s**3 + 0 - s**4 + a*s**5 + 0*s = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13046 (base 7) to base 5.\nAnswer: 102324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7 + 13)*(-2*d**2 + 0 + 0).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4422 and 1\/8240.\nAnswer: 18218640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14833382 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + (sqrt(1088) - (-1 + sqrt(1088)))*4)**2 - -1*(sqrt(51)\/sqrt(3) + 4).\nAnswer: 65*sqrt(17) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01195467 to 4 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.1 (b) 0.2 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6162794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Let z(d) be the first derivative of 3*d**2\/2 - 5. Give p(z(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -167, -136, -93, -32, 53, 168, 319?\n\"Answer: f**3 + 24*f - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 + 10313023200?\nAnswer: 10313022213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 3.06. Let s = -0.5 + 0.2. Let k = 0.1 + s. Which is the smallest value? (a) k (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {p: 3, u: 3, y: 1, x: 1, f: 4, i: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) -3\/7 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 3:21 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/12)\/((-1)\/2). Let g = -2 + p. Solve g*d = -5*f + 23, 4*f = -5*d + 8*f - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 33, 42, 41, 24, -15, -82?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x - 21\/2*x**2 + 42. Let u(q) = 3*q**2. What is u(n(p))?\nAnswer: 1323*p**2 + 126*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 1229652788.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76791229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -428, -856, -1284, -1712?\n\"Answer: -428*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -66 + (-3 - (-10 - 3)) - 15.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 1\/27*b**6 - 13\/30*b**5 - 1\/945*b**7 + 8*b**2 + 3\/2*b**4 + 0*b - 5 + 0*b**3. Find q such that s(q) = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 268.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/(-2)*2\/(-5). Let m(w) = w - 7. Let j be m(c). What is k in -2*k**3 - 4*k**j + 4*k**3 - 2*k**2 + 2*k + 2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t)**(-5\/9))**(-3\/23) assuming t is positive.\nAnswer: t**(10\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199636*j**4 + 237735*j**2.\nAnswer: 4791264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3 + 2072*j**2 + 16832*j = 0.\nAnswer: -8, 0, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194894\/3 or 64964?\nAnswer: 64964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443656876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-2))\/(5\/8046). Calculate the greatest common factor of 162 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1549796*m**4 + 1188515*m**2 wrt m?\nAnswer: -37195104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, g: 4}. What is prob of picking 3 g and 1 k?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*11\/(22\/(-6)))\/(9\/4)*12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3777616621?\nAnswer: 16811, 224711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 20883135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 10*c**2 + 25*c - 10. Let l be i(12). Let m(t) = -135*t + 55. Let d(p) = -5*p + 2. Give l*m(s) - 55*d(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let b(m) = 11333285*m. What is b(r(s))?\nAnswer: -22666570*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51 (b) 1 (c) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.85279 decades in months?\nAnswer: 8022.3348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104621, 104657, 104719, 104807, 104921, 105061?\n\"Answer: 13*j**2 - 3*j + 104611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2281 = 14*w - 1835. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296 divided by 74\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cggcccccccccccc. What is prob of picking 1 g and 2 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a**2. Let u(z) = -2*z**2 + 3*z + 12. Let y(s) = 2*s**2 - 4*s - 16. Let w(l) = -4*u(l) - 3*y(l). Give w(b(r)).\nAnswer: 392*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b + 2. Suppose 49 = 5*x + 19. Let a be ((-3)\/x*0)\/2. Let n be v(a). Solve -n*i = -5*w + 8, w + i = -2*i - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1746\/(-140) + (-2)\/(-5). Let m = 78815 + -4964938\/63. Let t = m + g. Find the common denominator of -13\/8 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 2*i**2 + 3*i - 3. Let v be t(-3). Suppose 91 = 21*h + 7. Which is the closest to -0.1? (a) -0.5 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -804*u + 65. Let n(d) = 4022*d - 346. Calculate 16*h(w) + 3*n(w).\nAnswer: -798*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*i + 40987 = 137*i - 39383 for i.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 (base 4) in base 6?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2336557 or 2336454?\nAnswer: 2336454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/3 + 15*i**4\/8 + 5*i**3\/3 - 11*i**2 + 17*i. Let d(l) be the first derivative of j(l). Factor d(f).\nAnswer: 5*(f + 2)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ratmaprppap. Give prob of sequence prpa.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4100221*l**6 + 129252*l**2 - 6.\nAnswer: 492026520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17547*q**2 - q. Let z(g) = -34*g. Give z(c(j)).\nAnswer: -596598*j**2 + 34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 5. Let s(x) = 3*x + 9. Let c(h) = -h**2 - 8*h - 4. Let k be c(-8). Let a be s(k). Sort d, -1, a.\nAnswer: a, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(1 + -2). Let v = -2.9 + 6.1. Let l = v + -3. What is the biggest value in l, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23255, 46553, 69851, 93149, 116447?\nAnswer: 139745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -9, -b - 5*s = -4*b. Solve 3*t = -2*t - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/12 + b**2 + 25*b. Let l(i) = 17*i - 2. What is n(l(o))?\nAnswer: -34*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25753698.\nAnswer: 2, 3, 23, 62207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58399375, -116798754, -175198133, -233597512, -291996891?\n\"Answer: -58399379*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/9 + -11\/36. Sort 2\/11, 2\/9, d.\nAnswer: 2\/11, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 44 = 3*k, -6*y - 2*k + 24 = -2*y. Solve -4*f - j + 0*j = -16, 0 = 2*j - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 50*j**3 + 46 + 339 + 169 - 21.\nAnswer: 50*j**3 + 2*j**2 + 533","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + i**4 - i**3 - 10*i**2)*(9*i + 2*i + 9*i).\nAnswer: 20*i**5 - 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 722338 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -6*a**6 + 424*a**5\/5 - 219*a**4 - 72*a**3 - 1985. Solve w(f) = 0.\nAnswer: -2\/9, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z - 26. Let n(f) = 3*f - 5. Let j be (1 + 0)*(-11)\/(-2 - -1). Let w(b) = j*n(b) - 2*y(b). Let s = 77 + -75. What is w(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = 3*q - 145, 0*t + 4*q = 4*t + 3*t - 2*t + 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3751, 63, 6 in descending order.\nAnswer: 3751, 63, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -1.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.01212 nanoseconds to milliseconds.\nAnswer: 0.00006301212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 835562 less than -65123?\nAnswer: -900685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-2)\/1)\/((-2)\/4). Factor -2*w**2 - 10*w**2 + 4*w**5 - w**5 + 9*w**n + 0*w**2.\nAnswer: 3*w**2*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230142 and 4290.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -396b?\nAnswer: 396b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70463*c**5*o**2 + 18*c**4*o**3 - 11*c**2*o**3 + c**2 - 18*c*o**3 + 244*c*o wrt c?\nAnswer: 4227780*c**2*o**2 + 432*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 3 + 2*h - 13*h + 8*h. Let v = -5 + 8. What are the prime factors of f(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 183 = 2*k - 49, k = 4*j - 53. Let o be -1*(-158 - (-2 - -3)). Let l = o + k. Calculate the greatest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five eighths of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04467 + -13.91933. Let u = 1.5 + -15.5. Let d = u - n. Round d to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/35 and -17\/1455?\nAnswer: 10185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*z = 1414 - 7875. Solve -47*l - z = 117 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -3. Suppose 44 = 5*v + 19. Suppose 2*b - v = 3. What is the third smallest value in b, d, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8074*f**2*r**2 - 2*f**2*r - f*r**2 - 13152*f - 6*r**2 wrt r.\nAnswer: 16148*f**2 - 2*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 3*a**6\/40 - a**5\/30 - a**4\/8 - a**3\/6 - 21*a**2. Let g(r) be the first derivative of h(r). What is the tens digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 2. Give c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -195*v + 687 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 26*t**2 - 2*t + 21. Determine m(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 117*n**2 + 85*n - 858. What are the prime factors of o(10)?\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12149*f**2 - 2 - 12294*f**2 + 24688*f**2 in the form w*f**2 + j + x*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 0*x. Suppose 0*w - w - 22 = 0. Let d = x - w. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:24 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -16, -2\/11, 5\/89, -0.1 in increasing order.\nAnswer: -16, -2\/11, -0.1, 5\/89, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.240285 micrograms?\nAnswer: 0.000007240285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 959821416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.095 + 0.095. Suppose 0 = 2*z + 86*z + 440. Sort z, q, 4, 2 in increasing order.\nAnswer: q, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -12, 5*r = 3*l + l - 85. Suppose 6*o - 152 = l*o. Is 11061\/21 + o\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 492854*m - 493990*m + m**3 + 2*m**2 - 5 as q*m**2 + p*m + a + c*m**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -66?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d - 2. Let o = -31 - -28. Let i be g(o). Solve -i = -3*q + 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 86885781, 173771561, 260657341?\n\"Answer: 86885780*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-42) - -2)*(-493)\/1972\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from vvvlwvtttiw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 905999860 to the nearest one hundred thousand.\nAnswer: 906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 46 - 76. Let s(o) = -o + 4. Let z(u) = -21*u + 20*u - 86 + 90. Calculate j*s(i) + 6*z(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-5))\/((-4)\/(-5)). Let f(y) = 5*y**2 - y - 1. Let u be f(1). Is u equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-5 + sqrt(500)*-2 - sqrt(500)*2*6) + -2*sqrt(500)*2 + -2)*-2)**2.\nAnswer: 7200*sqrt(5) + 648100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*g**3 - 68*g**3 + 6*g**3 + (-4*g**2 + 6*g**2 + 21*g**2)*(-3*g - 3*g - 3*g) to n + l*g**2 + w*g + u*g**3 and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*k + 2 = -3*n + 36, 9*n - 62 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.8 - -276.2. Let x = -400 + y. Which is the second biggest value? (a) 0.1 (b) x (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-28)\/h)\/h*h\/(h*((h*h**(-9\/11)*h)\/h)\/h))**(-25\/3) assuming h is positive.\nAnswer: h**(2675\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 259059*r - 259056.\nAnswer: -3*(r + 1)*(r + 86352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*d = 5, -u = -3*u - 5*d + 10. Suppose u*b + 38 = 3*o, -o - 5*b - 14 = -0*o. What is the third derivative of -g**6 + 2*g**6 + g**2 + 0*g**o wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(-143)\/(38181\/1246)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 - 373*a**3 - 313*a**2 wrt a?\nAnswer: -120*a**3 - 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 49246*i**2\/3 - 1823339*i\/3 + 2168452.\nAnswer: (i - 33)*(i - 4)*(i + 49283)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(-1\/11))\/p*p**10*(p*p*p\/p**3*p)\/(p\/(p**(1\/14)*p)) assuming p is positive.\nAnswer: p**(1999\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-13 + -2 - (100 + -95)) + -14)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2113*b + 23219*b = 3683*b - 14661*b - 4331340 for b.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*a**2 - 2*a + 1698*a**3 + 2404*a**2 - 1198*a**2.\nAnswer: 1698*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35454075 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3750 - 3720. What is the lowest common multiple of 1824 and h?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxtxtxx. Give prob of picking 2 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 20 - 0. What is the greatest common divisor of f and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4 = -n - n, 2*n = 4*f + 8. What are the prime factors of (n + 474)*(-4)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -87. Let m be (-28)\/34 + 1 + 0. Let k = m + -38\/119. What is the biggest value in -5, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 36*x + 3 + 0 + 4.\nAnswer: -36*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*s**3\/5 - 5824*s**2 - 28369*s\/5 + 788\/5.\nAnswer: (s - 788)*(s + 1)*(37*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/15))\/j*(j\/j**(-5\/8))\/j)\/(j\/j**3*j**13\/j) assuming j is positive.\nAnswer: j**(-1109\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from kygkmnp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 less than -436?\nAnswer: -434.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9239 - 9234.517. Let i = l + -0.483. Sort -19, i, -0.2 in decreasing order.\nAnswer: i, -0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 25 = -2*j. Let x(a) = -1 - 4*a + a**2 - a + 0. Calculate the remainder when j is divided by x(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - -5. Let p(s) = 6*s**3 - 4*s**2 + 9*s - 9. Calculate the remainder when p(3) is divided by o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3 and 1559731.\nAnswer: 1559729.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h + 751 - 751)*(-470 - 10 + 168).\nAnswer: 8424*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14 = 4*i, 5*i - 5*p = -9*p + 17. Solve 3*x + 23 = -i*n, 4*n = -2*x + 3*x - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-10)\/(-8)*(-52)\/65. Suppose q*d - 5 = 9. What is the remainder when 14 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus 4736494064?\nAnswer: 4736494065.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277329 and 1911?\nAnswer: 13589121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b - 316*b**2 + 3 + 158*b**2 + 157*b**2. Suppose -4*l = -2*m + 4 - 0, 4*m + 5*l + 44 = 0. Let g = -12 - m. What is n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6234506s to minutes.\nAnswer: 0.02705751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -121032*i**4\/13 - 139728*i**3 - 3161594*i**2\/13 - 25614*i\/13 - 4 = 0. Calculate i.\nAnswer: -13, -2, -1\/246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - -0.2. Let f = 2576 + -2576.070056. Let n = q + f. What is n rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -384, -365, -340, -309?\n\"Answer: 3*g**2 + 10*g - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.067 and 0.1874743.\nAnswer: -0.0125607781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-t + 1 - 1)*(-4 + 2 + 4) + 3*t - 2*t - 3*t - 2 + 2 - t)*(3*t - 18*t - 12*t)*(1 - 1 - 2) as q*t + g + r*t**2 and give r.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-78)*151\/2. Let d = w - 46\/13. Which is the nearest to 0? (a) 4\/5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254038 and 426.\nAnswer: 762114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - f)*(3*f + 0*f - f) + f**2 - 3*f**2 + f**2 - 4*f**2 + 5*f**2 + f**2)*(0*f + 9*f + f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 4:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -12111210220210?\nAnswer: 12111210221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3120 to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y - 408. Suppose -n - 275 = -5*z, 2*n + 280 = 5*z - 0*n. Let j = y - z. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208.3*-34167.\nAnswer: 7116986.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -22. Solve -z = -0*z + 4*k + v, -2*z + 4*k + 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-6) + -2*4\/(-12). Suppose -71 + 415 = l*x. Calculate the least common multiple of x and 8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -788893.096 rounded to the nearest one hundred?\nAnswer: -788900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*p + 18, 0 = -6*s - 63*p + 67*p + 28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1553296.304 to the nearest ten thousand.\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65173.7t in kilograms?\nAnswer: 65173700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -464 - 469 + 1390 - 460 + 404*w to u + h*w and give h.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 712 + 622 - 31*b - 1332 + 3 - b - 3 + (-1 - 4 + 6)*(2 - 2*b - 2) + 0*b + 2*b - 3*b to o*b + f and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + -3) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000001101110 - 10011010100?\nAnswer: 100001101110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 + 0 + 3. Suppose 4*x - 536 = 2*j, 0*j - 522 = -t*x - 5*j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3 + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6)*(-5808792)\/(-176) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38848, 77703, 116560, 155419, 194280?\n\"Answer: y**2 + 38852*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/191 + 187291\/955. Let x = 195 - n. What is the second biggest value in 2\/11, x, 3\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t - 293 = 2017 - 266 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/5)*h*(h*h\/(h*h*h*h**(-5)\/h*h*h*h)*h*h*h)\/h*(h\/(h*h**(-1\/2)))**(-9)*(h**(-1\/2))**(-42)*h\/(h**8\/h)*h*h*(h*h**(-8))\/h*h assuming h is positive.\nAnswer: h**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 16. Let o be (-2)\/t - (-74)\/(-14). What is the smallest value in 1, -1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -w - 15, 3*d - 7*d = w + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/(1\/(-6)). Let o be 3\/(r*2\/4). What is the smallest value in o, 2, 0.5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 132 = 7*n. Differentiate o - n + 5*o + 12 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 6*x. Let m(p) = -14*p**3 + 77*p. Determine 77*c(o) + 6*m(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and (-313)\/50080*(-350)\/8.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -12 + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97 - 33 - 43 - g)*(4*g**3 - 2*g**3 - g**3) to i*g + j + l*g**4 + m*g**2 + h*g**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508092999 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197241638 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 163 (c) -159\/62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 150, 253, 362, 459, 526, 545?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19. Find the second derivative of n*o - 4*o**2 + 5*o - 3*o wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 967227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 5*w. Let q be f(2). Suppose -5*y - 3*d + q*d - 34800003 = 0, 20880003 = -3*y - d. Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 4 in ascending order.\nAnswer: -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmg when four letters picked without replacement from mggmgmgggggg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 14, 7, -14?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2016, 15555, 52146, 123315, 240588, 415491?\nAnswer: 659550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*b + 127*b + 127*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28322 - 12?\nAnswer: -28334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -v + 16, 2*y - 51 = -3*v - 55 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324869 divided by 252?\nAnswer: 324869\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (-6*(sqrt(384) + (sqrt(384)*2 - sqrt(384)) - sqrt(384)) - sqrt(384)) + sqrt(384))\/((sqrt(72) - (1*sqrt(72)*4 + sqrt(72)))\/sqrt(6)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-3)\/h)\/h*h)\/h)\/(h\/(h**(2\/15)\/h))*(((h**(2\/3)\/h)\/h)\/h)**30*(h**(-10)\/h**(-12))**(30\/7) assuming h is positive.\nAnswer: h**(-7066\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -26*s - 1. Is n(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73990 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.07377um to nanometers.\nAnswer: 2073.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1396 (b) -5 (c) 71\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2948401 is divided by 5670.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -877389*w**4 + 111*w**3 + 100368532.\nAnswer: -3509556*w**3 + 333*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59\/39 + -24\/13. Which is the closest to 0.2? (a) -0.6 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40928 and 800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24\/43 - -221\/473. Which is the nearest to -1\/8? (a) 0.2 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from ofofoofffofofffooo.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*k**2 - 565 + 565)*(0*k**3 + k**3 + 0*k**3 + (-k + 0*k - k)*(-5*k**2 + 4*k**2 + 3*k**2) - 2*k**3 + 3*k**3 + 0*k**3).\nAnswer: -396*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-26) + (-44)\/24. Let m = 1105\/2 - 553. What is the second smallest value in m, p, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304487 divided by 11?\nAnswer: 304487\/11","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 835, 1534, 2235, 2938, 3643, 4350?\n\"Answer: h**2 + 696*h + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 12, 135.2, 2\/29 in increasing order.\nAnswer: 2\/29, 1\/7, 12, 135.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*s**3 + s - s.\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + 0*m + (0*m - 2*m + m)*(-1 + 0 + 0) + 0*m + 6*m - 4*m)*(-44*m - 17*m - 29*m).\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 - 3 = 3*l, -12 = 4*m. Solve -l*b - 14 + 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852506612?\nAnswer: 2, 3, 11, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a7 + a915?\nAnswer: a619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73238760 divided by -24?\nAnswer: -3051615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1090 and 852230?\nAnswer: 92893070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 2.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/21, 4, 1\/49, 3, -5, -7 in ascending order.\nAnswer: -7, -5, 1\/49, 4\/21, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 13*v + 41. Let w be (-195)\/(-9) - 6\/9. Let f = -3 + w. Is 14 a factor of u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -254. Suppose -3*o + d - 17 = -3*d, 2*d = 3*o + 19. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 2\/(90\/555) - (-2)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 24 = 2*s, -65*i - 3*s = -70*i + 39 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-123 + -3)\/(-3)*(-17)\/(-51). Let y be (1\/19)\/(u\/(-28)). What is the nearest to 0 in y, 1, 0.1, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 89 + 1395 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 140*k + 915. Let i be q(76). Let c(v) be the second derivative of -3\/2*v**2 - 11*v - 1\/6*v**i + 0. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 10) in base 6?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -560\/4339 or 1?\nAnswer: -560\/4339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 530357533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-7)*(-9 - -2). Solve j*m - 5 = 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -3 (c) 2 (d) -2 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:20 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t - 2. Let w(i) = 7*i**2 + 48*i + 1477. Determine 4*m(z) - w(z).\nAnswer: -7*z**2 - 1485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c*o**2*x**3 - 31*c*o*x**3 + 2*c*o*x**2 + 24*c*o*x - 2*c*o + 3*o**2*x**3 - o**2*x**2 + 5*o**2 wrt x.\nAnswer: -54*c*o**2 - 186*c*o + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j**2 + 7*j**2 - 6*j**4)*(-6 + 0 + 2 + 3 - 3 - 1 + (-2 + 5 - 4)*(2 + 1 - 1) - 3 + 1 + 1) in the form u*j**4 + l*j**2 + x*j**3 + i*j + r and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7883.967 times 6\nAnswer: -47303.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 5:50 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -43) + 16 + -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18) + (sqrt(72) + (sqrt(72)*2 - sqrt(72)) + sqrt(72) - sqrt(72))))\/sqrt(6).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/17 (b) 2 (c) -46 (d) -23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -2. Let r = c - 8.1. What is the closest to r in 2\/3, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5145 - 11?\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -292 - 286.9\nAnswer: -578.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177 - -300. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 + 22*v - 107. Let h be c(12). Let y = 395 + h. Calculate the least common multiple of y and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560, 1648, 2746, 3860, 4996?\nAnswer: 6160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-3)*3)\/(-2))\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 651, 1430, 2511, 3894, 5579, 7566?\nAnswer: 9855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4 + 5*w**2\/2 + 5*w + 21. Let i(u) = u**3 - u - 1. Give -10*i(j) - 2*x(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142470 is divided by 142095.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 1:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((5 - 3)\/(-2)). Let g be q\/2*20\/(-14). Suppose -g*c = c. What is the closest to -1 in c, 3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 835*f - 3236. Give s(4).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*r + 2*r**2 - 6*r**2 + 870*r - 202*r**4 + 4*r**2 wrt r.\nAnswer: -2424*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*y + 5301. Let h = y + -326. List the prime factors of h.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22216 is divided by 7398?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 4 + w)*(-44*w**3 - 3 + 2 + 38*w**3).\nAnswer: -6*w**4 - 24*w**3 - w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8 - 5\/(-2). Suppose -5*c = p - 1 - 19, -5*p = 5*c. Suppose 0 = o - c*o - 8, -169 = -5*m - a*o. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**8\/1064 + j**7\/1995 + 4*j**6\/57 + 62*j**5\/285 + 4*j**4\/19 - 404*j**2. Find r such that c(r) = 0.\nAnswer: -4, -1, -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 12. Let j(k) = k**3 + k**2 - 2*k. Let y be j(-2). Let n be c(y). Suppose s = -5*a - n, -1 = -4*a + 5*s + 1. Sort -4, -1, a in descending order.\nAnswer: -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1849*h*r*v - h*r + 29*h*v + 2*h - 62*r*v + r + v - 273 wrt h.\nAnswer: 1849*r*v - r + 29*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 209 = 131. Suppose 0 = n - 7*v + 4*v + 8, 5*v - 20 = 5*n. Sort -1, r, n in increasing order.\nAnswer: r, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let s(r) be the first derivative of 49*r**3\/3 - r**2\/2 - 405. Calculate z(s(u)).\nAnswer: -2401*u**4 + 98*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 - -5 - -7 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, 175, 439?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -2) + 8 + -7 + 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/330 and -137\/6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 16*k**2 + k + 19. Suppose -24 = -9*f + 12. Suppose 2 = -v, f*v + 88 = -2*x - 3*x. Let h be b(x). Solve h*w - 9 + 4 = -i, i - 7 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*i = 105*i - 688. Which is the second smallest value? (a) -1\/2 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 31.1, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -21*c + 5. Calculate t(5).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5256416 and 2148608?\nAnswer: 294359296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4863 * 19556.\nAnswer: -95100828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 404460 divided by 35\nAnswer: 11556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -6. Let j(i) = -214*i - 1495. Let s be j(-7). Suppose -3*r = 0, -z + 3*r + 3 = r. Solve -s - n = z*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1104 and -157\/66.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 8. Let c = 105 - 85. What is the smallest common multiple of g and (-5)\/c - (-434)\/8?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705652756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cc3 - 5?\nAnswer: -cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*l**3 - 925*g*l**2 - g*l + 268978*l**3 - 11*l**2 + 2*l wrt l?\nAnswer: 18*g + 1613868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4236932.7ms?\nAnswer: 1.17692575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(1100) + sqrt(1100) + -2 + 2 - sqrt(1100)))**2.\nAnswer: -82500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2858 - -20038\/7. Let l = k - 4. Which is the third smallest value? (a) 0.2 (b) l (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5928 divided by -1.\nAnswer: -5928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -263*m + 2. Let c be p(-1). What is the first derivative of 5 + 265*g + 20*g**3 - c*g wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 4. Let a be j(7). Solve 0 = o - a + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-40) + 8\/5. What is the greatest common factor of 5 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qll when three letters picked without replacement from {q: 11, l: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 5*o - 18. Let y be ((-20)\/o)\/((-32)\/(-28)). Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*1 - (-2 + 4). Suppose s*g = 6*z - z - 105, 3*z = 2*g + 67. Calculate the remainder when z is divided by ((-130)\/4)\/(-5)*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.42 times -0.037\nAnswer: -0.20054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 - -1632013?\nAnswer: 1632123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let h be (-75)\/(-252) - (-2)\/8. Let a = h + -5\/7. What is the nearest to q in 0, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170942.7 to the nearest one thousand.\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6565.47 + 36.63.\nAnswer: 6602.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*s**3 - 37*s**3 + 16*s**3)*(5*s - 5*s + s)*(-1 - 3 + 5).\nAnswer: -55*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j + 616 = -68. Calculate the remainder when 43 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 5 (b) -12 (c) 1850 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/(8\/8) + -15. Let i(s) = -s**2 - 18*s - 28. Let x be i(q). Suppose 0 = t - 3*f - 33, x*t - 70 = 2*t + 5*f. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + 1)**2*6 - (4 + (sqrt(1053) - (1 + sqrt(1053))))**2.\nAnswer: 12*sqrt(13) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/13)\/v)\/(v*v*v**3*v*v))**(-4\/7)\/((v**(2\/3)*v)**(-15)\/(v**7\/v*v**(1\/8))) assuming v is positive.\nAnswer: v**(26051\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 4204*p\/5 - 4418404\/5.\nAnswer: -(p - 2102)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*v*v*(v*v**(3\/8))\/v assuming v is positive.\nAnswer: v**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - (-2 - (2 + -2)). Let n be 4\/d - 1\/3. Let s = -0.1 + -0.4. What is the closest to n in 0.3, -2, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9579 - -14078. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1674*h = 1686*h + 60 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -6294220?\nAnswer: -3\/6294220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/8*2)\/(5\/(-2)))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 19320\nAnswer: 96600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 - (267 + -256) - 36.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 2. Let r = m + 82. What is the smallest common multiple of 2 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + w. Let l be h(2). Let g = -6 - l. Let u(q) = -1 - 5*q**3 + 4*q - g*q + q**3. Determine u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 - 7*x - 41. Let s be q(11). Let g(j) = j**3 + 6*j**2 - 9*j - 9. Let t be g(-7). Solve -f + t = s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcxq when four letters picked without replacement from {c: 2, x: 1, h: 2, v: 2, q: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/24301 (b) -5\/9 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.09, -29 in increasing order.\nAnswer: -29, 0.09, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4\/7))\/(p**(2\/21)*p*p)*((p\/(p\/(p*p**(-1\/6))))\/p)\/(p**(-6)*p))\/(p\/(p\/(p*p**(-9)))*p*p**5)**21 assuming p is positive.\nAnswer: p**(1945\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -26*r**2 + 9*r - 180. Let z(u) = -6*u**2 + 2*u - 40. Let s(d) = -4*k(d) + 18*z(d). Let w(j) = 28*j. What is w(s(n))?\nAnswer: -112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by -26?\nAnswer: -151\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -456610\/13 greater than -35124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000213263744 to six decimal places.\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2618 - -2703. Let m = 197 - 96. Let r = m - g. Is 17 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0650903514 to five decimal places.\nAnswer: 0.06509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 646942643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 108\/12 + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 2, m: 2, x: 5, o: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3479591, -3479607, -3479625, -3479645, -3479667, -3479691?\nAnswer: -3479717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 0*l + 0*l**2 - 23\/4*l**4 + 10 - 37\/3*l**3. What is the third derivative of x(a) wrt a?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313149 a multiple of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(78)*-3*-5 - 1*-1*sqrt(78))\/(2*sqrt(6)*-2 - (sqrt(108)\/sqrt(6))\/sqrt(3)).\nAnswer: 64*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - o**2 + 3*o - 1. Let g be k(4). Let b(x) = 75*x - 3. Let n be b(3). Let q = g + n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (-4 + sqrt(75)*2 - sqrt(75)))*-6 + -2.\nAnswer: -30*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416875.\nAnswer: 5, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -194 - -143 - 86 - -25\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - h + 42 = 0, 5*o = -h + 20 + 33. Suppose 144 = 13*d - o*d. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 3. Let s be y(-5). Let o be 0\/(3 + -2) - (21 - 24). Which is the third smallest value? (a) o (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(81)\/sqrt(3)*6)\/(sqrt(576)*-3 + sqrt(9)))**2.\nAnswer: 75\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) -2\/9 (b) -1\/3 (c) -49 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2. Let g(w) = 13*w - 6*w**2 - 13*w. Calculate y(g(s)).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 7*x + 2. Let w be g(6). Let v be (-399297)\/(-12) - (-2)\/w. Let b = v - 22875. What is b rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n - 4*n)*(-1 - 3 + 2)*(-n + 5*n - 2*n)*(-5*n + 4*n - 2*n).\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24886601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -75400 rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8665.\nAnswer: 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -8*f - 0*f. Let c(h) = 23*h - 117. Let d be c(6). Let q = f + d. Do 2\/201 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1977 + -31669\/16. Calculate the common denominator of (-45)\/54*-3*(-516)\/(-190) + -8 and c.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17424\/7*x + 0 - 4\/7*x**3 + 528\/7*x**2.\nAnswer: -4*x*(x - 66)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*y = 1212, 0 = 2*h + h + y - 1196. Let c = h - 773\/2. Factor -3\/2*j**2 - 9*j - c.\nAnswer: -3*(j + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*-2 + 0 + 1.\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 20*q**2 + q - 8. Calculate x(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/10))\/f**(-1\/18)*f**(-4)*f\/(((f*(f*f\/(f\/(((f\/f**(2\/3))\/f*f)\/f)))\/f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-62\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -q + 3*q - 24, 5*u + 12 = q. Factor 11*h**3 - 27*h**5 - 14*h**2 - q*h + 20*h**3 + 2*h**3 + 18*h**4 + 2*h**2.\nAnswer: -3*h*(h - 1)**2*(3*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1172898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*i - 77*i = 443*i + 19448 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 115.544 times -0.4\nAnswer: -46.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*f - 728 - 409, f = 2*r - 1157. List the prime factors of r.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 534 = 39*q + 18*g, 0 = 137*q - 133*q + 5*g - 158 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + 4*y - 15, -2*y + 5 = k. Suppose -4*a = -5*h + 330, -314 = -5*h - k*a + 16. What is the greatest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(26\/(-4) - -3 - -3). Let f(c) = 7*c**r + 3*c + c**2 - 717 + 717. Let i(h) = 6*h**3 + h**2 + 2*h. What is -5*f(v) + 6*i(v)?\nAnswer: v**3 + v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - k + 4)*((13 - 30 - 33)*(2 + 2 - 2) - 1 + 1 - 1).\nAnswer: 101*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172131 and 27?\nAnswer: 1549179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(-26\/7)\/(a\/(a*a*a**(12\/5)*a)*a**(2\/17)) assuming a is positive.\nAnswer: a**(9178\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 37. Let s(a) = -4*a - 4 - 2 + z. Let p(o) = 17*o. Give p(s(q)).\nAnswer: -68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m + 27. Suppose 2*i = 2*d - 3*d - 16, 0 = 2*i - 2*d + 10. Let t(p) = -p + 4. Give i*q(g) - 2*t(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 420 or 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80.72 + -83. Let k = -45.96 - b. Let m = -44 - k. What is m rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000385314 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*k = 2696, -2*j + k - 8088 = j. Let z = j + 4516. Suppose -i + 3*i + z = 0. Round i to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 8*h. Let y(f) = f**2 + 8*f. Let p(l) = -7*s(l) + 6*y(l). Let t be p(-4). Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142363984151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 102?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1582*k**2 - 12*k**3 - 1582*k**2 + 4 - 4.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 486 by 160.\nAnswer: 243\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i - 195. Determine r(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o - 108. Let r(d) = -6*d - 54. Let w(y) = -3*i(y) + 5*r(y). Let k be w(-16). Suppose k*p - 129 = 321. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + n - 1. Let o(y) = y**2 + y. What is -h(l) - 2*o(l)?\nAnswer: l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12*-2*1)\/((-3)\/(-57))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11775 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12597\/2 - -6264. Are 2\/15 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379755960 a multiple of 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6566, 9551, 12546, 15557, 18590, 21651?\n\"Answer: l**3 - l**2 + 2981*l + 3585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/20 + y**4\/6 + y**3\/6 - 7*y. Let z be o(-1). Let q be (1\/z)\/((-14)\/(-84)). Solve 0*a = -q*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431414 - 14?\nAnswer: -431433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 244155 divided by -48831\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 + 4*t**2 - 3. Let f(q) = 2*q**2 + 3*q + 2823. Let d(s) = f(s) - 3*i(s). Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7202214 divided by -18\nAnswer: -400123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16788 or -16787?\nAnswer: -16788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 5*v - 10 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432.5516 years to centuries.\nAnswer: 4.325516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18654\/12*(160\/8 + -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 + 0.54. Sort 6, 2, i in ascending order.\nAnswer: i, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -1, -4, 60, -5 in increasing order.\nAnswer: -6, -5, -4, -1, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -13. Suppose -l = 2*w + d + 4, 5*l - 5*w = 45. Solve -3 + 7 = l*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 3*w - 2. Let p be o(-1). Suppose 4*g + 0*g - p*q - 26 = 0, -5*g + 4*q = -40. Solve 2*y - 3*t - 4 = 14, g*t + 10 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1870468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*d - 49*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 14*h**2 + 7*h - 8. Let c be o(-9). Suppose c = 4*n - n - u, -2*u = 8. Calculate the greatest common factor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -300*(-1 + 3*(-1146909)\/(-27)). What is f rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-12 - (-6 - -12 - 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/7, -1, 0, 21 in decreasing order.\nAnswer: 21, 1\/2, 2\/7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 873.3333 kilometers in millimeters?\nAnswer: 873333300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6*v - 9*g**4*v**2 + 4*g**2*v**2 - 51*g*v**2 wrt g.\nAnswer: 120*g**3*v - 216*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7. Let a(i) = 27. Let s(y) = -a(y) + 4*m(y). Let q(c) = -c + 6. Determine 3*q(n) - 15*s(n).\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -2, -1, -62, 4 in descending order.\nAnswer: 10, 4, 3, -1, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -12. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.6 + -71. Let r = -6 + v. What is the third smallest value in 3, 0.4, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -27. What is the lowest common multiple of 9 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 29731 = -29434. Let x(k) = -k - 4. Let s be x(-7). Suppose -s*g + 4*g - 7 = 0. Calculate the remainder when v is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1320031 + -10?\nAnswer: -1320101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/17)\/t)\/t**(1\/21)*(t\/(t**6*t))\/(t**(-17)\/t) assuming t is positive.\nAnswer: t**(3847\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/744 and 27\/124.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/2 - 97*n**4\/2 + 941*n**3 + 11223*n**2 + 72981*n\/2 + 75843\/2 = 0.\nAnswer: -3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*3*(-4)\/24. What is v in 2 - u + 10*v + 0*v**2 + 5*v**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -k - 4, 4*s = -5*k + 4*k - 4. Let w(c) = -c**2 - 16*c - 30. Let q be w(-14). Sort s, q, -4 in decreasing order.\nAnswer: s, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2205\/17 - -24739\/102. Which is smaller: 113 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8583629 to the nearest integer?\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*h**6 + 3*c*h**2 + 2*h**4 + 5*h**3 + 4603*h**2 wrt h.\nAnswer: -360*c*h**3 + 48*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*m = 121*m + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, -19, -4, -1, 2, -2 in ascending order.\nAnswer: -207, -19, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10102 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/450*w**5 - 1\/45*w**3 + 0*w + 1\/180*w**4 + 19*w**2 + 0 - 1\/900*w**6. Suppose z(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*d - 10. Suppose d = -c + 3*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 60*x = -6. Let z be 2 - (6\/24)\/x. Factor 0*n + 0 - 3\/4*n**3 + z*n**2.\nAnswer: -3*n**2*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + s - 3*s - s + 5*s + (-3 + 0 + 4)*(3 + 2*s - 3) - s - 2 + 2 - 2*s + s + 3*s - 350 - 467 - s - 1720 in the form d + f*s and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + -22111?\nAnswer: -100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 174bf66 - -13?\nAnswer: 174bf79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-15))\/(-1*(-1)\/(-5)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2731168 + 674*q - 17*q**3 + 2731168 + q**3 + 2*q**2 wrt q.\nAnswer: -96*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-696)\/(-90)*10*1*5. Let q = v + -386. Is q less than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r + 99*r - 9*r**2 + 99*r - 293*r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3540 + 3564. Which is the second biggest value? (a) n (b) -0.06 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.057346, 4 in increasing order.\nAnswer: -0.4, 0.057346, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 10*j**2 - 11*j - 7. Determine u(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -164711?\nAnswer: -164711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4*p**2 - 7*p. Is v(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-208)\/(-896) + 6\/(-16). Sort 1\/2, -3, x, 0.2.\nAnswer: -3, x, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**2 - f**2 + 0*f**2)*(-f - 395 + 395)*(-3 + 1 - 1) to s + j*f**2 + t*f + g*f**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 79 + 37 = -y, -2*f + 5*y + 60 = 0. Suppose -6 = -3*l, -q + 113*l = 109*l - 17. What is the remainder when f is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3)**15)**(-10) assuming l is positive.\nAnswer: l**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 o when three letters picked without replacement from zuommz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/60 + d**4\/24 + 2*d**3\/3 + 6*d**2. Let f(t) be the first derivative of a(t). Differentiate f(k) with respect to k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r**3 + 11*r - 11*r + (89*r**3 + 67 - 67)*(1 - 4 + 1))*(4 + 2*r - 4) to a + j*r**2 + v*r**3 + m*r + o*r**4 and give o.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/17))**(-1\/13))**(-39) assuming g is positive.\nAnswer: g**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 32784*v + 2077299.\nAnswer: -3*(v - 63)*(v + 10991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7277.\nAnswer: 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 0.34?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1303862, 2607665, 3911468?\n\"Answer: 1303803*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = 6*j. Let k be -2*(-3)\/j + 10. Let q(a) = 0 - k*a + 3 + a**2 + a. Give q(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, -9025, 0.4, 4 in increasing order.\nAnswer: -9025, 0.4, 5\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzz. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2069.567 and -0.12.\nAnswer: -2069.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45692 is divided by 570.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 3. Let x(w) = -2*w**2 - 5*w + 5. Let g be x(a). Let u = g + 22. Solve 0*s + 6 = -u*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6924378\/7 smaller than 989197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19*l**2. Let p(h) = -19*h. Determine o(p(q)).\nAnswer: 6859*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8327 - -8362. Solve m*n - 80 = 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (5 - 1)*((4 - 0) + -2) and 2 + 3 + -5 + 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-657)\/(-2) + 3\/2. Suppose 4*k - 105 = -f + 251, 4*k - m = 5*f. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 625 * 0.863.\nAnswer: 539.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138.8 + -136.8. What is the third biggest value in -0.18, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 - f. Let g(t) = -14*t**3 + 5*t**2 + 6*t + 1. Let h(y) = -g(y) - 6*o(y). What is the least common multiple of h(1) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*q - 2158 = -2147, 30 = -6*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67562.73s to hours.\nAnswer: 18.767425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let o(w) = 1. Let h(f) = -f**2 - 7. Let q(y) = -h(y) - 4*o(y). Let d(z) be the first derivative of q(z). Give j(d(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1111\/471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*u**3 - 153*u**3 + 39*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16343405, -16343406, -16343407, -16343408?\nAnswer: -16343409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)\/m)**(2\/23) assuming m is positive.\nAnswer: m**(-28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -311.35 + 3.35. Let a = 63914201 + -63914508.99817. Let n = a - u. What is n rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 65. Let b be o(1). Suppose 46*c - b*c = -144. Solve -9*h = c + 33 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7766*r**2 + 23986*r**2 + 7591*r**2 - r**3 + 15280*r**2 - 1790*r**2.\nAnswer: -r**3 + 37301*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6070 from 0.03.\nAnswer: -6069.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 92, 6, -4, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 2) + (-34 - -25) - -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11097*j + 5546*j + 5542*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.9999974. Round h to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 3 (c) 0.024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 13, 1\/6, -2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((0 + sqrt(833) + 0 + sqrt(833) - sqrt(833)) + 2))**2.\nAnswer: 1008*sqrt(17) + 30132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 - 5*k - 7. Determine c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 49, -2, 14, 0 in decreasing order.\nAnswer: 49, 20, 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 442 and 98.\nAnswer: 21658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58229, 58231, 58243, 58271, 58321?\nAnswer: 58399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190029146?\nAnswer: 2, 3, 89, 2228519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m - 4. Let v(i) = -i**2 - i - 1. Let l be ((0 - -2) + -1)*-1. Suppose -8*c + 5*c = -2*y - 7, c = -5*y + 8. What is c*v(g) + l*s(g)?\nAnswer: -2*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((6*sqrt(108))\/(sqrt(96) + (sqrt(96)*2 - sqrt(96))))**2 + 1)*4 + -2.\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -4, -3, -1, 28 in descending order.\nAnswer: 28, 0.6, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12)**(1\/18)\/(q**14*(q*q**(6\/17)\/q)\/q*q) assuming q is positive.\nAnswer: q**(-698\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 23 = 5*q. Suppose t + 4*l - 43 - q = 0, -2*l = t - 52. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.88 - -9.02. Let b = 10 - y. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8511909 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 0*z + 8*z - 2*z - 2.\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6313094.\nAnswer: 2, 397, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11394 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 8*y**2 + 190*y + 563. Give u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:48 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3849?\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 32*g - 202. Calculate o(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 9*y**5\/20 + y**2\/2 - 10*y + 8. Let l(f) be the first derivative of n(f). What is the derivative of l(t) wrt t?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 1141 = -5*v. Let h = 222 + v. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 16 = -20*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 751 = 1489. Let n = i - 320. Solve -18*h + 17*h = n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37720449.\nAnswer: 3, 13, 322397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.21. Let k = q + -0.01. What is the nearest to 0.7 in -6\/7, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 7048?\nAnswer: 77528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 1\/108*v**4 + 1\/270*v**5 + 0 + 0*v**3 + 3*v**2 + 0*v. Factor a(h).\nAnswer: 2*h*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/319 and 33\/10.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -18*n - 17. Suppose -4*h - 3*c = -n*h - 379, -5*h = -c - 1815. What is the highest common factor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + m + 1. Let f be c(-6). Let s = 31 - f. Suppose 8*a + s*a - 168 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832 - 827 + 3317 - 831 + 289*v**3 - 827.\nAnswer: 289*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7971 - -7965. Let m(l) = 21*l**2 - 2*l - 1. Let s(a) = 20*a**2 - 2*a - 1. Give j*s(f) + 7*m(f).\nAnswer: 27*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p + 4*p + p)*(-1 + 0 - 2) - 3 + 4*p + 3 to v*p + n and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -207.8\nAnswer: -103.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21545023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17*q + 107. Determine f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*b**3 - 91\/6*b**2 + 89\/3*b + 0 = 0. Calculate b.\nAnswer: 0, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 18133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23 - (1 - (-3 - -3)). Let b be (x\/(-9))\/((-56)\/57 - -1). Suppose -b = -5*a - 3*a. Calculate the remainder when 52 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144185933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 61. Calculate the remainder when 32 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, 0.1, -1 in ascending order.\nAnswer: -1, 0.1, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 155. Let j(i) = -i - 3. Let l be j(-5). Suppose d + 6 = 6*d - o, -4*d = 3*o - 20. What is the closest to d in l, w, 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - -57. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 109. Solve -4*t + 6 = -2*a, -31 = 5*a - v*t - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -12. Is 13 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**5 - i**2 + i - 1. Let c(q) = 2*q**5 + 2*q**4 + q**3 - q**2 + q - 1. Let y(z) = -z - 18. Let f be y(-15). Let m(n) = f*k(n) + 3*c(n). Factor m(v).\nAnswer: 3*v**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 6*s**4 + 9*s**4 + 5*s - 2*s - 3*s**3.\nAnswer: 3*s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 525 = -85*c - 7*s, -18*s + 12*s = -10*s + 20 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 22*a - 11*a = -23*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from pho.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(28\/(-4))*(-4)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7087 = 4*m - 4*i + 6907, -3*i = 60*m - 2637 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:44 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*f + 4 = 0, 3*g + 3*f - 28 = -22. Let k(v) = -v**3 + 5*v**2 - 2*v + 64. Let l be k(g). What is the highest common divisor of 1216 and l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209\/5 + 42. What is the third smallest value in 0, 1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -41 + 0 + (2227 - 2215)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2974560 and -41\/630.\nAnswer: 62465760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1412732562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -250*x + 242*x. Solve 2*w - x*q = 0, -4*q + 2*q + 20 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 - -21?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 + 405*u**3 - 13120*u**2 - 123120*u - 257920 = 0.\nAnswer: -104, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*s - s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-14))\/((-2)\/76). Suppose 0 = 4*v + q - 243. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Suppose 0 = -4*l + 2*c + 28, -c = l + l - 14. Suppose 4*n = 5 + l. Let p(w) = w**2 + w + 5 - n*w + 0*w**2 - 4*w. Give p(k) - 6*y(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0+-207075\nAnswer: -207075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 10359410079*x - 10359410079*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.80829 - -46.19048. Let a = -137 + o. Round a to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-130))\/((12\/2)\/6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -50*h - 134 + 138 + 0*h**2 + 15*h - 2*h**2 + 19*h + 12*h. Let u(q) = q - 1. Let f(a) = a - 1. Let p be f(0). What is p*k(x) - 4*u(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56\/327219 - 17666879909\/6544380. Let f = l + 2694. Calculate the common denominator of -49\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 954, 1875, 2796, 3717?\n\"Answer: 921*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-36097637.\nAnswer: -25268345.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 45, 1\/4 in ascending order.\nAnswer: 0.2, 1\/4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1458.517471129 + -13.\nAnswer: -1471.517471129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19 - -5.69. Let g = -4.5 + n. What is the nearest to g in 0.4, -2\/13, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -8 - 27 - -3) + -3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 76*a + 2166.\nAnswer: 2*(a - 57)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 + 0*j**2 - j**2)*(-4 + 2 + 0) in the form c*j + z + q*j**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 77 = -21. Solve -c*s + 3*z = -24, 4*z = -3*s + 6*z + 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -101662993, -203325986, -304988979, -406651972, -508314965, -609977958?\n\"Answer: -101662993*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (sqrt(1573) + -4 + sqrt(1573) + -1))**2.\nAnswer: -110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2749 - 4324 + 216*j + 1568.\nAnswer: 216*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 46 = -4*d + 87, 2*d - 43*r + 197 = -2*d + 2*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12569179 by 20.\nAnswer: 12569179\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d, -2*d + 5 = -f. Let p = 1501 - 1501.5. Which is the nearest to f? (a) -5 (b) p (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1306195 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j + 1753 = -55*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 4 + -11 + (85 - 93)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4100 + 4421. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 divided by 283.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -8*w + 4*w - 92, -5*y = -2*w - 46. Let h = 5 - -19. Let x = h + w. What is the greatest common divisor of 4 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5\/u*u*u\/u**5*u*(u*u\/(u**(-1\/3)\/u*u))**(6\/13) assuming u is positive.\nAnswer: u**(40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 33*l + 66. Let r be f(-35). Let x = 0.4 - -1.6. What is the closest to x in r, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:20 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 23*h - 55. Let t be p(2). Is -0.05 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 23250254?\nAnswer: 23250250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k**4 + 6496*k**3\/11 + 15272*k**2\/11 + 1920*k\/11 = 0 for k.\nAnswer: -2, -2\/15, 0, 240\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14163.19 - -14166. Round y to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4. Let u(z) be the first derivative of -3*z**2\/2 - 9*z - 25. Let h be 0\/1 - (72\/6 - 5). Calculate h*n(q) + 3*u(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(117)*-1*4 + sqrt(117) - 2*(sqrt(117) - ((sqrt(117)*-2 - sqrt(117) - sqrt(117)) + sqrt(117))))\/(-4*sqrt(576)*-2).\nAnswer: 11*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95))\/sqrt(5) + sqrt(19) - (-3 + sqrt(1539))) + sqrt(931)*1 + -4 + 1 + (2*sqrt(931) - sqrt(931)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74702 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 3335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-14 - -3) + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 7*z = -3*u - 17, -z + 9 = -u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1687031.\nAnswer: -1687031, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 187 = -3*z, 2*z + 3*m - 5*m = 114. Let v = 99 - z. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -401261?\nAnswer: -80252.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 2*i + 1. Let l(s) = 4*s**2 - 8*s - 3. Let k(o) = -9*b(o) - 2*l(o). What is k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (11 - (-24 + 24 - (-2 - 9))) + -9?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2749*h - 684*h - 694*h - 683*h - 687*h. Let z = -3 - -5. Let w(f) = 7*f**z + 3*f - 3*f. Determine w(a(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvggggggggggggv. Give prob of picking 2 v and 2 g.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -1\/30*s**6 - 3 - 1\/25*s**5 + 1\/15*s**3 + 0*s + 1\/20*s**4 + 0*s**2. Find p such that o(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + -1 + (-4)\/(-4). Let s = u - 37. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + n + 1126 = -220, -2*b = 4*n - 556. Let 36*c**3 - 134*c**4 + 210*c**2 + 19*c**3 + 104 + b*c**4 - 131*c**4 + 320*c + 56 = 0. What is c?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 1. Let r = 11 + -7. Suppose r*i = -0*i + 8. Give y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, x: 2}. Give prob of picking 1 x and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-7 + (19 - 4) - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from booobvbebppk. Give prob of sequence pbeo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 9 = -2*y. Let h(b) = 56*b - 2. Let s be h(2). Let p be s\/25 + 3\/5. Solve p*v = -3*a - 34, v + y = -3*a + a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqqqqgqaagga. What is prob of sequence aaqa?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(0*r - 3*r + 4*r) - 3 - r + 3)*(0*r**3 + 3*r**3 + 0*r**3).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1201085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7 = -145*y + 144*y, 32 = 2*x + 5*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 723859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-8))\/(((-108)\/(-16))\/27).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 400*k**5\/7 - 1720*k**4\/7 - 8591*k**3\/7 + 43721*k**2\/7 - 4352*k + 5780\/7 = 0. Calculate k.\nAnswer: -5, 2\/5, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 79?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, u: 2, b: 1}. Give prob of sequence su.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*k + 85*k = -87 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 16703.4.\nAnswer: 16703.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10083.\nAnswer: 3, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s - 0, -11 = 3*p + 5*s. What is the units digit of p\/4 + (-42)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12*z - 48 = 0, -4*x + 8*x - 2*z = 8. Let t(o) be the second derivative of x*o**3 - 5\/3*o**4 + 0 + 0*o**2 + 19*o. Let j(u) = -u. Determine j(t(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7536790 or -7536791?\nAnswer: -7536791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + 279\/36. Suppose -3*z - 1475 = -5*m, -r*z + 25 = -3*z. Let y = -874\/3 + m. Find the common denominator of -41\/7 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5358 - -20?\nAnswer: 5378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbqvbxms. What is prob of picking 1 b, 1 q, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058 * -0.1014.\nAnswer: -0.0058812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(228) + -1*sqrt(228)) - (sqrt(228) + 2*(sqrt(228)*1 - sqrt(228))))\/(sqrt(96)\/(-5*(sqrt(8) - 5*sqrt(8)))).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**1\/b*b)\/b)\/b*b)**(12\/5))**(8\/9) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/25)\/(24\/(-300)*15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*g + 4*s, -4*g + 46*s - 49*s + 10 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -95, -197, -303, -413, -527, -645?\n\"Answer: -2*h**2 - 96*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 869620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*g - 114 = 0, 4*t = 6*g - 3*g - 123. Let n(y) = -26*y - 10. Let q be n(7). What is the common denominator of -77\/2 and q\/t + -1 - 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68252 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60700848 - 33520848. What is g rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2048088262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44409 and 9?\nAnswer: 133227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/30 - g**4\/8 + g**3\/6 - 3*g**2. Let j(l) be the first derivative of m(l). Find the first derivative of j(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/51 and -7\/208418708.\nAnswer: 625256124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2703 - 725 = -184*y + 68 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3329 and -26.\nAnswer: -25.6671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593126 less than -7872?\nAnswer: -1600998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, p: 6, a: 2, m: 3, t: 2, f: 2}. Give prob of sequence ttap.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4182 and 15364906?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -869*i**2. Let q(o) = 4843424*o - 4843424*o - o**2. Determine t(q(b)).\nAnswer: -869*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/70? (a) 0.5 (b) -5 (c) 2\/3 (d) 0.149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, 4, -10, 7, -4 in ascending order.\nAnswer: -10, -4, 1, 4, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = b - 3*r, -r + 5 = 2*b. Suppose z = 4*c + 17 - 5, b = -c. Which is smaller: 7 or z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 2. Let q(k) = -2*k - 10. Let l be q(-7). What is the least common multiple of 2 and z(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.24 (b) -2\/3 (c) 0.3 (d) -2 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 23*w - 54. Let l be g(28). Let r(a) = l + a - 32 - 24 - 22. Determine r(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 308 + -285. Sort 5, 1, t in descending order.\nAnswer: t, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.5 (b) -1 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 8. Let h(p) = 6808*p**2 - 6050*p - 48. Let z(b) = 6*c(b) + h(b). Find the second derivative of z(d) wrt d.\nAnswer: 13604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-147 - -161) + (-20 - -1). Sort k, -1\/3, -1170, -0.2 in decreasing order.\nAnswer: -0.2, -1\/3, k, -1170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2257788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16906 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 2. Let d(k) = -k + 4. Let i be d(2). Let n be s(i). Let y(l) = -l + 2. Determine y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9136498*b**3 - 12*b**2 - 764*b + 85012 wrt b?\nAnswer: 54818988*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4317677)\/(-357) - (-1)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/2 - (15 + (-459)\/34). Let w(q) = 126*q + 7*q**2 + 125*q + p*q**2 - 251*q. Let g(f) = -10*f. Calculate w(g(j)).\nAnswer: 1200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 6 = 0. Suppose -4*q + 5*c = -45, -q - 5 = v*c - c. Solve -2 = b + 3*z - 7, q*z = -3*b + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 110db + -3?\nAnswer: 110d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -401*b**5\/20 + 254*b**4\/3 - 74*b. Find the third derivative of l(o) wrt o.\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5)*15\/(-6). Let z(d) = -2*d - 5*d**y + 0*d - 1 + 0*d. Suppose 0*s = s + 1. Give z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5 (c) 0.27 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5995466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 1. Let m be o(-2). Let j(w) = 4*w. Let k be j(1). Let l be -1 + k - (-9 - -10). Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106352 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - 2*sqrt(133) - sqrt(133) - sqrt(133))*5)\/(sqrt(7) - (sqrt(7) - ((sqrt(70) - (sqrt(70) + sqrt(70)*1))\/sqrt(10) - sqrt(7)))))**2.\nAnswer: 4275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17625 and 940.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(-102 + 213 - 2810)*((-1 + 4 - 4)*(2*p - 4 + 4) + p - 11*p + 5*p + p + 0*p + p) in the form h + q*p and give q.\nAnswer: -26990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 72 + (154 - 254) + (55 - -2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v + 135 = 3*u + 81*v, 5*v = 5*u - 205. What is the remainder when u is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3679 from -41020956302.\nAnswer: -41020956301.6321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31.17564 minutes?\nAnswer: 1870538400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4530054 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*t**3 - 5719735*t**2 - 51414747?\nAnswer: 12*t**2 - 11439470*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1557 or -1555?\nAnswer: -1555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 77851*f**3 + 1527150609*f**2 + 464461808249*f - 465989036710 = 0. Calculate f.\nAnswer: -38771, -310, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + sqrt(78)*2*-1)\/(sqrt(96)*2)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30190 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(5*1*sqrt(3)))\/((-2*sqrt(121))\/sqrt(11) + sqrt(11) + sqrt(11) + sqrt(99)*-5)*-1)**2.\nAnswer: 1\/1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, j: 5, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1739282, 1739273, 1739262, 1739249, 1739234, 1739217, 1739198?\n\"Answer: -z**2 - 6*z + 1739289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153\/5)\/(30*(-122)\/(-6100)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 11*v**2. Let g be x(-11). Suppose -3*u - i + 6*i = -57, g = -2*u - i + 25. What is the highest common factor of u and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2\/3, 1\/6, -201?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2376*i**4 - 17564*i**3 - 48360*i**2 - 58704*i - 26464 = 0.\nAnswer: -2, -827\/594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0 + 7\/12*c**4 - 1\/20*c**5 - 4*c**2 + 7*c + 1\/3*c**3. What is the units digit of v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12727, 12728, 12729, 12730, 12731, 12732?\n\"Answer: o + 12726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let i(r) = 3*r**2 + 2*r**2 - 6*r**2 + 2*r**2. Give i(s(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32721, -130795, -294221, -522999?\n\"Answer: -32676*q**2 - 46*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 356 and 0.2.\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 - 4 = -4*x, 2*j - 4*x = 26. What is the smallest value in -3\/4, -0.5, 4, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 20) + -30 + 32\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r + 86*r + 32 - 155 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/48 and -49\/11?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from qbsdqsddqss?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119752?\nAnswer: 2, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + j + 4*c = -44, 3*j - 7*c + 231 = 299 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -13\/7, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3 + 29064*o**2 + 87178*o + 58116 = 0?\nAnswer: -14529, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -34*f + 253 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26555?\nAnswer: 5, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 6\/11, -4, 1\/107, -1\/4, -0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 1436745308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000494213932 to 6 dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h + 588. What are the prime factors of w(0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/65)\/(3\/(-75)). Solve -k + 19 = 4*z, m*z - 6*z + 1 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = 86856*f - 86809*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5768445 (base 9) to base 14.\nAnswer: -5b1875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54e (base 15) to base 6\nAnswer: -5315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443 - -831. List the prime factors of d.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125856217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -1?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 25533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**4 - 12*k**3 - k**2 - 224 wrt k?\nAnswer: -120*k - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(20\/4277) - 12\/(-16). Suppose -5*b + z = 3*y + 212, 337 = 2*b - 5*y. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 + 26*q**2 + 214*q - 1869. Determine y(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90513 (b) 0 (c) 365\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -104. Suppose -t*j = -9, -n - j = -0*n + 101. What are the prime factors of (-19227)\/n + (-2)\/(-16)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -5 (c) 0.6 (d) -2 (e) 2\/1877 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3*(-3)\/9). Suppose -4*q + 5*i + 45 = -m*i, -2*q + 35 = -5*i. Let h(y) = y + 7. Does 4 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/4 (b) 50 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12427 and 578.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 260 = -4*k, -4*s - k + 601 = -507. Suppose 6*t - 4*n = 2*t + s, 3*n = -2*t + 153. What is the remainder when t is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3*a**7 - a**6\/2 + 5*a**4\/4 - 1023*a**3 - 414. Find the third derivative of c(p) wrt p.\nAnswer: -2520*p**3 - 180*p**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q**2 - 38*q + 56*q - 18*q.\nAnswer: -94*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14488, 28974, 43460?\n\"Answer: 14486*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:03 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 2*q**3 - 88*q**2 + 4*q - 2*q**2 - 70*q**2 + 233*q**2 - 73*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - -13. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*s**5 + 5*s**3 + 35\/3*s**4 - 160\/3*s - 20 - 115\/3*s**2.\nAnswer: 5*(s - 2)*(s + 1)**3*(s + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*m**2 - 200*m**2 - 1660 - 57*m**2.\nAnswer: m**2 - 1660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.8578 millilitres in litres?\nAnswer: 0.0278578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1995.578818 to two decimal places.\nAnswer: 1995.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + (sqrt(7) - (3 + sqrt(7) + 0)))**2 - (2*sqrt(126))\/(sqrt(14)\/(sqrt(7) + sqrt(21)\/sqrt(3))).\nAnswer: -12*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64906 is divided by 146?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44614, -40873, -34638, -25909?\nAnswer: -14686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -254a (base 13) in base 15?\nAnswer: -1886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7578 + 952 = -5*m. Let u = 2926 + m. What is u rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + (22 - 28) + (3 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 24*w**2 - 2653*w - 811. What is l(65)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8546100 rounded to the nearest ten thousand?\nAnswer: 8550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -293644.\nAnswer: -293643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-5) + (-4)\/(-10). Let l(s) = s**2 + 8*s - 7. Let p be l(-8). Let n be p*2\/(-6) + -3. What is the closest to n in q, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 587174289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3725*u - 63290. What is r(17)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 11*o**2 - 9*o + 10. Let n be u(-10). Suppose 5*g + n*g = -30. Let p = 7 - g. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 18. Suppose 4*m = 30*m - 572. Suppose 119 = m*r - 5*r. Give b(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 + 117. Let p = 157\/1539 - 4\/81. Which is bigger: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two fifteenths of a hour?\nAnswer: 5280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2\/5, -149, 4, 417 in decreasing order.\nAnswer: 417, 4, -2\/5, -61, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005867 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448528 divided by -6.\nAnswer: 224264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*6\/(-120))\/((66\/(-390))\/11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 129*f + 129*f - 7*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*m + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7774062138.\nAnswer: 2, 3, 31, 467, 29833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 133895, 269003, 404109, 539213, 674315, 809415?\n\"Answer: -z**2 + 135111*z - 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.901762 decades?\nAnswer: 9.01762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112546, 111197, 109852, 108517, 107198, 105901?\nAnswer: 104632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/126 and 43\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 133801535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 6 + 1. Let y = 1 - d. Suppose 3*i = y*i. Is 0.3 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71.599999677 + -71.6. Round c to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 248*k**2 - 2. Let l(z) = 155*z**2. Determine h(l(d)).\nAnswer: 5958200*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93.3 - 93. Let o = 0.3 - -0.7. Let h = 4 + -6. Put h, n, o in ascending order.\nAnswer: h, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2. Let l(g) = 12*g + 6. Calculate j(l(h)).\nAnswer: -432*h**2 - 432*h - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2 - 403 + 2995*p - 2715*p. Let m(g) = 93*g - 133. Let w(a) = 3*j(a) - 8*m(a). Differentiate w(n) wrt n.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikixqkkkk. What is prob of sequence iqi?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10956 = 4*u, -25*g = -27*g - 4. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481937663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by 3\/(-6) - (-6)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11587\/4 - -2846. Let n = y - -51. Let q = -0.5 - -0.1. Which is the biggest value? (a) 3 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -807536 - -2.\nAnswer: -807534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 15 = 2*t - 7*t, -4*t + 12 = 0. Suppose -5*r + 668 + 7 = g. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 159 and 129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 70484.083.\nAnswer: 70484.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7703\/5 - -1541. Let j be 2 + (27\/(-4))\/3. What is the closest to 0.1 in j, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011110 + 12012?\nAnswer: -222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.06. Let d = 0.2599974 - w. Round d to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*r - 62, -4 = 4*r + 12. Suppose -3*b + 5*w = l, -3*b - 5*w = b - 28. Find the third derivative of -10*m - 3*m**b + m**4 + 10*m wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*m - 2*m + 24, -5*m = -5*k + 135. Let a = -12 - m. Calculate the least common multiple of 20 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -200\/21 in -1\/10, 3, 32?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*d - 6*d - 74 - 4 = 0, -2*s = 62*d + 230 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 0.271189?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**4 + 5*h**3 + 20*h**2 - 4.\nAnswer: 192*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -367\/3 (b) -0.1 (c) -1\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 - 8*k - 8. Determine d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 100*j - 291.\nAnswer: -(j - 97)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 0.43. Let w = -1.3 + 0.8. Sort l, w, 3 in descending order.\nAnswer: 3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 3 + 4 - 8*n**2 - 14*n - 10*n - 4 to the form t*n**2 + h*n + b and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*t - 27 = 0, 3*w - 3*t = 10 + 47. Solve w*v - 12*v = -2*x - 6, -10 = 5*v + 3*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y - 1. Let s be 1 + (-1 - 0) + 6. Let t(q) = 17*q + 3. Suppose 5*h - 3*c = 86, 4*c = 5*h - 6*h - 15. Determine h*v(a) + s*t(a).\nAnswer: -2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 10*w + 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 3, 118, -1 in ascending order.\nAnswer: -6, -4, -1, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 27 - 297. Suppose -5*u - 2 + 17 = 0, -4*u - 193 = 5*i. Let r = i - w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.4. Let n be 57\/513*(-63)\/35. What is the closest to -0.7 in -1\/8, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1830 and 1\/185863340.\nAnswer: 557590020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.3245l in millilitres?\nAnswer: 524324.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = 10, -5*y + 4*p + 31 = 0. Solve 0 = -y*k - 2*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:21 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Suppose -x + t + 2 = d, -4*x + 5*d = -11. Suppose 5*f - x*r - 62 = 84, 2*r = 2. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m - 53. Let b(r) = 23*r + 158. Determine 6*b(d) + 17*s(d).\nAnswer: 2*d + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1575276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 9.08. Let g = p + 9.1. What is the closest to g in -2\/11, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 4*c - 12. Suppose -41*t = -22*t + 133. Let q be m(t). Factor -4*k**3 - q*k**2 + 27\/2 - 1\/2*k**4 + 0*k.\nAnswer: -(k - 1)*(k + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*y - d, -2*d + 4 = 2*y + 18. Is -2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 16*m = 17. Let h = -7 - -14. Suppose m = 8*l - h. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15094 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s**3 + s)*(-1 - s + 1)*(-3*s - 5*s + 6*s).\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - 2373 = -2421 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55050464 divided by -2968?\nAnswer: -18548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 48797.\nAnswer: -18\/48797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102819500 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) - sqrt(2541)*-2) + sqrt(2541) - sqrt(2541))\/(6*1*sqrt(3) - sqrt(3)).\nAnswer: 33*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.1. Let g = -0.2 + o. Suppose 0 = -424*s + 409*s + 15. Which is the third biggest value? (a) g (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 6*a**3 - 3*a**3 + ((a - a + 2*a)*(-3 + 3 + 2) - 48*a + 29*a + 32*a)*(-a - 8*a + 0*a)*(a + 0*a - 2*a).\nAnswer: 157*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o. Let r be y(-1). Let t be (156\/(-195))\/((-1)\/(-40)). Let h(i) = i**2 + 33*i + 35. Let n be h(t). Solve m + n = r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 6 - -4*1. Let w be (u - 8\/4) + 11. Suppose -c = -t - w, -5*c - 3*t + 68 = -0*t. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j**(-2\/5))\/(j\/j**(-7)*j*j**(-3)))\/(((j*j**(1\/5))\/j)**(1\/12)*(j*j*j\/j**(-1\/3))**10) assuming j is positive.\nAnswer: j**(-919\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:28 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663022 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -8\/7, 3 in decreasing order.\nAnswer: 3, 2\/5, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42839 times 3.398?\nAnswer: -4.85366922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181421 - -61375411.\nAnswer: 61556832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56865746 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14278409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, l: 2, a: 2, k: 1, j: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.5134289 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-40) - 19789\/(-5)?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15569, 15576, 15583, 15590?\n\"Answer: 7*n + 15562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108729937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*t + 33 = 9, 3*n = -3*t. Suppose g = -q + 635, n*q + 0*q = -8. Suppose -2*m + g = 5*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15*g**3 - 5*g**2 + 233*g + 3. Let p(b) = -2*b**3 - b**2 + 4*b + 1. Give -5*p(z) + r(z).\nAnswer: -5*z**3 + 213*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4038 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*(-1 - 1). Sort -4, 0, r in descending order.\nAnswer: 0, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 152*z - 159*z. Let u(d) = -3*d + 3. Let o be u(6). Let t = o - z. What is the highest common factor of t and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372878.\nAnswer: 2, 11, 17, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 8*l + 5. Let i be m(8). Let x be (2\/(-5))\/(2\/10). Sort x, 4, i in decreasing order.\nAnswer: i, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c - 18 + 12*c + 7*c. Let a be g(8). Suppose 4*d = -5*x - 6, -4*x = x - 5*d - a. Solve 3*z + x*z + 15 = 0, -b = -3*z - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**4 - b**3 + 11*b**2 - 19*b**2 + 9*b**2 - 2*b in the form k*b + i*b**2 + o*b**3 + a*b**4 + u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - 2. Calculate i(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**2 - 154*j + 227. Calculate q(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336.05001995771 + 0.05001427771. Let a = -336 - l. Round a to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a - 5. Is c(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irykykiykkkikikrk. What is prob of sequence yiy?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -13*a**6\/30 + 7*a**4\/24 + 187*a**3\/6 - 29*a**2 + 6. What is the derivative of p(x) wrt x?\nAnswer: -156*x**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 38 = 5*n - 3*q, 3*n - 27 = 5*q. Let l(v) = -2*v**2 + 11*v + 68. Let x be l(-4). Let t be (x + 8 + 4\/(-52))*2. Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98980, -98989, -99004, -99025, -99052?\nAnswer: -99085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/37)*d*d**(-32))\/(d**21)**23 assuming d is positive.\nAnswer: d**(-18983\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 - 585\/(-468). What is the nearest to 1 in -1, d, -19\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -2 - (-2*585)\/(-3). Let j = m + 256. Let b = 104 - j. List the prime factors of b.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41282336 times -0.4\nAnswer: -16512934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -320 - -360. Let q = 40.11 - o. What is the closest to 1 in -2\/5, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992314 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, w: 4}. What is prob of sequence zwzw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301290406 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 8) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 1018 + 312. Let u be b\/(-18) + (-2)\/(-9). Solve -3*s - 2*x - 10 = -x, -2*s + u = 5*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/63 + 2\/3. Suppose -11 = 4*r - s, 7*s = -5*r + 3*s + 2. What is the fourth biggest value in v, 2\/9, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(((-40)\/(-12))\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.68?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 + 10\/14. Let t be (-14*(-1 - 0))\/w. Let m = 48 - 44. Solve 5*h = -0*h + m*q + 37, -h + 3*q = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k - 7. Let v(q) = -q + 7. Let p(z) = z - 8. Let n(w) = -5*p(w) - 6*v(w). Give -2*j(h) + 7*n(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/342 and 65\/144?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 5*f + 27 = 0, -p + 2*f = -10. Let c(u) = -128 + 275 + 18*u - 140. What is the units digit of c(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**3 + 12*d**2 - 12*d. Suppose -4*j - 16 = 0, -u + j = -77 + 27. Let x(r) = 28 + 18 - r + r**2 - u. Determine p(k) - 12*x(k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -4\/1691 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 854230*a**4 + 2*a*b + 11*b - 529199 wrt a.\nAnswer: 3416920*a**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/18)*u*u*u\/u**(13\/5))\/(u**(6\/5)*u*u**(-2\/41)) assuming u is positive.\nAnswer: u**(-2977\/3690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -2, 1 in increasing order.\nAnswer: -56, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {r: 1, k: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(4\/5))\/l**(-8) assuming l is positive.\nAnswer: l**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*a*p**3 + 4*a + 381*p**3 wrt a.\nAnswer: -37*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 65 = -1. Suppose 4*g = -0*l + 5*l - 124, g + 4*l = -10. Let w = n - g. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + (16 - (53 + -20 + 4))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 + 0*d**2 + 5*d**3 + 6*d**2 + d**3 - 1. Let i be n(-1). Put 0.5, 3, i in decreasing order.\nAnswer: 3, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.02 (c) -0.03 (d) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -7, -1, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 + -0.07. Let d = -0.1576 + h. Let s = d + 0.03. Round s to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*s + 10 + 65 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/16 - 2 - 0. Let m be (4\/(-130))\/((-2)\/10). Let d be ((-2)\/(-28))\/(7\/(-28)). Which is the nearest to d? (a) o (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -2.17, -2, -3, 232 in increasing order.\nAnswer: -3, -2.17, -2, 0.3, 2, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-760)*10*(-2)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 515*p**2 + 153?\nAnswer: 1030*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-30) - 1\/2. Do p and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23, 5, -8, 2, 3 in ascending order.\nAnswer: -23, -8, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 65 = -s. Let y = -2 + s. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/5991939 and 4\/357.\nAnswer: 41943573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 71*o**3 - 5*o**2 + 145*o**3 - 70*o**3 + 0*o in the form s*o**2 + i*o + h*o**3 + d and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858*n + 880 = 866*n. Let m(f) = 34*f - 3. Let j be m(-3). Let h = n + j. Solve h*y = 4 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 38 = 2*d, h + 3*d = 2*d + 17. Let x = -19 - -37. What is the lowest common multiple of h and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-175)\/50 - 4389\/(-6). Calculate the greatest common factor of 56 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = -5*z - 4*n, -95*z + 136 = -94*z + 4*n. Suppose 0 = -6*q + z + 64. Calculate the remainder when 89 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 + 131*k**2 + 42*k + 66. Calculate z(44).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 0.96. Suppose 2*t - 994 = 5*g, g + 158 = 5*t - 50. Let q be 42\/(-231) + 8\/g. Which is greater: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a*(a*a**9)\/a*(a\/(a**(-9)*a*a))\/(a*a**(18\/7)\/a))**(2\/7) assuming a is positive.\nAnswer: a**(328\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 549295 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 334324 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let r(o) = 6*o - 2. Calculate -r(m) - 4*v(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -131\/14, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mffxdyymmyxmmdmyxm. Give prob of picking 2 m.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7312621.2948 + -4\nAnswer: -7312625.2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.5 (c) 0.1021 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11000100010001000010?\nAnswer: -11000100010001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11110101111100101010110 (base 2) to base 8\nAnswer: -36574526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k - 49*k - 34 = -2*h, 0 = -3*k - 5*h - 3 + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.831 in 2\/89, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -6 (c) -1\/24 (d) -163\/5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {y: 2, q: 1, x: 2, p: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/1 + (-3 - 0). Suppose -o = -5*n, -2*l - 2*l + 26 = n. Let r = -4 + l. Solve -5*q + h = -15, -r = 2*q - 0*h - 2*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2301 is divided by 572?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 3269 = 794. Suppose -3*c - 3*v = -2*v + 672, 5*c + 3*v = -1116. Is c smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, 28, 3 in descending order.\nAnswer: 28, 5, 3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o + 0 + 1\/15*o**5 - 1\/2*o**3 - 26*o**2 + 5\/24*o**4 - 1\/120*o**6. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-7)\/(7\/(-9)*-9))*1\/40\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/7 - 386*f**4 - 771840*f**3\/7 + 95303944*f**2\/7 - 2328094400*f\/7 - 7862640000\/7 = 0. Calculate f.\nAnswer: -724, -3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 71*a**5 - 2*a**3 + 344*a**2 + 2*a + 2. Let q(v) = v**3 + v**2 - v - 1. Let b(n) = f(n) + 2*q(n). What is the third derivative of b(z) wrt z?\nAnswer: 4260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let y(s) = -3*s - 2. Let l(i) = -4*i - 3. Let v(x) = 4*l(x) - 6*y(x). Calculate 3*p(u) - 4*v(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27775 = -11925*m + 10814*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30a (base 12) in base 15?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 192109*v**2 + 154890 wrt v?\nAnswer: 384218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/240*j**6 + 3*j**2 + 0*j**5 + 1\/840*j**7 + 1\/48*j**4 + 0*j - 1\/24*j**3 + 0. Factor q(o).\nAnswer: (o - 1)**3*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128729396 to the power of 1\/3, to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78789.63g to milligrams.\nAnswer: 78789630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 1. Let l be f(-5). What is the second derivative of -2*s**3 + 2*s**3 - l*s - 7*s**3 + 2*s wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.127 - -0.127. What is the nearest to y in 2\/19, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p - 28. Let f be u(-7). Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let f = x + -0.6. Let w = f + 0.6008. What is w rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.483881 decades in centuries?\nAnswer: 0.0483881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5063 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1255994, -1255995, -1255996, -1255997, -1255998, -1255999?\n\"Answer: -w - 1255993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 348910*x**4 + 344946 wrt x?\nAnswer: 1395640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 44. Suppose -7*r + 129 = -6*r. Suppose -5*p + r = -56. What is the remainder when p is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 65*g - 301. Give w(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(2299)*-1 + 0) - 5*(-4 + sqrt(2299)*2 + sqrt(2299))) + 3)*-5)**2.\nAnswer: -215050*sqrt(19) + 16623500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k + 7. Let s(n) = -n - 1. Let p(w) = b(w) - 5*s(w). Let g = -201 + 201. What is the remainder when 21 is divided by p(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88479861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2408122697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 2*w - 2*w = -156, 1225*i - 1228*i + 5*w = 41 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(16)\/sqrt(4)) - (1*(sqrt(38) + sqrt(38)*1) - sqrt(38)))\/(sqrt(18)*-1 + (sqrt(2) - (sqrt(2) - sqrt(4)\/(sqrt(8)\/sqrt(4))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3236 + -3256 + (80 - (1 - 0))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/44)\/(75\/60)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*c - 22 = 0, -169 = 4*d + 2*c - 185. Sort 5, d, 65 in descending order.\nAnswer: 65, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98611 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 132\/13? (a) -35 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.424 + -0.024. Which is the closest to -2\/3? (a) t (b) -0.2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4074*t + 2488*t + 3527*t - 3550*t.\nAnswer: 6539*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/15*-1 - 33\/(-11).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1177)\/(-2))\/((-49)\/(-98)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(36)*4)\/sqrt(6)) + -4.\nAnswer: -4 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = -28*v + 40. Suppose 0 = v*j - 2*j - 651. Suppose 168 = 5*m - j. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w*(w**(-5)*w)\/w*w*w)*w))*w**1)\/(w**(3\/5)\/w**(-3)))\/((w**1)**(-3)\/((w**(-1)*w)\/(w**(-1)*w))) assuming w is positive.\nAnswer: w**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 2006628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etst when four letters picked without replacement from {c: 7, t: 6, e: 3, s: 3}.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 480, 1114, 1756, 2406, 3064, 3730?\n\"Answer: 4*y**2 + 622*y - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and (210\/49)\/((-13)\/(-455)).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 747.5 + -747. Suppose -2*x - 5*g - 11 = 0, 4*x - 6*x + 4*g = 2. Let i be (-2)\/x*6\/14. Which is the closest to i? (a) -1\/6 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 91 = 17. Suppose y + d = 70. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15769 - 10007. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(140) + sqrt(140) + sqrt(140)*-1)\/sqrt(4) + -1*sqrt(140))\/(sqrt(80) - (1*2*sqrt(80) + sqrt(80) + sqrt(80)))*4)**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = 4*l, 5*l = -2*k + 8 - 2. Suppose 3*s - l*s = 8. Calculate the least common multiple of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 463\/3, -1\/15, -2\/7, -0.16?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 2*h. Calculate i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**3 - 282*b**2 + 316*b + 3576. Give f(55).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -882705, -882687, -882653, -882603, -882537?\n\"Answer: 8*c**2 - 6*c - 882707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3 - 3*b**2 + 15*b - 9 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 24*l = -5*f + 92, -2*f = -9*l + 29. Solve -31 = f*u + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15 - ((-2 - -5) + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(304) + 4 + sqrt(19) + 2)**2.\nAnswer: -84*sqrt(19) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157413*b**2 + 267142*b wrt b.\nAnswer: 314826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(2028 + 2). Suppose u = -0*r + 5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 18*q - 15. Let p be h(-17). Let g be (100 + -114)\/(4\/(-6)). Solve -g = -5*w + 4*j, -j = p*w - 3*j - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5755*l**3 - 79*l**2 - 29*l wrt l.\nAnswer: 34530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppapappmpapppm. Give prob of picking 1 p and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8858*s + 2. Let f(n) = 10*n**2. Give a(f(j)).\nAnswer: -88580*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-552)\/(-80) - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*15\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:47 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2992*-1254\nAnswer: 3751968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 31*x**6\/120 + 7*x**5\/60 + 13*x**2. Find the third derivative of s(f) wrt f.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34ca7 (base 13) to base 8.\nAnswer: 274574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(224\/105) - (-1)\/8. Let l = 1 + 0. Put l, 4, u in increasing order.\nAnswer: l, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:57 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 519070 divided by 5?\nAnswer: 103814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 - -7?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7)\/t*t**9*t\/t**(-4)*t*(t\/t**(1\/4))\/t)**(-46) assuming t is positive.\nAnswer: t**(-713\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544254?\nAnswer: 2, 3, 90709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(1\/3))\/x))**(-1\/33)\/(x*x\/x**(-1\/8)*x**(2\/15)) assuming x is positive.\nAnswer: x**(-9103\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x + 2. Let n(w) = 7*w - 1. Determine -5*g(m) - 6*n(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, 0.2, -81?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.043 and 39085.\nAnswer: 39085.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 3*l - 26*l + (1 + 1 - 4)*(-4*l - 13 + 13).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 890564*w - 2050829 wrt w?\nAnswer: 890564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**11)\/l*l**(-3\/2))**46 assuming l is positive.\nAnswer: l**(-575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 + -3.1. Let x = 2.2 - l. Let b be 310\/70 - 1*4. Sort b, x, 0.5 in decreasing order.\nAnswer: x, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stnnmntnnsmmmisis. What is prob of picking 1 s and 2 t?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w - 47*w - 27 + 63*w - 10*w. Determine p(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -312*r + 1650 + 3966 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2995, 6156, 9317, 12478?\nAnswer: 15639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6\/7, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14519, -11931, -7617, -1577?\n\"Answer: 863*k**2 - k - 15381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -35*p**4\/6 + 11038*p**3\/3 + 15250001*p**2\/6 + 1959353*p\/3 - 145184 = 0.\nAnswer: -416, -2\/5, 1\/7, 1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let s be (-3)\/6*0\/1. Let b be y(s). Suppose -2*c = -b*c. Let u(x) = -x**2 - 1. What is u(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 10260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*q, -o - o - 4*q - 32 = 0. Let y = o + -21. Let l = 70 + y. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 1\/3 (c) 0.4 (d) -5302\/21 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2077 + -2076.99998553. What is n rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000283571667 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skpaaptaapsa. Give prob of picking 3 p.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32099, 64590, 97081, 129572, 162063, 194554?\nAnswer: 227045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + (-1 + 14 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*n**5 - 7*n**2*s**3 - 2*n**2*y - 3*n*s**3*y + 11*n*s*y + 2*s**3 + 2*y wrt n?\nAnswer: -1600*n**3 - 14*s**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 0.11. Let u = g - -4. What is the biggest value in -3, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.0775934 minus 0.03?\nAnswer: -100.1075934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15016066*p**3 + 809562*p + 14 wrt p.\nAnswer: 90096396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + 644\/6. Let h = c - 42. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t - 2*d - 2225 = 0, -2*d = t - 457. Suppose -983 = -11*v + t. What is the highest common factor of v and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-68))\/(9\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/22836 and -73\/120?\nAnswer: 228360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4*m + 6*m - m)*(-210*m**3 + 596*m**3 + 2*m**4 - 203*m**3).\nAnswer: 4*m**5 + 366*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24078 + -5873. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/2 - -1)\/(0 - -1). Let m(a) = -a**2 + 10*a - 21. Let d be m(r). Solve 2*s + 19 = 3*g + d*s, s + 6 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23602 + 19269 = -5679*h - 36635 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10348*a + 450. Let m(d) = -5175*d - 225. Let r(j) = 5*m(j) + 3*n(j). Let g be r(-25). Round g to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 - 80 = 36*l - 53 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70002 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -37. Let q be ((-4)\/6)\/(3\/18). Suppose -8 = i - 3*i. Put x, q, i in decreasing order.\nAnswer: i, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/6 + 23*q\/3 + 529\/6 = 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + -2)*-6) + 3)**2*-4 - (-2*sqrt(2430) + sqrt(2430) - sqrt(2430))\/(sqrt(24)\/sqrt(100) - sqrt(6)).\nAnswer: -48344 + 7011*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 4:31 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d + 11. Suppose 649 = 55*u + 4*u. Let t(n) = -13*n - 10. Let m(s) = 37*s + 27. Let z(x) = u*t(x) + 4*m(x). Give -2*r(k) - 11*z(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -3*h - 33, 5*h + 2*b + 71 = 0. Let l be h\/(-5)*15\/3. Let y(g) = -126 + l*g + 126. Let i(c) = -2*c. Calculate i(y(r)).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 529685332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 61*x - 79. Let h be o(-29). Let y(s) = s**3 + s + 13. Let l be y(0). Solve -m + h = l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-90)\/75)\/(2\/5). Suppose -2*o + 2*s = o - 4, 2*o + s + 9 = 0. What is the units digit of -3*o\/d*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = 5*g - 18*m + 125, -3*m = g + 42. Sort 1\/5, g, -4.\nAnswer: g, -4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -11*r**4\/6 + 3*r + 4. Let w(v) = -2*v**2. Give w(s(q)).\nAnswer: -968*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(621\/(-18))*-2*3\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 20667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-7))\/((-2)\/7). Suppose -59 = 3*q - 68. Find b, given that 1\/4*b**4 + 7\/4*b**q - c*b**5 + 0 - 1\/4*b**2 - 1\/4*b = 0.\nAnswer: -1, -1\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1741 + 1741. Solve -3*x + 4*o + 0 = 5, n = -5*x - o - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138105 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.054 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*w - 13 - 12, 0 = -5*d + 3*w + 25. Let r(g) be the second derivative of g**5\/20 - g**4\/4 - g**3\/2 + g**2 + 6*g. Is r(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1806, 616 in ascending order.\nAnswer: 3\/4, 616, 1806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/462010 or -1?\nAnswer: -11\/462010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/8)\/(114\/152)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 + 4*j + 3. Let v(h) be the third derivative of h**5\/10 + 5*h**4\/24 + 2*h**3\/3 - 3*h**2. Calculate 3*v(s) - 4*x(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k**4 + 0*k - 7*k**2 + 0*k**3 - 1\/12*k**5 + 0. Let q(m) be the first derivative of -2*m**3\/3 - 4. Determine v(q(z)).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 410*q + 411*q = -2, -5*q = 5*w - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = 2*z. Let r(d) = d**2 + 5*d - 4. Let m be r(z). Let j be (-592)\/(-72) - m\/(-18). Solve 2*h = -0*h + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32656, -11489, 9678?\nAnswer: 30845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -143*a - 55. Let d = 687 - 797. Let m(n) = -8*n - 3. Calculate d*m(y) + 6*x(y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10958, -86292, -290770, -688964, -1345446, -2324788, -3691562?\n\"Answer: -10762*p**3 - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33106273.\nAnswer: 2371, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 2*j**3 - 8*j + 8*j**2 - 3*j**3.\nAnswer: -5*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 135\/26599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)*w**(-3)*w**1*w*w**(-23))**23 assuming w is positive.\nAnswer: w**(-782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) + 0\/2. Let j = 25 - n. Suppose 3*k - 27 = 9. Calculate the remainder when j is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13116842 to the power of 1\/2, to the nearest integer?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2806763 and 3092?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 422717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159018396 by 13251533.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 = 5*q + 10*q - 901 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -58ca0?\nAnswer: 58c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than -1\/8612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/120 + 3*i**5\/20 + i**4\/4 - 8*i**3\/3 - 426*i**2. Factor c(q).\nAnswer: (q - 1)*(q + 2)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 2. Let h(z) = -10*z - 7. Let g(v) = -2*h(v) - 7*s(v). Let c(a) = -1. Determine 5*c(l) + g(l).\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79054.47 months to years.\nAnswer: 6587.8725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 726 - 800. Which is the second biggest value? (a) -0.2 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15243 and 53\/51.\nAnswer: 259131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + j = -21 + 4, -5*x + 29 = 3*j. Let a be 1 + 0 + -1 + x. Solve -a - 11 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2642, -1, -5, -3, 73, 2, 1 in decreasing order.\nAnswer: 2642, 73, 2, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (3 - 10 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, -2 in increasing order.\nAnswer: -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45427 - -5?\nAnswer: 4542c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-60)*0 + (-32923)\/(-451)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 + 5*r + 1\/12*r**4 - 1\/6*r**3 - 1\/80*r**5 + 0*r**2. Let n(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004913 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3823034, -3823033, -3823032?\nAnswer: -3823031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 2001.5135?\nAnswer: 2001.7135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -29*f**2\/2 - 24*f - 17. Is k(-8) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u + 5 = -5*z + 50*u, 5*z = u + 35 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7183071 and -0.2.\nAnswer: 0.34366142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 11 = -695*b + 697*b - 1, b = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-14818\nAnswer: -44454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Let p be (-2 - -3)\/(1\/s). Solve 2*c + 8 = p*a, -4*a - 7*c = -4*c + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d**2. Let s(z) be the third derivative of 0*z**3 + 0 - 1\/8*z**4 - 14*z**2 + 0*z. Give q(s(o)).\nAnswer: 135*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*l**6 - 2*l**4 - 151477*l**3 + 3*l**2 + 62*l - 81137?\nAnswer: -8400*l**3 - 48*l - 908862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35760 divided by 35760\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*v - 4*c, -3*v - 4*c = -2*v - 20. Suppose -18*p + v = -44. Solve -5*a = d, -a = p*d - 6*a - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2448) + -1 + sqrt(2448).\nAnswer: -3 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -6, 1\/2 in decreasing order.\nAnswer: 1\/2, -6, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxpxxxlmxkmxmxm. Give prob of picking 1 l, 1 m, and 1 k.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -25, -58, -105, -166, -241, -330?\n\"Answer: -7*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 10:11 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 24*i**2 + 37*i + 344. Calculate o(-12).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 5. Suppose z - 9 = 3*i, -z + 7 = -5*i - 2*z. Let v be -5*3*i\/(-6). Let b(k) = 5*k**2 + 6. Give v*b(q) + 6*m(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let p(b) = -b - 6. Let o be p(z). Let u(l) = l**2 - 12*l + 30*l + 7 - 10*l. Determine u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from aaaageaaaaadaaaleadh?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52131.4 rounded to the nearest one thousand?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x**(-2\/7)\/x*x)\/(x**(-1))**33 assuming x is positive.\nAnswer: x**(278\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 834300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Suppose f*d - 15 = -d. Solve d*t + 10 = 30 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-27)*x*(x**24*x*x)\/x assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10610 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90252.77l to millilitres.\nAnswer: 90252770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186169.512 - 185257. Let p = r + -917. Round p to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 3*u**2 - u + 2. Let m be f(2). Suppose -5*p = -p + m. Let c(i) be the first derivative of 3*i**2 + 2. Calculate c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 - 3*w - 18. Let k be z(6). Solve 4 = -k*n + 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 370459.2 nanometers?\nAnswer: 370.4592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 - 11*t + 4. Let f(k) = k**2 - k - 1. Let a(p) = 3*f(p) - h(p). Let x = 16 - 25. Let s be a(x). Solve 0 = -s*o + 4*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85979947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2621096, -2621117, -2621138?\n\"Answer: -21*q - 2621075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1002014231331?\nAnswer: -1002014231331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49209535 to the power of 1\/2, to the nearest integer?\nAnswer: 7015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65985481*b + 31822475 wrt b.\nAnswer: -65985481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 965800 + 1584200. Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*x. Solve 3*z = 4*u - 14, -4*z = 2*u - x*z + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 914704, 1829439, 2744188, 3658957, 4573752?\nAnswer: 5488579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-16))\/(2\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 22*h**2 + 35*h**3 - 2 + 5 - 15*h**2 + 4*h**2 to l*h**2 + b*h**3 + w + a*h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 291632316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111\/2*c - 1\/2*c**3 - 153\/2 - 23\/2*c**2.\nAnswer: -(c + 3)**2*(c + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoaz when four letters picked without replacement from {a: 2, o: 1, i: 2, z: 1, h: 2, j: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.74 - -25.26. Let u = -358 + 302.8. Let i = u + x. Round i to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 16. Let f(j) = 6*j - 1. Calculate the remainder when f(1) is divided by q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32.46584km?\nAnswer: 32465840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**3 - 3*k. Let t(i) = 4*i + 5*i + 5*i + 24*i**3. Suppose -18 = 4*h - 74. Suppose -c + 4*c = 9. Calculate c*t(y) + h*g(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -13*h + 2652. What is the smallest common multiple of h and 28?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l - 8. Let d(f) = -43*f + 52. Let k(a) = -2*d(a) - 13*s(a). Let q(v) = 2*v**2 - 39*v. Give q(k(t)).\nAnswer: 50*t**2 + 195*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 359 and 367 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.68, -1\/39, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.166664ml?\nAnswer: 0.009166664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/51)*g*g)\/g*g**(-11))**(-18) assuming g is positive.\nAnswer: g**(2742\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbue when four letters picked without replacement from tixtxeebetu?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -95*t + 148. Determine y(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6288077 micrometers to kilometers.\nAnswer: 0.0000000006288077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgqgqzzaalagakqazazl. Give prob of picking 2 a and 1 q.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 11*n**2 + 2*n + 5. Suppose 13*l - 162 = 72. Calculate the remainder when i(11) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y - 6 = 0. Let u be -4*(0 - (y + 10)). What is the units digit of (u\/(-2))\/(1*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -11. Suppose -t*q + 4*q - 2 = 0. Suppose -4*s - 16 = 0, 8 = -5*i - 5*s - q. Solve i*z + 8 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1387591833 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 160 = 2*s, 0 = -5*u + 5*s - 106 - 94. Is u\/(-260) + (-3872)\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 2. Suppose -3*t = -9, -50 = -k - 4*k - 5*t. What is p(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 3*i**2 + 2*i**2 + 5 + 4 - 14*i. Calculate the least common multiple of x(-10) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63))**2 + sqrt(7) + (2*sqrt(7))**2*-4 + 3.\nAnswer: sqrt(7) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 34*u**2 + 49. Let k be j(-34). What is the second derivative of k*y + 33*y**2 + 75*y + 34*y**2 - 16*y**2 + 15*y**2 wrt y?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1031246995 - -99530803720823\/96515. Let x = w + -4\/995. What is the nearest to 0 in -3, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 3. Let v = -7 + 9. Let m(f) = -f**3 + 3*f**2 + 2*f - 2. Calculate the smallest common multiple of j and m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*m = 67, -10*c + 2*m - 94 = -6*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 886 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d + 3*d)*(-3 + 0 + 1) - 138*d - 279*d - 61*d.\nAnswer: -474*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-44)\/8 - -6) - -197596. What is u rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/28)\/k)\/(k\/((k*(k\/(k\/(k\/k**(6\/5))))\/k)\/k)) assuming k is positive.\nAnswer: k**(-443\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:53 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:13 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from knnzvninvknniinnkv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 2\/3, -1\/5, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 17, h: 3}. Give prob of picking 4 i.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 5*i**2 + 19*i - 108. What is g(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -52*y**2 + 1\/12*y**4 + 0*y + 0 + 1\/30*y**6 - 7\/6*y**3 + 0*y**5. What is the first derivative of n(x) wrt x?\nAnswer: 12*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -30 + 90 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 54*y + 314. What is a(-47)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/35*(-20)\/20?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 172?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aua when three letters picked without replacement from {p: 9, u: 8, a: 2}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 20*v**2 - 3*v + 81. Calculate c(20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9014.947 years to months.\nAnswer: 108179.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 3 - (-41 + -11 + 20)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*o = 4*b + 19596, 0 = -4*o - 16. Let g = -2483 + b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 559*i + 2122. Does 49 divide z(49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - 2*g - 4. Let k be l(-3). Solve 4*h + s + 5 + 9 = 0, 0 = 4*h - 2*s + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 10 = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19) + sqrt(19)*2 - sqrt(19))**2 - (sqrt(95)\/sqrt(5) + -3))*-4 + -3*((sqrt(304) - -3*(1*sqrt(304) + sqrt(304))**2) + 1).\nAnswer: -11267 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h - 7. Let l be k(-1). Which is greater: 171 or l?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdkv when four letters picked without replacement from kccdcfvdvvwkdcd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 0.03, 0.2, -2\/3, 1\/88?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1316 - -2556. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/36 and 157\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d - 2 + 2 + 641*d.\nAnswer: 677*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2064922 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1896 divide 31161124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 6:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6\/5, 0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 + 5*z - 12. Let s be t(-7). Let r(h) = -43*h + s + 2 + 40*h. What is the units digit of r(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713 = -c + 4*u, 12*u - 2064 = -3*c + 9*u. What is the least common multiple of c and 210?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129.0000268 + 129. What is o rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/4))**(-40)\/(x**(-2\/3))**(-27) assuming x is positive.\nAnswer: x**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 301 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289089078.\nAnswer: 2, 3, 709, 67957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**6\/15 + r**5\/5 - 3*r**4\/2 - 2323*r**3\/3 - 1035*r - 2. Find the second derivative of f(k) wrt k.\nAnswer: -24*k**2 + 24*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 10 = 5*r. Let x = 2 + r. Let v(h) = 0*h + 4 + x*h + h. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/6 (c) 1\/3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 + 7*w**2 + 5*w**3 + 2 - w**2 - 3*w**3 as j + m*w**3 + u*w**2 + c*w and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218638*c*s**3*z**2 + c*s**2*z**2 - 2*c*s**2 + 92*s**2*z**2 + 200*z**2 wrt s.\nAnswer: -1311828*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 2*x**2 - x + 2. Determine q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jjwcx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 26*o - 104. What is the nearest to o in 1, 0.1, 3, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from ebsfwseffswffbeffsfe?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + w - w + 20*w**3 + 18*w**3 + 16538*w**2.\nAnswer: 38*w**3 + 16538*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 2*t - 1. Let x = -6 + 4. Let o be (0 - -3)*x\/(-3). Let a be 0 - o*2\/4. Determine n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 13. Let z(g) = 2*g**3 + 1. Let h be z(1). Let v be (-9)\/h*(-1)\/(-4). Which is the second biggest value? (a) l (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9180 divided by 6\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1988053\/3 - 662685. Let v(u) = u**2 + 4*u - 4. Let l be v(-4). Which is the nearest to x? (a) l (b) -1\/2 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59851*d - 655720 wrt d.\nAnswer: -59851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4876*l - 4877*l = -209. Suppose 3*j - 55 = 2*d, 93 = 3*j + 2*j - 2*d. Calculate the highest common factor of l and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-183)\/6 - 2431\/(-102))\/((-2)\/(-30)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 24*m + 7 + 551329*m**2 - 551330*m**2 - 22. Suppose -4*w = -85 + 5. Calculate the remainder when t(22) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.3. Let u = -8 + -36. Let o = -40 - u. What is the nearest to -1\/2 in a, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 148193435, 296386869, 444580303?\n\"Answer: 148193434*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*a - 3*m, 5 = -2*a - m + 19. Suppose -32 - a = 4*q. List the prime factors of q\/15*27\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53580)\/(-18753)*7\/(-26)*1.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 2. Suppose a + 6 = 4. Let f(p) be the second derivative of 7*p**3\/6 - 2*p**2 - p. Calculate a*f(w) - 5*b(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 58.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 669 and 7136.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 1. Let z = 13 + w. Let k = 8 - 13. Which is the second biggest value? (a) k (b) -2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031125.\nAnswer: 5, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5888 and 6624.\nAnswer: 52992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 72 = -102. Let n = d + -58. Let p be (-3)\/9 - ((-9002)\/6 - n). Round p to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*s**3 - 37*s**3 - 919*s**2 + 88*s**3 + 79*s**3.\nAnswer: 264*s**3 - 919*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/7*((-28)\/16)\/(9\/(-18)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 - 66 = 38*a - 34*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 + 329.7. Let q = -0.7 - -0.2. Put q, l, -0.2, -0.1 in decreasing order.\nAnswer: -0.1, -0.2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - 266\/(-63). Find the second derivative of -w*v - 9*v**2 - v + 6*v wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-12)\/(-1)))\/((-6)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30333894 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/7 + 19118*b\/7 - 38228\/7 = 0.\nAnswer: 2, 9557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 = -3*w + 28*w + 14*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31310808 divided by 202\nAnswer: 155004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/28)\/(603\/1407)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8563 - 8563.4. Suppose 4*o + 3*u - 13 = 12, 5*o + 3*u = 32. Let z = -10 + o. Which is the nearest to 1? (a) z (b) i (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172 - 102 + 7*i - 19*i**2 - 69 to n*i + a*i**2 + q and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/2, -2, -0.52?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 33*z - 80. Determine y(-35).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324490137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 46*b - 3. Let v(t) = 3*t + 2. What is l(g) + 2*v(g)?\nAnswer: 52*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 0.1. Let s = o + -1.99. Which is the closest to 2\/3? (a) 4 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z + 59 = 259. Solve -s + z = -11*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + 1) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.056, 20, 0.03, -8, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -52. Suppose -p = -2 - 3. Suppose 0 = -z + p*z + 4. Sort -6, z, s.\nAnswer: -6, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:57 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -9*i. Let d be ((-3)\/(-2))\/((-3)\/(-8)). Suppose i*p = d*p - 132. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u. Let m(d) be the second derivative of d**5\/20 + 11*d**3\/6 - 2*d. Let b(o) = -5*m(o) - 8*y(o). Find the second derivative of b(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332252421 + -115?\nAnswer: -332252540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 2, 1, 20\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**5 - n**5 + n**5)*(-4 + 3 + 8) + 4 + n**5 - 4 + (2*n**2 - 3*n**2 - n**2)*(-2*n**2 + 2*n**2 + 3*n**3).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.11 (b) -2\/7 (c) -17387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 54, -326, -1066, -2286, -4106, -6646, -10026?\nAnswer: -14366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**4\/60 - l**3\/6 + 3*l**2\/5 - 124*l. Suppose k(h) = 0. Calculate h.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rofsfzorfzrroo. What is prob of picking 1 z and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3327 + -439. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.07. Let i = 0.37 - v. Let f = 2815 + -2811. Which is the closest to 2? (a) i (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 12*p - 3*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.40617 centimeters in micrometers?\nAnswer: 694061.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 + 10.1. Let w = 7 - s. Which is the nearest to w? (a) 3 (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + k = -12, 12 = -0*x - 4*x - 5*k. Suppose 0 = -x*t + 4*t - 46. Suppose 0 = n - 89 + t. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 124. Suppose 6 = -t - 4*w, -4*w - w = -5*t + 70. What is the remainder when x is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1113372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051 divided by -4.\nAnswer: -1051\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.68 - 2.06. Let u = -0.52 - g. Which is smaller: -5 or u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {s: 5, x: 11}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((136332\/(-35))\/9)\/(2\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 50, 85, 10.\nAnswer: -8, 10, 50, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/(m\/(m*m**1))*m)))**(1\/3)*m**(6\/7)*m*m**9 assuming m is positive.\nAnswer: m**(242\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 263302, 526605, 789908?\n\"Answer: 263303*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8771*c + 179906 = 160561 - 375350 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + m**4 + 0*m**4 + m - 5*m**2 + 0*m as n*m**2 + g*m**3 + r*m**4 + t*m + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4694*a = -4754*a - 420 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = -3*q, q - 4*a = 0. Differentiate q + 2 - 8 + 0 + 7*l**3 wrt l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + g = -43, 4*g + 0 - 20 = 0. What is the remainder when l + -13 + (-2 + 62 - 0) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - o)*(6 - 4 + 2 - 1 - 2 + 4 + 0 - 1 + 3 + (-1 + 1 + 2)*(-2 + 1 + 0) - 1 + 2 + 2).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 1) + -259 + 239.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -256368\nAnswer: 256401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 62216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266756 is divided by 146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*j - 80*j = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 621, 986, 1595, 2448, 3545, 4886, 6471?\n\"Answer: 122*u**2 - u + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1157 - -2.\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1062*c**3 + 201*c**2.\nAnswer: 6372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2523 = 7*x - 4*x - 3*j, 0 = 3*x + 4*j + 2488. Let o = 7605 + x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1261*w + 2525. Calculate r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 + 3*q - 2. Let t be f(8). Suppose t = 2*w - 156. Suppose n + 4*n = w. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a40 + -39?\nAnswer: -2a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 10*u**2 - 2 - 2*u**2)*(3*u + 3 - 12*u + 0).\nAnswer: 54*u**3 - 18*u**2 + 18*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7800 take away -0.2?\nAnswer: -7799.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 2*g**3 - 2*g + 447 - 449 - 4*g**3 to t + r*g**2 + s*g + z*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 91*t**2 + 130*t - 3585. Give b(90).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 11.4. What is the second biggest value in t, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5873 + 3*t**2 - 11747 + 5874.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1806, -2124, -2442?\nAnswer: -2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = 11. Suppose -t + u + 0 = 0. Let l be 15\/5 - 8\/t. Which is the second biggest value? (a) -4 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 789, 0.18, 3, -1\/55?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -3 (c) 0.6 (d) -2\/9 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 (base 13) in base 14?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 311599, 623203, 934807, 1246411, 1558015, 1869619?\n\"Answer: 311604*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556*j = -561*j. What is the nearest to j in -2\/15, 8, 1\/5, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 2, g: 1, i: 1}. What is prob of sequence ine?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60.2 and 0.3.\nAnswer: -18.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 8d6553?\nAnswer: 8d654c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-12))\/((-500)\/(-120))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388728, 388560, 388286, 387912, 387444, 386888, 386250?\nAnswer: 385536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-18)\/2 - (58 - 1). Let f = 52 + p. Let o be f\/(-6) + -5 + 4. Which is the biggest value? (a) 5 (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 - h**2 - 3*h - 9. Let i = 1 + -4. What is a(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -29*o**6\/6 + o**3 - 15*o**2\/2 + 3*o - 158. What is the second derivative of d(p) wrt p?\nAnswer: -580*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 15, 54, 129, 252, 435, 690, 1029?\n\"Answer: 2*v**3 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 141. Let n be x(0). List the prime factors of 9\/12 - n\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5561 + 1643324?\nAnswer: 1634433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y + 111*y = -252 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 338155340.\nAnswer: -676310680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/5 + 5031026*t - 25155128\/5 = 0.\nAnswer: 1, 12577564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2924456 is divided by 693?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 28\/(-16))*(-8 - -6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 - 505*y + 2400 = 0?\nAnswer: 5, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 11. Let b = -4343 + 4350. Sort b, p, 4, 3 in ascending order.\nAnswer: p, 3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 9*p + 9. Let w be x(-6). Let u be w\/33 + 2\/(-11). Suppose 0 = -2*k + u*v + 98, 2*k - 5*v = -2*v + 90. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 111 = 999. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2. Suppose -24 - 13 = -5*s + 4*z, 3*s - 21 = 2*z. Let p(a) = 2*a**2 + 17*a - s*a + a**2 - 4*a. Calculate p(i(w)).\nAnswer: 12*w**4 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47908 and 23151541.\nAnswer: 92606164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 4*c**5\/5 - 23*c**3\/6 - 29*c. Find the second derivative of o(z) wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - 1412?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4679411mg to nanograms.\nAnswer: 467941.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -9*g**9\/28 + g**7\/210 - 1289*g**5\/20 - 114*g**2 + 4*g. Find the third derivative of l(z) wrt z.\nAnswer: -19440*z**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81863?\nAnswer: 71, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 199577*a**2. Let b(m) = -13*m**2. Calculate u(b(k)).\nAnswer: 33728513*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.569717 kilograms?\nAnswer: 2569717000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*k - 78*k - 289 - 264 + 152*k in the form f + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*i = 0, 0 = 5*n + 6*i - i + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 1537 = 2*h - 1543, -3*r = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 3*s**3 + 3*s**3 + (-s + 2 - 2)*(-3*s**2 + 5*s**2 + 0*s**2) - 4*s**3 + 6*s**3 - 34 + 33.\nAnswer: -s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/2 + -27. Suppose i + 0 - 1 = 4*d, -4*d + 3 = 3*i. Suppose 9 = 5*b + 24. What is the closest to 2 in d, l, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1816.603353 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*r**2 - 254*r + 254*r + 0*r**2 + 2*r**2 - r**2 + (-3*r + 3*r - 2*r)*(-11*r + 9*r + 26*r) as t + h*r**2 + q*r and give h.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -8141 - 589. Is g a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -12. Suppose 51*u + 21 = 14*u + 132. Is w equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 9*c**2 + 0 + 1\/10*c**5 + 0*c + 0*c**4 + c**3. What is the derivative of t(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkzh when four letters picked without replacement from ozkozzhhhzh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3. Let b(u) = -3. Let q(s) = -s + 2. Let w(v) = -6*b(v) - 5*q(v). Let o(z) = 0*z + z + 5*z + 9. Let c(f) = -4*o(f) + 5*w(f). Give -3*c(t) - 4*x(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 1, y: 1, s: 2, u: 2}. What is prob of sequence uw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45175 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: Solve -3*b = -z + 6, -5*b + 6 = -0*b + z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -622*m**3 + 11812*m**2 - 11082*m - 108 = 0.\nAnswer: -3\/311, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774465399?\nAnswer: 7, 983, 257879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 29. Let x be r(29). Solve 3*t = 4*s - 3, x*t + 18 = 5*s + t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 divided by -411?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/4*((-154)\/21)\/(-11). Let g(c) = c**3 - 3*c**2 - c + 3. Let y be g(f). Suppose -2*k + 4*n + 0*n + 1894 = y, k + n = 956. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.051 (b) 0.4 (c) 1 (d) -17998 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:28 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20947358 is divided by 9440.\nAnswer: 9438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/2906 or -460?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*((-2)\/(-1) + -4). Suppose v*n - 7*n = -k + 51, 5*k = -3*n + 115. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 248 - 66. What is the greatest common factor of 1890 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 111*a - 3963. Calculate i(-33).\nAnswer: -1389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 4, o: 2, r: 1}. Give prob of picking 1 z and 1 d.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*o. Suppose 0*w - o*w = -2*l, 0 = l + 5*w - 6. Is l smaller than 2\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1 + 4*t + t + 38*t**2 + 0*t - 8*t. Let o be y(1). Sort o, 2, 3.\nAnswer: 2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3293506 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(180)*-6 - 1*sqrt(180)*5)*-1)\/(sqrt(8)\/(sqrt(2)*3) - (sqrt(196) + (sqrt(196) - -1*sqrt(196)))))**2.\nAnswer: 117045\/3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*p - 99, 3*s = 2*s - 4. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*o**3 + 3*m**3 - 19*m**2 + 5*m*o**3 - 14*m*o**2 + 754*o**3 wrt o.\nAnswer: 12*m**3 + 30*m + 4524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3322 (base 4) to base 2\nAnswer: -11111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 140*g + 2 - 21 + 7. Let h(r) = -r + 2. Let u(a) = -6*h(a) - p(a). Let d(c) = 2*c. Calculate u(d(l)).\nAnswer: -268*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 172 = -2*a. Suppose 0 = 5*c - 4*t + 252, -t - 105 = 2*c - 4*t. Let b = c + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7882 is divided by 683?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1137444267+-22602\nAnswer: 1137421665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - y)*(213 - 76 + 573).\nAnswer: 710*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*x + 22 = 0, f - 29*x + 26*x - 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + 0.12. Let v(p) = -3*p - 6*p**2 + 1 - 5*p**2 + 2*p**2 + 4*p**2 - p**3. Let t be v(-4). Which is the smallest value? (a) t (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 - 121. Suppose -3*s - 2 - 7 = q, -j + 231 = 3*s. What is the first derivative of 16*y**4 + 249 - j + 16*y**4 wrt y?\nAnswer: 128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43300 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzvmvzzvzvzddld?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (-5 - (-8 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19322, -20436, -21550, -22664, -23778, -24892?\n\"Answer: -1114*a - 18208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 16*i - 18*i - 2*i + 9*i + 0 + 12. Let v(w) = -2*w - 6. Calculate 6*u(l) + 14*v(l).\nAnswer: 2*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - 16) + (1 - -102). Suppose 3*w = -4*u + 108, 4*w - a = -4*u + 3*w. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 55*p**2 + 1264*p - 40. Give q(-23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 12*v**5 - 11 + (4*v**2 - 2*v**2 - 3*v**2)*(3 - 2*v**3 - 3).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226958 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36*90\/(-420).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 + 63 - 41 = 40*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*z**2 + 254*z**2 - 117*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -14*d + 116. Let j(x) = x**3 - 6*x**2 + 2*x - 8. Let m be j(6). Suppose -m*y + d*y = 4. Solve -7*s + 10 = -2*s, -y = 3*o - 5*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4949 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27034 + -135938\/5. Let n = h - -153. Is -1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 55. Suppose -2*v - 195 = d - 196, -4*v - 10*d - 38 = 0. Solve i = v*f - m, i = -i - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4606071 by -4.\nAnswer: 4606071\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 19*a - 848*a**2 - 871*a**2 + 23*a. Let x(t) = 5*t. What is x(c(i))?\nAnswer: -8595*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(392)\/sqrt(2)) + 4.\nAnswer: sqrt(5)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + 13e5?\nAnswer: 13ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6003189 + -1.78?\nAnswer: -6003190.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**2 + 124*i + 1. Let h(t) = t**2 + 44*t. Give 2*h(z) + u(z).\nAnswer: -7*z**2 + 212*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6086 by -71.\nAnswer: -6086\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - y - 1. Let g(j) = -78*j**3 + 2*j**2 - 2*j - 2. What is g(n) - 2*k(n)?\nAnswer: -74*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -11\/2, 20\/7039, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 44. Let v = -4 + r. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 30713*k**2. Let g(s) = -s**2. What is g(f(m))?\nAnswer: -943288369*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956253 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591689197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-29)*(-4)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2\/4*4. Suppose 0 = 2*p - 2, -s*c - 4*p - 18601 = -605. Round c to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 + (-149)\/4. Let w = -21 - l. Calculate the highest common divisor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s - 85*s + 33*s + 83*s + 40*s.\nAnswer: 101*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 2 + 9*s**2 - 5*s**2.\nAnswer: 10*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2133 is divided by 2049.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**3 - f**2 - 3*f + 3. Give b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16631 - -34765.05738.\nAnswer: 18134.05738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153) + 1 + (sqrt(102)\/sqrt(6) - sqrt(17)) + 3)**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 583791671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 21*q - 18*q - 2*q + 45*q + 4.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-5)*(-420)\/56. Solve -z + n*z = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 38 = -5*t, 13*u = -4*t + 17*u + 40. Suppose h + 7 = -2*j, -4*h + j - 7 = -t. Which is greater: h or -8\/33?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*c + 16, 5 = 3*r + c + 1. Suppose w + 5*f - 13 = r, 2*w = 3*f + 15 + 11. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 8*p**2 - 12*p + 2. Let m be f(2). Suppose -1\/8 + 1\/8*c**3 + 3\/8*c - 3\/8*c**m = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7819 or 60\/11?\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1709\/9 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56401.05 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3394 + 148 = -2*l, 4*l - 6494 = -s. Find the third derivative of 1658*y**3 + y - y - l*y**3 + 10*y**2 wrt y.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c6b9 (base 15) in base 11?\nAnswer: -5a1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 4, -0.3, 0.2, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 20 = 4*q, 5*q + 25 = 5*o. Suppose -o*u = -6*u - 228. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4362 and 2797.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-31)*a*a)*a\/(a*a*a**(1\/5)\/a)*a assuming a is positive.\nAnswer: a**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 2*x - 8*x + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1, -4, 12, 3, 4, 14 in decreasing order.\nAnswer: 46, 14, 12, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6533231*x**2 + 3*x - 300821?\nAnswer: 13066462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 78, 171, 284, 423, 594?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 + 86*d**4 - 1328*d**3 + 8664*d**2 - 21312*d + 17280 = 0.\nAnswer: 2, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -6*c + 2*n - 30, 0 = c - 5*n - 13. Let o be (-9)\/(-2) + 2\/(-4). Let s = o + c. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2774 - -2773.999999508. Round k to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(1\/(-6)). Let g be 4*(y + (-10)\/4). Put -3, g, -5 in descending order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-13)\/(-14))\/(520\/40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -3 + -2 - -3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igigii. Give prob of sequence igg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18231 - 18230.66. What is the nearest to 1 in -1\/2, -4, w, 0.07?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 53. Let o = 62 + l. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2689212147 to the nearest integer?\nAnswer: 51858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 48 = -72. Calculate the least common multiple of l and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 60231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 253.5 (c) 1 (d) -1055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -93*q + 7. Let r be f(-5). Suppose -4*n + r = -316. Suppose 0 = 4*u - n - 63. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/((-18)\/(-1640))*234\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (17 + -31 + (-2 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.54773 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34*1\/(-4))\/((-1)\/4). Let q = 33 + s. Sort 6, q, 0.5 in descending order.\nAnswer: 6, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153 + -1257?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/17 (b) 1\/3 (c) 398\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/6 + 23*a**2 + 2. Let u(l) = -5*l + 6. Let q(s) = -14*s + 17. Let y(f) = 6*q(f) - 17*u(f). Determine j(y(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdq when three letters picked without replacement from {d: 2, x: 1, q: 1, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2*6 + 1 - (-5 + 2*-2*sqrt(5)).\nAnswer: -8*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - -1) + (-252)\/24)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24928 and 15599?\nAnswer: 20465888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.26 - -1.74. What is the nearest to 0.3 in 5, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(6*u - 2*u - 2*u) + (6*u - 3*u + 3*u)*(-2 + 2 - 2) in the form i*u + p and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*p - 16, -5*b - p = 2*p + 22. Is (-464)\/(-10) - 3\/b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 5 - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.99212um to nanometers.\nAnswer: 7992.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y - 319. Let p be v(27). Solve 6*u + 12 = p*o + 4*u, -5*o = u - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1253799 and 17553186.\nAnswer: 17553186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/3402 and -73\/2646.\nAnswer: 23814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 266.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -2, 225, 29 in decreasing order.\nAnswer: 225, 29, 17, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -52 - (39 - -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1902*1\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 6:11 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 25*w**2 + 16*w**2 + 12481*w - 12481*w + 27*w**2.\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 1, -1 - 21 = 2*h - 2*y. Let m be 20\/6*h\/(-8). Solve -3*g = -15, -f + m*g - 5 = 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*u**2*v**3 - u**2*v**2 + 6*u*v**4 - v**4 + 3*v**3 + 476*v**2 wrt v?\nAnswer: 102*u**2 + 144*u*v - 24*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -260 - -88. Let o = n + 171.99873. Round o to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 70 + 65. Let i = j - -245\/9. Let l = 0.4 - 0. Which is the fourth biggest value? (a) l (b) 4 (c) i (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8205279.\nAnswer: 3, 2735093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 323724282 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 - -1279\/5. Let d = 21 - 17. Factor -2\/5*x**d - 2*x**2 + 0 + h*x + 8\/5*x**3.\nAnswer: -2*x*(x - 2)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 2}. What is prob of picking 2 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 27 = -78. Suppose 0*a + a + 5*f - 2 = 0, 5*a - 100 = t*f. What is the greatest common factor of a and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3830384440687 + -1.\nAnswer: 3830384440686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {x: 1, r: 1, t: 6, h: 6, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8606328 is divided by 503.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p - 156. What is s(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173337 is divided by 131.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0\/(-2))\/((-10)\/50). Suppose -3*t - 4 = -f*t. Solve t*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at least 76545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -22421.79, 0.2, -0.5 in decreasing order.\nAnswer: 0.2, -0.1, -0.5, -5, -22421.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 6 = u + 4, -5*u - 20 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2\/135, 2, 1 in descending order.\nAnswer: 2, 1, 2\/7, 2\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 107811*b**4 + 1896307281*b**3 + 344780766*b**2 + 20895756*b + 422136.\nAnswer: 3*(b + 17589)*(33*b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let t = -44 + l. Let o = t - -42.99999883. What is o rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/94 + (-30084)\/97290.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -69.7577002 and 295636?\nAnswer: 295705.7577002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let a(g) = -8*g + 4. Let i(w) = -a(w) - 3*o(w). Suppose 0 = 2*n + 5*p + 5 - 2, 0 = -5*p - 15. What is the remainder when i(3) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (-5 - -3)) + 0 - (59 + -81 + 6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 4*t, -2*t + 6 = -s. Let n be s - 0 - 10416\/(-140). Is 73 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379.53 + 378. Let f = w - 0.37. Let l = 8 - 6. Which is the closest to -1\/3? (a) -5\/3 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + 21 + (0 - 8) - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let l(g) be the third derivative of -g**4\/12 - 2*g**2. Calculate k(l(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 73723.62ns?\nAnswer: 0.000001228727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-2)*80\/(-30). Which is the third smallest value? (a) 5 (b) -0.3 (c) -1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 0*f**2 + 30*f**3 - 2*f**2 - 11*f in the form t*f**3 + g + y*f + i*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15416 is divided by 3848.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 3*n. Let t(v) = 6*v**2 + 5*v. Let m(x) = 5*b(x) - 3*t(x). Let c(a) be the third derivative of -a**5\/60 + 2*a**2. Calculate m(c(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37778061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2352 by -6.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.3 + -70.9. Let u = n + 43.6. Sort 7, u, 1.\nAnswer: 1, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 959 + (6 - -1 - (-25 - -25)). Calculate the greatest common divisor of f and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) + (9 - (-882)\/(-90)). Let a = -5549 + 2663521\/480. Is a bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/174 and 19\/8862.\nAnswer: 256998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.891 + -98.858. What is d rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 47. Which is smaller: -33 or p?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.146 * 0.2.\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 7*y + 4. Let o be s(-6). Let h(n) = 20*n - 2. Let c be h(1). Is c - (o + 1 + 4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23550 divided by 1570.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -33. Solve -h + 6*h - 25 = j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*m - 700. Suppose 15*h - m = 2014. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10192236.\nAnswer: 2, 3, 849353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1267642*v**4 - 223835*v**2 + 3*v?\nAnswer: -30423408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + 20*p**2 + p - 6. What is q(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448430, -896857, -1345284, -1793711, -2242138, -2690565?\nAnswer: -3138992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 844 by 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 150*q + 2 + 0*q**2 + 143*q + 7*q**4 to the form l + v*q**2 + g*q**4 + k*q + z*q**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, -1\/12, 1\/2, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95811 and 157634?\nAnswer: 51546318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160.7 + 1744981.\nAnswer: 1744820.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z - 13*z + z)*(1 - 3 + 0)*(12*z**3 + 6*z**3 - 5*z**3).\nAnswer: 702*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 5*j**3 - 9*j**2\/2 + 40*j. Is d(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2050*y - 37. Let o be v(1). Let b = o + -1220. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2656 (base 7) to base 13\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcffdgdcfdocodocgrg. Give prob of picking 1 f, 1 r, and 1 o.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -122405513*l - 1. Let q(n) = -n. What is g(q(t))?\nAnswer: 122405513*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - u + 2*u = -819, -5*u = 5*i - 4115. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 111*o + 4316 = -18*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 337\/3*(-6)\/8. Let z = v - -85. Let w = -147\/2 + 72. Put z, w, 2\/19 in increasing order.\nAnswer: w, 2\/19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**3\/3 - 5*i**2\/2 + 4*i - 41. Calculate n(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 34 - 5 + (-1 + 2 - 2)*(4 - 3 - 2))*(0*m**2 - 3*m**2 + m**2).\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4354 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42693 = 5*w + d + 1223, 2*d - 33170 = -4*w. List the prime factors of w.\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q**5 + q - q + (5*q - 3*q - 4*q)*(6*q**4 - q**4 - 3*q**4).\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*i = 925, -3*p = 314*i - 311*i - 2835. What is the greatest common divisor of 40 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 3*a**2 + 5*a - 5. Determine f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1808153?\nAnswer: 37, 48869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 2*h - 2. Let m be l(-3). Let i = -59 - m. Solve -2*t + 5*t + 6 = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 13 - 13 - 5*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3586 (base 9) to base 13\nAnswer: 12a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*n = 4*k - 2, 1 = k + 3*n. Let y(g) = 0*g**3 + 2*g**3 - g - k + 3*g. Does 10 divide y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 69 - 5*g - 2*g - 83. What is k(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 8*s - 5. Let b be m(-6). Suppose -b*p + 3*p = -628. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12663 (b) 0.5 (c) -17 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248 divided by 11771.\nAnswer: 1248\/11771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-812*q + 0 + 812*q + 0 - 1818*q**2)*(3*q**3 - 5*q**2 + 5*q**2).\nAnswer: -5454*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4680)\/(-84))\/((-177)\/(-84) - 2) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3060*q**3 - 26 + 6 - 27 + 47.\nAnswer: -3060*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 1745\nAnswer: 97\/1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/60 + 7*f**4\/24 + 7*f**3\/6 - f**2. Let x(d) = d**2 - 6*d - 6. Let u = 6 - 10. Let r = u - -9. What is r*i(c) + 6*x(c)?\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/5 - 6314*h**3\/5 + 301272*h**2\/5 + 307584*h\/5 = 0.\nAnswer: -3204, -1, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9498483047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(3) + -3)**2 - (sqrt(128) + -1)**2.\nAnswer: -88 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492162 to the power of 1\/2, to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*r**3 - 7*r**2 + 9*r**2 - 3*r**3)*(-3 + 0 + 2).\nAnswer: -10*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 290367.1 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 135 (b) -1\/2 (c) -0.3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 20. Suppose 0 = k - 4, 12 = -0*o - 2*o + b*k. Let f(u) = -7*u + u**2 + 2*u**o - 2*u**2. Determine f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**3 - 5*l**2. Let q(r) = -2*r**3 - 2*r**2. Let z(g) = -17*q(g) + 6*w(g). Factor z(m).\nAnswer: -2*m**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114752, -229617, -344482, -459347, -574212?\nAnswer: -689077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 70 = -2*b, 2*f - 4*b = -3*b + 45. Calculate the common denominator of 18\/45 + (-778)\/120 and (-102)\/f*3\/(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) -0.9 (c) 1\/35 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 26810556?\nAnswer: 241295004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let u be d(3). Suppose 3*j = -0*j + u. Determine k so that -3*k**5 + 9*k**3 + 2 + 6*k**j - 2 - 9*k + 3*k**3 - 6 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -1, 1, -6, 4, -34.\nAnswer: -53, -34, -6, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 86475 (base 12) to base 2\nAnswer: 101011001100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4817, -4781, -4735, -4673, -4589, -4477, -4331?\n\"Answer: g**3 - g**2 + 32*g - 4849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + -5) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -67*w - 337. Calculate t(-14).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b + 15. Let o(m) = -m**3 + 14*m**2 + 3*m - 46. Let d be o(14). Give w(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/1440 + c**5\/240 + c**4\/96 - c**3\/2 - 2*c**2. Let g(u) be the first derivative of l(u). Let g(x) = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/103 and 40\/14251?\nAnswer: 1467853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-356)\/(-3). Suppose -4*q = 3*q - 14. Suppose s = 3*b + q. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 16 = 6*j - 4*n, -2*j + 3*n = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 1326010.\nAnswer: -14586110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14463 = -21*u + 12165. Is 41 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/17 + 18988*h\/17 - 628782\/17.\nAnswer: 2*(h - 33)*(h + 9527)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 193180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 6*a**2 + 8. Let x be d(6). Let v be 91\/(-28) - (-2)\/x. Let z(k) = k**2 + 3*k + 3. Determine z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - 126\/(-27). Let a be (-4)\/(-10) + (-561)\/(-85). Suppose -20*k = -19*k - a. Solve 5*q - y = -5*g, -2*q + k*q + g = 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -654, -860, -1066, -1272?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -483717064.7 to the nearest 100000.\nAnswer: -483700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-2)*(-176)\/1848*84\/(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 - 409 = 12*o. Solve -n + o*n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 9:03 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*s + 45, -4*s + j + 36 = -0*j. Calculate the remainder when ((-3)\/2)\/(s\/(-2640)*4) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6026 (base 7) to base 2\nAnswer: -100000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2, -3*x + x = h + 18. What is the tens digit of 4\/h - (-211)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -2 (b) 2\/21 (c) 0.6 (d) -0.08 (e) -1\/962 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*3\/(-1200)*((-32)\/(-80))\/(56\/(-80))?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o. Let j(i) = 925*i. Let s(v) = -42*v. Let r(l) = -2*j(l) - 45*s(l). Calculate r(f(u)).\nAnswer: 80*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - 3*g + 7 + 5*g - g + g in the form f + a*g and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8486*v + 8470*v + 128 = 0. Solve v*m = 187 - 219 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346066 + 11?\nAnswer: 346110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75271.09555 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -14602, -1, 0 in descending order.\nAnswer: 1, 0, -1, -5, -14602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*p*q**2 - 3503*p*q + 24*p - 21*q**2 + 62684 with respect to p.\nAnswer: 13*q**2 - 3503*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g**(-2\/7)*g))\/g*g)\/g)**(5\/18))**33)**9 assuming g is positive.\nAnswer: g**(-825\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j - 4. Let r(n) be the second derivative of -5*n**3\/6 - n**2 + 46*n + 1. Calculate 13*r(t) - 6*u(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073980402 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-3 + 3) - (-20 - -28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4418484 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 32. Let q(y) = 9*y**2 + 3*y - 2. Calculate the remainder when 47 is divided by q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*i - 205*i - 9100 = 0 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 86 and 171 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2 - 308*s - 632 = 0.\nAnswer: -2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41998 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 o(s) = -2*s**3 - s**2 + 3*s - 2. Let m be o(-2). Suppose 23 = -m*z + 63. Is z at most as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 5*h + 6*h)*(4 - 6 + 3)*(-5*h - h + 5*h) to z*h**2 + p + l*h and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -23. Let p(z) = -r - z + 2*z - 3*z. Let n be p(-7). Solve n*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205 + -189 - (-28398)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - 155. Solve -k + d = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = 4*k. Let v = 185 + -189. Put v, -3, k, 3 in ascending order.\nAnswer: k, v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -479, -1061, -1865, -2885, -4115, -5549?\nAnswer: -7181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476248 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-5))\/x**(5\/4)*(x**(-2\/7))**(3\/4))**(3\/17) assuming x is positive.\nAnswer: x**(465\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9535306 centuries to years.\nAnswer: 95.35306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5 - 1, h + 24 = 2*c. What is the greatest common divisor of 99 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46393375 and 122.5.\nAnswer: -46393252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1848050748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -516645 (base 7) to base 3\nAnswer: -11111211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + 46 + -6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + (44 - 170) + 139?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 459*r. Let i(p) = 2106*p**2. Calculate i(a(f)).\nAnswer: 443694186*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:11 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21881567.\nAnswer: 17, 31, 41521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.33058 and 1622.68.\nAnswer: 1621.34942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 393930 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -147214, -290252, -433292, -576334, -719378, -862424, -1005472?\n\"Answer: -f**2 - 143035*f - 4178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 106, 108, 110, 112, 114?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*((q**(-17)\/q)\/q)\/q*q**(2\/19)*((q*q**(-29))\/q*q)\/(q*q**(-6)\/q) assuming q is positive.\nAnswer: q**(-777\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21641 + 104125 = 17*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -147. Suppose 92*y - a*y = -135. What is the greatest common factor of 153 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(392) + -1)**2 + 4 + 2.\nAnswer: -2*sqrt(17)\/7 + 360\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/2, 1\/35 in ascending order.\nAnswer: -4, 1\/35, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l. Let f(d) = -d**2 + 10336*d. What is r(f(p))?\nAnswer: 9*p**2 - 93024*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -128, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -661 + -99?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -5*k**3\/3 + 7. Let p(u) = 7*u**2 + 2. Let w(b) = 15*b**2 + 5. Let l(q) = -5*p(q) + 2*w(q). What is f(l(v))?\nAnswer: -125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from kkaahakkaohrrhkkrhk.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:17 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*o - 2*s, -8 - 13 = -5*o + 2*s. Solve -2*u = -o*f + 5*f + 8, 0 = -5*f - 3*u - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 190081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5719\/3 + -1931. Calculate the common denominator of v and -65\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 15. Let u(a) = -4*a**3 - 67*a**2 + 17*a. Let t be u(-17). Suppose b - 3*c - 13 = t, 3*c = 3*b + 7*c - 39. Calculate j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 15. Let n be (l\/(-25))\/((-1)\/(-5)). Suppose -15 = n*x, -p + 0*x + 60 = -x. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*k - 2, 5*s - k - 35 = 4*k. Suppose 4*r - 12 = -s*j - 0, r + 2*j - 5 = 0. Let m be 0\/(-2) - (r + 2 + -6). Solve g = 4*g - m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t - 10. Let m be g(2). Let v(b) = -b**2 + 12*b + 10. Calculate v(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 9. What is the third biggest value in r, 4\/7, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b - b. Let a be ((b - 1)\/(-1))\/1. Suppose -2*q = -a*q + 6, 28 = u - 2*q. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/7 - 16*y**3\/7 - 16*y**2\/7 + 64*y\/7.\nAnswer: 4*y*(y - 4)*(y - 2)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from {f: 2, j: 2, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810 - -1639160340?\nAnswer: 1639157530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194a815 (base 11) to base 5.\nAnswer: 1320401003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*s**3 + 2*s**2 + 52*s - 2 wrt s?\nAnswer: -138*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4438056.\nAnswer: 2, 3, 7, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 591.1698mg?\nAnswer: 0.0000005911698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*s - 2*o + 9, 0 = 4*s - o + 3. Let w = s + -1. Let z(k) = k**2 - 4*k + 1. Is z(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 - -310. What is the remainder when j is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (-3 + sqrt(80)*1)**2)*-6 + -4 + sqrt(80) + (sqrt(80)*-2*-1)**2.\nAnswer: -164*sqrt(5) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -263 + 101. Let u = 161.99999761 + b. Round u to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -46*j**3 - 3*j + 3. Let u be d(2). What are the prime factors of u\/(-5) - 1\/5?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -178 - -6?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45893 plus 63?\nAnswer: -45830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -25*l - 295. Let g(k) = 58*k + 319. Let u be g(-6). Does 21 divide b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332610 is divided by 315.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -46*j - 44*j + 185*j - 51*j - 51*j. Let c(o) = -13*o. Let d(r) = 0 + 0 + 4*r. Let k(f) = 2*c(f) + 7*d(f). Determine p(k(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -13.9 (b) 0.3 (c) -0.2 (d) 1\/5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/(-1992) - (14500\/48)\/25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/60 - c**3\/6 - c**2. Let h(r) = -r - 4. Let q be h(-6). Let m(j) = 1. Determine q*m(s) + 2*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.91 - -0.09. Let x = -2147.8 - -2148. Let l be (-1 - (-69)\/63)*-3. Which is the closest to l? (a) i (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-6 + 2 + 5). Suppose 2*z + o*x - 36050 = 21462, -4*x - 143803 = -5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from gnjczzttjtjnzzn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 10. Suppose 3*t - 15 = -3*c, 26 = d*c - 5*t + 1. What is the remainder when 0 - (16\/(-6))\/(8\/48) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -3*a**4\/4 - a**3\/3 + 7*a**2\/2 + 25*a. Let c(x) = 5*x**2 + x - 4. Determine -7*c(p) - 4*m(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/1400)\/((-8)\/((-32)\/(-51))).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.07, -3.9, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1038 and -22.09522.\nAnswer: -1060.09522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 50*w + 1. Let a be x(-2). Is 2\/(-9) - 7546\/a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1014 divided by 3.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26.1 times 0.01143\nAnswer: 0.298323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from gvsvllpvlswgvwgp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-363)\/(-990) + 8\/(-48). What is the nearest to 1\/3 in k, 1\/44, -161?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 2. Let w be d(0). Suppose w*z = 4*i - i - 6, -3*i + 6 = -3*z. Calculate the remainder when 155 is divided by (-3)\/(i*2\/156*-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58674?\nAnswer: 2, 3, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddduddddudddudddd. What is prob of sequence ud?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {o: 2, j: 1, t: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdxddkxudx. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.278 - 0.722. Which is the closest to -1? (a) g (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90052 - -127878. What are the prime factors of l?\nAnswer: 2, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 27. Let u(x) = -2*x - 3*x - 4 + 4*x + 2*x. What is u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94729 is divided by 7893.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/662 and -27\/20.\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from oppptop.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 25*y**3 - 8*y**2 + 13*y + 9. Let m(n) = -6*n**3 + 2*n**2 - 3*n - 2. What is -9*m(q) - 2*u(q)?\nAnswer: 4*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 7*b - 7. Let u be j(8). Let l(i) = -2*i - 4 + 3 - u. Let z be l(-7). Calculate the highest common divisor of z and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 2*l - 2. Let g be s(3). Let o be (-2)\/g*40\/(-8). Suppose 3*j - o = 5. Solve j*q - 3 = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/2 + 4662*y**2 + 84122*y - 411048 = 0.\nAnswer: -22, 4, 9342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -4559\/15 and -303 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -31. Suppose -5*v + 52 = -q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2878*o**3 - 573*o**2 + 238*o**2 + 59*o**2 - 1873*o**2 wrt o.\nAnswer: 17268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-33))\/((-4)\/(-42)). Let l(t) = 3*t**2 - 6*t - 5. Let c(p) = -5*p**2 + 11*p + 9. What is x*l(u) + 4*c(u)?\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00672 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 529143 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0.03. Let s = 9.14 + z. Which is the third biggest value? (a) 2 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -448612, -448610, -448608, -448606?\n\"Answer: 2*p - 448614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 328102 + 6290.\nAnswer: 334392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 12*o**2 - 6. Let g be (-4 + -2)*3*1\/9. Let b be -5 - (g\/(-3) + (-3)\/(-9)). Let l be r(b). Calculate the highest common divisor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37 - 5.6.\nAnswer: -5.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h + 3*h**2 - 3*h**2 + 2*h**2 to the form m*h + a + o*h**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(1216)*-2)*2)**2.\nAnswer: 2048*sqrt(19) + 78080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 - 3) + -2. Suppose -m = -4*w - 7, -3*m = i*w - 1 + 25. Let f(q) = -6*q**2 + 3*q - 3. Let b(l) = -5*l**2 + 2*l - 2. Determine w*f(z) + 4*b(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k - 47. What is d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3631681?\nAnswer: 31, 193, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.165?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1759*f**2*i**3 + 237*f**2*i**2 - 24*f*i**3 + f*i**2 + f + 249*i**2 wrt f?\nAnswer: 3518*i**3 + 474*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 5, 0, 1, -5, 22 in increasing order.\nAnswer: -111, -5, 0, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 - (-14)\/1)*(-3 + 1). Let b = -3.4 - -3. Put -0.1, -7, r, b in increasing order.\nAnswer: -7, b, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*r*z + 199*q**3*r - 1772*q**3*z - 5*q**2*r*z + 18*q*r*z + 11284*r wrt q?\nAnswer: -12*r*z + 1194*r - 10632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5582337.0000062 - -5582343. Let o = -9 - -15. Let h = o - t. Round h to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z + 8. Suppose -11*w - 6 = -10*w. Let o be x(w). Let f(a) = 11*a**2 - o + a - 3*a**3 - 10*a**2 + 7 + 4*a**3. Give f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150\/1099 - 1\/157. What is the smallest value in 136, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*h, 9*h - 1 = 8*h - 2*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1645.08 + 1645. Which is the nearest to -1? (a) -0.5 (b) t (c) 3\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0) + (-4)\/1. Suppose 5*o = 2*o - 2*m + 323, j = -4*o - 2*m + 428. Let c = -61 + o. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + w**5)*(0 - 5 + 3)*(2 - 3 + 5)*(-3 - 2 + 3).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - 372. Let n = 470.00000482 + m. Round n to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 971361 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 10*h - 7. Suppose 0 = 5*t - 11*t - 42. What is the tens digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 + 5*s**4 + 3*s**2 - 8*s**4 - s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -350*s**4*u**3 + 3*s**2*u**3 - 44*u**3 + 75 wrt s.\nAnswer: -1400*s**3*u**3 + 6*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1\/9, 0, -20, -5.9.\nAnswer: -20, -5.9, -4, 0, 1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.083743 * -0.1599\nAnswer: -0.0133905057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128644309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/277236 and 20\/161721?\nAnswer: 1940652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/5*o**2 - 6\/5*o + 26\/5*o**3 - 4\/5 + 12\/5*o**4 = 0. Calculate o.\nAnswer: -1, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -l - 0*g - 6, l + 5*g = -6. Let b(s) = 2*s**2 + 8*s - 15. Let p be b(l). Suppose 235 = p*k - 89. Calculate the least common multiple of k and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 14 = -9*n. Let m(x) = x**2 - 17*x + 5. Is m(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvevtttttvsuttvdvvtt. What is prob of sequence vuv?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfyfsff. Give prob of picking 1 f and 2 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947.4953 months in years?\nAnswer: 162.291275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*v - 35, -v - 4*l + 4 = 2. Solve -4*w - 5*b = -3*b + v, 5*b = -15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/72 and 49\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 156*a. Let r(q) = 3. Let u(z) = -2*i(z) - 6*r(z). What is the hundreds digit of u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524507722 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -0.01547.\nAnswer: -0.38453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:11 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqnqnqnqqq. What is prob of sequence qqnq?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.34427 centuries to years.\nAnswer: 4534.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4303*-5.\nAnswer: -21515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -4*c + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -455 - -460. Suppose c*w + 35 = 2*f, w - 5*f + 18 = -12. Let z(u) = u**2 + 7*u + 6. Calculate z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/(-69) - 627\/(-9). Sort r, 1, -4 in ascending order.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2086*q + 2484*q + 557*q - 1557*q.\nAnswer: 3570*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:50 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1 + -2) - -1. Suppose -p*g + 2 = 5*y - 16, 5 = y - g. What is the units digit of -3*(-2 - y\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376987 is divided by 6078?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjjr when four letters picked without replacement from {j: 2, z: 1, r: 7}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3892, -3896, -3900, -3904, -3908, -3912?\nAnswer: -3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h + 4. Let a be g(0). Suppose -5*s - 2*z - z = -32, 0 = -4*s + 2*z + 8. Solve 0 = -a*m + 2*o + s, -2*m + 6 = o - 0*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 4*o**2 + 9*o - 12. Let g be y(5). Suppose -2*m = 5*a - 10, -m + 6*m + 4*a = g. Differentiate -f**2 - 16 + m*f**2 + 5*f**2 wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 18484*o + 110923. Give c(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.1. Suppose -4*i + 3*m + 20 = m, -6 = 3*m. Let w = i + -7. Which is the second biggest value? (a) w (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 202567512.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*z - 2067*z - 106454 = 114*z + 209*z for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 39193900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8465 divided by 85\nAnswer: -1693\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 2115*l**2\/4 - 70092*l + 52272.\nAnswer: -(l - 264)**2*(4*l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -36.97. Which is the closest to z? (a) 5 (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251229 + -169072. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1722942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1274882796 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.103 - 0.103. What is the fourth biggest value in -5, a, 0.3, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16800 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**2 - 3*f**2 - 4*f**2 - f**2.\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:40 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-2*-40*168\/(-4480).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/6221 - 12447\/31105. Let i = 0.2 + -0.4. Which is the nearest to 23? (a) i (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -12241122323?\nAnswer: -12241122324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by (-603)\/(-24) + (-9)\/72.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, h: 5}. Give prob of picking 1 m and 3 h.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -637336*v**2. Let u(o) = -2*o**2. Calculate j(u(n)).\nAnswer: -2549344*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -154807\nAnswer: -774035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 5*o**2)*(-o**2 + o**2 - 2*o**2) + (-39 + 39 + 7*o)*(-3 - 2*o**3 + 3) + 0*o**4 - 6*o**4 - 3*o**4.\nAnswer: -33*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037367539 rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*s - 30*m + 29*m, -2*s - 4 = -3*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1252*l**2 - 188*l**2 - 1220*l**2 - 1206*l**2 as g*l + i*l**2 + n and give i.\nAnswer: -3866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -29. Let c be 6\/b + 12\/7. Solve c*h - 3*p - 9 = 7*h, -h - p = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-159 - 342 + 71)*(6*j**3 + 6*j**3 - 3*j**3) as s*j + x*j**2 + d*j**3 + n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**3 - 11*i**3 - 4*i**3 + (2 + 5 + 0)*(0*i**3 + 0*i**3 + i**3).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-258)\/903 + -2*152\/14)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18\/15 + (-585)\/(-75) and 1085.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1424220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 730 divided by 224\nAnswer: 365\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**6\/360 - 2*a**3\/3 + 2. Let z(u) be the third derivative of f(u). Let s(o) = -5*o. Determine s(z(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*m*o + 2*m*r**4 - 2*m*r + 7*m + 9*o*r**4 + r wrt r.\nAnswer: 8*m*r**3 - 2*m + 36*o*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/88 + 91\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*60\/(-240).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124548 and 215340.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 1. Let r(u) = -2*u**2 - 24*u + 2. Calculate -r(z) + t(z).\nAnswer: z**2 + 23*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18469, -36879, -55273, -73651, -92013, -110359?\nAnswer: -128689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 6*p**2 + 3*p - 2. Let a(u) = u**3 - 12*u**2 + 32*u - 5. Let k be a(8). Give o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/15 + 2\/(-5). Let u be (((-150)\/18 - -11) + 1 - 4)*3\/(-1). Sort u, k, -3.\nAnswer: -3, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:11 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 + 0*y**2)*(-y**3 + 10*y**3 - 2*y**3) + (-2 + 2 + 2*y**5)*(1 + 3 - 1).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1022 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9968, -79742, -269130, -637940, -1245980, -2153058, -3418982, -5103560?\nAnswer: -7266600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4456 (base 8) to base 7.\nAnswer: 6565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -99092.\nAnswer: 99093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j**3 - 4*j**2 + 2*j + 1. Let g be x(-2). Let d = 302 + g. What are the prime factors of d?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -24 in descending order.\nAnswer: -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -35. Which is smaller: 15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -296 - -301. Let y(v) = 10*v - 47. Let p be y(x). What is the highest common divisor of 96 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 358893 and 279139.\nAnswer: 2512251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 64*l + 3\/28*l**4 + 0*l**2 - 1\/14*l**3 + 1\/70*l**6 + 1 - 9\/140*l**5. Find n such that g(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-35)\/(-2)) - 103\/(-7). Let i(v) = -23 - 5*v**2 - 14*v - 8*v**2 + 17*v**2. Let w be i(7). Calculate the highest common factor of z and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: cc719 (base 14) to base 4\nAnswer: 1320323103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17697 + -17653. What is the third smallest value in -2, -5, x, 2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.8 (b) -3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306380.\nAnswer: 2, 5, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**6\/40 + h**5\/20 - h**4\/2 - 2*h**3 + 6*h**2 - 4. Let d(a) be the second derivative of k(a). Find q such that d(q) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.80218433 * 1.\nAnswer: 15.80218433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*z + 25 = 49, -z = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:37 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-104) - (-320)\/52. Suppose -4*v = -q - 28, -5*v - 4 = -w*v + q. What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((((y\/y**(-1))\/y)\/y)\/y))**(-20\/11)*(((y\/y**5)\/y)\/y)\/y*y**0 assuming y is positive.\nAnswer: y**(-117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21115, 41772, 61527, 79930, 96531, 110880?\nAnswer: 122527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:42 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/h)\/h*h)\/(h**1*h)*(h**(2\/5))**(4\/7)*(h**(2\/7)*h)\/h*h*h*h**(2\/9)*(h\/h**(-1\/3))**(-32) assuming h is positive.\nAnswer: h**(-14783\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1506117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekj when three letters picked without replacement from euuekuuuujukuj?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 15*d. Let s(l) = -l - 4. Let m be s(0). Let o = 66\/7 + -580\/63. What is the second smallest value in o, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*s + 40, 6 = -4*p - 10. Let v(z) = z**2 - 14*z - 11. Suppose 54 = 6*b - 36. Let a be v(b). Solve -y + s*y = -a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 1, i: 1, y: 5, v: 1, s: 3}. Give prob of picking 2 s and 1 v.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(28\/84*-12))\/(-1*12*-1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 4*t - 2. Let v be j(-4). Let s be (v - 0)\/((-2)\/17). Suppose -2*y + s = 3*w - 52, 2*w + 220 = 5*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 22*z + 1673820000 = 15*z. What is z rounded to the nearest 1000000?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0*w**5 + w**2 + 0*w**4 - 1\/3*w**3 + 0*w + 1\/120*w**6 + 0. What is the derivative of c(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:48 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5799)\/30 - 0) + -2. Let q = a - -1134\/5. Find the common denominator of q and 89\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/(sqrt(20)\/(sqrt(10)*-4))*-3.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1627133, 1627148, 1627163?\n\"Answer: 15*h + 1627118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87443940 to the nearest integer?\nAnswer: 9351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2836 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/4 - (-2)\/4. Let b be -18*1*4\/(-12). Let t be 3\/b*(-16)\/2. Sort t, z, -1 in increasing order.\nAnswer: t, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/3 + 3\/(-9). Suppose o*y + 36 = -3. Calculate the smallest common multiple of (y - 1)\/(1 + -3) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 38537, 198, 5.\nAnswer: -4\/3, 5, 198, 38537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26632294 or -26632293?\nAnswer: -26632294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = -5*a + 364. What is the closest to -1 in a, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42 - -9)*(-2)\/(-2). Let o = k - -45. What is the remainder when 45 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 0.02 (c) 26\/69 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, -13, 548, -4.\nAnswer: -13, -4, 4, 30, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/233586 and -1\/28964664.\nAnswer: 28964664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 60, 66, 74, 84, 96, 110?\n\"Answer: z**2 + z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.021 + -3.021. Let v(u) = u**3 + 3*u**2 - 5*u - 6. Let s be v(-4). What is the closest to s in -1\/3, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61836, 247625, 557270, 990771, 1548128?\n\"Answer: 61928*z**2 + 5*z - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -54.02 * -76\nAnswer: 4105.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 99*o - 6328. What is h(64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 + 5 = 4*y, -2*y + 5*s + 25 = 0. Let t = 0.1 - -1.9. Let p = t + -1.9. Put 3, p, y in descending order.\nAnswer: 3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:35 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 2*a - 6*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -539.\nAnswer: -538.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:56 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 4, r: 7, y: 1, k: 2, s: 3}. Give prob of sequence ccsc.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.283849842 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*s**4 - 17*s**2 + 17*s**2 + (0 + 0 - 2)*(-s + s - 2*s**4) - 2*s**4 + 3*s - 3*s + s**2 + s**4 - s**2.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 2*j**2 - 2. Let f(k) = 28*k**3 - 23*k**2 + 25. Let n(b) = 363*b**3 - 300*b**2 + 327. Let w(q) = -27*f(q) + 2*n(q). Give -21*a(x) + 2*w(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**2 + o + 1. Let g be h(-2). Suppose 0 = n + 5*v - 16, 4*n + 4*v = v + g. Let m = 0 + n. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1. Let o(a) = -a**3 - 8*a**2 - a + 6. Let d(w) = n(w) - o(w). What is the tens digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-16)*-8 + -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 3*v. What is the remainder when 52 is divided by g(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 5*n + 30620 = 0, -2*h = -5*n - 20420. Suppose -21*p + h = -19*p. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3035035 (base 6) to base 9.\nAnswer: -240755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 l when four letters picked without replacement from {l: 14, f: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 8) to base 2.\nAnswer: 10010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 19*g = -28*g - 321, -2*g = -5*i + 328. Suppose -206 + 30 = -4*j. What is the least common multiple of j and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x - 8408 - 30020 = 0. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17309919 and 24321?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-60) + 266\/(-70). Let d(l) be the first derivative of -5*l**4\/4 + 2*l**3\/3 - 2*l**2 + 2*l - 1. Let s be d(m). What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**2 + 32*w - 11. Let t(n) = 5*n**2 - 16*n + 6. Let u(p) = -6*c(p) - 11*t(p). What is the second derivative of u(z) wrt z?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/97 (b) -30 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l - 5*g + 5 = 0, -4*l + g + 19 = 0. Suppose 0 = -5*x + p - 30, -2*x + p + 12 = -l*x. Sort 0, x, 4 in decreasing order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/10949?\nAnswer: 3\/10949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from {j: 2, z: 9}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546988072?\nAnswer: 2, 68373509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.346 - -1.654. Which is the fourth biggest value? (a) -1\/4 (b) -6 (c) 3 (d) 0.3 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 3. Suppose -23 + 38 = 5*p. Let t be (-35)\/(-20) + (-3)\/4. Let q be 5\/t*(-3)\/(-3). Let n(z) = -2*z - 2. Calculate p*b(s) + q*n(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017552584 to 4 decimal places.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3318 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*b - 365827 = -346522 for b.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = -2*m + 5*m, -5*j = 3*m - 8. What is the third derivative of z**2 + 0*z**6 - 3*z**6 + 0*z**m - 4*z**2 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600) + (sqrt(2600) - -5*-2*sqrt(2600)))\/(6*3*sqrt(128)).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -574608*z**3 - 78*z + 20.\nAnswer: -3447648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2619 + 2615. Let t = -13 - -8. Let k = -4.5 - t. What is the closest to 7\/2 in a, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*0.022\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 7402641\nAnswer: 1480528.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-702)\/(-42) - 4\/(-14). Solve -2 = -3*n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 375, 763, 1315, 2031?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1524\/(-30) + (-2)\/10. Let s = t + 94. What is the remainder when s is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + l - l)*(-2*l + 2*l - l) + 16*l - 6*l**2 - 16*l to q*l + c*l**2 + o and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 7*k + 4. What is the units digit of g(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 7 = -13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/(-33))*1. Suppose -2*j + j = 5*r - 20, o = 2*r + j. Let z(y) = r - 3*y + 4*y - 2. What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 719989885 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 1, q: 1, z: 1, w: 1, f: 2}. What is prob of sequence wkz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 112 = 19*a. What is the units digit of (-5924)\/6*((-14)\/a - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 0) + (-67 - -42 - 18) + 88?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1)\/((-252)\/56)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3574250 divided by -425.\nAnswer: -8410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 2*k = 2, 0 = 4*k + 8. Let l be 3*3\/(i\/(-4)). Suppose -3*z - 2*x + 7 = 0, -2*z + 9*x - 17 = l*x. Are z and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 3*p**2 - 5*p + 10. Let n be x(-5). Let j(b) = b + 28. Let t be j(n). Let i = -58 + 97. Calculate the highest common divisor of i and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8 and -66\/1885.\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/8)\/(54\/(-16)). Let w(i) = 2*i**2 + 3*i + 2. Let n be w(-2). Suppose 3*o = 5*y + 7, -n*y = o - 8*y - 7. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -23, 6757.\nAnswer: -54, -23, 6757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/84*-7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5388 + 5496. What is the smallest common multiple of f and 44?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4448774 is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 288 - 259.3. Let g = u + -29. What is g rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11333797 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 738 and 804051?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by 98.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 8*g**2 - 5*g + 1. Let m(f) = 8*f**3 - 23*f**2 - 14*f + 4. Let i(k) = -4*m(k) + 11*p(k). Give i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, -5, 5.\nAnswer: -5, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -116, 4, 673.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/(g*g**(-1\/2)))**(-30)\/((g**(-6)*g**(-3))\/(g**(-2\/5)\/(g**(-1)\/g))) assuming g is positive.\nAnswer: g**(1328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19800596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c17416 (base 13) to base 7.\nAnswer: -53151655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081.\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*j + 4*s - 0*s, 5*j - 26 = 3*s. What is the least common multiple of 8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in 0.6, -0.1, -27\/178?\nAnswer: -27\/178","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297 + -212. Let o = 98 - x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (180\/(-210))\/(((-4)\/7)\/(-1))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:29 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6 + 1 + 0 + u**2 + 2*u**2 + 7*u. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.52 + -0.12. Let i = l + -0.4. Let d = 152 + -154. Which is the closest to -1\/2? (a) i (b) 7\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (12 + -19 + (6 - (-7 + -70)))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -412 + 340 + -48 + -3.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -7*w - 39 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 359100 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 14. Let x = 2537 - 2527. Let m(v) = -v - 1. Calculate x*m(b) - 2*r(b).\nAnswer: -2*b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/14*220\/693?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkkrrkkkkkkrrkrkkk. What is prob of sequence rrr?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 10, 8, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870\/(-17*(-1440)\/1632).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1369426 divided by 4.\nAnswer: -684713\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 539.\nAnswer: -54\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000345691 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4 = 3*d. Let w be (-2)\/(-3) + 4\/(-6). Suppose -4*q - 5*k = 20, w*q = -5*q - 5*k - 25. Put d, 0, q in descending order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-57)\/75)\/(32\/(-40))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -442 - 4?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 1, n: 1, f: 1, e: 1, l: 1}. What is prob of sequence en?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265725 is divided by 632857.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10652343 rounded to three decimal places?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 + 121*s - 70. What is the hundreds digit of r(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 45*o = 162. Calculate the highest common factor of o and 1242.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91629335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let u(y) = 2*y. Suppose 2 = -v + 5. Let f(k) = v*o(k) - u(k). Let b(i) = 5*i + 1. Determine b(w) - 4*f(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 783600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 293, 775, 1239, 1679, 2089?\n\"Answer: -v**3 - 3*v**2 + 498*v - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 7*l = -4000. Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5692 = 6*y - 5906. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108777913 divided by 856519.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -11, 0, 23, 58?\n\"Answer: 6*u**2 - 19*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (12*-1)\/2. Suppose -m + 7 = -k, -9 = -4*m + v*k + 14. Calculate the least common multiple of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/300 - q**4\/120 + 17*q**2. Factor w(f).\nAnswer: f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a1 (base 13) in base 2?\nAnswer: 11001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**3 - 4. Suppose 0 = 3*d + 2 - 11. Suppose 3 - 9 = -3*b. Suppose -p + d*p - 2*g = -4, -4*g = -2*p + b. Let h(v) = -v**3 - 1. Give p*h(n) + q(n).\nAnswer: -n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 244.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2498885, 4997760, 7496621, 9995468?\n\"Answer: -7*w**2 + 2498896*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15491 + 15490. Sort 37, -12, u, -1\/7 in descending order.\nAnswer: 37, -1\/7, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**6)**(2\/111))**44 assuming c is positive.\nAnswer: c**(-440\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**5 - 976*z**4 - 3716*z**3 - 2040*z**2 = 0. Calculate z.\nAnswer: -3, -2\/3, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/13, -1, 4, -1\/5 in increasing order.\nAnswer: -1, -1\/5, -2\/13, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 20. Let u = 69 - n. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 354 = 1342. What are the prime factors of k?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 3, v: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224273459 to the nearest integer?\nAnswer: 14976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0 - (-28 + 25)) + -1 + 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15225 - 15233.00015. Let t = l + 8. Round t to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4.2112 (c) 19 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4179691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200.9665 - -0.0335. Let k = i + -200.6. Sort -2\/3, -2, -1\/5, k in increasing order.\nAnswer: -2, -2\/3, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 138 = 16*v. Let c be (-12)\/(-14)*1\/(-3). Let d = c - -4\/7. What is the closest to 0.1 in v, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-3\/13)\/(v**3\/(((v\/v**3)\/v)\/v)) assuming v is positive.\nAnswer: v**(-97\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 471857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6)*1167*(-3)\/(-3). Let t = 725 + h. Is 48 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155320120?\nAnswer: 2, 5, 461, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvbmzep. What is prob of sequence em?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*w = -v + 511, -w - 169 = -v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.2. Suppose 4*w + 2*u = -2, 2*w = -2*w + 2*u + 10. What is the closest to o in w, 4\/5, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81.9 - -14.1. Let s = 158 - k. Let z = s + -62. Which is the second smallest value? (a) z (b) -1\/18 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -1. Let t = -306 - -301. Let d = 3.92 - -0.08. Which is the closest to d? (a) t (b) 2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -37*y + 52*y. Let h = 6048 + -1626914\/269. Is y less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*o - 9 = 3, 4*m + 60 = -5*o. Let q(i) = i**3 + 15*i**2 + 16*i + 11. What is the units digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, -2 in ascending order.\nAnswer: -5, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l - 42 = 0. What is the remainder when 30 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:23 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1803, -3604, -5405, -7206?\nAnswer: -9007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 109.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*n**3 + 19*n**3 + 93*n**3 - 204*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/455*259)\/(3\/5)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15396270 or -15396269?\nAnswer: -15396270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 102 + 87 = -24*s + 25*s, 0 = 2*s - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -131. Solve l*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13126.\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (-2 + -3 + sqrt(612) + sqrt(612)))**2 - (-4*(3*sqrt(204) - sqrt(204) - sqrt(204)))\/sqrt(12).\nAnswer: -56*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 - -188. Suppose 3*k = 3*h - 27, -51 = 5*k + h - 3*h. Let a = 8 + k. Sort u, a, 3 in decreasing order.\nAnswer: 3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2989244 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -134*p - 8711. What is a(-65)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71928 divided by -3996.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26004)\/(-18) - (-20)\/15. Calculate the greatest common factor of 48 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((3*sqrt(228))\/sqrt(3))**2 - ((2*sqrt(76) + sqrt(76))\/sqrt(4) - (-4 + sqrt(171)))) + -3).\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + -5))*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4910 divided by -10\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -25. Let c be 9 + (5 - 1)\/(-4). Let d be -2 - c*44\/(-8). Calculate the greatest common divisor of b and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 238. Let s(r) = 25*r - 3100. Calculate 40*l(b) - 3*s(b).\nAnswer: 5*b - 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 19*j = -14*j + 144, -4*p - 5*j + 43 = 0. Which is greater: p or -47?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196 divided by -135.\nAnswer: -1196\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -311 - 1?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 z when four letters picked without replacement from tzzzootz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/222 + 144\/243.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(931) + 3 + -1)**2 + 0 + (sqrt(304)*2)**2 + 5.\nAnswer: 112*sqrt(19) + 4961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 5*l - 28. Let b be h(10). Suppose 3038 = b*o - 5476. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/72*(-164)\/205. What is the biggest value in -51, -7, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -100002331?\nAnswer: -100002333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 20. Suppose -o*v + 33 = -3*z, 4*z + 22 = -v + 4*v. Solve -a + 0*d = 2*d + v, -a + d = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2875 + 2859 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.64953174 and 0.1.\nAnswer: 0.064953174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2 - 4*q. Let r(w) = w**2 - 1. Calculate -4*r(g) - z(g).\nAnswer: g**2 + 4*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (164 + -68 + -6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 1\/10*u**4 + 3\/100*u**5 + 0*u**2 + 0 - 1\/50*u**6 + 0*u**3 + 3*u. Solve h(k) = 0 for k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.04433g to tonnes.\nAnswer: 0.00009004433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -1444.\nAnswer: 13\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 20*k - 51. Let p be o(-8). Suppose 0 = -3*m + 12, -2*f - 3*m - m = 46. Let b = p + f. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -88 - (1004 - 943).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 2944.\nAnswer: 63\/1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n*z**5 - 3*n*z**2 + n*z + 2*n + 2*z**5 - 1694*z**3 - 33*z**2 wrt z.\nAnswer: 240*n*z**2 + 120*z**2 - 10164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 8602?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2 and 145\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9598779*u**2 - 13707303?\nAnswer: 19197558*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9)\/u*u)\/(u\/(u**(6\/11)\/u))*(u\/(u*u*u**(-5\/3)))\/u*u**(-4\/7)*u assuming u is positive.\nAnswer: u**(-865\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x - 4*x + x**2 - 4 + 2*x - 5*x. Is o(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 - 159. Does 25 divide h\/(-32) - (-361)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 15*n**2 - n - 7. Calculate the remainder when y(6) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1988424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.6 (b) -205.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let w(i) be the first derivative of -i**3\/3 - 2*i**2 - 5*i - 17. Calculate w(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-21)*((-1995)\/(-171))\/((-6)\/12)?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388526 is divided by 293.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2934632, -23477052, -79235044, -187816394, -366828888, -633880312, -1006578452, -1502531094?\nAnswer: -2139346024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 8}. Give prob of sequence xxqq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.317677 litres?\nAnswer: 4317.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 5*v + 84 + 77. Suppose -l = 8*t - 3*t + 13, -3*t - 3*l - 3 = 0. Sort 3, v, t in decreasing order.\nAnswer: v, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-8)*530\/(-159). Is 334 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 774?\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*s**3 + 11*s**3 + 42*s**3 - 2*s**2 - 19*s**3 to b + g*s**3 + v*s + m*s**2 and give g.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -1 - 14. Let t = 4 + -2. Find the second derivative of l**5 + t*l + 6*l - 3*l**5 - q*l wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 114)\/((-428)\/86 - -5). Suppose -6*c = 37*c - f. What is the lowest common multiple of 4 and c?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0*m - m**3 + 4 - 6*m**2 + m + 1. Let k(r) = -15*r + 22. Let n(p) = -18*p + 23. Let z(x) = -5*k(x) + 4*n(x). Let g be z(4). Calculate o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 + 3*v + 5. Let s be p(-4). What is the third derivative of -s*l**2 + 9*l**2 + 6*l**2 - 7*l**3 wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 242.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60290 is divided by 3173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 7*j + 3. Give m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448) + 4 + sqrt(2448)*-2*3 + 0)**2 - ((-6*1*sqrt(153))\/((sqrt(63) + sqrt(1575))\/sqrt(7)))**2.\nAnswer: -480*sqrt(17) + 61199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqxx when four letters picked without replacement from {x: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 315992876 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {x: 13, l: 5}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**8\/448 - 13*c**7\/840 + c**6\/96 + 5*c**5\/48 - c**4\/12 - c**3\/2 - 610*c**2. Solve l(y) = 0 for y.\nAnswer: -1, -2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414885 + 0.3.\nAnswer: -414884.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508881775 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohoohbshqhhoohhboh. Give prob of sequence bq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 1. Sort 3, -0.5, b in increasing order.\nAnswer: -0.5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -395, -720, -977, -1166, -1287, -1340, -1325?\n\"Answer: 34*u**2 - 427*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1\/9, -1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2485916 or -2485920?\nAnswer: -2485920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1)\/((-8)\/12). Let g(d) = d**3 - 2*d**2 - d - 3. Let q be g(w). Solve -4*x + b = -15, 3*x - q = 5*b + 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3323\/9018 + -77\/167. Which is the nearest to 0? (a) -5 (b) z (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -93.3. Let w = u + 0.7. Let z = w + -4. What is the second biggest value in 5, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*f**5 + 231490*f**4 + 428545*f**3 - 490540*f**2 - 169740*f = 0.\nAnswer: -943, -18\/7, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**2 + 2*t + 1. Let f be (3 - 4)*(0 - -1). Let s be w(f). Suppose -3*b - 8 = -s*b. Solve a + b = -2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 6. Let h be 78\/21 + 2\/7. Suppose h*g - 16 = l. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -258*f + 3*f**2 + 515*f - 260*f.\nAnswer: 3*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i**2 + 5 - 8 + 58*i**2 + 8 + 62*i**2 - 187*i**2.\nAnswer: -4*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 2 f when four letters picked without replacement from {d: 6, k: 1, f: 2, r: 5, i: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4458027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 12*r = -3*m + 20, -2*m = 7*r - 35 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 d when three letters picked without replacement from {m: 1, d: 5, v: 3, q: 1, n: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 52 + (1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**3 + 18 - 5 - 15 + (7 - 2 + 11)*(-2*f**3 + 7*f - 7*f) as g*f**3 + n + q*f**2 + r*f and give g.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1396, 1401, 1416, 1447, 1500, 1581, 1696, 1851?\n\"Answer: x**3 - x**2 + x + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12412012 (base 5) to base 12\nAnswer: -5b059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3760*h - 229653 = -269*h for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 - 30*n**4 + 68*n**3 - 4*n**2 - 66*n + 34 = 0. Calculate n.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, z: 1, n: 4}. What is prob of picking 1 z and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + y**2 - y**2)*(4 + y - 4) - 3*y**3 + 3*y**2 - 3*y**2 - 20*y**3 - 12*y**3 + 2*y**3 to j*y + h*y**3 + u*y**2 + r and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = u - 45, 3*u + 0*u - 151 = -5*m. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*y**3 + 12*y**3 + 11*y**3 - 93*y**2 - 4*y**3 - 2*y + 10*y**3 to j*y**3 + d*y**2 + s*y + g and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h*h**(-29))\/h)\/h)\/h*h*h*h**18 assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 5*b - 5. Suppose 1 = -3*i + 4, -d - 2 = 4*i. What is x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*i - 238*i - 8 + 113*i + (0*i + i + 0*i)*(2 - 2 - 1).\nAnswer: -25*i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1032 or 786?\nAnswer: 786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((16\/4)\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 20474\/9961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 - 3*a**2 + 5*a**2 - 2*a**2 - 4*a**3 - 5*a**2 + 64*a + 64 = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/((k*k*k*k**(-5))\/k)))\/k*k**(-7\/4)\/k assuming k is positive.\nAnswer: k**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/165)\/((-5)\/((-50)\/4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Solve 2*u + 2*l = 0, 2*l = i*u - 3*l + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(187) + sqrt(187)) + sqrt(187) + sqrt(187) + sqrt(187) + 2*2*sqrt(187))\/(1*sqrt(176)\/sqrt(4)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**2 - 12*p**3 - 12*p**4 - 17 + 42*p**3 - 14*p**3 + 18 - 15*p**3 as z*p**2 + y*p + a*p**3 + k + n*p**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-72) - -1 - (-19)\/(-76)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8327670559 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*8\/(-3). Let u(l) = -l**3 + 5*l**2 - 2*l - 5. Let g be u(4). Differentiate 2*s + g - s - v - 2*s with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.84 + -0.7. Let l = 0.04 - i. Let d = 1395\/11 - 127. Which is the closest to -1? (a) l (b) d (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27600 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is 446 minutes before 11:28 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -53. Let a = q + 186. Which is smaller: -0.17 or a?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3703, 14456, 32379, 57472?\n\"Answer: 3585*m**2 - 2*m + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74129 - 502965 = -14*t. What are the prime factors of t?\nAnswer: 41221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 389 = -4*s + 255, -q + 316 = -4*s. Suppose 0 = -3*n + f - 2*f + 162, 0 = n - f - 54. Calculate the remainder when q is divided by n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7644871*0.01.\nAnswer: 76448.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 37*i**3 + 3*i**2 - 4*i - 6. Let f(r) = -r**3 - r**2 + 1. Give -3*f(m) - v(m).\nAnswer: -34*m**3 + 4*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 37, -2, -6\/5, 4\/25 in descending order.\nAnswer: 37, 4\/25, -6\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 6*a**2 - 5*a + 4. Let v be u(5). Suppose v*t - 5*s - 132001 = -4*s, 66004 = 2*t - 4*s. Round t to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)*a)**(25\/4))**(-48) assuming a is positive.\nAnswer: a**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 375 = 339. What is h in 27\/2*h + 1\/2*h**s + 9\/2*h**2 + 27\/2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -642647 and 24.6.\nAnswer: -642622.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -0.4, -34.\nAnswer: -34, -5\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160778 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r**(2\/3)\/r)\/r))\/((r\/r**20*r)\/r)*(r**(-2\/7))**6 assuming r is positive.\nAnswer: r**(391\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*x + 156*x - 43*x**2.\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {c: 8, w: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 5*d - 285, -t - 3*d + 50 = 0. Suppose t + 79 = 2*z. What is the remainder when z is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 50*g + 373. Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**39)\/q**(-4\/37) assuming q is positive.\nAnswer: q**(-1402\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 40. Let y(z) be the second derivative of z**3\/6 + 4*z**2 + 7*z - 5. Let w(t) = -2*x(t) + 11*y(t). Calculate w(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f - 2. Let z be k(3). Suppose 4*q = 2*r + 12, -5*r + q - 6 = -3*q. Solve -z*j = 3*s + 3, -s + j = -r*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284 - 1300. Let d = -142 - c. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/5)\/(x\/x**(-6))*x**4*x*x**(-1\/2) assuming x is positive.\nAnswer: x**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 2971\/45. Let k = 41\/180 + n. What is the closest to 2\/5 in -5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)\/(-3 - -2). Let n(x) = x**2 - 7*x + 6. Let m be n(6). Let p be ((-42)\/6)\/(m + -1). Solve 0 = 3*q - s + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 19 = 5*i, 2*w = -4*i - 0*i + 8. Let l = w - -4. Calculate the least common multiple of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(64\/(-288)). Solve -d*w - w = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103985 > -104031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**(-8\/9)*(q\/(q*(q*q**5*q)\/q))\/q*q*q**4*q assuming q is positive.\nAnswer: q**(-11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 6*t + 6. Suppose -4*l = 2*z + 2, 0 = z + 5*l - 0*l + 4. Let k be (z\/(-2))\/((-7)\/98). Calculate g(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 62. Suppose 5*i + b = 36. What is the derivative of -i - 1 - 25*q - 3 wrt q?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*j*k**2 - 20345*f*j*k*x - 315*f*k**2*x + 38*k**2*x wrt j.\nAnswer: -2*f*k**2 - 20345*f*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623959 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*x = -25, -4*f + 2*x + 10 = -2*f. Is 76\/15 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 2 + 0*q**3 - 20*q**3 + 17*q**3 + 0 + 28*q - 4 in the form j + x*q + o*q**2 + l*q**3 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 525326 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 7*z - 7. Let k be i(5). Suppose 2 = -4*r + k*r. Let q = 8 + r. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*p + 2*x - 3, -4*x + 8 = 0. Solve -p*a - 8 + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 - 4)\/4. Suppose s - 80 = f*w, -2*w = -4*s + w + 310. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23112\/5 at most as big as 4623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28+10956619651\nAnswer: 10956619679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.98044 to one dp.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1105*o**2 + 15*o - 379. List the prime factors of u(6).\nAnswer: 17, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/4 - 13\/4. Let y = -122 + 149. Let w = y - 63. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(((-6)\/(-7))\/(32 - 29))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-316)\/3160*(-3540)\/(-6)*3\/((-6)\/2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 1 - (1 - 2*-1). Let n(f) be the second derivative of 2\/165*f**6 - 1\/11*f**2 + 1\/33*f**3 - 1\/22*f**5 - b*f + 1\/22*f**4 + 0. Factor n(m).\nAnswer: 2*(m - 1)**3*(2*m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12961*l + 12951*l + 2.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60438294 to the nearest integer?\nAnswer: 7774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 9*z**2 + 3*z + 4. Let s be (-36)\/(-15) - (-10)\/(-25). Suppose 0 = -x + 2*y + 7, s*y = -2*x + 15 + 5. What is the tens digit of i(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -840.92*0.106\nAnswer: -89.13752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(-35)\/((p*p**(-8)*p)\/(p**(-2\/21)*p)) assuming p is positive.\nAnswer: p**(-2060\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**3 + 61*l**2 + 169*l + 6. Let k(s) = 9*s**3 + 62*s**2 + 169*s + 5. Let q(a) = -5*b(a) + 6*k(a). Find the second derivative of q(m) wrt m.\nAnswer: -6*m + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2951792 and 2704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/11 (b) -5 (c) -0.19 (d) -25 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 1, c: 2, o: 1, d: 4, j: 5}. What is prob of sequence pchp?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327872 divided by 1248?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -5, 14, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * 11\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -1\/4*s**5 - 38 - s - 25\/6*s**3 + 5\/3*s**4 + 5*s**2. Factor t(z).\nAnswer: -5*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51383 is divided by 175?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98372191 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0321198 + -1689284.\nAnswer: -1689283.9678802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 33 = -4*n - 2*q, 3*q - 57 = -3*n. Let w be (-34)\/(((-20)\/8)\/5). Calculate the greatest common factor of n and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*(-30)\/40)\/((-12)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) + (-70)\/(-9). Let l be (-209)\/(-4) + (-2)\/a. Suppose -5*m = -l - 13. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:40 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 46, 56, 66, 76?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(2\/(-43))*68?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767332385.\nAnswer: 5, 19, 8077183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/23 (b) -6 (c) -3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 92 - 34. Let u = k + -119. Let d = -394\/7 - u. Which is the second biggest value? (a) -1 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 919864924 and 3047.\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k**2 + 3202*k - 13*k**2 - 3*k**3 + 2*k**3 - 10*k**2.\nAnswer: -k**3 - k**2 + 3202*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, n: 4}. Give prob of picking 2 q and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysllllywweylcelel. Give prob of sequence clwl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*f - 76. Let o = f + -25. What is the highest common divisor of o and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 921 - 918. Let v(u) = 2*u**2 - 2*u - 2. Let k be v(3). What is the closest to 1 in y, -2\/13, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from rrwkd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -81 (b) 14\/11 (c) 3.02 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by 10739558.\nAnswer: 57\/10739558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160522459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19810, 19809, 19808, 19807?\nAnswer: 19806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 16. Let r(b) = -b + 4. Let g be r(3). Let q be 3\/(-3)*p\/g. Solve -3*t = -q*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -34*c**5 - 1270*c**4 + 45592*c**3 + 122056*c**2 - 347808*c - 135936 = 0.\nAnswer: -59, -4, -6\/17, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59812981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -6 - -15) + -4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-3)\/1 - 0. Suppose w*i - 43 = 9. Suppose -2 = 2*m - 16. What is the remainder when i is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 117825\nAnswer: -8\/117825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 488571.\nAnswer: 977142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcodc. What is prob of sequence ccd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602019549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**3 - 7*x**2 - 5*x. Let c(g) = -g. Let r be (-4 - 4)\/2 + 3. Let t(b) = r*n(b) + 5*c(b). Find the third derivative of t(p) wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 6*p - 1 - 2*p**3 + 7*p + (159 - 68 + 218)*(-38 - 5*p**3 + 38).\nAnswer: -1544*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 237 - 161. Suppose -5*o + 36 = -3*o + q, -3*o + 4*q + r = 0. What is the second derivative of o + 5*m**2 - 2*m - 20 wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 348\/290*((-80)\/(-3))\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467 is divided by 322.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 15) to base 5\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -46*j + 1912. What is x(0)?\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 - 2*u**5 - 5*u**3 + (0 + 4 - 6)*(-3*u + u - u)*(12*u**2 + 4*u**2 - 57*u**2 + 3*u**4).\nAnswer: 16*u**5 - 246*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pnnnppp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by (-1*1 + 47)*(58 - 57).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 984305216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 2 i when four letters picked without replacement from dxxitxttnxtixne.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.4 - -9. Put b, -4, 4 in increasing order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*j = -58, 62 = -w + 4*w - 4*j. Let b = -82 + w. Let d = b - -123. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, j: 1}. Give prob of picking 1 j and 1 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*p**3 - d**2 + 524*d*p**5 - d*p**2 - 717*d*p wrt p.\nAnswer: 12*d**2 + 31440*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 6*s. Let j be i(3). Let r = j + 18. What is the derivative of -1 + 4 + 0 + r*g**4 + 4 wrt g?\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*v + 2*q + 18, -5*q = 3*v + 3. Let w = -160 - -482\/3. What is the nearest to -2\/3 in v, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + -8 + 8 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3935942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 87, 55, -17, -135, -305, -533, -825?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/24 - (-1)\/6. Suppose -4*r + 7*r - 288 = f. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1 + 77*z + 23 - 13 - 9. Let t(f) = -5*f. What is w(t(n))?\nAnswer: -385*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 10*g + 4. Let h be o(-11). Let z be 3\/(h\/2)*2. Which is the third biggest value? (a) -2 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6532, -6548, -6564, -6580, -6596?\n\"Answer: -16*b - 6516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h - 2. Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 22. Let k be ((-32)\/(-20) - 4)\/(6\/(-105)). Calculate the highest common factor of k and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*u**3 - 239*u**3 - 2124*u**3.\nAnswer: -3089*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 333937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j**3 - 20*j**2 + 7. Let p be 8*1\/(-2) - 3. Let h(c) = 14*c**3 - 19*c**2 + 6. Let n(a) = p*h(a) + 6*m(a). Find the third derivative of n(u) wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6661 (base 7) to base 6\nAnswer: 15031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11629520 to the nearest integer?\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**5 + 11*b**4 - 1184*b**3 - 3*b**2 + 9040 wrt b?\nAnswer: 180*b**2 + 264*b - 7104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556229863?\nAnswer: 7, 79461409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 5*j - 2*j - 4 + 2*j**3 + 3. Let l be x(2). Sort -2, l, -4.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 2*c - 3*k, -13367*k + 13365*k = -27*c - 864 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -11. Let o(j) = 8*j**2 - 9*j - 45. Let l be o(c). Suppose 0*s - 3*p = -4*s + 180, -2*p + l = 4*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4363889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/48 + (-2)\/8. Let o(k) = k**2 + 3*k. What is the remainder when -2 - b*292\/(-4) is divided by o(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from apeppaopappz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54723, 54816, 54909, 55002, 55095, 55188?\nAnswer: 55281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10377?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*w + 538539 + 359533. Is 196 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3)*3.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-9))\/(-5*(-4)\/(-28)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 33*w**3 + 9*w**2 - 7*w + 5. Let n(r) = -90*r**3 - 26*r**2 + 20*r - 15. Determine 6*n(q) + 17*o(q).\nAnswer: 21*q**3 - 3*q**2 + q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 82. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -2. Let v = -11 - -14. Suppose 3*i = 3*c - 12, v*c - 8 = 2*i - 0. What is the nearest to c in m, -2\/15, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-21) + (6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567730994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140186452.\nAnswer: 2, 7, 715237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (4 + (-2 - 2)). Let v = 11 - i. What is the greatest common factor of v and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Suppose -2*u - u = -9. Let q = u - 1. Put a, q, 3 in decreasing order.\nAnswer: 3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 13927?\nAnswer: -13926.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k - 5*k = 156 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 8*j**2 - j**2 - 7*j**2 - 26 to the form m + q*j**2 + o*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by 3.\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 0*p**3 + 27 + 2*p**2 + 4*p**3 to the form v*p + n*p**2 + k + m*p**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 + 1?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 6) + 2 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (203\/35)\/(-12 - (-427)\/35)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, j: 2}. What is prob of picking 3 c?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-420)\/1911*21\/(-132)*-2*-1.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10)*140\/7. Solve b + 9 + y = -4*c, -4*b + 8 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 9*p**2 - 5*p - 15. Let r be y(8). Suppose q - 5*c = 21, 0*c - 5*c + r = 4*q. Calculate the least common multiple of q and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 + 3*o - 3. Let u be v(-3). Let q(g) = -g**2 + 7*g. Is q(u) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:51 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*r - 14*f + 9*f, -3*r - 23*f = -181. Let w = 16 - 26. Which is the second smallest value? (a) w (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + 6*p + 6. Let h(v) = 41*v + 621. Let l be h(-15). Let t(o) be the first derivative of -o**3\/3 + o**2\/2 + o + 1. What is l*t(n) - x(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229.897 + 230. Let i = 0.026 + j. What is i rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5324038, 10648184, 15972332, 21296482?\nAnswer: 26620634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4891, 4921, 4951, 4981, 5011, 5041?\n\"Answer: 30*d + 4861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h. Let q be z(-1). Let y be -3 + (-17)\/(-5) - (-39)\/15. Solve p + n = -q, -p = y*p - 5*n + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let w(m) = -10*m - 1. Let a(v) = 5*f(v) + w(v). Let g(l) = 14*l - 11. Calculate -8*a(d) - 3*g(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -7\/3, -3\/5, -0.319?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1258, 1\/2, -3, 0?\nAnswer: -1258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 1289*b**5\/10 - 569*b**4\/2 - 2586*b - 2. What is the third derivative of u(l) wrt l?\nAnswer: 15468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:45 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137281451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 48, 363, 1052, 2247?\nAnswer: 4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 1086\/30 + -5 + 42\/(-35).\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 636, 1 in decreasing order.\nAnswer: 636, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 67081*p**2\/2 - 67083*p.\nAnswer: p*(p - 2)*(p + 67083)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 270 = 4*h. Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -146270\nAnswer: -438810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/147 and 83\/1040830.\nAnswer: 21857430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -113, -172, -231, -290, -349?\n\"Answer: -59*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -81.9 - -44.1\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**3 + p**2*r + 2*p**2*x - 19*p*r + 23*r*x + 1 wrt p?\nAnswer: 6*p**2 + 2*p*r + 4*p*x - 19*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27971, -27965, -27959?\n\"Answer: 6*m - 27977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 2*a**2 - a - 1. Let n be z(-2). Let v be 15\/(-10) + (-14)\/(-4). What is the derivative of -q + n + 2 - v wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 23 (c) 2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 15) to base 5\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*v - 481, -3*v - 7*l + 2*l + 283 = 0. What is the third derivative of 0 - 40*c**3 + 2 - v*c**3 - 290*c**2 + 294*c**2 wrt c?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 176 = 5*s, -3*s + 12*c = 7*c - 88. Is 23 a factor of -8 - s\/(-4) - (-681)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010100 - -100?\nAnswer: 101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98262639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3 + c - 5. Give h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a - 12. Does 18 divide (-3)\/(((-10)\/a)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 19 - 3 - (-1 + 2 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 1\/5, 4, -2, -1\/1678?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78419, 78423, 78427, 78431, 78435, 78439?\nAnswer: 78443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.2, -5, -25, 0.3, 84 in increasing order.\nAnswer: -25, -5, -0.2, 0.2, 0.3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16881*a**2*i**3*y - 376*a**2*i - a**2*y - 76*a*i**3 - 2*a*i**2 - 1835*i*y wrt i?\nAnswer: -101286*a**2*y - 456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -36, -80, -130, -180?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Let i be c(1). Solve 0*f - i*f = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 10 + 0*m - 2*m**2 - 2*m**3 - m**3 + 2*m**3 + 3*m. Let h(d) = 3*d**3 + 8*d**2 - 8*d + 29. Determine 3*h(w) + 8*x(w).\nAnswer: w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 30020220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**2 - 23*o - 31. Let c(w) = -5*w**2 + 20*w + 30. Let d(t) = -4*c(t) - 3*v(t). Give d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - -30 - -68) + -44.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3104973 or 0?\nAnswer: -3104973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*5\/20*-202 and -13\/159.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*45811.4\nAnswer: -178664.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 4 - 4 + 5 - 6.\nAnswer: 13*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 2*z + 5453, -3*z = 5*v + 5457. Let s be 32\/(-56) - v\/7. Suppose -k = -p + s, -2*p = k - 6*k - 298. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u. Let t(z) = 3909*z. Give t(i(j)).\nAnswer: -35181*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200011 + -120?\nAnswer: 21122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(5))\/sqrt(2)*-3.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2114\/17 <= -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -546 (b) 3 (c) -5 (d) 2 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3690 + 3700. Suppose -3*b = 2*m - 43, -4*b + 5*b + 2*m = 9. Calculate the remainder when b is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000585005212 to seven decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*w - 15 = 0, 6*w = -3*u + 3*w - 18. Is -26 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 7*q + 80. Suppose 5*v = -4*r + 12, -q*r = -3*r - v - 15. Let j(w) = -2*w**2 + w - 4. Calculate j(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403107494?\nAnswer: 2, 201553747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.837289 millennia?\nAnswer: 98.37289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 17*i + 12. Let l be b(-5). Let z be 192\/2*-1*l\/(-3). Let v = 75 - z. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38148239 and 3?\nAnswer: 114444717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3273 and 2.5.\nAnswer: 8182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/17263680 and 59\/1479744.\nAnswer: 51791040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2221*r**5\/5 - 1145*r - 1009. Find the first derivative of s(m) wrt m.\nAnswer: 8884*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*d - 116, -196 = 3*d - 8*d + 4*v. Calculate the greatest common divisor of d and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 + 47 - 4*s + 7*s)*(-4*s**3 - s**3 + 0*s**3) in the form i*s**4 + k*s**2 + w*s**3 + n + t*s and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331410 is divided by 41425.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71706 and 75924.\nAnswer: 1290708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 - (-16 - -12 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(75\/(-25)))\/((-132)\/(-2))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33264668 is divided by 16632331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 227 + 113 + 114.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j = 29*j - 70*j + 878148. Does 47 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let g(s) be the third derivative of -83*s**5\/15 - 1779*s**2 + s. What is g(u(d))?\nAnswer: -332*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2*o - 10, 4*o - 26 = 3*a - 36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -221. Let p = 75 + l. Put 3, -1\/2, p, 0 in decreasing order.\nAnswer: 3, 0, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) - 1*sqrt(91))))))))*5)\/(-2*sqrt(175)).\nAnswer: 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Let m = o - 1. Let t = 4 + m. What is the closest to 2\/5 in 2\/13, t, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = n - 5*y, -n - 3*y = -6*y + 10. Let a = 6 + n. What is the common denominator of (-154)\/a - (-2 - -5) and -81\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203669765 a multiple of 2311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 5*g + 4. Let p be d(-6). List the prime factors of p*((-53)\/2)\/1 - -2.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/1*282\/(-1316)*6\/27\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msssmsmssmmmmmms. What is prob of sequence smmm?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190701*o + 95368*o + 95315*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1107, -1598, -2885, -5352, -9383, -15362?\nAnswer: -23673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.1346141 to two dps.\nAnswer: -196.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 61 = 2*m, 14*m - 4*l + 0*l - 418 = 0. Solve 4*j = w - 6*w - m, -j = w + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.7 - -0.7. Let w = -25\/52 + -1\/52. What is the closest to -0.1 in -2\/7, l, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m + 25. Let c be s(8). Let a be ((-1 - 0) + -5)*c\/10. Sort a, -5, 1 in decreasing order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9128670193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -307, -495, -723, -1003, -1347?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -7.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147235859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 33*f - 4. Calculate the remainder when a(13) is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (589\/2)\/((-41)\/(-1558)). Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7140 + -7987.2. Let z = -783 - k. Round z to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-50) + -1 + (-4)\/(-5). Let d be c + 2 + -5 + (-27 - -31). Which is smaller: d or -2\/371?\nAnswer: -2\/371","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50934271 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(275)*2 + (4 + sqrt(275) + -1 - sqrt(275)).\nAnswer: -10*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1921817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 + 113. Suppose 3*y + 2*y = 4*v - 12, 0 = -2*y - 3*v + 9. Solve p + t - 8 = y, -5*p + 6 = -t - g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2661966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.82 (b) 1\/4 (c) -44.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -0.04, 0.2, 3, -0.18.\nAnswer: -3.4, -0.18, -0.04, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*v + 8 - 7*v - 32.\nAnswer: -5*v - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -3 in increasing order.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 10 (c) -4\/7 (d) -1\/1183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -86*(-2)\/40*-1. Let i = n - 154\/45. What is the common denominator of i and (15666\/(-180))\/(-7) + (-38)\/(-95)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-10) - (504\/(-24))\/(-7). What is the closest to 2\/7 in 2, u, 2\/11, 43?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 332*j**2 - 6*j - 23. Let i be r(-5). What is the greatest common factor of i and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-12)*(-1696)\/106*(-18)\/(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l + 13. Let q be u(5). Let h(m) = 2*m**2 + 15*m - 6. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5*v - 1. Let a = 6 + 0. Let c be t(a). Let j(i) = c*i**2 - 5*i**2 - i**2 - 4*i**2. Let l(d) = d. Calculate j(l(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 3534.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-8))\/(-1)*8\/(-1). Let z(j) = -j + 30. Let g be z(29). Sort 5, b, g.\nAnswer: g, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 101.61.\nAnswer: 17.2737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*u - 9 + 3, 30 = 5*u + 5*y. Suppose 2*p - 8141 = -i, -i = 7*p - u*p - 12214. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 + 214.3. Let j = d - 14.7. Let l = -6\/19 - -68\/95. Put l, j, 0, 2 in descending order.\nAnswer: 2, l, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.01 (b) -1\/2 (c) 0.317 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose 2 = -s*f - n, -2*f + 2*n + 2*n - 20 = 0. List the prime factors of (-1)\/f*(7 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1787, -3582, -5381, -7184, -8991, -10802?\nAnswer: -12617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**10*z)\/z)*z**19*z)**(-19\/5) assuming z is positive.\nAnswer: z**(-209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3221010 (base 4) to base 15\nAnswer: -4646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153187 (base 9) to base 4.\nAnswer: -112333321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/15 (b) -2\/7 (c) -89 (d) 3\/391 (e) 1\/2 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpopomsy. Give prob of picking 1 b and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p**2 - 5*p**3 + 1 + 4*p + 4*p**3. Let c be v(-3). Let r = c - -22. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15829006, 31658031, 47487058, 63316087, 79145118, 94974151?\nAnswer: 110803186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226647918 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 390894 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2488*l**5 + 6*l**2 - 5472*l wrt l.\nAnswer: 49760*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from popppppppppopppppppp. What is prob of picking 2 p and 2 o?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = -5*j + 4, -5*j + 6 = -x. Let f = 123 + -24. Let o = f - 103. What is the nearest to -5 in -0.2, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57619641.\nAnswer: 3, 149, 128903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34 - 0 - (752 - 764) - 40\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 18*x**2 + 2*x + 5. Let t be q(-18). Let c = 35 + t. Suppose -c*b - 5*h = 589, 5*b - 121 = 6*b - 4*h. Round b to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29175 by -4.\nAnswer: 29175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y**4 + 16*y**4 - 26*y**4 + (-5 + 5 - 5)*(0 + 0 + 2*y)*(7 + 6 - 13 + 40*y**3) in the form m*y + i*y**2 + p*y**4 + j + o*y**3 and give p.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**3 - j**2 - j + 1. Let l be w(1). Suppose 0 = -l*c - 15 + 36. Let o(r) = -c*r + 26 + 0*r - 43 + 27. Calculate o(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8621737 and 1156.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 1. Let b be p(1). Let a = 1581 + -1577. Solve -4*r - 5*f = 10, 4*r - a*f + 30 - 2 = b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + sqrt(45))**2 + 0 + 3.\nAnswer: -24*sqrt(5) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 681896515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4994708 and 290390.\nAnswer: 24973540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 126*w - 117. Determine b(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -15, 3, 4, -92874 in decreasing order.\nAnswer: 5, 4, 3, 2, -15, -92874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 23*o**3 + o**2 + 12*o - 10. Let n(d) = -92*d**3 - 2*d**2 - 49*d + 41. Let a(m) = 3*n(m) + 11*x(m). Find the second derivative of a(f) wrt f.\nAnswer: -138*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.025 rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -231 - -233. Let q(r) = -r + 8 + 1 - x. Let l be 6 - ((-2 - -3) + 0). What is q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106880 or -2458242\/23?\nAnswer: -106880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-16 + 30 - 59 - -18).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448727515?\nAnswer: 5, 89745503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3430\/42)\/((-40)\/(-48)) and 112?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -138957646 and 0.3.\nAnswer: -138957645.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 9 - 72. Suppose 4*v = t + 7. Suppose g - 31 = -2*p + 21, 0 = 2*g - v*p - 64. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -1561, -2284, -2967, -3610, -4213, -4776?\nAnswer: -5299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 - 31 = -2*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 - 2*r**2 - 5*r - 3. Let j be a(-1). Let k = 17 - 17.7. What is the closest to -0.1 in j, k, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hff when three letters picked without replacement from hhfhhhhhhhhhhhfhhhhh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.257 * -0.5.\nAnswer: 0.1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 + 157*o**4 + 618*o**3 + 922*o**2 + 613*o + 153.\nAnswer: (o + 1)**4*(o + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0, -1\/3, 0.02812182?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**2*o**3 + 36*i**2*o - 5*i**2 + 10*i*o - 15023*o**3 wrt o.\nAnswer: -36*i**2*o - 90138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2 + 4*b - 3. Let h be m(2). Suppose -5*g + 65 = -h. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355490693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 18. Let o be j(-6). Let y be (13\/((-117)\/o))\/(1\/(-3)). Suppose 6 = 3*k, w - 2*w = -y*k - 48. Calculate the greatest common divisor of w and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0 - 10) + 7 + -5. Let j be 21*1 + 7 + -3 + w. Suppose -2*v + 3*b + 46 = 0, j = 3*v - b - 49. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + (11 + -11 + 11 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2186, 8749, 19686, 34997, 54682, 78741, 107174?\nAnswer: 139981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234 - -233.8. Let k = -0.7 + -0.3. What is the nearest to k in i, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2\/7, 2\/5, -8.\nAnswer: -13, -8, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -150065376 divided by 1?\nAnswer: -150065376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {c: 17, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 55 = w. Suppose 2*m - 13670 - 35349 = -w*d, -4*m + 98065 = d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.397098 * -0.2\nAnswer: -4.4794196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28619*q**3 + 8760*q**3 + 9904*q**3 + 9935*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 45. What is c(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14148797.72 and 857.\nAnswer: 14149654.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 - 6*j**2 - 12*j**2 + 22*j**2 in the form u*j**2 + h + b*j and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a**2*l**2 + 83*a**2*y + 5*a*l**3*y - 3*a*l**2 - 2*l**3 wrt y?\nAnswer: 83*a**2 + 5*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-18) - 126\/567)\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*k + 2*k + 1786. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -5*m, -8 = 3*m - 5*m - 4*z. Let j = 158\/39 + -608\/195. Is j > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.15 + -1.8. Let k = 0.11 - j. Let x = k - -0.2496. Round x to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -762 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486143283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 483, 475, 439, 351, 187?\n\"Answer: -4*g**3 + 10*g**2 - 10*g + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*g - 13, 127*z = 129*z - 4*g + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81133, 81141, 81149?\n\"Answer: 8*z + 81125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9 - (-154)\/(-5049)*9.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-180 + 22*z**3 + 180)*(1 + 2 - 12) - 7*z + 7*z - 7*z**3 in the form v*z**3 + g*z + t + k*z**2 and give v.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**3 + 18*r**3 + 16*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 a factor of 72793880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by -227345\nAnswer: 121\/227345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.073 + -0.073. Let s = -0.07 - 1.93. Let m = k - s. What is the third smallest value in -3\/5, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 33. List the prime factors of a(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262663 * -5.24\nAnswer: -1376354.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 7*y - 7. Let t be a(-2). Let j be (t\/(-4))\/((-12)\/80). Solve 13 + 11 = -j*g + q, -5*g = 3*q + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d. Let s be n(-3). Suppose -4*m - 2 = 2*k, -13 = -3*m - 4. Let i = s + k. Is i at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8584 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560664 and 1170.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -15, 96 in increasing order.\nAnswer: -15, -6, 4, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 94*q**2 + 78*q + 1411. Let z be s(93). Calculate the highest common divisor of 716 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 69 + 11. Let x be 4 - 3*z\/(-12). Solve 2*v - 5*j = x + 12, 0 = 2*v - 3*j - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (91 - (-30 + 98)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7))**(-17\/2) assuming b is positive.\nAnswer: b**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 - 334. Suppose 4*l - 4*m = -9*m + 15, -6 = -2*l - 2*m. Let k be (-3)\/(3*o)*(l - 2). What is the nearest to -0.1 in -1, -14, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 + 1532*u + 63536 = 0.\nAnswer: -722, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*z**4 - 12*z**2 + 29*z**2 - 17*z**2 - 9 wrt z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:41 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -22. Suppose -q + 7 = 2*o + 3*i, -4*i = -o + 3. Solve z = -o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - 313422\/(-66)) + (-4)\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 7) to base 13\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4 - 90*f**3 - 501*f**2 - 828*f - 420 = 0.\nAnswer: -2, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 - 152*l**3 - 66*l + 2 wrt l.\nAnswer: -48*l**2 - 912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 79*n - 333. Give t(-83).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4392 + -4391.9. Let b(s) = -5*s + 2. Let r be b(6). Let p be (-2)\/(-4) - r\/16. Is n at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*m - 177*m + 135 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*20*1\/(-2). Suppose -3*m + 6 = -m. Suppose j = 5*s, 3*a + 3*s - m = -9. Let f(u) = u + 2. What is f(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.8. Let k = -0.11 + 0.01. What is the nearest to 0 in k, -5, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96002, -96024, -96054, -96092, -96138?\n\"Answer: -4*k**2 - 10*k - 95988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-6)\/18 - 4\/(-3)). Suppose -6 = 3*x + l*k, 12 + 6 = -5*x - k. Is 409 - (-3)\/(x\/(-16)*6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:36 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017385151 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51536\/(-40)*-1*-5. What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*b + 3*g + 2, -4*b = 2*g - 22. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 249*k**2 - 5996*k - 442. Let r be j(-222). What is y in 4 - 2\/9*y**r - 34\/9*y = 0?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.37 - -0.97. Which is the third smallest value? (a) 4\/3 (b) n (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21817.\nAnswer: 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238917?\nAnswer: 3, 7, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 5. What is the least common multiple of 8 and o(-4)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*x + 16, 10 = -3*x - 7*p + 3*p. Let o be (-49)\/7 + -3 + 0. What is the tens digit of 56 - (o\/14 + x\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1830 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 3*f + 4*a, f - 150 = 2*a - 3*a. Suppose 22*s + 7*s = 551. What is the highest common factor of s and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, x: 11}. Give prob of sequence xttx.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.02, 5, -2, -9265, -2\/21, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 1. Let i be r(4). Suppose 0 = -2*x + x - 5*m - 12, 19 = i*x + 4*m. Let w(z) = -z**2 - 7*z - 3. What is the remainder when x is divided by w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) + -3 - (-6 - -3). Solve 5*z + 5*f + 1 = 2*z, 5*z - 2*f - 19 = p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, -1\/4, -4, 5 in ascending order.\nAnswer: -4, -1\/4, 4.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**3 - 4*c**2 + 5*c + 13. Let z be x(-2). Suppose z = 46*a + 75. Find v, given that -3\/4*v**2 + 9\/2*v**4 + 0 + 21\/8*v**5 + a*v + 9\/8*v**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41985, -167991, -377989, -671973, -1049937, -1511875, -2057781, -2687649?\n\"Answer: b**3 - 42002*b**2 - 7*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpyp when four letters picked without replacement from eegppgyggpgy.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*f + 16*f**2 + 108*f as r*f**2 + d*f + l and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 91*o + 89*o + 1 - 2.\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -791.3? (a) 3 (b) -0.5 (c) 0.4 (d) -15\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/145908 and 8\/1617147.\nAnswer: 19405764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -781 and -0.4.\nAnswer: 312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.777 to 1 decimal place.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/239 (b) -58 (c) 0.5 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12305 is divided by 76?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -74 (b) 0 (c) 1 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, -173, -351, -529, -707, -885?\n\"Answer: -178*c + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 752\/6 + (6 - (-112)\/(-21)). Suppose 3*y + b = 5*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 87*q = 27*q + 11*q + 1300 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11 - 11 + 2*c**2. Let k(w) = -4*w + 2. Let p(a) = 4*a + a + 2 - 5. Let m(l) = -3*k(l) - 2*p(l). Give m(x(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-4)\/40*111\/(-74)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(735)*2 - 3*(sqrt(15) + sqrt(375)))\/((sqrt(35)*2)\/sqrt(7) - sqrt(40)\/(sqrt(8)*-2)).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1429 * 193.\nAnswer: -275797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k - 9. Let x(j) be the third derivative of j**4\/3 - 13*j**3\/6 - 83*j**2. What is 7*h(w) - 5*x(w)?\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(-1)\/(-2). Let j(n) = n + 14. Let k be j(0). Suppose 0 = 9*r - k*r. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, 3, -4, -5, -120, -10.\nAnswer: -120, -10, -5, -4, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12800 and 18944.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 6*q = 5*h + 12, 20 = -5*q - 3*h. Put -8, q, -5, -98 in decreasing order.\nAnswer: q, -5, -8, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.113 - 0.2771374291.\nAnswer: -0.1641374291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 18\/(-27) + (-4402)\/(-6). Let y = -315 + c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9917\nAnswer: -1\/9917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-21)\/(-3))*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1 + -11.67542281271?\nAnswer: -27.77542281271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 - 2. Let p be x(3). Let m(d) = -7*d - 9. Let j be m(p). Solve 13 = -5*o + 3*h - j, -4*o - 11 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 89.8677g?\nAnswer: 0.0000898677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -74*g - 14. What is the tens digit of p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*b = -4, a - 4*b - 1010 + 1012 = 0. Let i = 1 - 1. What is the nearest to 1 in a, -2\/15, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627005629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.71 - -15.71. Which is the second biggest value? (a) -0.4 (b) -28 (c) -1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -248 + 1733\/7. What is the nearest to 0.1 in y, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 - 0) - (33 + -33) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 11. Suppose -r*u + 32 = -0*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 130578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1438181, 1438181, 1438193, 1438229, 1438301, 1438421, 1438601?\nAnswer: 1438853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5923 - -0.0417. Let r = 54.766 + a. Round r to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 10246.\nAnswer: -30738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**4\/6 - 3*c**3\/2 - 4*c**2. Let o be m(-6). Find the common denominator of 97\/18 and 206\/24 - 5\/o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**4 - 3215233*g*v - 27639718*v wrt g?\nAnswer: -12*g**3 - 3215233*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738008 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: Two letters picked without replacement from qkqkyyyykyyqkh. Give prob of sequence qh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7233*l + 81693 + 108936 - 311725 - 464777 for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01203 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w)*(-w**4 + w**3 - w**3) + (4*w**4 + 2*w**4 - 5*w**4)*(-638 + 1255 + 18*w - 633)*(5 - 3 + 0).\nAnswer: 35*w**5 - 32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -9.\nAnswer: -13, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-28)\/11) + -3. Let q = 3.4 - 3.27. Let m = q - 13.13. Sort m, -3, -2, s in decreasing order.\nAnswer: s, -2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 69\/5 - (-3)\/15. Let d = -8 + q. Let m = d + -1. Solve m*u - 6*u = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 + 76*m**4*x + 3*m**4 + 3*m**2*x - 18*m**2 + 36*m*x wrt m?\nAnswer: 180*m**2 + 1824*m*x + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -5, -1, -3, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18306 and 4968.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407*k**3 + 369*k**2?\nAnswer: 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7947 - 7865. Which is smaller: y or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3, -2\/21, -16, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -92395 and -5.\nAnswer: -92400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6222 and 918?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 757, -4, 1, 0.2, 2, -1\/4 in ascending order.\nAnswer: -4, -1\/4, 0.2, 1, 2, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176))**2*-6.\nAnswer: -1152 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(6 - (-185)\/25). Find the common denominator of -22\/5 and (g\/(-35) + 0)\/((-12)\/15).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 26*q + 3. Let j be l(13). Let o be (-1)\/((-3)\/(-36)*j) + 5. Calculate the greatest common factor of 7 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 4*j - 1. Let v be r(-4). Suppose -p = 2*p - v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3356 (base 7) to base 9\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 41. Let r = 16.5 + v. Which is the smallest value? (a) 0.2 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -292609 and 2731.\nAnswer: -289878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*-5*3\/6. Suppose -l + 5 - 4 = 2*g, 4*g = 2*l - h. Let k = l - -7. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:11 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 - 134648*g\/13 - 2266260488\/13.\nAnswer: -2*(g + 33662)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21725045 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 minus 15?\nAnswer: -3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -14. Let o = -11 - -20. Let p = 13 - o. Calculate the remainder when a is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (20\/(-6))\/(1 + (-40)\/36) and 21 - (3\/(-1) + 2 + -2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -279\/3202 in 2, 10, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 425848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339176652 to the power of 1\/4, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + -108 + 88 - (-2 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 2*v**5\/5 + 11*v**4\/12 - 186*v**2 + 4*v - 8. Find the first derivative of g(z) wrt z.\nAnswer: 24*z**2 + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 14*j - 12. Let t be f(-15). Is t < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 + 190 - 67*h**3 - 7*h**3 to m*h**2 + v*h + p + x*h**3 and give x.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2429 and 39905?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 52, 0, -141, -8, -0.4 in decreasing order.\nAnswer: 52, 4, 0, -0.4, -8, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 46 + 221. What is the hundreds digit of 1560\/g*5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002638212297 rounded to six decimal places?\nAnswer: -0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767 a factor of 97001517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -46. What is the nearest to 1 in -3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -61*v + 122. Let k be w(2). Solve -14*f + 12*f + 10 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2134, 4, -2, 2.\nAnswer: -2, 2, 4, 2134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 48, 296, 1?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7922855 to the power of 1\/2, to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 76676?\nAnswer: 153352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 46*u = 4*o + 1558, 5*u - 4*o = -1269. Which is bigger: -256 or u?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l**2 + 8*l - 12. Let u(s) = -s**2 + 2*s + 2. Determine -4*u(n) + y(n).\nAnswer: n**3 + 5*n**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/(i\/(i\/(i\/(i\/i**(1\/6))))))\/(i\/(i**0*i))**19*(i*i**(1\/2))**(-10)*i**(5\/3)*i\/(i\/((i\/i**6*i)\/i)) assuming i is positive.\nAnswer: i**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-63)*(-21)\/(-175)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 7*u**2 - 12*u - 1. Let x be t(3). Let q = -3417 + 242611\/71. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - h**3\/3 + 3*h**2 - 12*h - 1. Suppose -2*j + 4*j = -16. Let o = -3 - j. Calculate k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -795 - -819. Solve -16 = -16*x + g*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69898929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 1024 = 1946. Suppose 0 = -4*p - 31 + 139. What is the greatest common factor of p and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*-2)\/(121\/22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196 divided by 22.\nAnswer: 598\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 29217\nAnswer: 29217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18331?\nAnswer: 23, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 - 19. Is f(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 + 9*q - 8. Let d be k(7). Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105292 rounded to 3 decimal places?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/57595807 or 0?\nAnswer: 42\/57595807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 102*v - 103.\nAnswer: (v - 103)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(190)\/sqrt(10) - (sqrt(475) + 3).\nAnswer: -10*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1220902 from -5.\nAnswer: -1220907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293, -1607, -941, 705, 3331, 6937, 11523?\nAnswer: 17089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8035*1.94\nAnswer: -15587.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37 and -4465.46?\nAnswer: 4502.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56012 - -10.574?\nAnswer: 12.13412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -38. Let h(t) = -t**3 + 5*t**2 + 2*t - 1. Let j be h(-3). Let l = j - m. Let y(a) = -3*a**2 + 2*a - 2. Let s(c) = -c**2 - 1. Give l*y(b) + 4*s(b).\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2717161, -3 in decreasing order.\nAnswer: 3, -3, -2717161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1877, 3707, 5535, 7361, 9185?\nAnswer: 11007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 0, 8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:32 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 7*d + 168. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1\/5, 4 in increasing order.\nAnswer: -3, -2, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 12:39 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 17*j**6\/24 - 197*j**3\/6 - 4*j**2 - 47. Differentiate q(x) wrt x.\nAnswer: 255*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Let v(w) = 191*w - 37*w - 114*w. What is 50*a(f) - 6*v(f)?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82629506.\nAnswer: 2, 41314753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxgx when four letters picked without replacement from {g: 9, u: 4, x: 3}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 615 + -5?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 5 (b) -0.2 (c) -18 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u**(-10\/7)\/u*u))*u)\/((u*u**44)\/u) assuming u is positive.\nAnswer: u**(-297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:40 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14338256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose 3*n + 12 = 4*i, n - w*n - 5*i = -15. Suppose 3*s + 1 = -2*l, l = 4*s - 0*s + 5. Sort s, n, 1 in decreasing order.\nAnswer: 1, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23530, 47017, 70438, 93769, 116986, 140065, 162982, 185713?\nAnswer: 208234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -1\/6 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12459, 100054, 337851, 800952, 1564459, 2703474?\n\"Answer: 12517*o**3 - o**2 - 21*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -575*d - 5. Let v(z) = -573*z - 8. Give -3*l(b) + 2*v(b).\nAnswer: 579*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 8 = -4*f, -2*n = f + 2 + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.1, -6, 3\/43, 65?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 24 = 108. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102210000 (base 3) to base 6.\nAnswer: -103430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890723594207 + 0.5?\nAnswer: 1890723594207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 59205 = 5*x - 8*l, x + 11838 = 4*l. Let p = x - -35855\/3. Is p not equal to 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 126082?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716.1151ml to litres.\nAnswer: 0.7161151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqi when three letters picked without replacement from qjjjjsisjsjsijijqji.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12500 - 12458. Calculate the highest common divisor of 1484 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 - 85*v + 86. Let a be f(1). Let w = 16.1 + -15. Let x = w - 1. What is the third biggest value in x, -0.4, 5, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4781 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 + 17*d + 10. Let o be l(-8). Let s be ((-6)\/(-8))\/(10 - o\/(-64)). Solve 4*v + 5*p - s = 0, -5*p + 19 = -4*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -17181*b**2 - 7*b + 7*b + 8586*b**2 + 8592*b**2. Let g(p) = -8*p - 20. Let v(m) = -3*m - 7. Let a(s) = 6*g(s) - 17*v(s). Give c(a(k)).\nAnswer: -27*k**2 + 18*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -628200 divided by 150?\nAnswer: -4188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*j - 28, -2*k + 8*j - 4*j = -16. What is the remainder when 71 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53995152 + -0.07.\nAnswer: -53995152.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385\/1100 - 6\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 404\/(-303)*6\/(-16). Suppose 4*g + 12 + 4 = 0. Let a be g - 53\/(-12) - 2\/(-6). What is the second smallest value in -1, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19488, 39128, 58768, 78408?\nAnswer: 98048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-2)*2 + (2 - 3). Sort w, 1, 4, 0 in ascending order.\nAnswer: 0, 1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from dcswsvscwwvve.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -3\/5, -16, 6.3 in increasing order.\nAnswer: -16, -3\/5, 3\/2, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**2 + 51123*x - 204491. What is i(4)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 556*j. Let a(s) = 3*s**2. Determine x(a(r)).\nAnswer: 1668*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from szzzzsssssszz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (-358 - -352) + (11 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/2704*-13*8*1*4*16\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a factor of 7580037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 1:19 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q**2 + q**3 - 3*q**3 + 3*q**3.\nAnswer: q**3 - 94*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*k = -128*k - 25. Suppose -z - 2*c + 75 = -120, 3*z = k*c + 563. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 41086 + -17873. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(2*g**2 - 2*g**2 - 2*g**2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = 7*d. Suppose -d = -20*g + 19*g. Solve -4*t + 2*t + g = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8928*f = 9113*f + 1480 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9964729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 divided by 4?\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - 0 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79230258 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2499 - 2415 = 4*j, -5*m + 195 = 7*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i*n**4 - i*n**3 - 1191*i*n + 14*n**2 wrt n.\nAnswer: 72*i*n**2 - 6*i*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/10)\/(187\/935). Let j(c) be the second derivative of 0*c**3 + 0 + 10*c - 1\/3*c**4 + b*c**2. Factor j(q).\nAnswer: -4*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62.3 - -62. Let m be (-10)\/(-25) + (-2)\/10. Which is the nearest to m? (a) 5 (b) n (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - -3) + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -913 smaller than -917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30955 and 1640?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-138)\/1449)\/(210\/(-54)))\/((-3)\/(-7))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 210*y**2 + 237*y**2 + 10*y - 7*y - y.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3377 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 19 = 5*m + 4*c, -2 = -m - c. Suppose 2*g - m = 13. Calculate the highest common factor of 63 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2330\/(-101355) - 7575\/(-261)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + r + r - r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 21 = -2*w, 3*w + 5*r - 16 + 0 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0891 or -63\/626?\nAnswer: -63\/626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 19*h**2 + 9*h**2 + 13*h**2. Let s(g) = -26*g - 27*g - 32*g + 109*g - 22*g. Calculate r(s(i)).\nAnswer: 160*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {a: 4, v: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpmf when four letters picked without replacement from {p: 2, f: 3, m: 10}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 112?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let l(z) = -26*z - 78. Calculate -l(m) + 78*w(m).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 18. Let g be p(20). Let r be 376\/(-12)*6*g\/8. Let f = -29 + r. Calculate the least common multiple of 12 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.186527 times -13.78?\nAnswer: 2.57034206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 4*p**2 + 10*p**2 - 4*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044 equal to 16437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21253 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/5)\/(2\/(-4)*(-78)\/(-130))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 130351?\nAnswer: 13035a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 52 = 14*u. Suppose -30 = -4*z - u*z. Let v be (-4)\/(-14) - 34\/(-28). Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + d**2 - 8. Let k be m(4). Suppose 0*t - 2*t = -k. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -42*v - 27. Let q(k) = 347*k + 6. Let n(l) = -63*l - 1. Let f(r) = 11*n(r) + 2*q(r). What is -108*f(a) - 4*w(a)?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 8*n - 9. Solve 0 = 5*p + 4*f + 45, -4*f - 10 = p - n*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4579, -4859, -5297, -5875, -6575?\nAnswer: -7379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3, -4, -2\/111 in ascending order.\nAnswer: -4, -2\/111, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15217 and 3413.\nAnswer: -51935621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24796184177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m = -53*m + 8961 + 2171 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*l = -211*l + 252. Calculate the greatest common divisor of 558 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z - 4. Let s be r(0). Let q be 1\/(-2)*s\/(-8). What is the nearest to 0 in 2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**5\/20 - 5*u**4\/16 - 2*u**3\/3 - u**2\/2 + 1600. Factor c(p).\nAnswer: -p*(p + 1)*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529, 1022, 1515, 2008, 2501, 2994?\nAnswer: 3487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kybb when four letters picked without replacement from uvubuytuyyukutuyybuy.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657139 - -0.1?\nAnswer: 657139.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6893337 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*g - 2 = 11, 5*g = -3*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(7*x + 5*x - 5*x)*(5*x - 4*x - 2*x + (5 - 4 + 3)*(0*x + 0*x - x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 3*s**2 + 3*s**2)*(3*s**2 - 2*s**2 + s**2) + (3*s - 2*s + 0*s)*(-430*s**3 + 391*s**3 - 719*s**3).\nAnswer: -760*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p + 166 + 32*p + 60*p.\nAnswer: 2*p + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m - 7*m)*(1 + 2 - 1) + (25*m - 131*m - 20*m)*(5 - 2 - 6) + (-2*m + m + 2*m)*(-1 - 1 + 0).\nAnswer: 372*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.0317958 and 876.\nAnswer: 877.0317958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -51. Let o be ((-1734)\/12 - -150) + (-1)\/(-2)*25. What is the highest common factor of o and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 2*z + 11 + 0*z**3 + 4*z**3 to x*z**3 + a*z**2 + u*z + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-644)\/105 - (-11)\/(-30)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434937744?\nAnswer: 2, 3, 7, 10223029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -4*u + 21. What is the common denominator of -21\/20 and 1 + u + -2*85\/48?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 28*u + 162. Is 134 a factor of i(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -17, -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q - 1. Let u be r(-4). Let d = -17 - u. List the prime factors of d\/(-6)*14*-3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2691.722 + 2697. Let k = z - 5.33. What is the fourth biggest value in k, 1\/2, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {s: 12, n: 3}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3 - 2\/(-6). Let o = t + 0. Let a = -17.1 + 17. What is the closest to 0 in a, o, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5998661 - -6.599. Round m to five dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = 5*v, v - f - 3 = 1. Suppose -2*p + v = q, -5*p - 5*q + 20 = -0*p. Let z = 0 - 2. Put z, 0, p in decreasing order.\nAnswer: 0, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 0.1674237639?\nAnswer: 0.4325762361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/600*30\/22?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 29*c**4\/24 - 2499*c**2. Let f(v) = 119*v. Give f(g(y)).\nAnswer: 3451*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.387 + 258.613. Let j = -237.8 + s. What is j rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 1, d: 1, o: 4, t: 1}. Give prob of sequence dxt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 9293600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -17211*v + 1785. What is the tens digit of f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*k - 356*k + 1041*k - 338*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 3*d + 54. Let j(q) = -2*q**2 + q. Calculate -3*j(x) + s(x).\nAnswer: x**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 11609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 163\/3. Let p = 2\/15 + 1\/5. Which is the closest to y? (a) p (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66)*-2 + 4*-1*sqrt(66))\/(sqrt(6) + sqrt(726)*-3 + sqrt(726) - (-1*((sqrt(24) - sqrt(6)) + sqrt(6)) + sqrt(6))))**2 + 5.\nAnswer: 169\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = q - 27, 157*q - 94 = 352*q - 197*q + 4*g for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. Suppose -a*v + 13 = 4*l + v, -11 = -3*l - v. Is (-8)\/(-16) + 130\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -1165, -3939, -9339, -18241?\n\"Answer: -146*q**3 + q**2 - 5*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 59783\/6260 + 99\/(-36) + 0\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:05 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c - 16 = 0. Let w(y) = 13. Let h(k) = -k + 12. Let g(x) = c*h(x) + 3*w(x). Let b be g(6). Solve -5*v = -2*n - b, 2*n = -2*v - 2*v + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -29.4. Let u = g + 0.4. Which is the second smallest value? (a) 2\/13 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 35*f = 6*b + 70*f - 20*f + 11, 5*f = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - -5 - 5550\/1200.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9535285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 - -202. Which is smaller: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -845822 to the nearest ten thousand.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87 + 14.47. Let g = f - 13.5915. What is g rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - 106\/(-3). Calculate the greatest common divisor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/6792 (c) -4 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2220 and 46176.\nAnswer: 230880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 0*f + 5 + 0*f.\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3165855.8 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 14 - -1) + 4 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7904, 25880, 55854, 97832, 151820, 217824, 295850?\nAnswer: 385904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*t, -9*c + 1643 - 1642 = -17*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 3*s + 3. Let j be y(-2). Let b(k) = 5*k**2 - k**2 - j*k**2 + 10 - 5*k. Let h(c) = -c**3 + 19*c**2 - 2*c + 31. Let p be h(19). Give b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = 3*i - 0, i + 13 = -4*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/24 - (-5)\/15?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28161 + -27882. Calculate the remainder when z is divided by 229.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-195402585\nAnswer: -195402585.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/9 - 22*m**4\/9 + 1142*m**3\/9 + 22*m**2\/9 - 380*m\/3 = 0.\nAnswer: -30, -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/16)\/1*6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57373\/11 + -5220. Find the common denominator of u and -67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208\/(-1344) - (3\/3)\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 2*c = 401, o + 2*c - 85 = 0. Calculate the highest common divisor of o and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (sqrt(1700) + sqrt(1700)*-3)*-5 + (sqrt(1700) - sqrt(1700)*-3*-2)))**2 + 3.\nAnswer: -10000*sqrt(17) + 1062903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/12 + 7*u**3\/6 - u**2 + 35*u. Let i be 78\/130*(-20)\/3. Give x(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2514249 is divided by 573.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(-2 + 3 + 2)*(-t**2 - t**2 + t**2).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404 divided by -101.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-195251 - 3*z**3 - 2*z + 195225 + 0*z**3).\nAnswer: 3*z**3 + 2*z + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 38 - 3*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*r**2 + 26 + 15 - 27*r**2 - 14*r + 4*r.\nAnswer: 42*r**2 - 10*r + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*3*1\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -28.07081.\nAnswer: 19.649567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, 285, 1465, 3761, 7545?\nAnswer: 13189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -332101 + 3?\nAnswer: -332065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7.6. Let u = 2\/53 + -7\/159. Let h = 167\/1272 + u. What is the second biggest value in 0.3, h, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Suppose 2 = 2*p, p - 831 = m*w + 240. Calculate the common denominator of -33\/20 and (w\/(-16))\/(6\/(-8)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxwnnnwnwnwwwgngg. What is prob of sequence gxww?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3095 and -48\/7.\nAnswer: 21665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s**2 - s**5 - 9*s**4 - 18*s**2 + 25*s**3 - 10*s - 14*s**3 = 0 for s.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18685 divided by -5\nAnswer: 3737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 32. Is 67 + 6 + (n - -1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*g - 0*g - 1, 0 = 4*g. What is the nearest to i in -2\/13, 4, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0455564 rounded to 4 dps?\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 55 + 39*j - 6*j.\nAnswer: 33*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-11))\/(((q*q**(-7)*q*q)\/q)\/q))\/((q*q*q\/q**(-20))\/q**(2\/9)))**6 assuming q is positive.\nAnswer: q**(-482\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26308 by -4.\nAnswer: 6577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d. Let q be t(-5). Suppose 161 = -3*x - 136. Let k = x + 1285\/13. Which is the third smallest value? (a) k (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-100)\/(-45))\/10. Let s be 7\/5 - 1\/1. Sort f, s, -4, -1 in descending order.\nAnswer: s, f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 1340\/50 - 1\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 14*w - 13*w - 24, 2*w - t = 48. Solve 4*m - w = 2*p, 12*m + 5*p = 17*m - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 955505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/25040 and 9\/5.\nAnswer: 25040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 5*v - 9493. Let f = v - 568. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f**2 + 2*f. Suppose -14 = -50*n + 326 + 10. Let v(o) = 3*o**3 + 21*o**2 + 7*o - 1. Determine n*d(r) - 2*v(r).\nAnswer: r**3 + 7*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1915\/3 - 272. Let n = g + -340. Let l = -26 + n. What is the nearest to l in -1\/7, -3\/8, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1053 - -1053.001568. What is r rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001001707 to 6 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**3 - 21*g**3 - 48*g**3.\nAnswer: -49*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843068 < 8843068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -941*n**2. Let a(m) = -98*m. Let y(s) = 19*s. Let w(u) = -a(u) - 5*y(u). Calculate w(i(g)).\nAnswer: -2823*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*n = 48, -3*n - n + 76 = -5*b. Let q = b - -15. Suppose -6*k - q*c + 105 = -k, 0 = 5*c. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -2. Let g be (3\/30 - 0)\/(1\/j). Let b = 0.2 - -0.3. What is the second smallest value in -6, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 735\/142 (b) -0.12 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6681420 - 6681427.500133. Let t = 7.5 + a. What is t rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*v**2 - 52*v**2 - 101*v**2 - 98*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 6*i - 270962, 0 = 5*i + 3*t - 343990 + 118191. What are the prime factors of i?\nAnswer: 5, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46 - 0) + 4*(7 + -6). Let p = u + 52. Calculate the smallest common multiple of p and 74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + 283167973\/(-1229844). Let f = 5\/15972 + n. Let l = 231 + f. Sort l, 1\/2, -3\/2.\nAnswer: -3\/2, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-21)\/(-6). Suppose -5*x - 9 = -4*m, 4*m - 4 = 3*x - 5. Let h = 596 - 586. Put h, x, d in decreasing order.\nAnswer: h, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34126*f + 0 + 2 + 1.\nAnswer: -34126*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*(s\/(s\/(s*s**(1\/2))))\/s)\/(s**(1\/4)\/((s\/(s\/(s**(-5)*s))*s)\/s)))**(2\/15) assuming s is positive.\nAnswer: s**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 270712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 - 300*o + 7371 = 0. Calculate o.\nAnswer: 27, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -451*l**2 - 9*l + 7. Let i be q(1). What are the prime factors of 2 - ((-5 - (-1 + -3)) + i)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16 - 11)\/(2\/6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -23*p + 56. Let o be r(3). Put 3, 0, o in ascending order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.65 + 1.081. Let k = z + -0.011. Let i = -0.5 - k. Round i to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:16 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13265 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -200754, -200755, -200756, -200757?\n\"Answer: -l - 200753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + z)*(2 + 4*z - 2)*((2 - 1 + 0)*(1 - 3 - 9) + (0 - 4 + 2)*(-1 - 1 + 1))*(-z**3 - 6 + 6).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046374 - 324088283.\nAnswer: -324088282.953626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - -1) + 1965 + -1963 + (-1 - 105).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 9 - (-27 - 1))*-1. Let p be (-322)\/h*1\/((-1)\/170). Let k = -222 - p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -114562 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1327\nAnswer: -132.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k - 4. Let j be a(-4). Let h = j + 77. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-68)*-128*(-4)\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-3 - 2\/(-2)). Suppose -d*g + 4*g - 368 = -3*r, 736 = -4*g - 5*r. Let k = -123 - g. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6355 - -2?\nAnswer: 6357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + -2*sqrt(1872)*2 - (-3*sqrt(156)\/sqrt(3) + sqrt(52))\/sqrt(4)*-3))**2.\nAnswer: 341172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12841 and 1.\nAnswer: 12841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 9*c**2 + 10*c**2 + 2*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 66 - 28*d - 2\/5*d**5 - 2*d**2 + 0*d**4 + 0*d**3. Differentiate j(p) with respect to p.\nAnswer: -8*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 734*k**2*v**3 + 5*k**2*v - 2*k**2 - 19*k*v + 155*v**3 - v**2 + 4*v + 2 wrt v?\nAnswer: 4404*k**2*v + 930*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -2*n**6\/3 - 2*n**3\/3 - 4. What is the third derivative of u(p) wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2178 - -4319218673.\nAnswer: 4319216495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = 28. Is 2 a factor of (q - -1)*(-17)\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*k*o*r**3 - 2*k*o*r**2 + 2*k*o*r + 8*o*r wrt r?\nAnswer: 150*k*o*r - 4*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.5 * -52.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-2 + sqrt(132))\/sqrt(12) - (1*sqrt(11) + 5) - (((3*sqrt(99) + sqrt(99))*1 - sqrt(99)) + sqrt(99) + sqrt(99))\/sqrt(9).\nAnswer: -7*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -236 - 2*a**3 - 2*a**2 + 14*a + 248 + 2*a**2 = 0. What is a?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a - 63*a + 197385 = 9*v, v = 8. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3633118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2480 and 59\/8680?\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.272 + 9.27207862. Round i to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmvm. What is prob of picking 1 v, 1 b, and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815779474?\nAnswer: 2, 61, 6686717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67420.96l in millilitres?\nAnswer: 67420960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = i + 4, -5*y - 4*i = 16. Suppose y = -d + 5 - 2. Suppose -2*m = d - 7. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Let g be (-1 - -3) + (9 - -2). Suppose b = -i + g - 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddw when four letters picked without replacement from wdwddwdwdwdwwddd?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 213 (b) 2\/3 (c) -1 (d) 1\/2 (e) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 33 = -0*d. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 115 = 4*v + 319, -v - 51 = 3*a. Suppose 6 = 3*p - 0. Find the common denominator of -49\/6 and v\/p - -3 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-15) + 0 + 70\/25. Let m(k) = k**3 + 3*k**2 - 4. Let q(h) = 4*h**2 - 5. What is d*m(t) - 2*q(t)?\nAnswer: 3*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18359874391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -5\/4, -15\/14, -28, -3?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:44 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*s - 8470 + 2902 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*3*(sqrt(77)*-3 - sqrt(77)))\/(((sqrt(175) - (sqrt(175)*-1 - sqrt(175))) + sqrt(175))*-2).\nAnswer: -4 - 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 + 522*g**3 + 1586*g**2 - 522*g - 1584 = 0. Calculate g.\nAnswer: -3, -1, 1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*k + k + 14*k + 20*k)*(60*k - 1256*k + 219*k) + k**2 + 5*k - 5*k as x + s*k + l*k**2 and give l.\nAnswer: -50803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -19*l - 1503. Let a be x(-79). Sort 63, 0, a, -1 in ascending order.\nAnswer: a, -1, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 0*j**3 + j**3 + j**3. Let p(l) be the second derivative of 3*l**5\/20 + 3*l**4\/4 + 2*l. Let y = -30374 + 30379. Give y*p(u) - 9*n(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12*(-34)\/(-816))\/(1\/(-1))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 8*r + 3. Let d(g) = 7*g**2 - 17*g + 5. Let v(h) = -2*d(h) + 5*f(h). Let p(u) = -17*u + 2 + 22*u - 6 - u**2. What is 5*p(n) + 4*v(n)?\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 + 412 - (52 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -758240*x**2 + 11*x - 53322495?\nAnswer: -1516480*x + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55996 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*f + 97*f - 128. What is the remainder when 1214 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301322013 (base 4) to base 12.\nAnswer: -505147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 13, -162, 7, 33, 4 in decreasing order.\nAnswer: 33, 13, 7, 4, 0, -1, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 8*h - 13*h. Suppose 0*p = -h*p + 20, a - 12 = -2*p. What is the third derivative of 10*y**4 + 4*y**a + 6*y - y**2 - 6*y wrt y?\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2886 and 3367?\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:20 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let z(t) = 8*t**2 + 4*t - 4. Let j be z(q). What is the remainder when 1 + -4 - j*(-1)\/1 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2961*r = 3327*r + 16104 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25374*k**5 + 3*k**2 + 7*k + 200?\nAnswer: -1522440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619127?\nAnswer: 113, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2 - -5003?\nAnswer: 50a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251694, -503389, -755084, -1006779, -1258474?\nAnswer: -1510169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/3))**(-21\/4)\/((i**4*i)\/(i*i**(1\/7)*i)) assuming i is positive.\nAnswer: i**(-325\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 436 - -243. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/96 + t**3\/24 + 3*t. Find g, given that v(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*g - 34 = 5*o, 3*o = -3*g - 24. Calculate the remainder when 18 is divided by 4\/(6\/3) - o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 187400656 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -2 - (2 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2366*r - 2359*r. Which is the nearest to -1? (a) -2\/45 (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.080188 - -1.08. Round j to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 56527 + 61653 = 0. What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11261099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8780*u + 8774*u + 12. Solve 3*q + u*v = 13, -q - 3 = v - 4*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/10)\/(22\/(-165)). Let y be 40\/4 - 2*-1. Suppose -2*w - y = -72. What is the highest common factor of t and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let z be o\/(-2) + 2\/4. Let h = z - -3. Solve f + 3*w = -2*f - 6, -3*f - 2*w = h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-10)\/(-45)*9) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 604 + -609. What is the smallest value in -7\/2, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 73*o**2 - 65*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 - 245.5. Let g = h - 40.2. What is the smallest value in -4, -3, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**3*s + 4*h**2*s + 200*s with respect to h.\nAnswer: 12*h**2*s + 8*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-3*r - 4*r + 2*r)*(-4 + 3 - 19).\nAnswer: -200*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 5:24 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/1323 and 94\/43953.\nAnswer: 395577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215 and 9761.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -148. What is the third derivative of -24*w**2 + 55*w**3 - 61*w**3 + w**b + 0*w**5 wrt w?\nAnswer: 60*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**3 + 3*s**2 - 3*s + 3. Let d(n) = 26*n**3 - 8*n**2 + 8*n - 8. Give -3*d(c) - 8*p(c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131147790 + 654502210 = 95*j. Round j to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10288667 at most as big as 10288669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 24 = 0. Suppose w + w + g = 0. Is w >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -215.2 + 215. Suppose -3*y + 3 = -0. What is the closest to y in n, 0, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 * -1\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.42176 times 0.4\nAnswer: -0.568704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -127*m**2 + m. Let r(j) = 11*j - 55360. Calculate r(i(v)).\nAnswer: -1397*v**2 + 11*v - 55360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/12 - 7)\/((-10)\/(-5)). Let f = -1.3 - -1.41. Let t = f - 2.71. What is the nearest to t in 0.3, 2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**7\/10080 + q**6\/1440 + q**5\/480 - q**4\/12 - 3*q. Let k(o) be the third derivative of b(o). Factor k(r).\nAnswer: (r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*y - 27 = 0, -4*y = -4*u + 48 - 0. Calculate the remainder when 5488 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**3*y**4 + n**3*y**3 + n**3 + 2*n*y**2 + 88*n*y + 247*y**4 + y wrt y.\nAnswer: 96*n**3*y + 6*n**3 + 5928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2616\/(-327) - ((-22)\/2 + 0). Suppose 0*t**q + 0 + 0*t + 2\/13*t**4 - 2\/13*t**2 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 3, s: 2, c: 1, w: 6, z: 1}. What is prob of sequence zw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2\/3*d**2 + 7 - 2\/9*d**3 + 0*d. Factor l(k).\nAnswer: -2*k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019571 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**6\/2 + b**4 + 21*b**3 + 35. Find the third derivative of q(m) wrt m.\nAnswer: -180*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 203*z - 614. Let g be k(3). Let a(v) = -72*v**2. Let w(f) = 29*f**2. Calculate g*a(s) - 12*w(s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 7183\/1026 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341338?\nAnswer: 2, 670669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 192*i - 188*i + 96 = 0, 4*y = -i - 47 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8025.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71261063 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:40 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3578 + -14311\/4. What is the second biggest value in 2, -57, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -40. Let r(c) = -19*c**3 - 2*c**2 + 1. Let h be r(-1). Suppose 17*x - h*x = -z. Solve -4*a + x = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150603\/50 - 3012. Find the common denominator of -61\/20 and u.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 3*w - n = 81, 4*w - 107 = -n + m*n. What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192624 (base 11) to base 10\nAnswer: -296234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o = -70*o + 137*o - 12. Let n = 0.16 - 1.36. Let b = 1 + n. Which is greater: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/516 - -25709\/6708. Calculate the common denominator of -43\/11 and w.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m**5\/25 - 3*m**4\/20 + m**3\/5 + 3*m**2\/10 - 7. What is r in s(r) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**12*j)\/j)*j)\/(j*j\/(j**19*j)*j*j) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(((-1)\/2)\/(-1)). Let d(q) be the first derivative of -q**2 - 2*q + 1. What is d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22757731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven halves of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -3) + 13 + -7 + 5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/11 + 190*m**2\/11 + 1750*m\/11 + 4250\/11 = 0. What is m?\nAnswer: -85, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(331*y**2 + 3*y - 2*y - 1437*y**2 - y).\nAnswer: 2212*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42327 is divided by 42198.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 592 - 346. What are the prime factors of x\/21 + (-2)\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10192 and 8372.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3596 divided by 899.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -52*g - 316. Let r be a(-6). What is the smallest value in -1\/3, r, 15, 1, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15 = -3*d, -6*d + 9*d - 25 = -4*h. Let b(t) = t**3 - 6*t**2 + 5*t + 5. Let i be b(5). Solve 0 = -o + 3*g - 5, 2*o + i*g + h = -0*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = y - 25 + 8, -42*i + 738 - 171 = -7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from {q: 3, n: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/24)\/((-44)\/99)*(-184)\/48.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3536 (base 9) to base 6\nAnswer: 20053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)*z*z**(-1\/10)*(z**(-2))**(-3\/44) assuming z is positive.\nAnswer: z**(-273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -37*g**3 + g + 1. Calculate the remainder when f(-1) is divided by 5*7\/(-140) + (-162)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*n - 15, -3*c + 8*c = 5*n + 75. Let q be (-5)\/(-2)*n\/5. Let k be -2100 + 1 - (6 + q). Round k to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 9*f**2 + 0 + 1\/6*f**4 + 2*f**3 + f. Find g, given that n(g) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*d*m**4 + 34464*d + m**4 - 148*m wrt m.\nAnswer: -76*d*m**3 + 4*m**3 - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 11*k + 173. Let o be r(-20). Sort 3, -5, 21, -3, o.\nAnswer: o, -5, -3, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 - 1\/30*g**4 - g + 0*g**2 - 2\/15*g**3. Factor l(a).\nAnswer: -2*a*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -839530*u**5 + 300*u**2 - 100*u wrt u?\nAnswer: -50371800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - (-152)\/56. Suppose x + 65 = y*b - 17, x + 26 = b. Suppose c + 2*o - o = b, -3*c + 84 = -o. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - (-4 - -2)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2700 and 54300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*k**2*m**2 - 2*k*m**2 + 138*k*m wrt k?\nAnswer: -182*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6656184 + 6576925.01. Let u = w + 78900. Let i = u - -362. What is i rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: (376\/22 - (156 + -143)) + -1 + -3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 55*q - 598. What is the greatest common divisor of q and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/10)\/(p*p*p**(-3\/4)*p*p))**(-25) assuming p is positive.\nAnswer: p**(355\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 80.6323 times -18\nAnswer: -1451.3814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 3*a**2 + 4*a + 2. Let d be w(4). Let o = -28 + 28. Solve d*y - 12 + 2 = o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5*0.2.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-23)\/(x**(2\/5)*x**(-5)) assuming x is positive.\nAnswer: x**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -9. Let k be ((-1)\/a)\/((-2)\/(-10)). What is the fourth smallest value in k, 3, -2, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417133.08 rounded to the nearest one hundred thousand?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*m = 225*m + 3*v - 150365, 2*v = -2*m + 150364. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 649 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*l - c, 9 = 4*l - 5*c - 56. Suppose -6*o = -o - l. Solve 0 = o*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 - 3*x**2)*(-3*x + 0*x - x) + (-x**2 - 1 + 1)*(3 + 3*x - 3) + 2*x**2 - 2*x**2 - x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.48524*0.4.\nAnswer: -0.194096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 45678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30447 (base 15) to base 10\nAnswer: 152842","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6256 is divided by 3103.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/3 - 25\/3 = 0. What is f?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9403 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z - 4*z**2 + 2*z**2 + 3*z**2 - z**3 + 4*z**2 in the form u*z + y*z**2 + s*z**3 + q and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 5. Let o be z(0). Suppose -h - 2*h + 170 = o*f, 153 = 4*f - h. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -u, 3*u = -x + 1 - 5. What is the remainder when 271 is divided by x + -4 + 7 + 54 + -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1156949.64 minutes to weeks.\nAnswer: 114.77675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87436963.\nAnswer: 79, 359, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5641 - 5848. Which is bigger: -0.04 or i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*5\/6 - 3)*3. Let x(m) = 46*m**2 - 7*m + 6. Suppose 0 = -4*z - 17 + 49. What is the remainder when x(t) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13788675.94000021 - -13788559.94. Let k = -116 - t. Round k to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/40)\/(33\/(-22)))\/((-4)\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -164630 divided by -32926\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**5\/10 + 5*s**4\/8 - s**3\/2 - 5*s**2\/4 + 2*s + 12. Let o(w) = 0. Calculate w.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jls when three letters picked without replacement from lllljsssjsjs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2675 and 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10233 or -217?\nAnswer: -10233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 96.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259633966708.1859503 - -259634070374. Let a = h - 103675.324. Let c = -9.51 - a. Round c to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -18*s**2 + 5. Let b(a) = 17*a**2 - 5. Calculate 6*b(p) + 5*z(p).\nAnswer: 12*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -917884*q**2 + 11*q**3 - 2 + 917884*q**2.\nAnswer: 11*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/((-830)\/332).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -107 - 5b703?\nAnswer: -5b80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*p**4 + 116*p**2 + 169*p - 145?\nAnswer: -156*p**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219687 = 5527*y + 106*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**3 + i + 3. Does 28 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.7. Let h be (1 - (1 - 0))\/(-1). Let d = -8.37 + 5.37. Which is the third biggest value? (a) w (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3675033.95 and -0.2.\nAnswer: -3675034.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12990 divided by -6?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 7*f = -5800 + 136024. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -173*r - 4996. Let d be m(-29). Put 3, d, -75 in increasing order.\nAnswer: -75, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4 + 1 + -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 71308507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 443870.115 and -1.8?\nAnswer: 443871.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9262230 = -2182198. Suppose 18*q - 14*q - 4*v = 4720016, 4*v = 3*q - s. Round q to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 807*h - 78456. What is y(97)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -100, -208, -346, -520, -736, -1000?\n\"Answer: -l**3 - 9*l**2 - 74*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 684\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 4. Let q = -1 + 1. Let z = 10 - q. Calculate the highest common factor of y and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -23*l - 14. Let c(h) = 8*h + 5. Let p(f) = -f**3 - 4*f**2 + 4*f + 12. Let x be p(-5). Determine x*c(v) + 6*k(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18267, -22059, -25851, -29643?\nAnswer: -33435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -4306525?\nAnswer: 61\/4306525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20 and -89\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from bzllxah.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94\/24 + 91\/1092. Let y(w) = -w**3 + 5*w**2 - 9. Determine y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 4, -1, -5.\nAnswer: -53, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 97\/(-21)) + 9\/(-27).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(52)\/sqrt(36).\nAnswer: -1 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*g - 26*g + 43*g)*(-4 + 0 + 2)*((2*g + g - g)*(-2*g - 2*g + 3*g) + 0*g**2 - g**2 + 2*g**2).\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**46*o*o)\/o**(7\/5) assuming o is positive.\nAnswer: o**(238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 66, 197, 452, 873, 1502, 2381?\n\"Answer: 7*p**3 - p**2 + 3*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16974 - 38591 = 730*x + 2835 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 19398232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 712.1954mm?\nAnswer: 0.0007121954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/11 + 84*o**3\/11 - 794*o**2\/11 - 168*o - 88.\nAnswer: -2*(o - 22)**2*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3502639 + 7005292 + 135*q - 3502653.\nAnswer: 135*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*k**2 - 5)*(7 - 5 + k**2 - 5*k**2).\nAnswer: 16*k**4 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d**2 - 407*d + 35140. Give y(33).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791076 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -150, 7, -116 in decreasing order.\nAnswer: 26, 7, -116, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Let c(r) = 9*r - 14. Let x be c(5). Suppose 5*g = 2*k - 4*k + x, 4*g = -i*k + 22. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1647 = 3*h + 618, 0 = 4*l + 5*h - 3047. What are the prime factors of l?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(-3*i + i + 0*i) + 4*i - 4*i + 2*i)*(3 - 4 + 8)*(-4*i + 5*i - 3*i).\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 528000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -z + 3 - 13, -5 = -o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 minus 173039518?\nAnswer: -173039410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 13*m - 2. Let l be z(13). Let q = 0.05 - -1.95. Which is the nearest to -1\/4? (a) -0.2 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 621 + -617. Suppose 6*g + q + 226400003 = 10*g, -j*g - 4*q + 226399988 = 0. What is g rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - 4620\/(-42) - (-562)\/(-40).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvk when three letters picked without replacement from {k: 1, o: 1, m: 2, v: 6, j: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 9. Let g be d(-3). Suppose 3*x + 25 = -5*a, 0 = 4*x + 7*a - g*a + 20. Is 2 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373.94774 + -374.32. Round r to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 3*f + 14 = 0, 0 = 3*b + 4*f + 2. Suppose m - 25 = -4*m + b*h, -17 = -m - 2*h. What is the remainder when 212\/8 - (-3)\/(-2) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 15*w - 32. Let f be d(-17). Let v be 0*(-2)\/(-8)*2. Let g(o) = -o**3 - 16*o**2 - 13*o + 40. Let a be g(-15). Solve -2*n - f + a = v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425446 (base 7) to base 10\nAnswer: -73975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*p - 2*i - 25, 2*p - 10 = -2*i. Suppose -4*z = 5*d - 46, -5*d = -p - 4. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 9, n: 4}. What is prob of sequence nnqj?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1006167ml in litres?\nAnswer: 0.0001006167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**3\/3 + 3*i**2\/2 + 3*i + 26. Let z be n(0). Solve 4*g - f = z - 21, -2*g + 5*f = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3413, 6829, 10245?\nAnswer: 13661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*c - 2*j + 3*j + 21, 7*j = -7 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -83470 at least as big as -83469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*c + 11 = -192*c + 3*n, -5*c + 4*n = 15. Solve 0 = t - c - 1, -b + t = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 18*g - 34. Let v be b(-18). Let o = 39 + v. Let c be -1*o*(-4)\/4. Sort -4, -2, c, -1 in ascending order.\nAnswer: -4, -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526656 is divided by 1492?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 56 + -4 + 0 + 1. Let p be m\/5 + 2 + -3. Let x(k) = -2*k**2 + 20*k + 4. Let a be x(p). Solve -a*t - 10 = -5*s - 5*t, 8 = 3*s + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g = 54*g - 114 - 30 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -6 + (0 - 2). Let s(f) = 2*f**2 + 3*f - 15. List the prime factors of s(r).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*i - 35 - 66, -5*i = -5*g - 555. Let v = g + 582\/5. Suppose 2*o - o + 5 = 4*r, -4 = 3*o - r. Is v less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5397*k + 4969972. What is j(-1178)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23*q**3 + 0 + 2 - 21*q**3 + 2*q. Let p(s) be the first derivative of 3*s**4\/2 + 7*s**2\/2 + 7*s - 3. Give -7*c(l) + 2*p(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.396 + -0.024. Let v = -0.12 - l. Let s be (2 + -1 + -1)\/(-1). What is the closest to s in -2, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 6891783?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3636 + 35?\nAnswer: -3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 57*r**2 - 89*r + 389. What is c(5)?\nAnswer: 1369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(10\/(-4))\/(-1). Let y = 23 - w. Let t be 0\/2 + (-2 - y). Solve -b - 2 = -t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 9. Let g(d) = 1. Calculate -3*g(u) + q(u).\nAnswer: u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861 + 912 = -3*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9819\/2? (a) -4\/5 (b) -1\/5 (c) 2\/403 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/17))**(3\/8)*(m*m\/m**11)**(2\/173) assuming m is positive.\nAnswer: m**(-705\/11764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 92 divided by 6\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 3*v + 3. Let r(i) = -i - 10. Let u be r(-7). Let p(k) = 6*k**2 - 4*k + 4. Let x(g) = u*p(g) + 4*a(g). Let l(m) = -9*m. Give l(x(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - 3*t**2 + 5*t - 5. Let h be o(2). Suppose 0 = h*x - 30*x + 3335. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 + 365 = 27*u + 58*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 860952*a**2. Let f(i) = -12*i. Determine c(f(r)).\nAnswer: 123977088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 8, s - 3*a - 2 = 5. What is the remainder when 147 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5. What is the units digit of k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nwnwinkiknk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/210)\/((-15)\/(-70)*-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 1, h: 1, w: 3, e: 5}. Give prob of picking 1 h and 1 e.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-14)*1 - (-75)\/(-13)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675710.9 centuries to months.\nAnswer: 810853080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.3093 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1442857 - -0.3\nAnswer: 1442857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2013.2 - -1905.7. Which is greater: 0.3 or l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183 - -183.00000516. Round p to seven dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/220 + -21\/220. Let n = 9.1 - 8.5. Is n at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 8*o - 10. Suppose 3*m = o*m. Suppose m = -3*i - 3 + 18. Solve 1 = -i*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24147523, -24147505, -24147475, -24147433, -24147379, -24147313, -24147235?\n\"Answer: 6*z**2 - 24147529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 9. Let f = -35 + 28. Let a(h) be the third derivative of -h**4\/24 - 2*h**3\/3 + h**2. Determine f*a(u) + 3*j(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -253009*f**5\/2 - 761039*f**4 - 1530134*f**3 - 1036228*f**2 - 16192*f - 64 = 0.\nAnswer: -2, -4\/503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-278)\/417)\/(((-84)\/9)\/(-2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7242*g = 269203 - 22063 + 165654 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -70, -187, -414, -787, -1342, -2115, -3142?\nAnswer: -4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -12*t**2 + 8*t - 2. Let z(v) = -2*v**2 + 3*v - 1. Determine r(f) - 5*z(f).\nAnswer: -2*f**2 - 7*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -358806\/11?\nAnswer: -358806\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/65, -1 in decreasing order.\nAnswer: 2\/9, -2\/65, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464724 is divided by 464535?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 426*s**2 - 13*s - 21. Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 120. Determine f(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17584 and 84?\nAnswer: 52752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 168370036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 20 = 2*y. Let z(m) = -m**3 + 17*m**2 + 17*m + 20. Let x be z(18). Solve 4*f + 2 + x = 4*c, 0 = -y*f - 4*c + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 57. Let i = 1093 + -1088. Which is the closest to 1\/3? (a) 0 (b) i (c) -1\/4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 - n - 167. Let u(v) = v**3 - 3*v**2 + v + 178. Let t(m) = 16*a(m) + 15*u(m). Determine t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 18 + 18.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227355 is divided by 224?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.45682 minutes to hours.\nAnswer: 4.040947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 42*x**2 + 6*x + 4. Suppose 0 = a - 1, 0*y + 4*y + a = -31. Let s be m(y). Find the common denominator of -46\/9 and (-8)\/(-10) + s\/120.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 142. Suppose 2*i = 3*i + 4*h - k, 0 = -2*i + h + 151. Calculate the greatest common divisor of 30 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4648.315ml to litres.\nAnswer: 4.648315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jjhehechhjejejhce.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -580.99999912 - -581. Round o to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -33, -45, -75, -129?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -11 - (-35)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 40. Let w = -13 - -33. Suppose -q - w = -6*q. Solve 2*x - t + q = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*p + 2289 = 0, 62*t = 58*t - 4*p + 9216. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 714102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -197 and 285 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0\/c*c**(-4\/7))**32\/((c*c*c*c**(-2)\/c*c)\/(c*c**1*c))**(-2\/51) assuming c is positive.\nAnswer: c**(-6556\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14247, -14246, -14245?\nAnswer: -14244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 24*i**2 - 25*i + 7. Give x(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 1588 = 2*q. Suppose 0 = -5*h - 7487 + q. Let v = h - -2899. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804571723?\nAnswer: 804571723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*t**2 + 26*t**2 - 3*t**4 + 50*t - 47*t**2 wrt t?\nAnswer: -36*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2\/2 + 5*i - 7. Give h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 117. Let g be ((-108)\/j)\/(6\/(-16)). Let y(o) = -g*o + 15*o - 7*o + 6. What is y(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6369 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 406928?\nAnswer: 2034640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 16 = n, -2*n + 26 = 3*n + 3*l. Let r(b) = b**2 - 4*b - 18. Let a be r(n). Solve -a*v = 6, -q = -5*q - 3*v - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/2211*12\/90?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.013, 0.5, 9?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -304\nAnswer: -6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 615.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 135*j + 1347. Give r(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -151 and -0.02.\nAnswer: -151.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d + 6174. Does 205 divide k(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6149\/4 + 6671669\/4340. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6991 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -80?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:27 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -167143?\nAnswer: 167157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1579, -7, -19, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/5022 and 77\/248.\nAnswer: 20088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - 4 - 3*k - k**3 + 0*k**3 - k as d*k**3 + y*k**2 + v*k + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b - 9 = -3*a, -3*a - 4*b + 9 = 0. Calculate the least common multiple of a and 20\/3 + 8\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1133147066 - 13618444445\/12. Let u = r + 1715391. Let g = u - -7920. Find the common denominator of -111\/10 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 1123 - 5177 = 0. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.127306+0.4\nAnswer: -19.727306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:11 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/28)\/(-10*23\/368).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -24937?\nAnswer: 17455.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10234 or 8437?\nAnswer: 10234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3 - 64 = 73*w + 168, -4*w - 13 = -2*u + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**7\/70 - 791*g**6\/40 + 59*g**4\/24 - 13*g**3\/2 + 3*g**2 - 842. Find the second derivative of k(x) wrt x.\nAnswer: -36*x**2 - 14238*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**44*t)\/t)\/t**(-18\/5) assuming t is positive.\nAnswer: t**(238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504*u**3 + 22*u + 6.\nAnswer: 3024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*k - 1685 + 1694 = 0, 3*w - 5*k + 14 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-11*8\/(-11))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 39*m**2 + 3 + 40*m**2 - m**2.\nAnswer: -6*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 38689?\nAnswer: -38693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 24 = -16*p. Suppose 0 = -2*s - 6*s + p. Suppose -5*v = 15, -k = -3*k - s*v + 291. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4)*(2\/4)\/((-230)\/(-736)). Put w, 1895, -5, -0.3 in increasing order.\nAnswer: -5, w, -0.3, 1895","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -38437690*k - 16410. Let y(d) = -16396*d - 7. Give 16410*y(m) - 7*z(m).\nAnswer: 5470*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*m - 2, -5*m = -m - 4*q + 8. Suppose 264 = 4*a - m*j - 64, 4*a - 2*j = 324. Let i = a + -50. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 1 + 4*f**2 - 9*f**2 + 2 + 6751*f.\nAnswer: -3*f**2 + 6751*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12)\/(r*(r*r\/(r*r**8\/r))\/r*r*r)*(r*r*r*r*r*r**(-6)*r)**(-19\/4) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 68 - 0\/(1 - 4).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 703148452 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/10))**44\/(p*p**(-6\/11)*p*p**(-6\/19)) assuming p is positive.\nAnswer: p**(12604\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r = 56*r + 8*r - 810 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = -v + 6*v, 0 = -4*v - 4*d + 4. Suppose v = -w - w + 6. Solve -k + 12 = 5*q - 8, 4*k + w*q - 12 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/42 + 449*o**3\/21 - 5*o - 1149. Factor r(s).\nAnswer: 2*s*(s + 449)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8258068, 8258066, 8258060, 8258050, 8258036, 8258018?\n\"Answer: -2*z**2 + 4*z + 8258066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15807, -15806, -15805, -15804?\n\"Answer: y - 15808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121027.\nAnswer: 37, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 - 0.1. Let y = -2.4019 + d. What is y rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:37 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 930 - 82. What is the units digit of 4\/(0 - (-2)\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/(-15)*2\/((-24)\/20)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 8, d: 4, w: 2}. Give prob of picking 2 l and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169920 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpjepezzi. Give prob of picking 1 j and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3025096, -0.03, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, -91, 0, 7, 3 in descending order.\nAnswer: 11, 8, 7, 3, 0, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7288*i*v - v + 1411 with respect to i.\nAnswer: 7288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6121 + -6145. Is n less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) -33170\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -30612, 1, 14 in descending order.\nAnswer: 14, 1, -30612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 228.29989 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51532*z = -51527*z + 45 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u + 10. Let p be q(10). Suppose 28 + p = 6*h. What is the greatest common divisor of h and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 12 + 58 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 8*b - 125*b**2 - 14 - 14 - 19 to z*b**2 + f + x*b and give z.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1847819*j**2*x**3 - 106*j*x**3 - j*x - 440*j - 2*x**2 + 1 wrt j.\nAnswer: -3695638*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60614768, 60614769, 60614770, 60614771?\n\"Answer: k + 60614767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.249 rounded to the nearest integer?\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2 - 128. Let j(i) be the third derivative of i**4\/6 + i**2. Give j(r(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1562781819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10235409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/((-2)\/9). Suppose h*v + 2*y = 6*y + 8, 0 = -2*v - 2*y - 4. Suppose 0 = -0*j - 3*j - 5*n - 12, n = -3. Does j = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9 + 16\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61138.43mm in kilometers?\nAnswer: 0.06113843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -158*u + 3633. Give v(24).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5695 - 5696. Is h at least -3277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t**2 - 9*t - 14. Let z(g) = -10*g**2 + 4*g + 8. Let m(y) = 3*c(y) + 5*z(y). Let q(r) = 3*r**2 - 2*r - 1. Determine 2*m(a) - 7*q(a).\nAnswer: -a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (32201 - 2)*(-84 - -85) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {r: 5, s: 1, h: 5, x: 4, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 17*a + 6*a + 12*a**2 + 4*a**3 - 1 - 23*a to g*a + f + p*a**3 + u*a**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 q when four letters picked without replacement from iqtatqqajqqnatj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 83877 (base 10) to base 4\nAnswer: 110132211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 1\/4 (b) -40 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5\/2 + 88689*u**4\/2 + 655611249*u**3\/2 + 1966301643*u**2\/2 + 983062140*u + 327672600.\nAnswer: 3*(u + 1)**3*(u + 14780)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7731*t**2 - t - 1. Let v be s(5). Let u = -899851 - 33418. Let g = v + u. What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**4\/12 - 14*d**3\/3 - 10*d. What is the remainder when 35 is divided by m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4 - 14\/4. Let j be 1*(o - -2 - -1). Solve t = j - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22308711 and 1.202?\nAnswer: 22308712.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -421, -402, -365, -304?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/6 - 2*x**2\/3 - 2*x\/3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 227807 rounded to the nearest one thousand?\nAnswer: 228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -1\/3*o**3 + 0 - 1\/2*o**2 - 10*o + 1\/12*o**4. Let h(r) = 2*r**2 - 3*r - 1. Determine 6*f(q) - 4*h(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(7425\/(-190))*1\/(-2). Let n(i) be the second derivative of 1\/33*i**7 + i - 1\/66*i**4 + 0*i**2 - t*i**6 - 2\/33*i**3 + 0 + 3\/22*i**5. Factor n(l).\nAnswer: 2*l*(l - 1)**3*(7*l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -833*n**3 - 3 + 1212*n**4 + 7 - 2374*n**4 - n**2 + 85*n + 1164*n**4 wrt n?\nAnswer: 24*n**2 - 4998*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210284 is divided by 18015?\nAnswer: 12119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105982618 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 12*l**2 + 8*l + 21. Let u be h(9). Suppose -u = -z - 3*z. Is ((-52)\/16)\/((-3)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*s**2 - 178*s?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - m - 57 - 53 = 0, 3*m = -4*i + 164 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 15. Let r(p) = -p + 1. Let u be ((-150)\/(-10) - 13)*-1. Determine u*r(b) - t(b).\nAnswer: -b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8029, -1071 in descending order.\nAnswer: 8029, -2, -1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 129 (base 14) to base 4\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - 2*c**2 - 2*c. Let h(j) = -5*j**3 + 3*j**2 + 3*j + 1. Suppose 2*p - 4*p = 6. What is p*f(b) - 2*h(b)?\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 3*h - h + 3*h + (-2*h**2 + 4*h**2 + 7*h**2)*(h + h - h).\nAnswer: 8*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1394\/3 + 465. Let r be 28\/(-12) - ((-6)\/(-9) - 0). Which is the nearest to 0? (a) r (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + -60. What is the remainder when 196 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (12 - -1 - 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 197775 (base 11) to base 9\nAnswer: 511650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 40 = -21*f. Let d = 22 + f. Does 12 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5739048 divided by -28?\nAnswer: -204966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2 + 8768*m\/5 - 1514292\/5 = 0 for m.\nAnswer: -571, 663\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 2 + 3 + 7. Let z(p) = -5*p - 7. Let s be z(0). What is l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.9 - 6. Let u(t) = t**2 - 10*t + 19. Let g be u(6). Let y be (-4)\/g*4\/24. What is the nearest to -2\/7 in c, -5, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w - 2*w - 7 - 111*w**2 - 2*w. Let t be p(-6). Let l = 5706 + t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6499, -6406, -6313, -6220, -6127, -6034?\nAnswer: -5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*10\/10 - (-2 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (8 + 12 - -5)) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1475.2 - 1475. Let a = 47 - 97\/2. What is the third biggest value in -2\/7, -2\/25, z, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -384. Let h = g + 588. Calculate the highest common factor of 194 and h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 + 148*c - 14. Give r(-17).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/210*(-15)\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3acc16 (base 16) in base 14?\nAnswer: -7243c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -98\/83?\nAnswer: -98\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98439351 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 + 11*c + 36. Let a(l) = l**2 - 2*l - 7. Let s(h) = -11*a(h) - 2*r(h). Let d = -1 + 2. Let m(z) = d - 3 + 1. Determine -5*m(f) - s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -44590421?\nAnswer: 44590420.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 265, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = -u + 274 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/56601612?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1927646 and -83\/102?\nAnswer: 98309946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -544485 - 6?\nAnswer: -544502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 15*t = -71*t + 104. Put t, -1, -35, 5 in decreasing order.\nAnswer: 5, t, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5325 - 5304 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11441331 (base 5) in base 14?\nAnswer: 2b9d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*l = 16344, 2*j + 14*l = 18*l + 16368. Does 146 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*x + 12 = 0, -2*h - 4*x = -x + 8. Which is the smallest value? (a) h (b) 2.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) - 819\/(-1326). Suppose -3 = -g - 1. Do g and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15018, -29912, -44828, -59778, -74774, -89828?\n\"Answer: -2*f**3 + f**2 - 14883*f - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 1. Let l(t) = -11*t + 5. Let n(f) = l(f) + 5*v(f). Let p(x) = 2*x**2. What is n(p(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.12 + 9. Let l = 37.88 + -40. Let x = l - h. Which is the smallest value? (a) x (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.68715*4\nAnswer: -6.7486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572*u - 1568*u + 12*t - 28 = 0, -5*u = 3*t + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1964 (b) -4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = 2. Suppose -5*m = h*s - m - 24, -2*s = -4*m + 6. Determine v so that -v - v + v + s*v**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1 (b) 0.2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -38, -5, -6 in decreasing order.\nAnswer: 5, -4, -5, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -113*h + 10740. Determine v(95).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/73)*f*f)**(-1\/18) assuming f is positive.\nAnswer: f**(-8\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21420954 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -13*t + 15*t. Suppose 2*v - 18 = -5*u, -15*u + 20*u - 20 = 0. Put 4, v, -4, t in ascending order.\nAnswer: -4, v, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 1088.\nAnswer: 35904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1379 - -2962. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60037 divided by -15\nAnswer: 60037\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001110 (base 2) to base 13.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.009 (b) 1 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -54, -63, -56, -27?\n\"Answer: r**3 - r**2 - 23*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 260 = 8*d - 26*g, -33*d - 5*g = -38*d + 165 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 7*k. Let m(l) = -l**2 + 2*l. Let r(o) = -7*m(o) - 2*v(o). Let y(z) = -89*z**2 - 1. Calculate y(r(w)).\nAnswer: -89*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = 12*d - 208. Suppose 2*y + 4 = -10. Put d, 3, 5, y in decreasing order.\nAnswer: 5, 3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4710897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggig when four letters picked without replacement from {g: 6, i: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 5 + 6*v + 6*v + 7.\nAnswer: 12*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 8163 - 8071 = 2*t, -4*g - t + 73 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49.9 - -50. Which is the third smallest value? (a) h (b) 1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -144\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*n + 19, -4*h - 3*n + 1 = -5*h. Let d(o) = 9*o - h*o - 7*o. Let w(y) = -6*y. Calculate d(w(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 262.39434 to 1 dp.\nAnswer: 262.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 148*y + 704. Determine b(-8).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6604531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013a (base 15) to base 2.\nAnswer: 11000110010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 60*g**2 - 215*g + 150.\nAnswer: 5*(g - 2)*(g - 1)*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 33*i + 105*i - 282*i**3 - 30*i + 281*i**3. Let y(t) be the second derivative of t**3\/3 + t. Give y(g(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 2*h - 3*h**3 - 2 - h**3 + 4*h**2. What is the units digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.2 - -45.8. Round j to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 26*r - 9. Let l(y) = 12*y - 5. Let x(m) = 5*l(m) - 2*p(m). Let d be x(1). Are -2\/233 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*(0 + -379) + 14\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2. Let j(a) be the second derivative of -850*a**3\/3 - 22*a + 2. Calculate o(j(i)).\nAnswer: -5780000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jef. Give prob of picking 1 e and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 + 11*y**5 - 8*y**5 + (2*y**3 - 1 + 1)*(2*y**2 + 0*y**2 - 3*y**2).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 270*y + 267*y - 315 = -258, -2*q + 29 = 5*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32363 is divided by 77.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from {x: 1, p: 2, j: 2, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 14*j - 17*j - 65880, 5*j = -40. Calculate the greatest common factor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584540?\nAnswer: 2, 5, 11, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*t + 108 + 31, 4*z - 202 = -2*t. Let r = z + -65. Let n be (-2)\/(8\/r) + -4. Are n and 1\/48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 3623, 8267, 14799, 23219?\nAnswer: 33527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2036\/8277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 + 21378*s**3 - 6549006*s**2 + 487936870*s + 1002240756 = 0. What is s?\nAnswer: -10989, -2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -4*h**3\/3 - 7*h - 6. Find the first derivative of t(s) wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let b(m) be the second derivative of -m**3\/2 + 30*m**2 + 958*m. What is i(b(a))?\nAnswer: 3*a - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 127957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, -1\/3, -46 in increasing order.\nAnswer: -46, -4, -1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(1 - 1) - -4. Suppose -198 + 54 = b*x. Let k be (-14)\/(-35) + x\/(-10). Let y(z) = z**2 - 3*z - 5. Calculate y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -471, 0, 5 in descending order.\nAnswer: 5, 4, 0, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6065*z - 3050680. Give b(-503).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*h + 2*u, 2*h - 3*u = 6*h - 35. Suppose -18 = -h*x + 2*x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 2042?\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.1. Let y = 0 - z. Let p = -6\/37 - 13\/148. What is the closest to 0.1 in 1\/5, p, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p - 638. Determine b(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -502728 + -17?\nAnswer: -502745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v - v)*(-2 + 0 + 4)*(-3*v + 11*v**2 + 3*v) to c*v**2 + k*v**3 + w*v + s and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.24 + -0.24. Let v = -48 - -42. Let w = 8 + v. Which is the nearest to 0? (a) z (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614226559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 137620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213361108?\nAnswer: 2, 199, 251, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 48 - 1606952*v**3 + 1606753*v**3.\nAnswer: -199*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 5*s - 4, -o - s + 12 = 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 801064499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -88, -133, -160, -163, -136, -73, 32?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (48 - -49) + (-270 - -216)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.59 - 0.89. Let k = 0.1 + 0.2. Put p, -2\/5, k, 3 in descending order.\nAnswer: 3, k, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b + 20. Let j be (-120)\/(-50) - 4\/10. Let g(q) = -88*q + 0*q**j + 93*q + q**2. What is g(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 37*z - 329. Let p be (-13)\/143 + (-288)\/(-22) + -4. Let k be x(p). Solve -q - k*o + 7 = 0, 0 = -4*q + 4*o - 0*o - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 4:40 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12971502 to four decimal places.\nAnswer: -0.1297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 6 + 23)*(u**3 + u**3 - 6*u**3 + u**3 - 4*u**3 + u**3 + (u**2 + u**2 + 0*u**2)*(-u - 2*u + 2*u)) to y*u**2 + w*u**3 + z*u + a and give w.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*-5*((sqrt(252)*1*5 + sqrt(252))**2 + 1).\nAnswer: 272195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4361983760 to the nearest integer?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4691300 to the nearest ten thousand.\nAnswer: -4690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 2993555013?\nAnswer: -2993555020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12*-1)\/4)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 6}. What is prob of sequence nmmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 2*d - 1. Let n be b(1). Let a = n + 0. Suppose -42 = -a*j + 3. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*l = 2*u + 2, -10 = -4*u - 2*l. What is the greatest common factor of u and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260873 is divided by 37204?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -406258699*g**2 + 221515032*g wrt g?\nAnswer: -812517398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0, -68\/5, 1 in increasing order.\nAnswer: -68\/5, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*k = k + 6, 5*u = 2*k + 24. Suppose 6*b = -u*r + b + 28, 5*r = 4*b - 6. Let j be (r + -1)*(4 + -93). Is j at most as big as -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300744923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1171 - 4?\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 2*z**5 - 2*z**3 + (-z - 2*z + 2*z)*(z**4 + 4 - 4) + 9*z**5 - 14*z**5 + 45*z**5 + (-3*z + 2*z - z)*(-943*z + 943*z - 39*z**4).\nAnswer: 115*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-27))\/((-11480)\/4428)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1317*(4 + -3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-5)**2 - (sqrt(108) + -1)) + 4 + sqrt(3) + -1 + -3.\nAnswer: -5*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 394 + -214. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7106206 to the nearest integer?\nAnswer: 2666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12673\/6 or -2113?\nAnswer: -12673\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434\/230301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6237.9 times -0.3?\nAnswer: -1871.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 1)*(0*b**5 + 2*b**5 + 0*b**5) + 0*b**5 + 13*b**5 + 15*b**5.\nAnswer: 38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1741588.8 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:33 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -37, 68, 215, 404, 635, 908?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Solve f - 2*f**3 + m*f - 3*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1836 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -5*u**4\/12 - 25*u**3\/3 - 60*u**2 + 62*u. What is d in p(d) = 0?\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 56. What is the least common multiple of p and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6824 divided by -11?\nAnswer: 6824\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 336 + -334. Let w(g) = 13*g**2 - 3*g**r - 6*g**2. Let k(q) = 6 - 6 + 6*q**2. Give k(w(o)).\nAnswer: 96*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Let o = 15 + -12. Solve -16 = -4*w + o*y, w + 2*w + 2*y - 12 = t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 70. Let r be ((-1)\/2)\/(10\/(-40)). Let i(c) = r*c**2 + 68 - 68 - 3*c**2. Calculate j(i(z)).\nAnswer: -2*z**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 364?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -0.4, 26?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(13) + -2 + sqrt(13) + 4*sqrt(26)\/sqrt(2))*-6*3)**2 - -4*-3*(0 + sqrt(1872) + 2)**2.\nAnswer: -4464*sqrt(13) + 16692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25608, 51620, 77632, 103644?\nAnswer: 129656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6027 - 2524. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/3 + 366*q**3 + 134320*q**2 + 49826150*q\/3 + 48627125 = 0.\nAnswer: -365, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 225680 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 11970?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.07932006.\nAnswer: 0.23796018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 + 1833*o - 7284 = 0.\nAnswer: 4, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/5 - 16*y**3\/5 - 16*y**2\/5 + 64*y\/5.\nAnswer: 4*y*(y - 4)*(y - 2)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -5, -1\/9, 0.4, 1\/25?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 - 3*q + 5. Let r(o) = -7*o - 1. Let d be r(-1). Suppose -10*v = d - 26. Let t be g(v). Solve 0*n - 12 = -t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 + 6*f + 20. Is v(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (87702\/(-9))\/((-38)\/57) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8408\/60 + (-6)\/135*3. Suppose 2*r = w - 50, 3*w - r = 3*r + j. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 3. Let k(n) = 1 - 9*n - 3*n + 14*n - 3*n. Let o be 4\/6*30\/(-4). What is o*k(v) - 2*c(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26592 and 72.\nAnswer: 79776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-14) - (-3)\/7. Suppose -48*m + 53*m + 9800 = s. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1322908 divided by -330727\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - 96\/(-40)*-5. Sort 22, -2, v, 1 in decreasing order.\nAnswer: 22, v, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395 - -395.0000002405. What is x rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqcqv. Give prob of picking 2 q and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-180)\/70)\/9)\/((-2)\/14). Let w be (-21)\/(-28)*(-24)\/(-9). Let g(p) = 14*p**2 - m*p + 2*p - 8*p**w. Let v(k) = 3*k. Calculate v(g(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1126011 nanograms?\nAnswer: 0.0000001126011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-14))\/((-3)\/(-2)). Let z = 130.5 - 12.5. Let s = z - 123. Put 8, s, b, -4 in decreasing order.\nAnswer: 8, b, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/4, 0, 0.4, 729\/2, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-387)\/(-15)*(114\/(-72) + (-1469)\/(-452))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 50. Let f be j(16). Let k(g) = -f*g + 3*g - 3*g. Let p(o) = 72*o**2. Give p(k(z)).\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (246*y - 116*y - 121*y + 24)*((0*y + 0*y - 2*y)*(-2 + 4 - 1) + 3*y + 4*y - 6*y).\nAnswer: -9*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4130 - 5134 - 530 = 0. What are the prime factors of u?\nAnswer: 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16870\/(-3615))\/(1\/6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110001111010100111110 - -1001?\nAnswer: -1100110001111010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166582.004 - 166834.0039897. Let o = 252 + q. What is o rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -8. Suppose 67 = x - 0*b - 2*b, -j*x + 5*b + 138 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p. Let m(v) = 4503991*v. Calculate l(m(j)).\nAnswer: -27023946*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 13. Determine h(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 1. Suppose -7 = o - 3. Let d be p(o). Let k be 2\/(-8) - d\/(-4). Let b(q) = 4*q**3 + 3. Let j(i) = 3*i**3 + 2. Determine k*b(f) - 6*j(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404871199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2762 + 529 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 78\/5 (b) 9 (c) 4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.97893 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/65 and 67\/109252.\nAnswer: 546260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14617 - 14617.00015667. What is s rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*m + 4*v = 515*m, -m = -2*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 5:29 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, y: 1, p: 2, w: 1, q: 2, d: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w + 8. Let q be 3 - (-2)\/(2\/17). Suppose -2*g - 2 = -q. Let h be (-3 - (g - 3)) + 3. Give r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Let y be 35*3\/((-15)\/(-4)). Suppose b*a = 5*a + 4*h - y, a - 4 = 3*h. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksvjqvr. Give prob of picking 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 9*r - 128. What is the highest common factor of 36 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/146?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32625?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*h*k**2*v + 320*b**3*h*v + 2*b**3*v + 3*b**2*h*k**2*v + 3*b**2*h*k*v + 4*b**2*k**2*v + h*k**2*v + 3*k*v wrt b?\nAnswer: 12*h*k**2*v + 1920*h*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.5, -690, -1\/6, -0.04, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5486 = -378*a + 23252. What is the third smallest value in 3, a, 0.5, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 463*b - 21. Does 34 divide j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1071\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 + 316*t + 320 = 0. Calculate t.\nAnswer: -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197659 and 65685.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 528899.2mm?\nAnswer: 528899200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1173 + 2101. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1135 and 26\/5?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 176276925.\nAnswer: 352553850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6903 = -12*c. Let w = -266 - c. Does 53 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 130. Which is the closest to -4? (a) 2\/7 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhyyhhhhhphyhh. What is prob of sequence pyyh?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 17 = 2. Let y = 7 - q. Solve y*z - 2 = -8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 0.04494?\nAnswer: -0.040446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:44 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*c**3*o**2 - c**3*o*p**2 - 2*c*o*p**2 + 2*c*p**2 + 17*c + 290*o**2*p**2 + 4*o*p wrt o?\nAnswer: -134*c**3 + 580*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12*1\/(-27))\/(4\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*f - 9. Suppose -4*g = -0*g - 64. Suppose -c + 3*s - 2 = 0, -4*c - 2*s + g = -c. Solve c*d + v = 9, -36 = -3*d - f*v - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840424 is divided by 613471.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 19. What is the units digit of (q + -2)\/((-3)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4.01. Let c = v - 3.01. Let h = 0.09 - 0.49. What is the nearest to 3 in -2, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2 + 0*i**2 + i + 3\/4*i**4 - 1\/3*i**3. What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262724 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256425931 to the nearest integer?\nAnswer: 16013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and 131\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330616*y**3 - 1776454*y**2 wrt y?\nAnswer: -1983696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359 divided by -2.\nAnswer: 359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1657, 1660, 1675, 1702, 1741, 1792?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 4508*p + 36173. Give g(8).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*r + 821*r = 489 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 302 divided by -151\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589028 is divided by 1122.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1512*m**2 + 420*m. Let w(j) = -50*j**2 + 14*j. Let f(v) = 3*o(v) - 91*w(v). Let b(p) = -35*p**2. Give f(b(a)).\nAnswer: 17150*a**4 + 490*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026151 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 m when three letters picked without replacement from bebzmmbmcbmbmb.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.6 + 7. Let y = -0.13 + -0.87. What is the second smallest value in y, 0.1, 3, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 15 + (4 - 10). Let g = -340 - -486. Suppose i - n = g. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -938 - -968. What is the remainder when ((-59)\/(-1))\/(4 - 3) is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2 - (-63)\/30). Let d be (50\/o)\/(2\/(-4)). Let z(r) = -3*r + 15*r**3 + 2*r + 21*r**3 - 37*r**3 + 4 - 5*r**2. Determine z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 - 8*i - 6. Is b(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*c = -5, 2*g - 4*c = 4*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171 - 115) + 408\/(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49099 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j - 5*z + 15367 = -104*j, 3*z = -3*j + 11526. What is the least common multiple of 21 and j?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Which is the nearest to 0.4? (a) -1\/2 (b) -2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100011011101110011111 (base 2) in base 4?\nAnswer: 130123232133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-4))\/(5 + -2). Let d be (-1)\/3 + 20\/24. Let r be 2\/((-2)\/(-7) + 120\/(-28)). Sort r, y, d in decreasing order.\nAnswer: d, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*2 - -5. Suppose -30*p + 88 = -8*p. Suppose p*j + u = 24. What is the remainder when 19 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wflefwes. What is prob of sequence es?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41066910 is divided by 164.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let x = 38 + -344\/9. Which is the second biggest value? (a) 0.1 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 - 6*a**2 - 6*a - 6. Let k(c) = 2*c**2 - c - 7. Let p(q) = -q**2 + q + 5. Let j(u) = 2*k(u) + 3*p(u). What is 6*j(m) + n(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1. Let r = 7 + -13. Let o be (4 + r)\/(2\/(-122)). Suppose -5*v - 3*i = -o, -v + 0*v + 6 = -4*i. Let p(y) = -y - 11. Give v*k(n) - 2*p(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 119, 121, 185, 353, 667?\n\"Answer: 7*y**3 - 11*y**2 - 14*y + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*k - 0*m + 16, 4*m = k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85057 + 492780. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)**21\/((g*g\/(g*g\/g**(-1)))\/g)**(-2\/67))\/((g\/g**0)**16*(g**(-5)*g)\/(((g\/g**(1\/10))\/g*g)\/g)) assuming g is positive.\nAnswer: g**(19993\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245473, -245474, -245471, -245464?\nAnswer: -245453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - m)*(-m**2 + 4 - 4 + (4 - 3 - 3)*(0*m**2 - m**2 + 2*m**2) + 14*m - 14*m - 6*m**2).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9160865*t - 9160840*t - 25 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 4, k: 2, l: 2}. Give prob of sequence kkt.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from mmddmddumuddqumddddd.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5633 = -3*h, -30*a = 3*h - 34*a - 5689. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 670*l**3\/3 + 21*l**2\/2 - 11*l + 635. Find the second derivative of i(o) wrt o.\nAnswer: 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m + 889. Is o(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 7. Let m be n(3). Suppose 4*b + m = 65. What is the highest common divisor of b and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -59. Solve -d + 1 = 0, -h*d + 7 = -r - 3*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -175 (b) -1 (c) -908 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4445785 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13105\/124678 + -1\/6562. Suppose 2*q = -z + 28, 0*z = -q - 3*z + 24. Let f be (q\/5)\/2 - 1. Which is the closest to f? (a) 2 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 149 = 5*l, 89 = 4*l + 85. Let g be (w\/15)\/((-10)\/(-75)). What is the highest common divisor of 222 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(6)\/sqrt(3)))\/(sqrt(96)\/sqrt(12)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 2*c**2 + 0*c**4 + 5*c**4 - 1 - 2 to r*c**2 + p*c**3 + o*c**4 + t + b*c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.4 + 39.19. Let r = s + -9.92. Let n = 0.13 + r. What is the closest to 1 in -0.3, 3\/2, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1001110011011011000?\nAnswer: -1001110011011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 3*w**2 - w + 2. Let u be h(-2). Let k be 3\/(-2)*u\/6. Suppose 25 = 5*f - k. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-24) - 47\/(-3). Let k = 18 - f. Differentiate 3 - 8*n**k + 16 - 11 wrt n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 = 2*t + 1, -5*t - 10 = 4*m. Let k(d) = d**3 - 2*d**2 + 3*d - 3. Give k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219459149 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 834169924*u**2 + 346584*u + 36.\nAnswer: 4*(14441*u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-993)\/18*-1 + (-46)\/276.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 24 - 4 = -3*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -6*g + 3203. Let x = g + -339. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41729 + 6435*k + 41729 - 6407*k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, a: 1, t: 1, k: 2}. Give prob of sequence tawk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -16, -15, -6, 17?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 20*r**2 - 35*r + 10. Let g be o(-14). Let a = g + -992. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {p: 1, b: 10, m: 3, t: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 13*t + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*sqrt(275) + 0)*1)**2 + (5*(sqrt(275) + sqrt(275)*-1))**2 + 4).\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1148?\nAnswer: 229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -41, -4, -2, 0 in decreasing order.\nAnswer: 23, 0, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-33))\/(((-60)\/(-16))\/(3\/4))*190?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 719 + -642. Let u = -960.7 + 884. Let d = u + x. What is the nearest to 3\/4 in d, 3, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(2\/36)\/(2577\/1507545)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695905683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19596 = -213*u - 639*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 63. Calculate the remainder when w(28) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-22)*44\/1375 + (-1623)\/25.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/22 in -2.2, 3\/17, -2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, p: 1}. What is prob of picking 4 d?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -1\/4 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 455153 + -455718.929. Let r = i + 561.9. Let z = -0.029 - r. What is the nearest to 2 in -2, -1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/4)\/r)*r**(-3\/8))**(1\/40)\/((r**1)**(-25)\/(((r\/(r**6*r))\/r)\/r*r**3)) assuming r is positive.\nAnswer: r**(1283\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -32*y**7\/105 + 2*y**6\/15 + y**4\/2 - 38*y**3 + 28*y**2 + 8*y + 2. What is the second derivative of m(u) wrt u?\nAnswer: -768*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {e: 11, i: 1, f: 1, g: 3, o: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 12. Let l(p) = 7*p - 63. Let z(f) = l(f) - 5*s(f). Let b be (-3)\/(-9) - 17\/(-3). Give z(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314b26 (base 13) in base 4?\nAnswer: -112303330120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*p + 25, 0*b - 5*b - 2*p = -53. Suppose 4*y = 7 + b. Suppose -y*n = -2*n - 192. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Determine j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, 0.06, -10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*x + f - 24, 3*f + 33 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 6*n**2 - 5*n. Suppose 4*f - f - 18 = 0. Let a(i) = -4*i**3 + 7*i**2 + 7538 - 7538 + f*i. Determine -6*a(s) - 7*d(s).\nAnswer: 3*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3078561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1*9))\/((-5)\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*h + 125*h + l + 10 = 0, 0 = 4*l + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/58 and -29\/156.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8005222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 436.8 - -0.11540701\nAnswer: 436.91540701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from mmccnnnctcmcmtc.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 443*h**2\/4 - 10880*h + 70819.\nAnswer: -(h - 302)*(h - 134)*(h - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125290 and 308870.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63017567 to the power of 1\/2, to the nearest integer?\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g*g*g**(-1\/18)*g)\/g*g)\/g*(g**(-3\/5)\/g)\/g assuming g is positive.\nAnswer: g**(31\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31673\/16 + -1976. What is the common denominator of -31\/44 and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-1 - (3 + -9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1073513 + 1073518.00077. Let v = 0.2 - 5.2. Let n = v + l. What is n rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -6 (c) -1\/2 (d) -3\/2 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.3617 weeks in microseconds?\nAnswer: 12919556160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 15)*(0*r**2 + 3324 - 4*r**2 - 3328).\nAnswer: 92*r**2 + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/9 - 229120*w\/9 - 3208072\/9 = 0?\nAnswer: -14, 114574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/39285 and -83\/12?\nAnswer: 157140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -360\/7. What is the nearest to 0 in -0.6, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**4 - 7*f**3 - 13*f**2 - 7*f. Let x(b) = -b**4 + b**3 + b**2 + b. Let i(j) = 2*o(j) + 14*x(j). What is the third derivative of i(m) wrt m?\nAnswer: -480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 9*p + 1\/4*p**4 + 2\/3*p**3 - 5 + 1\/2*p**2. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - 1.3. Put -0.5, m, 0.4 in decreasing order.\nAnswer: m, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -10100?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 35601 - 13399. What is v rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237138607, 237138605, 237138603?\nAnswer: 237138601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 429*j**2 - 43252*j - 352. Calculate p(162).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2582*i**2*r**2 - i*r**2 - 14*r**2 - 274*r wrt i.\nAnswer: 5164*i*r**2 - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakkckaacawqc. What is prob of sequence kk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1316355*q**6 + 1595643*q**2 wrt q?\nAnswer: 157962600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:41 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-12*(-10)\/120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32545 (base 7) to base 15.\nAnswer: -2647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 117?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/3 - 4265198*j**4\/3 + 29856421*j**3\/3 - 59712862*j**2\/3 + 11373880*j = 0.\nAnswer: -4265205, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 281 + e4d?\nAnswer: 11ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/32 + (-18)\/8. Let n = b - -4. Let z = n - -12. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -0.3 (b) 1.1 (c) 4\/13 (d) 24\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/197, 2, 0.3?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 1420*r**2 - 11248*r - 395. What is w(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 0*g + 3 - 11. Let o be z(6). Calculate the greatest common factor of 80 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1072, -1310, -1546, -1780, -2012?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -701 + 1101. Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 8*x + 20. Calculate the remainder when 94 is divided by j(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 376, 1496, 3350, 5932, 9236, 13256, 17986, 23420?\n\"Answer: -n**3 + 373*n**2 + 8*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*h - 2*i, 3*h - 34 = -2*i - 2*i. Suppose 2 = 4*y - h. Is 4 a factor of y - 0 - (0 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 2 - -4 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -825073\/112 + 7367. Find the common denominator of -59\/672 and j.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 42 - 51*r + 19 + 37 - 80 + 3*r**2 in the form b + d*r**2 + u*r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 1 - 13\/10*f**5 - 185\/6*f**3 - 1\/4*f**4 + 0*f**2 + 4*f. What is the second derivative of x(j) wrt j?\nAnswer: -156*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59214358 is divided by 162?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(108)*2 - (-3 + sqrt(108) + 2))**2 - 1*((sqrt(9)\/((sqrt(33)*1)\/sqrt(11) + sqrt(3)))**2 + -1).\nAnswer: 60*sqrt(3) + 10805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 42 = -12. Let g(y) = 2*y + 15. Let m(f) = -f - 14. Let z(s) = -2*g(s) - 3*m(s). Give z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298774334.\nAnswer: 2, 37, 479, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*j - 6*a + 2*a, -6 = -2*a. Suppose -2*w + j = 2*w. Suppose 10*q - w*q = -5*c + 130, 4*q - 2*c = 122. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 746, -85, 2, -2 in decreasing order.\nAnswer: 746, 2, -2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 401855*x**3 - 895*x**2 - 895*x + 895. Let t(a) = -899*a**3 + 2*a**2 + 2*a - 2. Calculate 2*c(g) + 895*t(g).\nAnswer: -895*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. Suppose 2*g - 3*g - 6 = -h, o*g - 20 = 0. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.5, 2\/45, 0.1, -7 in increasing order.\nAnswer: -7, -0.5, 2\/45, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p - 5. Let r(v) = -9*v + 6. Determine -3*m(d) - 2*r(d).\nAnswer: -6*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c55c (base 15) to base 11.\nAnswer: -29380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnonccsnncnnnnon. What is prob of sequence co?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -0.03. Let w = o + -5.04. Let h be (-1 - 0) + (-20)\/(-10). Put h, w, 1\/4 in ascending order.\nAnswer: w, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2*n**3\/3 - 2*n**2 + 4*n - 16. Let j(g) = g**3 - 3*g**2 - 5*g + 5. Determine 4*j(c) - 5*y(c).\nAnswer: 4*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-4) - (2 - 2). Let k = t - -12. Calculate the remainder when 0\/2 + (0 - -15) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8592396 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5586452 millilitres to litres.\nAnswer: 0.0005586452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let y(p) be the third derivative of -p**5\/12 + p**3\/6 - p**2. Let t(j) = -2*c(j) - y(j). What is the derivative of t(x) wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2697 and 159819.\nAnswer: 4954389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 23*n - 31. Let y be q(7). Suppose 0 = 8*v - 4*v + 184. List the prime factors of 2\/((-188)\/v - y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9*16\/48)\/1. Solve 2*a + 33 - 42 = y*w, 4*a - 7 = -5*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13540, -13509, -13416, -13231, -12924, -12465, -11824?\n\"Answer: 5*j**3 + j**2 - 7*j - 13539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, e: 5, m: 1}. What is prob of picking 1 q and 1 e?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 4\/5 (c) 0.64 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 23043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -8. Solve 11*s**3 - x*s**3 + 3*s**2 - 3*s**2 - 4*s**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 15*u - 9. Let j be b(14). Suppose -c + 30 = j*g, 2*c + c = -5*g + 70. What is the highest common divisor of c and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/1151102 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378585225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4247162 by -12.\nAnswer: 2123581\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -415149*y - 8762. Let k be h(62). Round k to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210277 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271188 and 1017684?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*x + 41*x - 3, x = 4*c - 27 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**2 + 18572437*g + 29092584.\nAnswer: 10*g + 18572437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1526 is divided by 167?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -6, 47 in descending order.\nAnswer: 47, 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 44*h. Let r(l) = -7*l**2 + l. What is w(r(x))?\nAnswer: -308*x**2 + 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467*w**3 + 360*w wrt w.\nAnswer: -2802*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4535960 by -845.\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = x + 34, -14*x - 5*y - 34 - 368 = 0 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3618 * 44845\nAnswer: 162249210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 5*z**2 + 7*z - 1. What is g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 1\/6*m**4 + 0 + 8\/3*m**3 + m**2 + 0*m. Differentiate g(i) with respect to i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.3. Let p = 14 + -13.96. Let s = p - 0.04. What is the third biggest value in -5, s, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 31 - 29. What are the prime factors of 35*2 + x\/5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1529 + 3766. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 z when three letters picked without replacement from {t: 4, n: 3, z: 2, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 487.8 + -487.5572. Which is the nearest to u? (a) 0.3 (b) -0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = m + 4, -14 + 6 = 2*m - 3*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 120 = -238 + 124 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -173*m + 374. Let r(k) = 175*k - 372. Let j(x) = -5*g(x) - 6*r(x). Find the first derivative of j(v) wrt v.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6185, -12363, -18551, -24755, -30981, -37235?\n\"Answer: -s**3 + s**2 - 6174*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r**3 + 17*r**2 - 21*r - 9. Let h(q) = 3*q**3 + 4*q**2 - 5*q - 2. Let b(v) = 9*h(v) - 2*t(v). Let p be b(-3). Let x = -446 - -19177\/43. Is x != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 - 148. Find the second derivative of 4*h - t*h - h - h**3 - 16 - 4*h + 3*h**4 - 2*h**4 wrt h.\nAnswer: 12*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1\/2)\/((-13)\/13390). Suppose -7*j + 3905 = -2*j - 4*g, -k = -2*j + 5*g. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.123337 plus 0?\nAnswer: 729.123337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(192) - 1*sqrt(192))\/sqrt(12))\/sqrt(4))\/((sqrt(2)*2 - sqrt(2))*-5 - (sqrt(2) + (1*(sqrt(4)\/sqrt(2) + sqrt(2)) - sqrt(2)))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/61, 11.27, 1, -3, 0?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39902085284326 + 0.2.\nAnswer: -39902085284325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 3:16 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 2892820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. Let l be 5\/(-10) - 125\/(-210). What is the nearest to 1 in w, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(250) + sqrt(3500)*1)\/(sqrt(20) + sqrt(240)\/(-4*sqrt(12)) + sqrt(20) + sqrt(20)).\nAnswer: 102*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1021 (base 7) to base 6\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 5) in base 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -640 + 1654. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(204)*-1 - sqrt(204)) + sqrt(204) + sqrt(204)) - 1*sqrt(204)*-2)\/((sqrt(12) - (-2*sqrt(768) + sqrt(12))) + sqrt(192)*-2).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469182 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1231120 to the nearest 10000.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*z = -4 + 39, 0 = -4*l + 3*z + 83. Solve -i - 4*i + l = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -13*l + 57. Solve -x + 13 = -5*i, x + 1 = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u**2 - 68. Let q(n) = -5*n**2 + 23. Let i(f) = 17*q(f) + 6*s(f). Let a(g) = g**2 - 3. What is -34*a(z) + 6*i(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 576 = -t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4787*h**2 + 9529*h**2 - 5274*h**2.\nAnswer: -532*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*h - 6 - 6 = 0, 2*r - 5*h - 18 = 0. Let w(p) = 1. Let z(c) = -c - 2. Calculate r*w(k) + 3*z(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1061 - 1063. Is l >= 1.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -21*s + 4. Suppose 34 = 3*u + 7. Let c = u + -20. Is g(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 551 - 526. Suppose 5*k = -5*m + 25, 0*m = 2*m + 10. What is the greatest common divisor of r and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 12*x**2 - 9*x + 4. What is the units digit of i(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5465 is divided by 242?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 - q + 1. Let t(j) = -5*j**3 + 3*j**2 - 4*j + 1. Let m(k) = -2*k**3 - 28*k**2 - 18*k - 255. Let o be m(-14). Calculate o*v(i) + t(i).\nAnswer: -2*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0 + 9. Suppose 4*j = 5*w + 8, r*j + 2 = -4*w + 4*j. Which is smaller: -9\/8 or w?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-172)*57\/76?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9069 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-20))\/((-2)\/16). Suppose -3*d = -0*d + 6, x*d = 3*j - 352. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24485576 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 + 1 = -3*p, -5 = -5*p + n. Which is the biggest value? (a) -23 (b) -4 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 0 - 2 + 6 + 2*m.\nAnswer: 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77738*a*v**3*y - a*v**2*y - a*v**2 - 2*a*v*y - 2790*v**2*y wrt v.\nAnswer: -466428*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 5350345?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z. Suppose -k - 3*k = z, n + 5*k - 35 = 0. Suppose 5*y + 10 = n. Solve -y = -2*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -33, -63, -93, -123?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.4 (b) -2 (c) -1170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -512 - -949. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:37 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - 4 = -25*n. Suppose 10*b + 120 = n*b. Let s = -8 - b. What is the highest common factor of 192 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 7*u - 6. Let o be s(-6). Suppose -6*k + 10*k = 16. Suppose o = -3*l - l + k. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/51*-4*-1*2\/4?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-944)\/(-65490))\/((-104)\/(-390))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7154\/115 + -1440\/23. Which is greater: 4112 or c?\nAnswer: 4112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 8*p - p + 3)*(-p + 3 - 3) in the form w*p**2 + c + t*p and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*o + 10 = 0, 4*r + 2*o = -3 - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 670*g**3 - 39*g + 1 - 1 + 8*g + 4 - 15*g wrt g.\nAnswer: 4020*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*y - 105*y + 2*d + 39 = 0, 3*y - 2 - 19 = 2*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -4 - ((-11 - -15) + -8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 26 = j - 22*s, -2*j = 36*s + 800 - 588 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let l(t) = -1017*t - 12. Let r(z) = 407*z + 5. Let p(b) = -5*l(b) - 12*r(b). Give v(p(s)).\nAnswer: 201*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12102220012 - -1210120?\nAnswer: 12111200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -4, -0.5, 11, -3, -2930, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3031 divided by -18461.\nAnswer: -3031\/18461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**3\/3 + 13*o**2\/2 - 21*o + 1. What is the tens digit of v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by -16\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbbbszbbb. Give prob of sequence szsb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k - k - k**2)*(2*k + 5*k**3 - 2*k) + (k**2 + 0*k**2 + k**2)*(-1 + 1 + 4*k**3))*(-1 - 3 + 0).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 554?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234934 divided by -97.\nAnswer: -2422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 = 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1806\/91 + 2\/13. Let h = b + 76. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h - 2. Let a be l(5). Let z = 46 - a. Suppose -4*y - 3 - z = 4*k, y = -5*k - 16. Are y and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b - 8 + 1552*b**2 + 35*b + 8.\nAnswer: 1552*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3+418843298.188\nAnswer: 418843295.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 2*u)*(-81*u**3 - 10*u**4 + 81*u**3) + (2*u + 1 - 1)*(u**4 + 4*u**3 - 4*u**3).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*y**2 - 6*l*y + 3*l - 5*y**2 + 1897*y - 6329771 wrt y.\nAnswer: 2*l*y - 6*l - 10*y + 1897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01491621 to 4 dps.\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175051 is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.135 + 2898786.\nAnswer: 2898778.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 4:24 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -121021201112000 (base 3) to base 13\nAnswer: -1a40654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66381330 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 51. Let g(o) = -29*o + a + 1 + 23*o - 4. Let b(c) be the first derivative of c**2\/2 - 1. Determine 5*b(h) + g(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38042.9 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 141. What is the hundreds digit of (-164)\/(-246) + 5294\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170804 or 170805?\nAnswer: 170805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97\/3 - -32. Let w = 7289 + -7289.5. What is the third biggest value in w, c, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*-3*3\/(-18). Suppose 2*j - 38 = -3*y, 0 = 4*j + j - y - 78. Suppose 2*g + 5 = -5*a - j, 13 = -g - 3*a. Solve o - 13 = -g*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057854107.\nAnswer: 3, 157, 4369117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589652287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4959 = -5*f, 3*f + 1800 = -3*j - 1167. Which is smaller: -989 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 3. Let z be u(-4). Let p = z - 1. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -645154, -2580555, -5806214, -10322125, -16128282?\n\"Answer: x**3 - 645135*x**2 - 3*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -438930.\nAnswer: 2\/219465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 153, 60, -33, -126?\n\"Answer: -93*i + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 46*n**2 - 29*n + 96. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/(3\/6). Suppose 24 = 3*j - 3*n, j + 2*n - 26 = -v*j. Let g(u) = 17*u + 1. Let r be g(2). What is the highest common divisor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 137.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 39. Let j be 34\/10 - (-6)\/(-15). Suppose 0 = 5*p - j*p - 60. What is the highest common divisor of p and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*t - t - z, 3*t - 4*z = 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2061 + 5122. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7705.293l in millilitres?\nAnswer: 7705293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 times -0.151?\nAnswer: 100.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*a**5 - 2*a**3 - 32*a**2 - 15325*a wrt a?\nAnswer: -2320*a**3 - 12*a - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 778553350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217963668 by -5844.\nAnswer: -37297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1737 is divided by 434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -19*j. Let a be (1 - 2)*(1 - 0). Is v(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -20*m + 15. Solve 0*b - b = -m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**11)**(-2))**25 assuming n is positive.\nAnswer: n**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 - 27 - 19 + 3*x)*(12*x - 28*x + 18*x - 2) as s*x**2 + l + n*x and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:58 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -12*z**2 + 3*z**4 + 3*z**3 + 21\/2*z - 3\/2*z**5 - 3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/11)\/((-10116)\/6182)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -30*b + 32*b. Find the third derivative of 16261*g + g**4 - 16261*g + b*g**2 - 7*g**3 wrt g.\nAnswer: 24*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + sqrt(3200) + 0 + sqrt(3200))*-6)*6.\nAnswer: -2880*sqrt(2) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3204, 6403, 9608, 12819, 16036?\n\"Answer: 3*b**2 + 3190*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 times 13?\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - -11. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + c - 19 = y, -2*c = 2. Let l be 3\/(-5 + 2) + 1. Let x be -2*(l - y\/2). Solve -10 = -x*o - 0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27195 > 27195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3428.\nAnswer: 10284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2802355\/1162 - -16882\/7. Calculate the common denominator of l and -5\/22.\nAnswer: 12782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -688, -2648, -5846, -10240, -15788, -22448, -30178?\n\"Answer: 7*t**3 - 661*t**2 - 26*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1078440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2 - (-27)\/(-14)). What is the units digit of ((-2)\/6)\/((f\/5565)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**3 + z**2 - 4*z**3 + 2*z**3 + z**3 + (2*z - z + z)*(-z**2 + z**2 + 2*z**2) + 4*z**3 - 2*z**3 + 7*z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/6937 and -93\/2842.\nAnswer: 2816422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2088, 2141, 2228, 2349?\nAnswer: 2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + (-104)\/24. Let s(u) = -28*u + 1. Is s(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:56 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4251 = -6*j + 591. Let x = j + -420. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*d - 2*d. Let w(s) = s**3 + s**2 - 12*s + 25. Let l = 583 - 578. What is the remainder when w(l) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 9 - 54. Is 894\/i*3\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*j**2 - 240479261*b**2*j - b**2 + 659*b*j**2 + 5*b*j + 58*j**2 - 1 wrt b?\nAnswer: 2*j**2 - 480958522*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3360 divided by 2\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 9*u**5\/5 - 16*u - 6. Differentiate v(t) wrt t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let y be r(5). Suppose 72 = 29*s - y*s. What is the smallest common multiple of s and ((-16)\/(-120) - 319\/30)*-2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2*t - 3. Does 21 divide w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 153, 303, 449, 591, 729, 863, 993?\n\"Answer: -2*k**2 + 156*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-90)*(1 + -2 - 36\/(-56)). Let z = 26 - 26.44. Let y = z - -0.5. Which is bigger: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from mmfymfmmmfmymmfm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.95 times 5.6?\nAnswer: -1063.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.4 (c) -5 (d) 135 (e) 1\/6 (f) 64 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 1906.4.\nAnswer: 1906.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 - 2*u + 9. Let v be y(-6). Let m = v + 15. List the prime factors of (-4 - 0)\/(m + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97509, -97498, -97487?\nAnswer: -97476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00501826 rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1 (b) -0.5 (c) 0 (d) 5 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9736\/3651)\/((-4)\/10*(-5)\/(-21))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222.1 - 222. Sort 6, -2\/139, 2\/5, m in decreasing order.\nAnswer: 6, 2\/5, m, -2\/139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*112\/(-70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.1 + -0.9?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 16 - 63*q**2 + 66*q + 24*q**3 + 31*q**4 - 34*q**4.\nAnswer: -3*(q - 4)*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12007, 12048, 12177, 12436, 12867, 13512, 14413?\nAnswer: 15612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*l + 3*f, -3 = -4*l + f. Suppose 17*c - l = 16*c. Is 10 a factor of (24\/(-15))\/(c\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313753 to the power of 1\/2, to the nearest integer?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1036*m + 1069*m + 231 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118219\/7 - 16888. Factor n*t**2 - 6\/7*t - 24\/7.\nAnswer: 3*(t - 4)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*95.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -969\/5 at most -193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 0*i**2 + 32*i - 31*i in the form g*i + h*i**2 + t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -239\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-372) - (-2070)\/1550\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2212)\/(-948)*12\/98\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 88. Let x be (0 - -1)\/(g\/33). Let c(o) = 2*o + 1. Let b(q) = -6*q - 3. Calculate x*c(j) - 4*b(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6865, -6866, -6867, -6868, -6869?\nAnswer: -6870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7 + 3 = 0. What are the prime factors of (1 + -2)\/(p - (-255)\/(-127))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49112.\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 77. Let s(j) = -j**2 - 19*j + 10. Let n(b) = 13*b**3 + 2*b**2 - 2*b + 1. What is the remainder when s(t) is divided by n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 216 = -2*i. What are the prime factors of 2\/5 + i\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.4 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(22\/5 + -4). Let f be (-3)\/b + (-33)\/55. Suppose -5*z + 75 = 6*l - 3*l, z - 3 = f. What is the lowest common multiple of 2 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 times 6.7\nAnswer: -509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3134*h + 114 = 3009*h + 1739 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21800234 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-20) - (4 - (-19)\/(-5)). Suppose a = -5*z - w - 0 + 12, 4*w + 12 = 0. Let l(k) = k**2 + 1. Let h be l(0). Put -3, h, z in increasing order.\nAnswer: -3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6\/5))\/r**(-2))**(11\/2) assuming r is positive.\nAnswer: r**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9105 + -4895. What are the prime factors of w?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-15)*(-4)\/(-2). Suppose 24 = -2*w + 5*w. Let x be (2\/w)\/((-2)\/(-8)). What is the third smallest value in -0.1, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2. Let i(w) = -w - 8. Let l be i(-17). Let p(a) = -25*a**2 + 0*a + 0*a + l*a**2. What is h(p(r))?\nAnswer: -512*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4152.8 + -4153. Is 287 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*y**5 - 4*y**4 + 341*y**2 wrt y?\nAnswer: -1560*y**2 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 34)*21\/(-63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44675837 - 19.1.\nAnswer: -44675856.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354 + 895 = 39*r - 624 - 161 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -371, -823, -1455, -2267, -3259?\nAnswer: -4431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -3\/5, -1, -462, -0.3, -9 in decreasing order.\nAnswer: 0.03, -0.3, -3\/5, -1, -9, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z**3 - 4*z - 5. Let k(s) be the third derivative of -7*s**6\/120 + s**5\/60 - s**4\/8 - 2*s**3\/3 + 3909*s**2. Calculate -4*d(p) + 5*k(p).\nAnswer: -3*p**3 + 5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -91*d + 86*d. Suppose 0 = d*f - 6 - 6. Solve 10 = 5*w - 0*w + 2*c, -c = 3*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, -58, -243, -608, -1213, -2118, -3383, -5068?\n\"Answer: -10*h**3 + 5*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqiua. What is prob of picking 1 j and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*x + 0*x = -6, -q - 4*x = 14. Is 2\/q*66\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 - 9. Let q = h + -82. Solve q*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c + 2691*c**2 + 7485*c**2 - 6*c + 6*c. Let m(j) = 2*j. Calculate i(m(l)).\nAnswer: 40704*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.1 (c) -6\/13 (d) -1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*c**3 - 108*c**3 - 108*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1555, 3975, 6385, 8779, 11151, 13495, 15805, 18075?\nAnswer: 20299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2872 divided by -11401\nAnswer: 2872\/11401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i*i)\/i*i\/(i*i*(i**(2\/5)\/i*i)\/i*i))\/(i**(-2)*i**(-6\/5)) assuming i is positive.\nAnswer: i**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrlkc. Give prob of sequence kv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/13)\/m*m**(-2\/17)*m*(m**(-1\/2))**(-1\/8) assuming m is positive.\nAnswer: m**(-739\/3536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 7*g**4\/24 - 39*g**2 - 3. Let r(u) = -38*u**2 - 3. Give r(q(k)).\nAnswer: -1862*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 2373*c**3 - 7137*c**2 + 7143*c - 2382 = 0. What is c?\nAnswer: -794, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 38*j - 7614 = 0. Calculate the remainder when 807 is divided by j.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -225. Let r = f - 119. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 40*l - 144. Let u be w(-4). Solve 19*s + 66 - 9 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 891246*l*t**2 - 22*t**2 - 11961 wrt l?\nAnswer: 891246*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144425742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11966476, 11966480, 11966484, 11966488?\n\"Answer: 4*x + 11966472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21697 + 21695. Let q(f) = 6*f + 7. Let v(u) = u**2 + 7*u + 8. Let y(d) = 3*q(d) - 2*v(d). Determine y(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1060023, -2119600, -3179189, -4238796, -5298427?\nAnswer: -6358088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3616 divided by -452.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**3 - 10*b**2 - 18*b + 256. Give g(4).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 7}. Give prob of sequence mmm.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:24 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttgtttttttgt. What is prob of picking 1 t and 2 g?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 2. Let v be f(0). Suppose -27 = -v*d - d. Let c = 64 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -387.47?\nAnswer: 387.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 167 = -599. Which is the nearest to d? (a) -3\/7 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 56791221\nAnswer: -11358244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 1. Let n(g) = 34*g**2 - 46*g**3 + 4 - 3*g - 2*g**3 - 27*g**3. Let u(l) = n(l) + 4*p(l). Factor u(i).\nAnswer: -3*i*(5*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*i + 552*i - 124*i as w + t*i and give t.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = -2*a + 7*d - 33, -4*d = 2*a + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 345 + -328. Calculate the remainder when 35 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 17586.\nAnswer: 17595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 42*k - 41*k + 1.\nAnswer: -83*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f - 16. Let l = -8 + f. Let q = 13.5 + -13. Put l, -1, q in increasing order.\nAnswer: l, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112)*-2)\/sqrt(11) + -5)*-6.\nAnswer: 30 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 60*l**4\/7 + 7922*l**3 + 3123332*l**2\/7 + 103152*l - 207360\/7 = 0.\nAnswer: -864, -60, -2\/5, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/384 and 181\/1320.\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -q, -a - 2*a + 65 = 5*q. Find c such that c**4 + 4*c**2 - q*c**3 + 12*c**2 + 6*c**3 + 8*c**2 - 3*c**2 = 0.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30110112671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*p = 0, -5*f + 35 = -0*p + 2*p. Suppose 976 = f*j + 141. Suppose 5*c = 5*k + 410, -2*c + 0*k - k + j = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:30 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + -5 + (sqrt(931)*2 + sqrt(931) - sqrt(19)))**2.\nAnswer: -210*sqrt(19) + 8404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -354478, -354490, -354512, -354544, -354586, -354638?\n\"Answer: -5*r**2 + 3*r - 354476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454729753.\nAnswer: 6599, 220447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 = -24. Suppose -448 = -g*x + x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190c9b7 (base 13) to base 11\nAnswer: -4699157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 939.8 and -160408?\nAnswer: 161347.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 27.55793m?\nAnswer: 0.02755793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1974*t. Let d(v) = -v + 24. Give b(d(m)).\nAnswer: -1974*m + 47376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 + -124. Let u be 24\/r + 256\/28. Solve 2*q + 0*q - u = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*v - 49, 0*v + 5*s - 37 = -2*v. Calculate the smallest common multiple of 48 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -6 - (-79 - -102) - 77.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -160.8?\nAnswer: -160.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-9))\/(5\/3). Let d be -4*1 - (-2 - 0). Let v = -1349\/10 - -135. What is the second smallest value in d, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -258776\/9, -4\/3, -0.08 in increasing order.\nAnswer: -258776\/9, -4\/3, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -960100, -960101, -960102?\nAnswer: -960103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.572479 rounded to zero dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(7\/2*(-9)\/(-21)). Calculate the greatest common factor of y and 3315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 8:02 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-45305)\/(-26)*6\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2302 - 2305. Let v be (0 - 4)*(-1005)\/20. Is (v\/1)\/k*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-49))\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y - 26*y + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 10*n + 23 = -5*s, -10 = 5*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.2 + -26. Which is the closest to -2\/9? (a) -5 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkddkkk. Give prob of sequence dddk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 13*p = -o + 2728, -p - 4*o - 944 = 0. Is -911 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 2. Let k be w(0). Let u be 1 - (k - (4 - 8)). Sort 5, u, 1 in increasing order.\nAnswer: u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 711 in -2\/7, -2, -1, 236\/111?\nAnswer: 236\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54891*b**5 - 34358*b**2 wrt b?\nAnswer: -3293460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-3 + 1)*1)**2.\nAnswer: -72*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 + 14*t**2 - 5*t**2 + 5*t**2 as g + h*t + i*t**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (26 + 0 + -37)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:11 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.019754 micrograms in nanograms?\nAnswer: 2019.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20774 + -20772. Solve -b*r - 8*s + 7 = -9*s, -4*r + 20 = 4*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -2*k + 6. Let n = 70 - k. Solve 0 = -n*x + 12 - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1495794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 536 = -17*c + 15*c, -2*j = -c - 264. Let w = c + 268. Solve 2*l = 3*g + 5 + 5, 2*g = -w*l + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + s = 14, 3*f - 3*s + 19 = 1. Let o = 3 - f. Suppose -o*p + 39 = 9. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-253)\/(-385) + -11 - 2\/(-14).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-645))\/(4\/24)*5\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24243 - -10?\nAnswer: -24233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 + 0.05. Let h = -95 - -473\/5. Let w = -3848\/7 - -550. Which is the nearest to w? (a) z (b) h (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5979966 to the nearest integer?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.9. Let f = o - 0.4000015. Let y = 0 + f. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-15) - 31\/(-3). Let d be z\/54 - 286\/(-12). Let s be (15\/(-315))\/((-2)\/d). Which is the closest to -0.1? (a) s (b) -3\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 534898967, 534898971, 534898977, 534898985?\n\"Answer: v**2 + v + 534898965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46b - ca?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 6*w - 845. Suppose k - w = 51. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 less than or equal to 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 42167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 5*w**2 + 5*w - 6. Let n(q) = -q - 12. Let d be n(-5). Let f(u) = -2*u**2 - 16*u - 10. Let a be f(d). Calculate k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145043, -145069, -145111, -145175, -145267?\n\"Answer: -i**3 - 2*i**2 - 13*i - 145027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -828, -3174, -7070, -12516, -19512, -28058, -38154?\nAnswer: -49800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 28*v - 25. Let u be m(-27). Suppose -4*b + 6 = -2*s, -s = -2*b + u*s + 9. Solve b*k = 2*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14867186 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.4 + 59. What is the nearest to 0.4 in 0.4, 1\/4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 114, 362, 844, 1638?\nAnswer: 2822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((-168)\/392 - 27\/(-14)). Let m(w) = -4*w - 2. Let p(k) = 1. Calculate v*m(d) + 3*p(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 21*r**2 - 31*r + 45. Let g(m) = -4*m**2 + 6*m - 9. Determine 11*g(t) + 2*w(t).\nAnswer: -2*t**2 + 4*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148972 and 1?\nAnswer: 148972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*0\/7. Let b be 14\/(s - -2) - 2. Solve 0 = -b*z - 2*c + 23, -13 = -3*z - 5*c + 4*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2712 + 111?\nAnswer: -2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by (1*6)\/((-513)\/(-3762))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0 + 1\/210*g**6 + 0*g + 48*g**2 - 1\/735*g**7 + 0*g**3 - 1\/210*g**5 + 0*g**4. Factor k(n).\nAnswer: -2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajaa. Give prob of picking 2 j and 1 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 1, r: 1, j: 1, n: 1, p: 1}. What is prob of picking 1 n, 1 j, 1 d, and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182214367?\nAnswer: 182214367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70429117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 21) + 19 + 4 + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - 11a1c?\nAnswer: -11990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-2)\/(-4))*-8. Let q = j - 2. Solve -1 = -3*x - c, -4*x - 5*c = -q*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*a = 222*a + 171*a - 4491 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11\/4)\/(o\/o**7) assuming o is positive.\nAnswer: o**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 29. Let h = s + -14. Calculate the lowest common multiple of 5 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 234*q**3 + 1094*q**2 + 2898*q + 1568.\nAnswer: 2*(q - 112)*(q - 7)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 950 and 3415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 3*h**3 - 6*h**3 + 5*h**3.\nAnswer: -4*h**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2161902666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 + -5 + 6)) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 14) in base 2?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.012, 0.007, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 11*x - 2*x)*(-x + 2 - 2 - 2*x - x + 5*x + (3 - 4 + 2)*(-2*x - x + 2*x) - 4*x + 6*x - x + x - 13*x + 0*x)*(3*x - 3*x + x).\nAnswer: 143*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(78\/(-12))*(44880\/(-32))\/33?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*w - 15*w - 18. Suppose 3*s = -w*x + 60, -x = 7*s - 9*s + 34. Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 5*w**2 - 4*w + 5. Let a be l(-6). Let d(u) = 5*u**2 - 6*u + 1. Let m be d(a). Suppose -7*h + 3*h + m = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r**2 + 7*r + 3. Let b be s(-5). Suppose t = 4*h + 24 + 64, 3*t - b = 5*h. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71045190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + m + 4*m - 1 - 2*m + 1 + (1 - 3 + 0)*(3*m + 3*m - 4*m) - 7780*m + 5082 - 5082 to n*m + u and give n.\nAnswer: -7787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8412017*g**6 + 8320382*g**2 wrt g?\nAnswer: -1009442040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 - 795*c + 797*c - 2465*c**2 as g + t*c + z*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 times -4\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**34\/f**17*f**(-28)*f**(1\/19)*f assuming f is positive.\nAnswer: f**(-189\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4538*n + 12 = -4541*n. Which is smaller: n or -2\/27?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289 and 79105?\nAnswer: 22861345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = -4*i + d, 5*d = -i - 3. Suppose -2*a + 1 = -i. Suppose 6*b - 6 = 3*b. Sort -4, a, b in decreasing order.\nAnswer: a, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.2697 years to months.\nAnswer: 7611.2364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**5 + 25*q**2 + 55*q - 25. Let a(r) = r**5 - 4*r**2 - 9*r + 4. Let j(z) = 25*a(z) + 4*v(z). What is the second derivative of j(b) wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162838491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -3.2. Let i = -157\/3 - -313\/6. Is t equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -4.72.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -11. Suppose 236 = 2*i + f*i. Suppose -3*c - 5*s = -s - 71, -s = c - 23. Calculate the remainder when i is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11616 and 2286?\nAnswer: -26554176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 3*i**2 + 7*i + 2. Let c be (60\/(-8))\/(9\/12). Let f = c + 14. Suppose -k = -f*k + 6. Let x(d) = d**2 + 2*d + 1. Determine k*j(s) - 7*x(s).\nAnswer: -2*s**3 - s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -10. Let s(o) = 2*o + 1. What is s(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16490 >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146544 (base 8) to base 5.\nAnswer: -3140310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let i be (-497)\/14 - f\/4. Let h = 54 + i. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - 76\/(-6). Suppose -5*d - y = -3. Let l(t) = t + 2. Let m be l(d). Solve 2*a + 0*a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -124*l. Let o(b) = -11*b. Calculate o(t(g)).\nAnswer: 1364*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 3.3. Let n = 0.1 + -0.8. Which is the second biggest value? (a) 0.2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 1 - -4. What is the tens digit of (6\/(-4))\/(d\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008450?\nAnswer: 2, 3, 5, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 19, -2, 0 in ascending order.\nAnswer: -23, -2, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -45 - 195. What is the remainder when z is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -103.3 and 48 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5580606 tonnes?\nAnswer: 558060600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 107, -4 in descending order.\nAnswer: 107, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/6)\/((-14)\/(-21)). Find the third derivative of 5*d**3 + 3*d**4 + 12*d**2 - 3*d**2 - x*d**3 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738095997 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7311.53 to the nearest one hundred.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000207955721 rounded to seven decimal places?\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7585427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 85. Suppose d*q = -5*z + 91, 4*z - 169 = -q - 4*q. Let x = -5 - -9. Solve -4*y = -4*b - 8, 0*y - q = -x*b - 5*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2572.924l to millilitres.\nAnswer: 2572924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 97\/430686?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*j**3 + 1352*j**2 - 2384*j + 1376 = 0.\nAnswer: 86\/63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6048 and 39816.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*t**2 + 68*t**2 - 21 + 21 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2308 (base 12) to base 3.\nAnswer: -12100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 110*p + 560.\nAnswer: 5*(p + 8)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n + 5. Let h(z) = -7*z + 6. Let w(g) = 4*g**3 + 2*g**2 - 4*g + 2. Let u be w(1). Calculate u*h(k) - 5*r(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 31 = 3*m, -5*w + 135 = -4*m - 75. Suppose 2*l - 5*x = -17 + w, -4*x = -5*l + 98. What is the lowest common multiple of 12 and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -9*l - 9. Solve -4*s + 2 - l = -3*n, 0 = -4*n - 3*s + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*((t*t**(-1))\/t)\/t)**(-12\/13)\/(t**(-1)*t)**42*(t**(-2))**(5\/7)*(t*t**5)\/t**(-1\/8) assuming t is positive.\nAnswer: t**(263\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4 + 22 + c**3 - c + 0*c. Let a(d) = d**2 - 14*d - 51. Let l be a(17). List the prime factors of x(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2300 and 225?\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -197.1 and -16221.089866.\nAnswer: -16418.189866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = 3. Suppose 2*q - 38 + 7 = p*m, -5*m = -q + 40. Are -8 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l. Let w(b) be the third derivative of 5*b**4\/6 + 11*b**3\/6 + 21*b**2. Let u(g) = -7*g - 4. Let s(z) = 11*u(z) + 4*w(z). What is s(h(c))?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177139346 to the nearest integer?\nAnswer: 13309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -13.9 (b) -0.4 (c) -36 (d) -2.5 (e) 0.5 (f) 3 (g) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23762 - 2446 = -12*b - 51*b. What is the highest common factor of b and 936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**7\/210 - 121*h**5\/60 + 5*h**4\/12 + h**3\/2 - 94*h**2 - 5. Find the second derivative of x(w) wrt w.\nAnswer: -12*w**2 - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m + m)*(-3*m + 3*m - 2*m)*(-6 + 0 + 2) + (3*m + 0*m - 4*m + (-m + 5*m - 2*m)*(1 + 0 + 1) - 1 + 1 - m)*(-8*m - 7*m + 7*m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 78. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 - u**3 - 6*u**2 + 21*u**2 - 5*u**2 - 6*u**2 + 13*u. Let k(m) = 2*m**3 - 9*m**2 - 27*m + 7. Determine 7*f(r) + 3*k(r).\nAnswer: -r**3 + r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1556.1 + -1556. Sort 0, l, -33, -3\/5 in decreasing order.\nAnswer: l, 0, -3\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0222 + -2.2222. Which is the biggest value? (a) 0.3 (b) r (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 10*m + 45. Let z = -112 - -98. Does 33 divide n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1655? (a) 18\/13 (b) 1 (c) 2\/249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgwwwswwgjwyggwpyjws. Give prob of sequence swgp.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 358*v**3 - 724*v**2.\nAnswer: 2*v**2*(v - 181)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*s + 16 = 0, 0 = -0*s - s + 2. Let j = -2 - o. Let g be (-1 - (-4 - (-4 - 0))) + 5. Solve j = -x - 4*q - g, 0 = 4*x + q - 2*q + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/50*1\/(9\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 25.2\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*f**3*r**3 - 30*b**2*f + b*f**3*r**3 + 2*b*f**3*r**2 - 17*b*f*r**2 wrt b?\nAnswer: 6*f**3*r**3 - 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 30*p**3 - p**4 - 29*p**3 + p**2 + 61*p**3 to the form g*p**2 + a*p**3 + k*p**4 + s + r*p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18455.771138 + 0.35262?\nAnswer: 18456.123758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 + -4.1. Let b = 0.8 + c. Let n be (-6)\/(-4)*16\/(-6). What is the nearest to -0.2 in 1\/4, b, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183\/8 + 23. Let n = -254 + 254.0378. Let x = -0.1622 - n. Which is the biggest value? (a) f (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 31*i**5 - 24*i**2 - 671*i. Let p(j) = -j**5 + j**4 - 4*j**2. Let l(r) = 6*p(r) - x(r). What is the second derivative of l(k) wrt k?\nAnswer: -740*k**3 + 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Suppose 0*b = 5*b - 15. Let f be m(b). Sort f, -1, -3 in decreasing order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - 134. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1752761 and -0.3.\nAnswer: 525828.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2423*t**3 - 452*t**2 - 6805123*t wrt t?\nAnswer: -14538*t - 904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235\/712 + -4\/89. Let d = 15 - 10. Sort d, a, -1.\nAnswer: -1, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + 0 - (4 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*p*z**2 - 15019*p*z - 2*p + 15027*z**3 - 3*z wrt z?\nAnswer: 18*p + 90162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 176*s**2 + 322*s - 1910. Calculate d(-86).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - z = -75, 5*m + 3*z - 369 = -0*z. Let w be 0\/1 - m\/(-1). Suppose o + 23 = w. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124*b*k**2*y - b*k*y + 22*b*y + 8*k**2 - 567*k*y + 2*k wrt b?\nAnswer: -124*k**2*y - k*y + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 8. Let h = -33 - -36. Suppose 0 = -m + 7 - h. Suppose 4*z = -5*k - 14, -12 - m = 4*k + 2*z. What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841 not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 8. Give b(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 715837267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 415*d - 836. Calculate g(4).\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8)*(20\/(-12))\/(16310\/47532).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -32. Let m be ((1 - n) + 4 - 3) + 2. Solve m*p + p + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29691 is divided by 9623?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (7 - (2 - (12 + -11))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4633 + 454. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**2. Let z(x) = -5*x. Calculate z(b(h)).\nAnswer: 55*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 43 and 23.27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.004259 + -15.75\nAnswer: -15.745741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/20 - y**4 - 9*y**3\/2 + 51*y**2\/2 - 1611*y. Give o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(22\/5)*(v**(-1))**(7\/5))\/((v*v\/(v**(-1)*v))**(-4\/9))**(-1) assuming v is positive.\nAnswer: v**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -224126 < -224044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**3 + 2*l - 1. Let k be 6*(-2 + 7\/3). Is z(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 48. Calculate c(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3668 + 3714. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:04 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, d: 12}. Give prob of picking 2 d and 1 x.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -317*s - 2216. Give k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-32 - (5 - 3)) + 15 + -6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 8*x**2 - 6*x**2 + (2*x - 7*x + 4*x)*(-x + 2 - 2) + x**2 - x**2 + x**2 + (4*x + 2*x - 4*x)*(4*x + 0*x - 2*x) + x + 2*x**2 + 4 - 4*x - x**2.\nAnswer: -5*x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1))\/((-9)\/26). Let d(x) = x**3 + x**2 - 6. Let o be d(0). Let h be (-5 - -4 - -4) + o. Is h >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from hegpe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b**2 - 7*b + 35*b**2 - 2*b**2 - 16*b**2 - 56. What is g(10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -45, -81, -119, -153, -177, -185, -171?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/79, 1\/2, 1\/9, -2, 4 in increasing order.\nAnswer: -2, -2\/79, 1\/9, 2\/11, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {h: 1, n: 1, j: 2, x: 1, p: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514314 is divided by 171435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12894, 12883, 12872, 12861, 12850, 12839?\n\"Answer: -11*z + 12905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*f - 77. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-243))\/(147\/(-21))\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 7*g + i + 38, 0 - 14 = 5*g - 8*i + 5*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6154 and 0.1.\nAnswer: 0.06154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s + 55*s = -17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*k - 140, 4*v - 272 = -5*k + 29. Calculate the highest common factor of v and 18186.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 5. Let n be v(0). Let a(w) = -2 + 2 + n + 2*w. Let s(b) = 22. Let f(y) = -35. Let z(h) = 5*f(h) + 8*s(h). What is -a(l) + 2*z(l)?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/736910 and -17\/1842275.\nAnswer: 3684550","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-4*d**3 + 2*d**3 + 0*d**3) + (-7*d + 3*d + d)*(2 - 2 - d**2) - 8*d**3 - 3*d**3 + 0*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 + 315. Suppose -2*v = s + 4*s - 28, 0 = 2*s + 3*v - 9. What is the least common multiple of 150\/525 + (48\/h)\/(-2) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 + -834?\nAnswer: -834.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*u**2 - 2269*n + 32742*u**2 - u - 112 wrt u.\nAnswer: 4*n*u + 65484*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415 - 1308*o**3 - 415 + 353*o**3.\nAnswer: -955*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/27)\/j)**6)**(-40) assuming j is positive.\nAnswer: j**(2000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 7:24 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6*t + 9*o, -12 = -5*t - 31129*o + 31138*o for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q - 85*q = 4*u - 10, 2*q + 2*u = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 798525 times -126?\nAnswer: -100614150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/399 and -77\/285.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1706*l = -1743*l + 101972. Calculate the least common multiple of l and 312.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163653 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: Round -742474.2 to the nearest one thousand.\nAnswer: -742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*1*4\/(-18). Let p(m) be the second derivative of -1\/6*m**3 + m + 1\/12*m**4 + m**2 + 0. Determine p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 48040*j + 133.\nAnswer: -48040*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - n - 1 + n + 1 + (-n - 2 + 2)*(-6 + 1 + 3) - 157*n + 310*n - 154*n + 130 to c*n + i and give i.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30129 and 10632798?\nAnswer: 116960778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from gdgdd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 - 0.08. Let k = -0.003 + 0.203. Let h = k + m. Which is the third biggest value? (a) h (b) -4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -32 (b) -2.1 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.3316?\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 2. Suppose -8*z + 12 = -4*z. Suppose 0 = s - z*s + 6. Let r(f) = -3. Let l(m) = s*c(m) + 2*r(m). Let n(b) = -b**2. What is n(l(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 17*n + 3*n + (0 - 1 - 1)*(3*n + 0*n - 2*n) + 3*n - 4*n + 4*n to v + h*n and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 8*y**2 + 5*y - 41. Let r be s(8). Is r != -2\/3947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/782*(-1)\/(6*(-1)\/(-6))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.9 from 0.2669.\nAnswer: -22.6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10212120?\nAnswer: -10212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.42 (b) 2\/7 (c) 31.8 (d) 1 (e) 4\/3 (f) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/10 + -341\/70. Let h = -466\/105 - j. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 3*d + 0 + (5 - 1 - 1)*(309*d + 353*d - 717*d) to k + v*d and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 6*j - 7. Give a(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 - 45. What is the remainder when l is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-20)\/(-10) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -80 and -74 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*(18 + -12). Let z be 6\/u*4\/4. Let h(m) = 5*m - 7. Let y be h(z). Solve y = -k + 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -6*f + 5181. Suppose 0 = -53*k - 273 + f. Solve 0 = k*y + 6 - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-2)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*r**6 + 135983*r**5 + 22*r**2 - 186*r - 284 wrt r?\nAnswer: 5880*r**3 + 8158980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:10 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-209))\/(-2)*1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 12*p + 47. Let q be w(6). What is the greatest common factor of q and 528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19882 + 19839 - 2*g + 2*g - 9*g**2 to the form b*g**2 + r + w*g and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = -3*w, 17*w - 22*w = -3*n - 11. Let j be -1*3\/(-3)*5. What is the closest to -2 in w, j, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 918872.5 micrograms?\nAnswer: 0.0009188725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ttttttsstttststtts?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d + 191. Give f(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - -1.2. Let t be (32\/(-85))\/(1 + (-4)\/5). Let o = 213\/68 + t. Which is the third smallest value? (a) o (b) m (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210312122 (base 5) to base 7.\nAnswer: -10251313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -739, -1670, -2973, -4648, -6695?\nAnswer: -9114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 - 2*x - 2. Let k be b(3). Let u = k + -6. Calculate the common denominator of 178\/u*(-1)\/(-11) and 17\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 77\/4 + 1\/(-4). Suppose -100*k + 391 + 109 = 0. Let h(n) = -w + 19 - k*n + 8*n. Let d(q) = -2*q**2. Calculate d(h(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 165\/(-22)*(-12)\/10. Let -840*b - b**3 - 13529 + 14429 - 50*b**2 - d*b**2 = 0. Calculate b.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from mssmnswspssn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 5)*(-2 + 3 - 4)*(4*a - 3*a - 4*a) + 3*a + 0 + 0.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a - 1 - 4 - 14*a + 2*a**2 - 26*a to s*a**2 + i + z*a and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52333, 104667, 157001?\n\"Answer: 52334*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -841 + 841.4. What is the fourth biggest value in -5, -0.2, u, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d**5 - 3*d**3 + d**2 + 32 wrt d?\nAnswer: 1140*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20211*c. Let g(n) = -315*n - 4. Give g(l(z)).\nAnswer: -6366465*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*p = -90*p - 56 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8172 + -9701. Which is bigger: i or -1527?\nAnswer: -1527","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/4*162\/(-5). Suppose 4*p = k - 61. Solve h - p*h = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjyjjjjjjppjjj. What is prob of sequence pjj?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057501 divided by -2?\nAnswer: 2057501\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**3\/6 + 5*r**2 - 6*r. Suppose 0 = 175*h - 4*h. Give q(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/4 (c) -2 (d) -2\/5 (e) 112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -16 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**3 + 135*z**2 + 1083*z. Let v(i) = 7*i**3 + 91*i**2 + 722*i. Let g(o) = 5*q(o) - 7*v(o). Factor g(f).\nAnswer: f*(f + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 422 = -y + 3*y, 0 = -2*y + 5*r + 428. Let u = 350 - y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221309 by -5.\nAnswer: 221309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.2, -0.2, -198\/5, 0.5.\nAnswer: -198\/5, -0.2, 0.2, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 3}. Give prob of picking 2 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.8866831 from -1589.\nAnswer: -1591.8866831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 12*z - 7. List the prime factors of o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 3 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -257537218 and 38?\nAnswer: 257537256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**5\/30 - v**2. Let s(u) be the third derivative of 1\/12*u**5 + 0*u**4 + 0 - 163*u**2 + 0*u**3 + 0*u. What is k(s(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k + 3. Determine z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = -347 + 1747. Suppose -3*h + 190 = -5*t, -4*h - 4*t - t + 230 = 0. Let r = h + q. Let j(b) = -6*b + 6. Calculate j(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3158149766 - -228?\nAnswer: 3158149994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1264639338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57788 is divided by 19260.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 3*o. Let m be y(2). Suppose 0 = m*r - 2, -5*d + 52 = 3*r - 21. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3416, -6840, -10264, -13688, -17112, -20536?\n\"Answer: -3424*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:07 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - 3*b + 3. Let j be s(2). Let v(d) = -d**3 + 18*d**2 - 41*d + 23. List the prime factors of v(j).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 - 2*f + 16*f + 19*f + 2.\nAnswer: 33*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + y + 29*y + 5*y)*(-3 + 7 - 2) - 19*y - 22*y - 19*y.\nAnswer: 10*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1623 divided by 49?\nAnswer: -1623\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:19 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2217.19 less than -14.45?\nAnswer: 2202.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvva when four letters picked without replacement from cvsvvlazazczzzz.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*j + 12 = 147*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 10. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 6*v**2 - 2*v**2 - 4*v**2 - 49526*v**3 + 49832*v**3.\nAnswer: 306*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3260230835 + 17096650439087\/5244. Let v = -18\/437 + b. Find the common denominator of v and -71\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -657\/14 - -368\/7. Let t = 1899873590258 + -377827860895662451\/198870. Let b = t + -2\/19887. What is the common denominator of r and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3 - 18*(3 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/16 and 35\/340016?\nAnswer: 340016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212.2 + -213.2. Let l = -24.19 - -24. Which is the third biggest value? (a) l (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*s = -15, -3*s - 8 = -g - 5. Suppose k = f + 1, -5*k = -f - g*k - 2. Let l(h) = h - 5. Let p be l(9). Solve 2*x + p = -f*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23732317?\nAnswer: 7, 41, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 9*n + 26*n - 9*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let g(n) = -7318398*n**2. Give g(q(z)).\nAnswer: -7318398*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 + 3*u - 3*u + (-2 + 2*u + 2)*(-65 + 65 - 2*u**3) in the form g*u**2 + b + i*u**4 + n*u + y*u**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -697 or -10456\/15?\nAnswer: -697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 6*b + 5*b)*(4 - 6 + 4)*(-2 + 0 + 0) to the form x + u*b and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -5*f**4\/12 - 5*f**3\/6 + 16*f**2. Let c be h(-1). Solve 5*b = c*g, 0*b - g = -4*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -260. Let c be (3 - r\/15 - -5)*0. Solve -q = -2*m - 4*q + 22, c = 5*q - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -21 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 26. Determine u(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 41\/279516 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1)*-5 - (sqrt(117) + (-5 + sqrt(117) + sqrt(117)*-3 + sqrt(117))**2).\nAnswer: -48*sqrt(13) - 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f*(f**(1\/8)\/f)\/f)**38\/(((f**(2\/5)\/f)\/f)\/(f\/(f\/f**(-3))*f))**(4\/17) assuming f is positive.\nAnswer: f**(-140537\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18035 = 132*d - 35161. Calculate the remainder when d is divided by 109.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -5\/6*a**3 - 29\/24*a**4 + 0*a + 0 + 24*a**2. Let z be b(-1). Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50764 - 8122199\/160. What is the common denominator of h and 24?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030063 to six dps.\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -204324*h*w - 4096*h - 25 wrt w?\nAnswer: -204324*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 6:55 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*g + 3, -6 = -2*g - 3*b + b. Let r = 8 - g. Suppose 7*q - r*q - 237 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/4)\/(1\/2). Let a(n) = 10*n**2 - n**2 - 7*n**2 + 13*n - s. List the prime factors of a(-11).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-645)\/(2408\/56)*(-4)\/(-288).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.441368484 rounded to 4 decimal places?\nAnswer: -0.4414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 26845.\nAnswer: -26845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2394 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2\/13, -0.18, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuul when four letters picked without replacement from ubbullbbbbubllulbbb?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -403, -604, -805, -1006, -1207?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8.4. Let v = 0.2 + k. Let w = 2.6 - v. Which is the biggest value? (a) -0.2 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 18 - (12 + -2)) + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62)\/(-4) + (-4)\/8. Let s be ((-90)\/3)\/(5\/h). What is the units digit of 4\/(-18) - 1370\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/18*(-2 + -4). Let p be -1 + m\/(-10) - -5. Put -4, 1, p, 5 in increasing order.\nAnswer: -4, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(-2 + 2 + z) - 10 + 21 - 2*z + 0 to the form w + h*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0828187 rounded to 4 decimal places?\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 27*f - 11*f - 429 + 2*f**3 + 3*f**3 - 5*f**2. Let q(w) = -w**3 + w**2 - 3*w + 86. Let d(x) = 2*n(x) + 11*q(x). List the prime factors of d(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5172 - 4) + 12 + 3\/3 + 0 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (845\/50 + -17)\/(3\/(-12)). Let u = 18 + -12. Let v = -0.7 - 0.3. What is the nearest to a in u, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(2)*-1.\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26779 is divided by 506.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425297.\nAnswer: 3, 17, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 559935*w + 513049 wrt w.\nAnswer: 559935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-658)\/(-188))\/((-42)\/(-420))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 + 47 = 13*m. Let f = m + 39. Suppose -3*w - 10 = -5*a, -3*a = -5*a - 2*w + 20. Calculate the remainder when f is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001276 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79)\/((-18565)\/10)*-1?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 35. What are the prime factors of (117\/(-18))\/(o\/(-6))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7887*w**2 + 444936*w + 22320 = 0. Calculate w.\nAnswer: -620\/11, -12\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**3 + a**2 - a - 13*a**3 + 0*a**3 - 2*a to the form l*a**2 + c*a + r*a**3 + g and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(11) - (sqrt(66) + sqrt(66)*3)\/sqrt(6)) + -4.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -15. Let v(q) = -2 + 5*q - q**2 + k - 9*q. Let z(g) = -11*g - 455. Let u be z(-41). What is v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3560 is divided by 887?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68909?\nAnswer: 68909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.2 (c) -8 (d) 1\/5 (e) -25\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.05 times 0.2?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -0.073 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-2) + 19 + -24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkijjjjjjinj. Give prob of picking 2 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykny when four letters picked without replacement from {r: 7, n: 6, y: 4, k: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/454 - -343\/227. Put -1\/4, v, 5, -21 in increasing order.\nAnswer: -21, -1\/4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.036 + -0.564. Suppose 0 = 5*f - 5*b + 20, 3*b + 16 = -4*f + b. What is the biggest value in f, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3371 - -3386. Let f be ((-4)\/8)\/(1\/(-6)). Suppose d + 20 = f*d. What is the remainder when n is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343 - 347. Which is the fourth smallest value? (a) 2 (b) 1\/7 (c) 0.3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/91*-21)\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 102*f**2 + 2. Let x(y) = 101804*y + 2 - 101805*y - 2. Give s(x(m)).\nAnswer: 102*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48313665.\nAnswer: 3, 5, 119293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -22121?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 2*s + 4*s + s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11389808017\/548 + 20784328. Let s = v - 7\/137. Calculate the common denominator of s and 19\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17030700 and 508?\nAnswer: 17030700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssshhhssisshi. What is prob of picking 3 h and 1 i?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 495\/(-135) + 4\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 3*v**3 + 11*v**2\/2 - 7. Let t be i(8). Let g = t - 77. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31340, 62679, 94018?\n\"Answer: 31339*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 813*o**2 - 21*o - 4. Let y(i) = -1627*i**2 + 52*i + 9. Calculate -2*y(c) - 5*z(c).\nAnswer: -811*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32740170 to the power of 1\/2, to the nearest integer?\nAnswer: 5722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8114646*-0.5\nAnswer: -4057323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*1*2\/(-4). Suppose -c - 2*d + s = -0*c, 4*c = 2*d + 12. Suppose -3*m = 0, -5*t - 2*m + 3*m = 15. Sort 4, t, c.\nAnswer: t, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -21 (b) 1\/3 (c) -1\/2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 905.\nAnswer: 3\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1724 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 4*o. Let g = o + 12. Calculate the highest common divisor of 110 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*g = -163*g - 22. Let z = -28 + -4. Let b = 2 - -1. What is the biggest value in z, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:51 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvaz. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:15 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/791756 and -54\/989695?\nAnswer: 3958780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*o - 9 = -107 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9196013 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -20*k + 0*k**2 - 2*k**4 + 1\/6*k**3 + 0. Find the second derivative of j(f) wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10795?\nAnswer: 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.62*3.\nAnswer: 7.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 455 - 455 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 + 4 = 0. What is the units digit of 30\/12 - c\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33949 and 111537.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = 3. Let h be s\/4 + 55\/20. Sort -1, h, 3\/2 in descending order.\nAnswer: h, 3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 2 + 3698*g**4 - 1815*g**4 - 2156*g - 1258*g**4 wrt g.\nAnswer: 7500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -i - 59, 2*o - i + 4*i + 116 = 0. Let g = 115 + o. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/(1\/((-24)\/135))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018351 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 159*v**3 - 3*v**2 - 2*v + 11. Let y be ((-3)\/4 + 0)\/((-12)\/48). Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 12990*j + 402701. What is l(-31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 64, 7367, 4, -0.3, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = -a + 14, 0 = -2*a + 157*j - 154*j - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 801592 + -801591.97000065. Let i = o + -0.03. What is i rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:53 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61130.11 micrograms in nanograms?\nAnswer: 61130110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.62626 rounded to 2 decimal places?\nAnswer: -16.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -90*o + 3. Let l be (-2)\/(0 + 3 + -2). Is d(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 24 (c) 3 (d) 0.2 (e) 13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 33101010?\nAnswer: 33101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 79. Let x(q) = 12*q - 4*q - 10*q. What is x(f(v))?\nAnswer: -8*v + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -1\/20*h**5 + 7\/16*h**4 + 0*h + 0 - 27*h**2 - h**3 - 1\/80*h**6. Factor u(s).\nAnswer: -3*(s - 1)**2*(s + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*a + 85, s - 25 = -a + 3*a. Let y(i) = -i**2 - 8*i - 6. Let t be y(-5). Let z be s*-2*t\/(-6). What is the highest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 3) to base 6\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281807926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 34c0 (base 15) in base 11?\nAnswer: 8467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -131*s - 35. Calculate f(-3).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.35 and 1.9.\nAnswer: -4.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 6*u + 1. Calculate m(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -22*o - 6. Let w be m(-13). Suppose w - 34 = 6*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39040, -78144, -117248?\nAnswer: -156352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*o**3 + 22*o + 112?\nAnswer: -12*o**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1214*o**3 - 174*o**2 - 143*o - 8922?\nAnswer: 7284*o - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-18390)\/(-22068)*4\/365\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 + 2*q**2)*(-417*q - 4 - q**3 + 417*q).\nAnswer: -2*q**5 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686b33 (base 12) to base 6.\nAnswer: 55451303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 56. Let z = 37 + g. Let q(r) = 6*r - 22. Is 34 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012202 (base 5) in base 9?\nAnswer: 48122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 215 = 3*a, s = 3*a - 68 - 167. Let v be (20 + -5)*4\/6. What is the highest common divisor of v and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 4.9. Let m = -60.039 - -0.039. Let f = -60 - m. Which is the nearest to f? (a) r (b) 1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 10*c + 5. Let q be k(9). Is 4\/q + (-766)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.252 - 11.452. Which is greater: b or -3\/1265?\nAnswer: -3\/1265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1021201?\nAnswer: 1021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2938 and -145\/6.\nAnswer: 8814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8914924 to 3 dps.\nAnswer: 4.891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y**2 - 66. Let r(a) = -1. Calculate f(s) - 66*r(s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10076*q - 427. Is r(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from {h: 5, d: 2, u: 7, p: 3}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/56)\/(686\/(-7203))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -77. Let u be 3\/l*(-104)\/(-4). List the prime factors of (u + 6)\/((-2)\/26).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/2227 or -334?\nAnswer: 48\/2227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29508 (base 16) to base 12\nAnswer: 81b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o + o**2)*(-4 + o + 4) + o**3 - 8*o**3 - 6*o**3 + (-o - 3*o + 7*o)*(o**2 - o + o) in the form j + u*o**2 + q*o**3 + f*o and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*a*o + 41*a - 2 wrt o.\nAnswer: 105*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + 15. Let m be ((-6)\/(-4))\/(n\/96). Factor 2\/7*r**2 - m*r + 8\/7.\nAnswer: 2*(r - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2 + 21789*a - 73533.\nAnswer: 4*a + 21789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159125?\nAnswer: 5, 23, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 97*t - 96. Sort -0.1, 2\/9, -6\/73, t, 1\/4 in ascending order.\nAnswer: -0.1, -6\/73, 2\/9, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*n**2 - 59*n**2 - 54*n**2 - 57*n**2 + 216*n**2 + 23.\nAnswer: -3*n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb70760 + -3?\nAnswer: bb70759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59381116 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829912 a multiple of 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 5. Let l(n) = 2*n - 4. Suppose 13 + 2 = k. Let d = -11 + k. Let c be 4\/5 - 266\/70. Determine c*x(f) + d*l(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93363653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, 19, 64, 117, 172, 223, 264, 289?\n\"Answer: -q**3 + 13*q**2 - q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 0, 9, -2 in decreasing order.\nAnswer: 9, 0, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-2)\/9*-6. Let f be (8\/(-10))\/(j\/(-10)). Suppose -f*p = -6727239 - 4072761. Round p to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022012120002 (base 3) to base 12.\nAnswer: 295025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -14*n**2 + 4*n. Let f be i(4). What is the hundreds digit of (633\/4)\/((-78)\/f) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*1*126\/(-14).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 - -2.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -2.38. Let y = i - 0.02. Let n = -0.2 - y. Which is the biggest value? (a) n (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - -93150\nAnswer: 93150.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76831863 from -53.71.\nAnswer: -76831916.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 - 4*j + 236 - 10*j)*(3 + 3 - 1).\nAnswer: -70*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 10*g**3\/7 + 1346*g**2\/7 - 10*g\/7 - 1346\/7 = 0?\nAnswer: -673\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1813, -11552, -37119, -86428, -167393?\nAnswer: -287928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 11 = 6*s - 4*s, -4*s - 27 = 3*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.76 - -3.76. Which is the third smallest value? (a) s (b) 4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 6, 0*p + 2*p + 3*h = 22331. List the prime factors of p.\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 233\/5062?\nAnswer: 233\/5062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1141 (b) 0.2 (c) 2 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Suppose 0 = v - y*w - 1, 10*w = -2*v + 5*w - 25. Let i = v + 8. Solve -i = 4*x - 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 6 + 21)*(0*h**2 + 8*h**2 - 4*h**2) - 2*h + 2*h**2 - h + 5*h to p*h**2 + k*h + i and give p.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -69a4?\nAnswer: -69a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11301003221 + -103?\nAnswer: -11301003330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/8 + (-31)\/62 + (-5 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:58 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68231090 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4)*(-16)\/6. Suppose 0 = 3*f + 3*p - 21, 2*p = a*f - 3*p + 8. What is the third derivative of l**3 - l**f - 29*l**4 + 15*l**2 + 6*l**2 wrt l?\nAnswer: -696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2011893 or -2011875?\nAnswer: -2011893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11295.1 - 11295. What is the nearest to 6\/31 in -1\/3, w, 4, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6615, 13229, 19843, 26457, 33071?\n\"Answer: 6614*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 + (8 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379273, 379281, 379301, 379339, 379401, 379493, 379621, 379791?\nAnswer: 380009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-417)\/(-23) - (-260 + 278))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -31*r**2\/2 - 184*r - 65. Let w be d(-6). Let m(c) = 4*c. Calculate m(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:55 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3013423432 (base 5) to base 13.\nAnswer: -13204a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/420 and 143\/276?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10220551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -967221368 by 2.\nAnswer: -483610684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48615082*z**3 - 2*z**2 + 670846*z.\nAnswer: 291690492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/2 + 59*r**3\/2 - 419*r**2 - 510*r + 900 = 0. Calculate r.\nAnswer: -2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223553.8456 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:27 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 152*p**3 - p - 1. Let j be w(-1). What are the prime factors of (-3)\/((-2)\/(j\/(-6)))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1.27.\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.104971827 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42898?\nAnswer: 2, 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 660 = 78*n - 8*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605*m**2 + 603*m**2 - 9*m - 15*m - m**3 + 7*m + 0*m**3 - 27*m**6 wrt m.\nAnswer: -3240*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 647377072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 6523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42075832 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-920)\/(-104) - 4\/(-26) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 - -5*20\/8. Which is the closest to -8\/19? (a) f (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139056.79*0.11.\nAnswer: -15296.2469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 669*c - 6*c**3 - c**5 - 671*c - 3*c**2 + 4*c**2 + (3*c**2 + c**2 + 0*c**2)*(2 - 2 - 2*c**3).\nAnswer: -9*c**5 - 6*c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:52 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 12*g**2 - 13*g - 16. Determine x(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*5 + 0 + sqrt(25)\/sqrt(5) + (sqrt(35)\/(sqrt(14)\/sqrt(2)) + sqrt(5) - -1*sqrt(405)) + -3)**2.\nAnswer: -162*sqrt(5) + 3654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3634 divided by 35339\nAnswer: -3634\/35339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -266, -864, -2036, -3974, -6870, -10916, -16304?\n\"Answer: -32*v**3 + v**2 + 5*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*1\/(-4) + 2. Let r = 1 + -1. Suppose r = -f + a + 3. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969730 rounded to the nearest 10000?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(-1 + 5 + (2*sqrt(99)*1 - (5*(sqrt(99) + -2) + sqrt(99)))))**2.\nAnswer: -3024*sqrt(11) + 16018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - 1. Let j(m) = -8*m + 3. What is 4*j(g) + 7*p(g)?\nAnswer: -4*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/14 + 250\/(-280). Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d + 12 - 3 = 0, -23 = -4*k + 5*d. Solve -k = -2*n + 4*n + 3*m, -5*m + 30 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-14)*(-1 - -3). Let r be (((-6417)\/920)\/93)\/((0 + 2)\/(-10)). Put -2\/3, r, p in ascending order.\nAnswer: -2\/3, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 707.000000741 - 707. Round j to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 756830064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 9. Let k(p) = -p - 3. Let a(r) = 6*d(r) + 17*k(r). Let q be a(11). Solve -3*j - 1 - q = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.3 times -0.5?\nAnswer: 12.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -137.8\nAnswer: -15.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-426)\/10 - (-1)\/(5\/3). Let u = p + 57. Suppose 3*l - 2*a - 16 = 0, 5*l + a = 2*a + u. Solve -3 = l*w + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 p when three letters picked without replacement from jmmmmpmmmmmmmjmmm?\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1743 - 1474*c + 879 + 864 in the form x + b*c and give b.\nAnswer: -1474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -4*c - 3\/2*c**2 + 7\/4*c**4 + 0 - c**3 - 3\/5*c**5. Solve u(w) = 0 for w.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4123 - 486*o + 1405 + 1314 + 1404.\nAnswer: -486*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/6)*v)\/v)\/v**(-1\/2)*v*v*v**(-5)*v**(1\/4)\/v assuming v is positive.\nAnswer: v**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 428, 438, 450?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -65*b**3 + 22*b**2 - 706. What is the second derivative of l(n) wrt n?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-8)*20\/12. Factor 1\/4 + 5\/4*y**4 - 5\/2*y**3 + q*y**2 - 1\/4*y**5 - 5\/4*y.\nAnswer: -(y - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 152880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyhno. What is prob of sequence ln?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5036188725 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1300) + sqrt(1300) + sqrt(1300)*-2)**2 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9349\/1400 + -7\/200. Find the common denominator of z and -6*(-513)\/4452 - 18\/63.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 1\/15*z**3 - 2\/15*z**4 - 68*z - 1\/25*z**5 + 0 + 2\/75*z**6 + 2\/5*z**2 + 1\/105*z**7. Determine m so that h(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*p - 719*p - 693*p + 31620 = 0 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 337, 670, 1239, 2056, 3133, 4482?\n\"Answer: 2*k**3 + 106*k**2 + k + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 7*g + 7*g + (-5*g + g + 2*g)*(1 + 2*g**2 - 1) in the form j*g**2 + x + a*g + d*g**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -13) + (-19 - -14)\/((-2)\/2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = a - 5*p, 4*a + 180 = 2*p + 152 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6768 + -6768.2. Which is the third smallest value? (a) g (b) 1762\/21 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 3117 - 16*v + 16630 + 0*v**2.\nAnswer: v**2 - 16*v + 19747","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/343, 146, -0.4, 0.4 in ascending order.\nAnswer: -0.4, -10\/343, 0.4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10526 + 17782 = 907*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12626890571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -198 + 184a2?\nAnswer: 18306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181366701 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82836, -165672, -248508, -331344, -414180, -497016?\nAnswer: -579852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32)\/(335\/3685).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9096 - -9097.5873. Let k = 1.59 - j. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 68. What is the greatest common divisor of 308 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*n + 5. Let q(a) = 11 + 65 - a**n + 43*a - 42*a. What is the remainder when q(0) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5400 by -100.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 87, 138, 227, 366, 567?\n\"Answer: 2*g**3 + g**2 + 8*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 7*p. Let o(u) = -5*u**2 + 21*u. Let c(b) = -3*o(b) + 8*r(b). What is the second derivative of c(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 175 = 685. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) - 6*sqrt(70)*-2 - sqrt(70)))\/((sqrt(110)*1)\/sqrt(11)*4).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45915\/1522934 + 11\/362. Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 1. Let l be j(1). Suppose -3*s + l = -13. Suppose -s*r = 3*x - 1170, 740 = 4*x + 5*r - 825. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3928, 2620, 1314, 10, -1292?\n\"Answer: p**2 - 1311*p + 5238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*1)\/(sqrt(12) - (sqrt(48) + sqrt(144)\/sqrt(3))\/sqrt(4)) + (sqrt(10)\/(-1*sqrt(405))*-5)**2.\nAnswer: -4*sqrt(2) + 50\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -28434*o**3 - 23*o**2 + 101*o - 64. Let w be m(16). What is w rounded to the nearest 1000000?\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + 1 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9. Suppose q = 4*m - s*q - 10, -1 = -m + q. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/288 and -119\/24?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -27 + (1 - -1) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59030 and 141672.\nAnswer: 708360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.91 - 5. Let l = 12091 - 12096. Which is the nearest to -1? (a) p (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*(-14)\/(-28) - (-1)\/1. Put 2, 4, l, -6 in ascending order.\nAnswer: -6, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d**2 - 2*d + 8. Let j be t(6). Let v = -267 - -268. What is the nearest to v in j, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938976515?\nAnswer: 3, 5, 7, 701, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/13, -2, -0.267, 2, 2\/11, 0.58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193290653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -17. Suppose 29 = m*s - 43. Let u(b) = b**2 + 12*b + 11. Let a be u(-12). Is a != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*f + 229 - 232, 4*f = 2*n - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -7074*t**2 - 3855381*t - 27795 = 0.\nAnswer: -545, -17\/2358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155132, -155134, -155136, -155138?\nAnswer: -155140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17091 and 1447671?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -170, 18, 2, -5, -3 in descending order.\nAnswer: 18, 2, -3, -5, -23, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 12*m - 23*m + 20*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9059, 7689, 6323, 4961?\n\"Answer: 2*z**2 - 1376*z + 10433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 694 - -14282. Calculate the greatest common factor of k and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/((o*((o\/o**(-5\/3)*o)\/o)\/o)\/o))\/o)\/o)*o**(-2\/3)\/o)\/(o**(-1))**(41\/5) assuming o is positive.\nAnswer: o**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/2 + 7*a - 8 = 0. What is a?\nAnswer: 2, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*w + 4*w + 3*w)*(6 - 1 + 8) + 2*w - 3*w - w - 2 + 2 - 3*w)*(3*w + w**2 - 3*w) - w**3 + 3*w**3 + 0*w**3.\nAnswer: 23*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 380010908 to the power of 1\/2, to the nearest integer?\nAnswer: 19494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 1. Let l(g) = -3*g - 2. Let y(b) = 4*l(b) + 5*u(b). Let m be y(-2). What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 48 = 5*z, 14 = -z + 2*z + 5*r. Let i be -1 - -1 - -1*z. Let h = i - -4. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 g when four letters picked without replacement from kkkkkkgkkkkkkkkkkk?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 81 (b) -3\/7 (c) 2\/51 (d) 0.4 (e) -4 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.06 (b) -634 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2)\/((-24)\/40). Which is the third biggest value? (a) 5 (b) -2\/3 (c) m (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4*u + 8)*(63 + 10 - 5 + 1).\nAnswer: -276*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {m: 3, g: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b1b - -a3?\nAnswer: -2a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 0*i - 4*i + 68*i - 87*i - 80*i - i - 1 + 1 + (i - 3*i + i)*(1 - 6 + 3) + 2*i - 3*i + 4*i - 6 + 4*i + 6 to m*i + c and give m.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 5. Let r(m) = m**3 + 3*m**2 - 2*m + 4. Let p be r(-4). Let b be g(p). Let l(z) = -z**2. Let h be l(b). Which is smaller: -1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9238 to one dp.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(448) - 6*(sqrt(448) + 2)))**2*4.\nAnswer: 1244160*sqrt(7) + 14701824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1770558442 rounded to 4 dps?\nAnswer: 0.1771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 32256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23992900 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 639?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f + 4. Is 26 a factor of x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -258, -343, -376, -345, -238, -43, 252?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10497 divided by 3?\nAnswer: 3499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 208114*d + 420433*d - 212316*d.\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5524 - -5501. Sort 2, -1\/6, v, 4, -4 in decreasing order.\nAnswer: 4, 2, -1\/6, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12987 and -12987 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -11, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by 3.\nAnswer: -242\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**(-5\/7))**(1\/3)\/((t*t\/(t**(-1\/3)\/t))**(-2\/21)*(t**(2\/7))**(-41)) assuming t is positive.\nAnswer: t**(794\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, j: 4}. Give prob of picking 1 r and 3 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1) - (4 + -16). Let t be -4 - 7\/((-14)\/12). What is the second derivative of -8 + 5*z**4 + c - t*z wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(4*m - 3*m - 3*m) + (1 + 2 + 0)*(1 - 13*m - 1) + (-3 + 2 + 2)*(5*m - 28 + 28).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 7*j - 65 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -238*m**3\/3 + 12. Let h(w) = -2*w**2. Give k(h(r)).\nAnswer: -952*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052768 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:39 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, t: 4}. Give prob of sequence sst.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475955509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 50890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p - 4*p. Suppose 0 = 2*d, q + 4*d - 114 = -p*q. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 5, -1 in decreasing order.\nAnswer: 5, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533141 - 524905 = 116*c for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*a + 4220 = 1528, 0 = 2*f + 4*a - 1344. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 10. Let b be l(13). Suppose -5*t - 3*n = 39 - 7, 0 = b*t + 2*n + 20. What is the fourth biggest value in 0.1, -1\/7, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 2*p + 4*p)*(4*p**3 - p**3 + 0*p**3) + 3*p**2 - 3*p**2 - 2 - 2*p**4.\nAnswer: -8*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(76)*2*-6)\/(sqrt(100)*6))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 64*f + 13.\nAnswer: 64*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 + 3*h + 4. Suppose 3*f - 12 = -3*f. Suppose 2*j = -f*u + 4*j - 10, -j = -5*u - 13. Is 9 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = -224. Let b be (-2)\/10 + (-5)\/(-25)*n. Find the third derivative of -16*h**2 - b*h**6 - 6*h**6 + 12*h**2 wrt h.\nAnswer: -2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h - 8. Let x be v(-1). Suppose -9*d + 25 = -x*d. Suppose 5*n = 4*n + p + 110, -4*p + 568 = d*n. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkkkkkgkgkskmskmkkk. What is prob of picking 1 k and 1 s?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 7, k: 5}. Give prob of sequence ukuk.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 23. Let u = -12 + w. Are u and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*i - w, 7*i = 2*i + 5*w + 115. Let g = i + -17. Let y(r) = r**2 + 2*r + 2. Let z(f) = -8*f**2 - 17*f - 17. What is g*z(d) + 51*y(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 4. Let u be g(-8). Suppose u*d - 22 - 38 = 0. Find the third derivative of 0*z**3 - d*z**3 + 24 + 9*z**2 - 24 wrt z.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1702241*i*o**2*v**2 - i*o**2*v - 2*i*o**2 + 7*i*o*v**2 - 8*i + 110*o**2 + o*v - 76 wrt v?\nAnswer: -3404482*i*o**2 + 14*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 2*i - 4. Suppose -5*q = -4*q. Suppose q = -3*c + 4 + 56. What is the lowest common multiple of d(3) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2343 (b) 1.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 653.15235 - 0.05235. Round v to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -11*u**3\/6 - 5*u**2 + 12*u. Let f be n(-10). Let v = 403 + f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 17*y**6\/120 - 38*y**4\/3 + 28*y**2. What is the second derivative of l(f) wrt f?\nAnswer: 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let i(q) = -1121*q**2 + 133*q. Let d(c) = 17*c**2 - 2*c. Let r(g) = 266*d(g) + 4*i(g). What is n(r(f))?\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omnomoo. What is prob of picking 2 o and 1 m?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from lhllalhlllllllalalll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 859 + 47*c - 859 - 16*c. Let o(j) = -j**2 + 4*j + 3. Let n be o(5). Let t(p) = 1426*p. Let x(y) = n*t(y) + 93*s(y). Let z(m) = 2*m. Give x(z(l)).\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 66*d - 2073. What are the prime factors of j(-53)?\nAnswer: 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 788104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (31 + (4 - 34))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 1, c: 2, u: 1, e: 1, z: 1}. What is prob of sequence pzf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10382804, -10383015, -10383226, -10383437?\nAnswer: -10383648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 126089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6352, 12692, 19020, 25336?\n\"Answer: -6*u**2 + 6358*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4\/4 + 3*b**3\/2 - 3*b\/2 + 3\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and 871 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/3 - 29\/6. Let a = -28 - -33. What is the nearest to q in 1, -5, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47\/65 + 1\/13. What is the second smallest value in -5, g, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-2)\/5 - 18\/(-5). Find a such that -3 - 15*a + 0*a**3 + 17*a**2 - s - a**3 - 26*a**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1422*s**2 - 393 wrt s?\nAnswer: -2844*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8079*o**2 + 2*o**3 + 6 + 32*o + 8080*o**2 - 2*o as a + m*o + w*o**3 + u*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/44 and 43\/325112.\nAnswer: 3576232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.9877+-5465\nAnswer: -5464.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Suppose 0 = -2*w - 12 + 4. Let g be d\/2 + (-29202)\/w. Round g to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hph when three letters picked without replacement from {h: 2, d: 2, p: 11}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 + 0*c**2)*(7*c - 3*c - 2*c) + 3*c**3 + 8*c**3 - 60*c**3 - 80*c**3 - 1057*c**2 + 1057*c**2.\nAnswer: -125*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**5\/200 + 731*x**4\/120 + 5*x + 953. Factor z(h).\nAnswer: h**2*(h + 731)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.535504 months in millennia?\nAnswer: 0.000711292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Let g be (5\/(-75))\/(3\/(-6)). Which is the closest to -0.07? (a) g (b) l (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67343355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 6\/7 (c) 354\/5 (d) 22.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0676 + 1211.2964.\nAnswer: 1211.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 2*s + 5*b, 9*s - 5*b - 660 = 4*s. Is 33 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose 9*l = r*l - 5*u - 10, 2*u = -l. Are l and -4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 17 = -11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6492, -6477, -6464, -6453, -6444?\nAnswer: -6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1484*o + 1558*o + 5659 - 627 = 0 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**11\/665280 - s**9\/40320 + s**8\/20160 + s**5\/10 - 15*s**2. Let h(o) be the third derivative of n(o). Factor h(d).\nAnswer: d**2*(d - 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216476999 is divided by 359.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4235 (b) 2\/3 (c) -1 (d) -12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -10) + 2 + 12 - -14) + -2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*14\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*v + 98, 0 = -3*v + 3*s + 2*s + 137. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*p + 120*p - 8. Suppose i - m - 2700 = 6*i, -p*m = 0. Round i to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -3*u, 2*u + r = -0*u + 11. Calculate the common denominator of -2 + 13 + -6 - 111\/(-6) and u\/14 - 69\/168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*f + 4*v + 21 = 0, -10*f + 14 = -8*f + 5*v for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ddfxood.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -563, -558, -551, -542, -531, -518?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*p**2*y**3 + 219856*p**2*y - p**2 - 83*p*y + 415*p - 2267*y**3 wrt p?\nAnswer: -28*y**3 + 439712*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + 15*o**2 + 4*o + 0*o**2 to d*o + p + h*o**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(1190\/84)\/(-17).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(539) + -2 + sqrt(539) + -4)*-3)**2.\nAnswer: -24192*sqrt(11) + 315648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (186\/10)\/((-4)\/(-20)). Suppose -2*c + s = c + 2*k, -4*c + 4*k = -124. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 73938960523077.\nAnswer: 73938960523082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/12 - 5*i**3\/3 - 21*i**2\/2 + i - 2. Calculate the smallest common multiple of l(-5) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/169932 and 113\/224917140?\nAnswer: 1574419980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**2 + 193*a + 1657 wrt a?\nAnswer: 8*a + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + o)*(2 - 481*o**2 + 483*o**2 + 0 + 26*o).\nAnswer: 4*o**3 + 52*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdeedzdddeebzdbledz. What is prob of sequence lz?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.531219 rounded to zero decimal places?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/25 + 19\/5. Let r be o\/14 - (-206)\/14. Suppose 4*v = -20, -6*a - r = -3*a + 3*v. Solve a = -3*g - 2*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 159\/788 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 28*z - 1155. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752555878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 10584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120201103001 - 230?\nAnswer: 120201102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-20))\/((-102)\/(-85)). Sort -2\/13, 5, v in increasing order.\nAnswer: v, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 9. Let y be h(-6). Let l be (3\/(-2))\/(y\/(-1120)). What are the prime factors of l\/8 - 6\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53937 + -36117. List the prime factors of t.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 81*a + 297. Determine r(77).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -65*n - 2823. What is w(-43)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -176. Let u = i - 37. Sort -4, u, 1.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137126, 274335, 411622, 548987, 686430, 823951?\nAnswer: 961550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 14) to base 15.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600088 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25092, -24968, -24844, -24720, -24596, -24472?\n\"Answer: 124*f - 25216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 53*s. Let t(b) = 11*b - 1. Let f(n) = o(n) - 5*t(n). Let p(q) be the second derivative of -2*q**3\/3 + 5*q**2 - 6*q. Determine -7*f(r) + 4*p(r).\nAnswer: -2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 82296 = 81*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 + -1000110010?\nAnswer: -1010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/4 - 23*h**3\/3 + 11*h**2 - 12*h - 37. Let i be s(22). Suppose 31 + 9 = -4*z + 4*l, 5*l = -z - 22. Are z and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92595303 + -8.9.\nAnswer: 92595294.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 225 = 4*m, -6*y = 4*m - 2*y - 200. Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/((-32)\/((-4480)\/(-2220))*7\/(-5))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 37 + 32 - 26 - 14*j. Let l be f(-4). Let m(a) = a**2 - 8*a - 2. What is m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1943 and 2668.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(2\/9)))**(1\/54)\/((i\/(i*i**(-10)*i))\/(i\/((i*i**1)\/i))))**(-5) assuming i is positive.\nAnswer: i**(10930\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*-4*-6)\/(sqrt(9) + sqrt(576)*-1 - sqrt(54)\/sqrt(96)).\nAnswer: 96*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-9.9885.\nAnswer: -1.9977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3042*t**3 + 8*t**2 - 1200*t wrt t.\nAnswer: 18252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icc when three letters picked without replacement from {m: 2, i: 1, y: 1, s: 2, c: 9, a: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 327680*h**4 + 2867200*h**3 + 9408000*h**2 + 13720000*h + 7503125.\nAnswer: 5*(16*h + 35)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:53 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -383, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 14*z**3 - 11*z**3 + (0*z - 2*z**3 + 0*z)*(4 - 4 + 1) + (-13*z**2 - 17*z**2 + 6*z**2)*(-2*z + 2*z - 2*z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {c: 1, f: 2, e: 1, o: 2, n: 1, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36631266 or 36631265?\nAnswer: 36631265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*j - 112, 6*j - j = 20. Suppose 0*g + 2*g - 8 = 0. Suppose -g*t + 43 - 15 = 0. Calculate the remainder when k is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 8*h - 10. Let z be a(-9). Which is greater: -2\/5 or z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 > 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -3. Suppose -11*r + 153 = -10*r. What is the remainder when r is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 216\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -191020 by -5.\nAnswer: 38204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8*n - 172. Let l = n + -16. Suppose -4*j + l = -209. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033587 is divided by 60799.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h - 82*h - 24*h)*(3*h - h - 4*h) - 2*h**2 - 2*h + 2*h.\nAnswer: 230*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2203711, 2203740, 2203791, 2203864, 2203959, 2204076, 2204215?\n\"Answer: 11*p**2 - 4*p + 2203704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23375376 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8347850.01 and 9.972.\nAnswer: 8347859.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1)*h)\/(h*(h\/(h\/(h*(h**6\/h)\/h*h)))\/h)*(h\/(h\/(h**(1\/4)\/h)))**(-2\/13) assuming h is positive.\nAnswer: h**(-127\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4892469466 to 3 dps.\nAnswer: -0.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330201024 - 1?\nAnswer: -330201030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 - (24 - -3)). Let p be ((-7)\/(-3))\/((-9)\/c). Suppose -4*o + p*o - 4*k - 20 = 0, -4*o - 3*k = -60. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405 and 40.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.416 - 0.016. Let n = 7.6 - y. Let o = -17\/30 + 1\/15. Which is the fourth smallest value? (a) 2 (b) n (c) o (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 1. Let p(x) = x**3 + 8*x**2 - 8*x + 8. Let d be p(-9). What is q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2152? (a) 3\/106 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -6315.\nAnswer: -25260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5170*b**2 + 11*b + 19. Let c be h(-2). Suppose 51763 = 8*j - c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43774 is divided by 1096?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 443.59 - 439. What is m rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 6 = 11*o. Let b = -1.5 - -2. Let j = b + 3.5. Sort o, j, -4 in ascending order.\nAnswer: -4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1483782 by 3.\nAnswer: 494594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12405069153 to the nearest one hundred thousand.\nAnswer: -12405100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4927 is divided by 1193.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4637 + -0.4637. Which is the closest to s? (a) -2 (b) -0.08 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5199368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 23*d - 32*d - 2*d**3.\nAnswer: -2*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 11869, -5, -4.\nAnswer: -5, -4, 3, 8, 11869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -39*y**3 - 10*y - 1. Let p(a) = 40*a**3 + 12*a. Calculate -6*d(z) - 5*p(z).\nAnswer: 34*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 2*i - 2*i + ((0*i + 3*i - 2*i)*(2 - 3 + 3) - i + 6*i - 4*i + 2 - 2 - i - 28 - 19*i + 28)*(i - i + i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 - 3 + 11*o**2 + 1 + 6683*o.\nAnswer: -o**2 + 6683*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81029 < 81029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/24 - (-205)\/4. Suppose 3*i = -r + 192. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4138.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 5. Let b(x) = 4*x - 4. Give -5*b(a) - 6*p(a).\nAnswer: -2*a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 110 = -p. Let n = -44 + p. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025187 to 7 dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/18)\/2)\/((-3)\/18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36800.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*b**4 - 338*b - 46*b**3 - 291\/2 - 239*b**2.\nAnswer: (b - 97)*(b + 1)**2*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2\/5, -2, 14, 1\/4 in decreasing order.\nAnswer: 14, 1\/4, -0.08, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**7\/525 + 7*d**6\/300 - d**5\/30 - 7*d**4\/60 + 2*d**3\/5 + 14*d**2. Find k, given that q(k) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35a66 (base 14) in base 13?\nAnswer: -47834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-1.84.\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y + 25983801*y**2 - 21*y**3 - 25983801*y**2.\nAnswer: -21*y**3 - 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(40) - sqrt(21))\/sqrt(3) + -2.\nAnswer: -2 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6923\/9890 + (-151)\/30\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 - 90*l**4 - 585*l**3 - 1290*l**2 - 792*l = 0.\nAnswer: -22, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 46, -23, 4, -4, -3.\nAnswer: -80, -23, -4, -3, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 1.71?\nAnswer: 2.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) -2047 (c) 4\/7 (d) 0.5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 6. Let o be l(6). Suppose 1206*x + 896 = 1262*x. Let b be (o - 6\/9)\/(x\/(-12)). Sort -1, b, 3, 2\/9.\nAnswer: -1, 2\/9, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from ihguudguuugihhx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/5352 and 25\/32.\nAnswer: 21408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(-6*1*sqrt(1700) - (sqrt(1700) - (((sqrt(1700) + -2 + sqrt(1700) - sqrt(1700)) + sqrt(1700) + 4 - sqrt(1700)) + sqrt(1700))))*4)**2.\nAnswer: -259200*sqrt(17) + 55085184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23481656, 23481660, 23481666, 23481674, 23481684, 23481696, 23481710?\n\"Answer: o**2 + o + 23481654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**5\/60 + y**4\/18 - y**3\/6 + 9*y + 29. Let o(h) be the first derivative of i(h). What is l in o(l) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2980 + 25*s - 2980 in the form c + b*s and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*k = 2*k + 156, 4*g - 3*k - 155 = 0. Suppose 1248 = 480*q - 486*q. Calculate the remainder when g is divided by (q\/40)\/((-14)\/35).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 64, 197, 436, 817, 1376, 2149?\nAnswer: 3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - ((1 - -15) + -10). Suppose 4*z = -z + 10. Sort 4, x, -2, z in decreasing order.\nAnswer: 4, x, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -342.3645 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 600310, 600313, 600316, 600319, 600322, 600325?\n\"Answer: 3*r + 600307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 11550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 5*g**4\/24 - g**3\/3 - 2*g**2 + 13*g. Let z(b) = 1. Calculate q(f) + 3*z(f).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -184, -273, -442, -709, -1092, -1609, -2278, -3117?\n\"Answer: -3*k**3 - 22*k**2 - 2*k - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 25*r + 26*r = 924 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/21*840\/(-720))\/(-2*(-4)\/16)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, a: 1, j: 4, d: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a**5 + 9058*a**4 - 277334*a**3 + 2758814*a**2 + 1645232*a + 238328 = 0. What is a?\nAnswer: -2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57, 103, 149, 195, 241, 287?\n\"Answer: 46*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -545 != 163\/1119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 11200?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9717183, 19434375, 29151567, 38868759?\n\"Answer: 9717192*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i. Let x be 3 + -3 + 5*2. Let j = -2707 - -2709. Let u(p) = 8*p**j - 16*p**2 + x*p**2. What is u(w(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9777.9 + 9778. Which is the nearest to 0? (a) 2 (b) k (c) -0.5 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 12021020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6340?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-2\/3)\/r)*r)*r)**40)**(-35) assuming r is positive.\nAnswer: r**(7000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066606 less than 1569.3?\nAnswer: 1569.2933394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 17*s - 1. Let r be u(-1). Let z = 52 + r. Let p = z - 34. Put p, -3, 5 in decreasing order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10230 and 12090.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 11*n + 1. Suppose -8 = 4*k - 3*o, -2*k - 4*o - 31 = k. Let v be m(k). What are the prime factors of 6\/4 + -1*(-51)\/v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40240 (base 5) to base 7\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 13005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1041*f + 33355 + 27023 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 24977*m - 4 + 24979*m + 1.\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785, -808, -847, -902, -973?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110771407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kxkkkkxkkkkdkkxxxxx?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = t + 2*x - 37 + 22, 39 = 3*t - t + 3*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 112. Let n(y) = 9*y + 92. Let m(v) = -6*l(v) + 5*n(v). Let j(i) = -2*i. Calculate m(j(b)).\nAnswer: -6*b - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 47, 20, -83, -292?\n\"Answer: -5*r**3 + 7*r**2 + 33*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**3 - 2*g**2 - 8 - 18*g**3 + 2*g**2 + 10.\nAnswer: 4*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165.469ml in litres?\nAnswer: 3.165469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5396 - 5400. Which is the nearest to -1? (a) -2 (b) o (c) 0.1241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 4187.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1412 - -144431342?\nAnswer: 144433304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c77d0 - -5?\nAnswer: -2c77cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p**3 + 3223088*p**2 + 7520596*p + 2148744 = 0. What is p?\nAnswer: -2, -1\/3, 268593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440 is divided by 158?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20019403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1792, -1964, -2132, -2296, -2456?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1412\/13809 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 15 + 15 - 36 + 55*y**2.\nAnswer: 55*y**2 - 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.033 + 2.967. Sort -0.7, -0.03, 5, j, 1.\nAnswer: -0.7, -0.03, 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**5 + 34*a**4 + 6*a**3 - 34*a**2 + 2*a - 6. Let w(h) = -h**5 - h**4 + h**3 + h**2 + h + 1. Let q(v) = o(v) + 6*w(v). What is j in q(j) = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -154*t**2 + 127*t + 4. What is w(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -4, -3, -3099\/22, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 20*u. What are the prime factors of (u - 34)*(-756)\/24?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 4. Let a = -4 - 0. Let z be (1\/(-2))\/(1\/(-28)). Let s(i) = i**3 - 14*i**2 + i - 9. Let n be s(z). Let v(c) = 4*c + 5. What is a*v(b) + n*o(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 5*l**4 - 180 - l**2 + 32*l**3 + 3*l**2 + 364 - 185 in the form u + r*l**3 + n*l + s*l**2 + x*l**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 8*h**2 - 9*h + 4. Suppose 19 = -7*r + 82. Determine z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -846*z + 2507. Calculate s(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 3*j + 5)*(-9 + 10 + 5*j - 16*j).\nAnswer: -33*j**2 - 19*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*g - 2*g. Let n = -8 + g. Suppose n*h = -h. Is -5\/13 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/3 + 512*b**4 + 414814*b**3\/3 + 14768160*b**2 + 447782400*b + 433152000 = 0.\nAnswer: -240, -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50272 and 149920.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953*g - 17*g + 89839 - 6315 = -262*g for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264138 * -0.21.\nAnswer: -55468.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007086952 to seven decimal places.\nAnswer: -0.0000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*j = -335*j + 3. What is the fifth biggest value in -1, j, -5, 2\/3, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114811592 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 59, 77, 115, 179, 275, 409?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -5317, -12000, -21355, -33382, -48081?\nAnswer: -65452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1557, -3117, -5715, -9351, -14025?\n\"Answer: -519*c**2 - 3*c - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 1 + (-13038)\/738.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 2509*m - 2515*m + 51, 38 = -2*b - 2*m for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322703.\nAnswer: 313, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(72))\/(1*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, f: 1}. Give prob of sequence nfn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -45879+31.2\nAnswer: -45847.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:17 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 592\/518*14\/(-12)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmwmvgmmwmmwmmv. What is prob of sequence gg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1215)\/60)\/(-27))\/(171\/12).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w + 3125 = 81*w. Let y = -1874\/3 + w. Factor y*o**2 - 35\/9*o - 4\/3.\nAnswer: (o - 12)*(3*o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65674, 65532, 65390?\n\"Answer: -142*l + 65816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:54 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26716*o = 24470*o + 157220 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.3 - -28. Let d = j - -22. Let l be (8\/(-3))\/2 - (-5202)\/3213. Sort -2, 1\/3, d, l in descending order.\nAnswer: 1\/3, l, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d + 25. Let c(v) = 4*v - 8. Let i = 5532 - 5540. What is i*c(k) - 3*s(k)?\nAnswer: k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:40 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-181*w**2 - 17*w**4 + 181*w**2) + 258*w**3 - 258*w**3 + 65*w**4.\nAnswer: 82*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2)*(-1 + 3 + 0) + 1 + 2 - 1 + 2 + 0 + 0)*(9*l + 6*l - 4*l) to b*l + y and give b.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-10))\/(2\/(-28)). Let j(n) = w + 0*n**2 - 26*n - 3*n**2 + 2*n**2. Let y be j(-7). What is the greatest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33158, -33159, -33160?\nAnswer: -33161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 10*o**2 - 13*o - 6. Let z be w(-11). Suppose -z*l - 700 = -18*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 30281\/9 (c) -40\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*f + 2672 + 585 - 506 = 0. Solve f*t - 14 = 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266, -5, 1\/72.\nAnswer: -266, -5, 1\/72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 0*d**2 + d**2 + (-17*d - 5*d + 4*d)*(2*d + 5 - 5) + 4*d - 4*d + 2*d**2 to m + w*d + a*d**2 and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-656)\/(-41) - (-6 + 13). Suppose -2*g - 2 = 0, 4*s = -7*g + 3*g + 128. Calculate the greatest common divisor of y and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*i + 418, 5*v = -2*i + 7*i + 1045. Suppose r + 3*x = 100, -2*r = -x - v + 23. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33562187, -33562189, -33562191, -33562193, -33562195?\n\"Answer: -2*g - 33562185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (-5 + sqrt(325)*1 + (sqrt(325) - sqrt(325)*-2)*-3 - (-3 + 1*sqrt(325) + 3))**2).\nAnswer: -52698 - 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*h + 43 = h + 52, -17 = 5*i + 3*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7759*j**3 - 28*j - 2 - 7763*j**3 + 15573*j**3.\nAnswer: 51*j**3 - 28*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197\/9 + 22. Let s(m) = -m**2 - 10*m + 10. Let g be 3\/7 - (-160)\/(-14). Let t be s(g). Is i less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/6 (c) -3\/2 (d) -0.5 (e) 3597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g. Let h be x(-1). Suppose 0 = -5*m - y + 107, -h*m - 7*y + 3*y = -92. Solve m*i**2 + 4\/3 + 32\/3*i = 0.\nAnswer: -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 3)*12\/(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 - 3*o - 5. Let b(p) = 4*p**2 - 2*p - 3. Let h(q) = 5*b(q) - 3*g(q). Let i(x) = -4*x**2 + 2*x - 1. What is -5*h(w) - 2*i(w)?\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1312 + 0.0688. Let g = 47 - 140\/3. Which is the closest to -1\/5? (a) 1 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -57cc2b0?\nAnswer: -57cc2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 7. Let g be (-8)\/(-24) + (-20)\/6. Let w(v) = -v + 3. Let p(d) = g*n(d) + 7*w(d). Let u(h) = 18*h**2. Determine u(p(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**6\/21 + 6*o**5\/35 + o**4\/14 - 2*o**3\/7 - 2*o**2\/7 - 4. Solve z(p) = 0 for p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 3\/2 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -447.48 - -446.18. Which is bigger: -28\/47 or o?\nAnswer: -28\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6161720.\nAnswer: 2, 5, 154043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c - 17. Give o(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 56. Let t(a) be the first derivative of 0*a**3 + 0*a + 0*a**4 + 3\/2*a**2 + 3 + 1\/5*a**f. Find the second derivative of t(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*c - 205 - 208 + 413 to the form m + y*c and give y.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 58*q**2 + q + 81. Let v be n(-9). Suppose 11*h - v = -7*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*l - 3 = 0, -5*m + 2*m - 2*l + 9 = 0. Suppose 2*c - 8 = -2*g, 2*c + 24 = m*g + 12. Solve c = -j + j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xorg when four letters picked without replacement from {o: 2, r: 1, x: 2, g: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + w**3 - w**3 - 31*w**2.\nAnswer: 2*w**3 - 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/576 and 67\/11328.\nAnswer: 33984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -30*g + 33*g. Is 31 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 3*i - 3, -29 = -4*a - i. Suppose -76 = -a*l + 374. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412.1194 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1732268654 + -0.19293.\nAnswer: -1732268654.19293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -805*x + 16887. What is v(21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*r + 30 = 0, 34*h - 2*r + 34 = 29*h. Let i(q) = 4*q**3 + 4*q**2 - 8*q. Let m(c) = -4*c**3 - 3*c**2 + 7*c. Calculate h*i(s) - 5*m(s).\nAnswer: 4*s**3 - s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 905, 2047, 3657, 5741, 8305?\nAnswer: 11355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + -9 + 93 + (-6 - 41)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 397750 and 228975.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44351, -177496, -399379, -710000?\nAnswer: -1109359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387 - 241. Suppose -u - 2*z = 4*u - m, -4*z + 12 = 0. Solve -3*q + 4*i + u = 0, -2*i - 23 = -3*q - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.935651 - -1.937. Round b to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 1, l: 1, c: 1, j: 1}. Give prob of sequence calj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1885 in descending order.\nAnswer: 1885, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2140434 (base 5) to base 14\nAnswer: d6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -383*d - 760*d**2 - 73*d**2 - 833*d - 50*d wrt d?\nAnswer: -1666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from kkkkukkkkukkk?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(432) + 0 + sqrt(432))*2.\nAnswer: -1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5)*(-4 - 696\/(-78) - 5)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 113, 166, 217, 266, 313, 358?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31087, 31095, 31105, 31117, 31131, 31147?\nAnswer: 31165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 93410?\nAnswer: -93407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((110\/66)\/((-25)\/(-10)))\/((-8)\/492)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**2 - 6*n + 26. Let s(f) = -f**2 + 3*f + 3. Determine -3*s(x) - u(x).\nAnswer: -5*x**2 - 3*x - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = w - 5, w + 78 = -2*k + 92. Let d(n) be the second derivative of 5\/6*n**3 + 45*n - k*n**2 + 0. Give d(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34905, -34904, -34903, -34902?\n\"Answer: h - 34906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15485710.5 rounded to the nearest one hundred thousand?\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 353, -0.4, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 182, 134, 86?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 - 43 = 0. Suppose 5 + 70 = -5*l. What are the prime factors of (h + l\/5)*-2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 9 - (-7 - (3 - 9 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/18 - (-5)\/(90\/(-4)). Suppose -6*y + 273 = -w*y. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 8*x + 8. Suppose 2*m - x = 4*m. Suppose c - 14 = -2*c - 4*f, 4*f = -2*c + 12. Sort c, 1, m in descending order.\nAnswer: c, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let z(i) = -144850702*i**2. Give z(c(b)).\nAnswer: -579402808*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6027, 6108, 6243, 6432, 6675?\nAnswer: 6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -7. Let o = 436 + -434. Let d be (-575)\/175 - (0 - o\/7). What is the closest to -1 in 5, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208.2 - 14.\nAnswer: -222.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**4 + 13725*m**3 - 9848670*m**2 + 582685600*m + 592548000 = 0.\nAnswer: -1, 66, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3 + 3 + (3 - 4 + 0)*(0*p**2 + p**2 - 2*p**2) + 17*p**2 - 34*p**2 + 14*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 11. Let k be u(-5). Let c be 6\/(-4) + 22\/k. Find the third derivative of 0*n**6 - n**6 - c*n**2 + 2*n**6 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -104042222?\nAnswer: 104042232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/18 + p**5\/15 - p**4\/6 - 2*p**3\/9 + p**2\/6 + p\/3 + 27. Let j(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -70*s**3 - 48*s**2 - s - 1. Suppose 20 = k - d, -3*k + 5*d = -21 - 39. Calculate the remainder when (302\/(-8))\/((-5)\/k) is divided by n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87.5 - 87.4099. Round z to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + s)*(197*s**2 - 135*s**2 - 188*s**2) - 3*s**3 + 4*s**3 + s**3.\nAnswer: 254*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2 + 48*(-132)\/(-1089)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 32538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*m + 1352 = 902*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187824, -372478, -557132, -741786, -926440?\nAnswer: -1111094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 2 + 7 + 27. Suppose 2*a + k - 102 = 0. What is the remainder when a is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 16. Let p = -0.8 - 0.2. Let j = p + 0. Which is the biggest value? (a) o (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0438 + -0.04379787. What is p rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 35*b - 5. Let h be z(17). Let i = 3723 - h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a millennium in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 537 (b) 0.4 (c) 7 (d) 123 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2913\nAnswer: -2\/2913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -4948, -9903, -14864?\n\"Answer: -3*y**2 - 4940*y + 4944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4 in ascending order.\nAnswer: -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + b - 9 = 0, 0 = -c + 30*b - 26*b + 4. Solve 11 = -c*u + 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.62 + -0.12. Let n be ((-4)\/6)\/(2\/(-6)). Suppose 1 = f - 3*w, -6*f + 3*w = -4*f - 2. Which is the second biggest value? (a) n (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7302 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -45. Let a = p + 19.92. Suppose -4 = 4*w + 3*l, 0 = 8*w - 3*w - 3*l - 22. Put a, 0, w in increasing order.\nAnswer: a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j**6)\/((j**(3\/8)\/j)\/j**(-2\/7)))**(-16) assuming j is positive.\nAnswer: j**(682\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*m - 162*m + 297*m.\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (292\/(-8) - -20)*20\/(-22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 4*r + 35, -21 = -2*l + 3*r. Let z(p) = 2*p. Let x(k) = 2*k. Let y(b) = l*z(b) - 2*x(b). Let s(u) = 5*u**2 - 2*u**2 - u**2. Give y(s(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*l**3 + 77*l**3 - 56*l**3 + 40*l**3.\nAnswer: -174*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8599.71 minutes in microseconds?\nAnswer: 515982600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24.23, -1, 0.1, -3, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -154263, -153335, -152381, -151395, -150371, -149303?\n\"Answer: s**3 + 7*s**2 + 900*s - 155171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66584282.\nAnswer: 2, 89, 374069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -10. Let g = 1 - u. Solve z + g - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g - 18. Let i(r) = 7*r - 6. Let k(x) = 8*i(x) - 3*n(x). Let m be k(3). Is -6*(-3 + (-3)\/m) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*c + 6*n + 21, 43176*c - 5 = 43169*c - 3*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2565 and 57\/50?\nAnswer: 25650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101141 (base 6) to base 13.\nAnswer: -3886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/7)*x)\/x)\/(x\/(x\/(x\/x**(-9\/2)))))**(-1\/9) assuming x is positive.\nAnswer: x**(73\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118490726.\nAnswer: 2, 19, 157, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*c**2 - 67 + 76*c**2 - 35*c**2 in the form j*c**2 + p*c + i and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/11)\/f*f\/(f*f\/(f\/(f*f**(-5\/2))))*(f**(-2\/7))**(-5\/4) assuming f is positive.\nAnswer: f**(59\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -256ee67 + -5?\nAnswer: -256ee6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42326625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 79744 divided by -2492\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 - 4*p**3 + 219 + 5*p**3.\nAnswer: p**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256796800 a multiple of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 122796 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 5 (b) -2\/7 (c) -2\/97 (d) -3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from niniiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20437.733 rounded to the nearest 10?\nAnswer: -20440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/(-175) + 16\/7. Solve 0 = 3*w + n + 4*n - 4, i*w + 3*n = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a factor of 1957894624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sst. Give prob of sequence sst.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 8*v - 5. Suppose -m - 3 = 0, 4*m + 8 = 3*j - 13. Suppose j*a = -5*q - a - 37, q + 5*a = -20. Is p(q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-26)*2 + 0\/(3 + -11). Suppose 4\/13*g - b*g**2 + 0 = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 104. Let o = 23 + n. Let d(s) = 10*s**2 + 2*s + 3. Let f be d(3). What is the highest common divisor of o and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r*r**(-3\/8))\/(r\/((r\/(r*r**(-2)*r))\/r))**(-3\/5) assuming r is positive.\nAnswer: r**(-31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + -0.6. Let p = -8352 + 75044\/9. Let k = p + 14. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19676 >= -8416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/9)\/x**(-1\/3)*x*(x*x**(1\/4))\/x*x\/(x\/(((x\/x**(4\/3))\/x)\/x*x))*x assuming x is positive.\nAnswer: x**(61\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/217 + 1\/7. Suppose 4*v - 4 = s, -4*d + 0*v + 3*v = -17. Solve -10 + 25 = -d*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + 9*m**2 + 12*m - 6. Let q be x(10). Is 16\/(-72) + (-3)\/((-54)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.2059506 rounded to two dps?\nAnswer: 39.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 44*b**2 + 2*b - 44 = 0. What is b?\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z\/(z**(-2\/9)*z)*z*z*z**9*z*(z*z\/(z*z**(-4\/7)\/z*z))\/z)**38 assuming z is positive.\nAnswer: z**(47386\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1745308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 18 = 3*b + 3, -25 = -5*b - 5*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + x - 10. Let d be l(-4). Let a(p) = 2*p**3 - p**2 - p - 2. Let n be a(2). Let v = d - n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.3487 and 30033.92938?\nAnswer: 30031.58068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 137, 145, 167, 209, 277?\n\"Answer: d**3 - 2*d**2 - d + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*m - 83687 - 104393. Sort -3, m, 0.1 in decreasing order.\nAnswer: 0.1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 - 18*d**3 + 26*d**2 + 18*d - 28 = 0 for d.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -3751.\nAnswer: -3751, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(3 + -1 + sqrt(15)\/sqrt(5) - ((sqrt(27)*-2)\/sqrt(9) + (sqrt(3) - -3*sqrt(9)\/sqrt(3)))))**2 + 1.\nAnswer: -144*sqrt(3) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-8) - (-10)\/(-40). Suppose 0 = -3*p - 12, -p + o = 4*k - 6. What is the lowest common multiple of 1 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/(0 - 6). Let n = -5\/11 + 14\/55. Which is the third biggest value? (a) -0.1 (b) n (c) 0 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**2 + 13*t - 3. Let v(w) = w**2 + w - 1. Let b = 27 + -24. Let d(q) = b*v(q) - m(q). What is the second derivative of d(g) wrt g?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**6\/75 - 2*k**5\/25 + k**4\/5 + 4*k**3\/15 - k**2 - 37*k. Let g(a) = 0. Calculate a.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*263\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -113*m**2 - 99*m - 208. Determine b(-3).\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12322.105 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5355\/(-1530))\/((-14)\/40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 16850?\nAnswer: 67400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 2618.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301 - -298) + (-14 - -2 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - -325. What is the third derivative of -117 + v*p**5 + 117 - 24*p**2 wrt p?\nAnswer: 5520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (6 + -22 + -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyu. Give prob of sequence uy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k**2 + 27835*k + 12380 = 0. Calculate k.\nAnswer: -4\/9, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 + 83. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362686.\nAnswer: 2, 41, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260304 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1887 divided by -3?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 105. Let f be n(46). Let y(j) = -j**2 - 10*j - 5. What is y(f)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55686274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * 0.778.\nAnswer: -103.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 402*f + 2. Let w(n) = -1982169*n - n**2 + 1982169*n. Give w(p(x)).\nAnswer: -161604*x**2 - 1608*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smd when three letters picked without replacement from lseesesddgm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fya when three letters picked without replacement from kkyarkymkkrykrykrf.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5773901.\nAnswer: 7, 824843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose a = -2*f + 125, h*f + 611 = 5*a + 5*f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1781 - -1792. Calculate the remainder when 296 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.2? (a) -3 (b) -1\/4 (c) 4064 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 931 = -5*h + 1296, h = 7*i + 37. Solve -42*d = -50*d + h for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 7 = 6*g - z, 3*g - 5*z = -9. Suppose -2*d = 2*i, -2*i - g*d + 6 = -3*d. Solve 2 = i*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211112 (base 3) to base 13\nAnswer: 37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9 + 12 + 3*d - 14*d + d**2 + 10. Let n be t(10). Suppose l - 3 = r + 9, -3*r = n*l - 54. What is the remainder when 28 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 6*h**2 + 2*h - 22. Calculate i(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.1 + 9.9. Which is the second biggest value? (a) -0.5 (b) v (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(288) + -1 - sqrt(288)) + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**7\/1050 - h**6\/150 - h**5\/60 - 16*h**2 + 5. Let n(q) be the second derivative of a(q). What is z in n(z) = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/12 + 7*m**3\/6 + 3*m**2\/2 + 8*m. Let w(v) = 1 + 5*v**2 + 2*v + 0*v - v**3 - 4*v**2 - 3*v. Let k be w(2). Give l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 - t**2 - 10*t - 42. Calculate the least common multiple of z(5) and 4.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9581 and 572?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = 11*w - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 106 = -d + 6*d, d + u = 18. Suppose -3*a + 1 = -d. Is 7 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 14*h = 608. Suppose -8 - h = -5*q. Suppose -5*a + 3 = -q. What is the remainder when 24 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087)*-2)**2*2 + ((sqrt(28) - sqrt(56)\/sqrt(2))*-4)\/(2*sqrt(324) - sqrt(324)).\nAnswer: 24696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -16, -53, -116, -211, -344, -521, -748?\n\"Answer: -y**3 - 4*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 1. Suppose 2*i - 3 = 5*i. Let k be r(i). Suppose -v + 7 = -3*j, 3 = -k*j + j - v. Sort -5, j, 2 in decreasing order.\nAnswer: 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w + 2)*(-3*w - w + 5*w + (-2 - 4 + 3)*(-w + w + w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t - 39 - 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2519*l**2 + 2534*l**2 - 7632*l**2 + 2534*l**2.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/8 - 1413*a\/8 + 705\/4.\nAnswer: 3*(a - 470)*(a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -631158 by 6.\nAnswer: -105193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 7*q**2 - q + 6. Let b(k) = 1 - 5*k**3 + 2*k**3 + k**2 + 2*k**3. Let f(j) = -3*b(j) + w(j). Give f(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*s + 356*s + 380*s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d**2 + 15*d - 9. Let c be z(6). Is (-5)\/(105\/c) - (-2)\/7 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 204 = 18*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -129670 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**2 + 5*z + 3. Let o(j) be the third derivative of -j**4\/24 - 2*j**3\/3 + 2*j**2 - 34*j. Give -3*o(h) - 2*s(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4 = 3*r, -4*r + 7 = 5*z - 11. What are the prime factors of 2 + (r - 2) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 222?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -1 + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 4232.\nAnswer: 67712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 2:25 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -366200 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73277125?\nAnswer: 5, 257, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 - 5*u + 5. Let o be x(5). Let w(g) = -4*g + 26. Let y be w(5). Let n be ((-4)\/y)\/((-16)\/(-72)). Are n and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 270591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in 0.4, 2\/23, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.1 - 17.1. Put 4\/3, 0.3, 3\/5, g in decreasing order.\nAnswer: 4\/3, 3\/5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {i: 2, d: 2, c: 4, w: 3, l: 1, f: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 - z**3 - 3*z**3 + (-3*z**2 + 2*z**2 + 0*z**2)*(0*z - 5*z + 4*z) + 0*z**3 - 5*z**3 + 3*z**3 + 1406*z**3 + 0 - 1121*z**3 + 0.\nAnswer: 286*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 34 + 20 = 0. Suppose 3*g + h - 1190 = 1629, -w*h + 4 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 3, s: 2, p: 1, r: 1, w: 7}. What is prob of picking 1 n, 1 w, and 2 s?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 2*n**2 - 3*n + 1. Let c be b(1). Solve 3*s - c = 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -176*z. Let y(c) = -13*c + 19*c - 11*c + 0*c. What is y(s(l))?\nAnswer: 880*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2 + (-14)\/21*-405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -79*j + 2. Let w(k) = -k**3 + 2*k**2 - 2*k + 2. Suppose 5*d - 25 = -3*z - 2*z, -z - 3*d = -11. Let x be w(z). Is t(x) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/4)*m*m))**(2\/35)*(m\/m**0*m)\/(m\/m**(-2\/7)) assuming m is positive.\nAnswer: m**(47\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*q + 2*q. Suppose q = 5*v, 4*u - 4*v = -u + 5. Let g = -5 + u. Solve 0 = -g*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191122 (base 10) to base 12\nAnswer: 9272a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54585 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88312 divided by 8?\nAnswer: 11039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9*u + 50 = 0, 0 = -29*s + 29*s + 5*u - 20. What is the remainder when s is divided by (-11)\/(1*-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103585 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 2 (c) 1 (d) -4 (e) 0.32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1833*s - 70. Suppose -3*x - 8*x = -187. Suppose -5*o - x = 5*w + 8, 15 = 3*w. Let b be a(o). What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19995863?\nAnswer: 19995863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -60. Suppose 3*s + 2*o = 41, 2*s - 2*o + 3*o - 26 = 0. What is the first derivative of -4*m**3 - 7*m**3 - 5*m**k - s wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400.717 + -0.783. Let o = 402 + x. What is the closest to -1 in o, -4, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 415494456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53885 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -2*sqrt(170)*-2 - (sqrt(170) - (sqrt(170) + sqrt(170)*2))*-5)\/(sqrt(80)\/(sqrt(968)*2)).\nAnswer: -110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-6)\/(-18))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12536 or -12585?\nAnswer: -12536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/30)\/(-2)*(-25)\/55. Let k = r - -56\/165. Which is the third biggest value? (a) 1 (b) k (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 1\/4*s**4 - 3*s + 3\/2*s**2 - 1 - 4\/3*s**3. Let x be 1\/(-2)*(-7 + -1). Determine d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 61?\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16131204*w**2 + 261470*w + 3?\nAnswer: 32262408","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 4, -56, -1.\nAnswer: -141, -56, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2, 2*s = 2*j - 0*j + 4. Let w = -55 - -52. What is the second biggest value in j, w, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (-154 + 0 + -2 + -1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(6\/5)*d*d)\/d)\/d*(d\/(d*d\/d**(2\/11)))\/d)**(-9))**(-3\/5) assuming d is positive.\nAnswer: d**(567\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, x: 5, d: 1, a: 2, z: 8, m: 3}. Give prob of sequence mdaz.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:51 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306906, -306890, -306874, -306858?\nAnswer: -306842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(33\/2034) + (3 - 4). Let d = 992 + h. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by 112.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5975 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 - 25*r**2 - 164*r**3 + 5*r + 1 + 179*r**3 + 0 = 0. What is r?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1115 or 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2670 and 435?\nAnswer: 77430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127817435 to the nearest integer?\nAnswer: 11306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**45\/(m*m*m**(1\/2)*m\/(m**6*m))*m**(1\/6)\/m*m**0*(m*(m*m**0\/m*m)\/m)**40 assuming m is positive.\nAnswer: m**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6*d - a = 2, 0 = 3*d - a + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030*l**2 + 14*l + 12*l - 26*l.\nAnswer: 1030*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c7 + 5c5a?\nAnswer: 5e32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -926.52, -10.2 in decreasing order.\nAnswer: 0.4, -10.2, -926.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10890 and 5445?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = 5*i, -b - 3*i + 6 + 0 = 0. Suppose -10 = h + 4*a, 3*h + 4*a - 2 = -0. Calculate the smallest common multiple of b and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:29 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74217*q**2*r + 214*q**2 - 2*q*r - 441582*q + 13*r wrt q?\nAnswer: 148434*r + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75\/332 - -2\/83. Suppose 4*w = 4*q + q + 447, -5*w + 15 = 0. Let l = 177\/2 + q. Which is the closest to m? (a) l (b) 5\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 12) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -18 (b) 0.71 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*d - 97, -3*k - 3*d + 4*d + 54 = 0. Let s = -12 + k. Suppose -5*i - 10 = 0, -s*a - 2*i + 169 = i. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3\/2 - 3405*x**2 - 3809619*x\/2 + 31354776 = 0 for x.\nAnswer: -1143, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9830, 19639, 29460, 39299, 49162, 59055, 68984?\n\"Answer: w**3 + 9802*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 170. Let k(r) = r**2 - 2*r + 1. What is k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 4*g + 9. Let r be x(3). Suppose -4*q + 28 = 4*k, 4*k + 2*q - r = -0*k. Let v(i) = i**2 - 22. Let h be v(k). Solve c - 8 = h*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 3\/5, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - -3.4. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9177*z - 858 + 858.\nAnswer: -9177*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.508544us?\nAnswer: 0.000003508544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 2a4?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/11))\/n)\/n**(-16))\/(n**(-2\/33)\/n**(2\/17)) assuming n is positive.\nAnswer: n**(9178\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 3375392. Let r(v) = 6*v. Give r(w(q)).\nAnswer: -12*q - 20252352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 5*m**2 + 8*m - 12. Let z be x(6). Suppose -20 = -4*n, t + 4*t + 4*n - 105 = z. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -332424?\nAnswer: -332422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/3 + 8*c**3\/7 - 8*c**2\/7 + c + 192. Factor u(f).\nAnswer: 4*(f + 2)*(7*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72.7141 and 0.4.\nAnswer: 29.08564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-16)\/6)\/(16\/(-6)))\/(2\/150). Calculate the highest common divisor of j and 540.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-448)\/12)\/(-8) + -4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1383734*o**3 - 15*o**2 - 12*o - 2. Let z be a(7). Suppose -36*d + z = -51340059. What is d rounded to the nearest 100000?\nAnswer: 14600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (-7 + -12 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4, -1 = 5*g - 4*v - 3. Suppose 4*c + z + 15 = 0, 2*z - 6*z + 4 = 0. Does 6 divide 2\/c + 37\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 3204 = -3*d. What are the prime factors of d?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 102*f**2 + 17*f - 35. Let y be b(2). What is the greatest common divisor of 333 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:09 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29880 divided by -9960\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 36 = -3*u - u, 0 = 2*u + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*w + 3 = -3*u, -2*u + 2*w - 6 = 0. Calculate the remainder when u + 0 + 1 + 44 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.153 - -3.733. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*b*t**3*v**2 + 8*b*t**3*v - 161*b*v**2 + 2*b - t**3*v - 5*t**2 - 23*t*v wrt v?\nAnswer: 126*b*t**3 - 322*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13010 + 13010 = 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/15 + 11\/5. Let m = 0.3 + -1.3. Let a = 1.2 + m. What is the closest to q in -0.5, 0, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-4)*3460\/(-2595))\/((42\/234)\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.5052 millilitres to litres.\nAnswer: 0.6505052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 306*v**2 - 473702*v + 21672 = 0.\nAnswer: 7\/153, 1548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 1\/3*m**3 + 1\/20*m**5 + m**2 + 1\/6*m**4 + m + 0. Let y = -5 + 3. What is a(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2. Let g(x) = 9*x. Let n(z) = 217*z. Suppose -3*h = 3*r + 18, -3*h + 2 - 6 = -4*r. Let d(b) = r*n(b) + 49*g(b). What is k(d(l))?\nAnswer: -245*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 + 285*u**2\/4 + 72*u.\nAnswer: -3*u*(u - 96)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 - 782*x**2 - 1905134*x\/5 + 5750646\/5.\nAnswer: -2*(x - 3)*(x + 979)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-13))\/x*x**5)**(-1\/22) assuming x is positive.\nAnswer: x**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-72 - -45) - (1 - 2 - 37).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bue when three letters picked without replacement from {u: 3, e: 2, d: 1, b: 1, x: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d + 7. Suppose 0 - 4 = 2*z - 4*x, x + 14 = -2*z. Let l(q) = q**2 - 6*q + 6. Let j(b) = z*n(b) + 7*l(b). Let p(c) = 8*c**2. What is p(j(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 1)*(1113 + 134*g - 1113) in the form w*g + c and give w.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -4*l**6\/3 + 3*l**2\/2 + 4. Find the second derivative of a(y) wrt y.\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-40))\/(-1))\/(4\/25)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttytyyttt. Give prob of picking 1 t and 1 y.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 7 + 7*d - 2*d - d**2. Calculate j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59000 = 77*c - 1712. Let w(l) = 2*l**2 - l + 1. Let d be w(1). Let p be d\/7 - c\/(-3192). Do 0.1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11247*x + 39502 wrt x?\nAnswer: 11247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 - 193*z - 36. Let k be g(-48). Solve -6*m + 2*m - k = -4*t, 5*m + 2*t + 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/13, 3\/17, -1\/2, 3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*k = -0*k + 24, 5*k = -u - 6. Let d be ((-2)\/u)\/(440\/72 + -6). Solve 0*l + 2*l = -4*x + 18, l = d*x - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 9*v + 8. Calculate the lowest common multiple of m(10) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408*r**6 - 682903*r**5 + 226317*r**2 - 871*r.\nAnswer: -48960*r**3 - 40974180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 0) + (-110 - -103) + 1 + 8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2 - 2757956*l - 2757952 = 0.\nAnswer: -689488, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21489558 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0440344005 rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/3 + 9*z. Let j(s) be the second derivative of s**3\/2 - 4*s. Calculate q(j(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 507639243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48706 and 294?\nAnswer: 146118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/12548529 and -25\/11154248.\nAnswer: 100388232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jttttttttjtt. What is prob of sequence ttjj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1276 or 1278?\nAnswer: 1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -166656 (base 7) in base 8?\nAnswer: -101506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22485703 is divided by 686?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(1\/(-12)). Let y(q) = -r + q + 1 + 2*q. Suppose 3*k - 20 = -2*k. Give y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 2. Let j = u + 2. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(1\/33))*q)**32*(q\/q**(2\/27))\/q*q**27 assuming q is positive.\nAnswer: q**(8285\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let s(l) = 2231930*l + 1. Give s(b(d)).\nAnswer: 4463860*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3878321 and 1639?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*w**3 - 313*w**3 + 258*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/13)\/x)\/(x\/x**(-14)*x)*(x**(1\/8))**38)**40 assuming x is positive.\nAnswer: x**(-6450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1638947 or 1638953?\nAnswer: 1638953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4040 (base 9) to base 2.\nAnswer: -101110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28982 + 29099 = -13*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10219 - 10219 - 127*f**2 + (5 - 3 - 1)*(-24*f**2 - 21 + 21))*(f**3 + 0*f**3 + 0*f**3).\nAnswer: -151*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/30 - k**4\/6 - k**3\/3 + k**2. Let p(z) = -z. Let d(a) = 3*p(a) - r(a). Determine d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 18 = -5*c, -d + 18 - 22 = -c. What is the third smallest value in 0, c, 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -143, -266, -389, -512, -635, -758?\n\"Answer: -123*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 + 7\/2*m**2 - 1\/12*m**4 + m - m**3. Let q be j(-7). Put -3, -5, q in decreasing order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 10*y**2 - 10*y - 1. Let j be s(-9). Let h = j + -13. Let k(g) be the third derivative of -g**5\/60 - 5*g**4\/24 + g**3\/6 + g**2. Give k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l = -30*l - 20. Let y be l\/4 - (-5 - -3). Solve y*m + z - 13 = 8*m, 4*m + 11 = z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103733 is divided by 332.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) - (1 - 2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-2\/25)*(u*u*u**(-2)\/u)**(-12\/7) assuming u is positive.\nAnswer: u**(593\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h + 5*h)*(3 - 3 + 2)*(-482 - 468 + 937)*(3*h - 2*h - 3*h).\nAnswer: 364*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o*o\/(o*o**9)*o)\/o)\/o**4*o\/o**(-4\/7)*o\/(o*o*o\/(o*(o\/o**(-10))\/o*o)) assuming o is positive.\nAnswer: o**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 2. Let q(k) = -17*k - 12. Let c(d) = -6*p(d) - q(d). Let y(l) = -3*l - 30. Let w(s) = -6*s - 58. Let j(i) = 4*w(i) - 7*y(i). What is c(j(t))?\nAnswer: 3*t + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjjmqm. What is prob of sequence mq?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 120 = x. Let i(o) = 2*o**2 - o - 3. Let g be i(3). Calculate the highest common factor of x and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0728174 years in months?\nAnswer: 0.8738088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1944 - 2198.9. Let k = u + 253.139. What is k rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 7*g + 3 = 15*p - 12*p, 6*p = 10*p - 0*p - 4*g + 28 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3386, 6769, 10150, 13529, 16906?\n\"Answer: -i**2 + 3386*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0204 in -18, -29, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -728 - -730. Let s be 86\/24 - (-9 - -11)\/8. Solve -4\/3*q**3 - 3*q**a + s*q + 1 = 0 for q.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*4 + 5 + -5. Let q(x) = 3*x**3 - 2*x**2 + 4*x + 5. Let g = -34 - -40. Let b(c) = 10*c + g - 2*c**2 - 7*c + 2*c**3 - 2. Determine r*q(m) - 5*b(m).\nAnswer: 2*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01784 times 13765?\nAnswer: -245.5676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 46, 79, 120, 169, 226, 291?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 1. Let q be (6\/4)\/((-9)\/(-6)). Let y be u(q). Let s(c) = 2*c - 1. What is the units digit of s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 8.7. Let k = -31930 + 31929.6. What is the biggest value in k, -4, u, -2.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*c**2 - 140*c**2 - 2*c**4 - c + 3*c**4 - 59*c**2 to i*c**4 + v*c**3 + g*c + s*c**2 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/2652)\/((-1)\/493)*1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxxcxxcxsxaun. What is prob of picking 2 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {e: 1, s: 1, t: 3, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001001110 - 101110110?\nAnswer: 11001011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 9. Suppose p = 4*q + 2*x, 4*x = 5*q - 29 - 3. Suppose -q*w + 38 = -66. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h**3)*(7*h**2 + 10*h**2 - 9*h**2) + 0*h**5 + h**5 + h**5.\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2108)\/(-28) + 20\/(-70). What is the highest common divisor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104675.9 decades in years?\nAnswer: 1046759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859542 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79240374?\nAnswer: 2, 3, 19, 223, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114932 + 182595. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*k = 4924 - 55762 for k.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 471 + -322?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*l + x + 335 - 283, x = 5*l - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24709246?\nAnswer: 2, 101, 122323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 574971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 756*f + 70*f**4 - 756*f + (f**3 + 0*f**3 + f**3)*(1 - 1 + f) - 5*f**4 + 4*f**4 + 3*f**4 to the form d + p*f**2 + i*f + k*f**3 + s*f**4 and give s.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36833\/3876 + 26\/323. Let y = 1575\/2 + -769. What is the common denominator of y and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145 + 1004?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5*o - 15, -5 - 10 = j - 5*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11491174 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.703 + 38.427. Let l = s + 2.97. Let f = l - 42. What is the second biggest value in f, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 56*p + 8. Let y(c) = -2*c**2 - 57*c - 9. Let a(m) = 4*k(m) + 3*y(m). Let z be a(9). Let o = 0 - 1. Sort 5, 3, o, z.\nAnswer: z, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -14*d**3 + 10*d. Let m(n) = n**3 - n. Suppose 9*g + 3 = 6*g. Determine g*y(f) - 10*m(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -527 - -528. Which is smaller: 5\/74 or u?\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -142564019.\nAnswer: -142564018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 - 3*x + 5. Let g be n(3). Let p be (-3)\/((-9)\/15) - (14 - g). Which is the fourth smallest value? (a) -2\/7 (b) 3 (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 23. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0 + -6) - 1. Suppose z = -t*z + 745. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 35*c + 47, 0 = 72751*d - 72750*d - 5*c - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 21 = -5*n, -5*n - 8 = -n - 2*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 12*l - 6. Let y be i(-13). Put 0, -2, 2, y in decreasing order.\nAnswer: y, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18447 is divided by 506.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4206262?\nAnswer: 2, 863, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + -4 + -2 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -21429*r - 192880. Give l(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 968 and 430?\nAnswer: 208120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 1, 0.11 in descending order.\nAnswer: 5, 2, 1, 0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (-12 + -3 + 19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + -1*sqrt(130)))*2)\/sqrt(10).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4\/7 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -219 - -135. Let h = -90 - b. Is (-4044 - h)*(-2)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - -296*629\/(-4736))*2?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/222*((-18)\/(-36))\/(5\/20)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s = 69*s + 2*b - 125, -2*s + 6 = -0*s + 2*b for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 10*g**2 - 18*g + 13. Let x be y(8). Which is the nearest to 23? (a) 0 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 0, 678 = 3*g + 3*q - 42. List the prime factors of g.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.68 - 24. Let n = 6 - w. Round n to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 7249.\nAnswer: -7249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 412*h**2 - 11527*h - 257. What is t(28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 68. Let i = 9 + -4. Let b(h) = -6*h**3 - 4*h**2. Let l(s) = 7*s**3 + 5*s**2. Give i*b(k) + j*l(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.62971 litres to millilitres.\nAnswer: 95629.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 71 = -k, -5*w + 191 = -k + 17. Suppose 1470 = -23*v + 121*v. Let n = w - v. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/845 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6*n + 300. Suppose p - n = -4*p. What is the remainder when 118 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, 9.3, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttq. What is prob of sequence tq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94737613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 9, o: 4}. Give prob of picking 2 c, 1 l, and 1 o.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n - 2. Suppose 4*k - 18 = 4*o + 6*k, 7 = -o - k. Let x be r(o). Let m = x - -22. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.1*-0.2.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41015477 is divided by 13671822?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601583175 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 108*m**2 - 672*m + 784.\nAnswer: -4*(m - 1)*(m + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 2*f + 108. Is 9 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.2 + -63. Let u = -12 - q. Let z = -2.61 + -7.39. Which is the closest to 0? (a) z (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)**(4\/25)*q*q\/(q\/(q\/q**(-5\/4)))*q\/q**(-1\/5)*q**(-4)*q*(q*q\/((q\/(q*q*q**(-2\/13)))\/q))\/q*(q*q\/q**(-2\/5))\/(q*q**(1\/4)*q) assuming q is positive.\nAnswer: q**(289\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.93 - -0.45. Let x = 1.1 - o. Let c = x - -0.279981. Round c to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 336289, 336276, 336255, 336226, 336189, 336144?\n\"Answer: -4*g**2 - g + 336294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 757818363 and -12.\nAnswer: 757818351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 130. Let p = 66.976 - s. What is p rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514.0836 years to decades.\nAnswer: 51.40836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*2\/(-2) + 0. Solve 3*o = 5*y - 2 - 13, 5*y = -5*o + q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*r + 2. Let f(u) = 3*u + 10. Give f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36555625?\nAnswer: 5, 23, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215951000?\nAnswer: 2, 3, 5, 11, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*d - 1173*d - 3605 = 1411 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -4499*i**4\/24 - 3884*i**3\/3 + 5383*i**2. Find the first derivative of t(s) wrt s.\nAnswer: -4499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148161.\nAnswer: 3, 13, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -1805*c**5\/4 - 83695*c**4\/4 - 316965*c**3 - 1499220*c**2 + 1044360*c - 170100 = 0. What is c?\nAnswer: -18, -15, -14, 6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 5*s**3\/3 + 294*s - 1. Let v(x) = -79*x. What is k(v(r))?\nAnswer: -790*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s**(-7\/5)))\/(s*s*s*s*s**(6\/7)\/s*s)*s**(-11)\/s**(-12\/7) assuming s is positive.\nAnswer: s**(-376\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j + 10 - 4 - 6*j. Give a(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + 0.01. Let g = 1.3 + -0.3. Which is the second biggest value? (a) d (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m - 79. Let q be t(9). Is 53 a factor of 212*(5 + q + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*p**3 - 3*p**2*r**2 + p*r + 126*r**2 + 9 wrt p?\nAnswer: -690*p - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsiusigggisigrgu. What is prob of sequence uui?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**5 - 7*s**4 - 9*s**3 + 8*s - 7. Let c(n) = -7*n + 8*n**3 - 2*n**4 + 4*n**4 + 6 + 5*n**5 + 4*n**4. Let x(z) = -7*c(z) - 6*i(z). Factor x(g).\nAnswer: g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.215438 to 3 decimal places.\nAnswer: -26.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55143 - 32510. What are the prime factors of v?\nAnswer: 13, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -15.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-106)\/10 - -1)\/((-21)\/140). Sort 2, -3, b in descending order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16907 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2132 + 27?\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 29 + 7 = 5*h, -4*p - 20 = -h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oogfmbooggbzoomggobo. What is prob of sequence mz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-8) - (-88)\/32. Suppose -5*i = k*h - 20, 0 = i + 2*h - 0 - 4. What are the prime factors of 6\/i*(-10)\/15*-37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40309708, -40309709, -40309710, -40309711, -40309712?\nAnswer: -40309713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199587206.\nAnswer: 2, 7, 13, 59, 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let c(z) = -3*z - z - 2*z - 1 + 7*z. Let l be (-1 + 5)*(-2)\/(-8). Let q(k) = -4*k + 6. Let f(x) = l*q(x) + 6*c(x). Give f(s(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9030 and 19707975?\nAnswer: 39415950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -77. Let b = m - 4. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 5*t**2 + 16*t**2 + 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**7\/42 - s**4\/3 - 10*s**2. What is the second derivative of r(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 110. Let v = 425\/9 - t. Let g be (-3 - -6) + 65\/(-25). What is the closest to -2\/3 in g, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -6. Solve 4*a = 5*z - 14, -4*z = 3*a - h*a - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1613 - -2765. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -14) + (-2 - (-28)\/(-1358)).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j = 58 + 97 + 1 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 438 + 432 - 1338 + j**2 + 468. Let l(w) = 5*w**2 - w - 1. Let u = -10 + 4. Determine u*z(o) + l(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 10:15 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let n(m) = -16*m + 34*m + 31*m + 14. Let k(b) = -10*b - 3. Let d(c) = -14*k(c) - 3*n(c). Calculate d(j(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 134*x. Let r(d) = -4*d + 793. What is q(r(w))?\nAnswer: -536*w + 106262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 674554 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r = 60. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/4 + (-3)\/(-6). Let g be 19\/5 - t\/15. Let h(f) = f**2 + 2*f - 4. Let z be h(g). Solve z = -5*c - 0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -l. Let m = -6 - -9. Solve m*n + 11*w = 6*w + 15, -w + l = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 1\/3 (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36521.1 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, -138, -734, -1958, -4020?\n\"Answer: -35*l**3 + l**2 + 64*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -50. Let y = 9 + a. Solve 0 = -6*n + 7*n + y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 522?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 203112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 31143610*c\/7 + 62287228\/7.\nAnswer: -2*(c - 15571807)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0 + 4*m + 1\/2*m**2. Let w(n) = -2*n - 4. Let h(f) = -3*g(f) - w(f). Find the first derivative of h(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 + f**2 - 1. Let k be b(1). Let l(z) = -z**2 - 5*z + 6. Let y be l(-6). Sort y, 1, k in decreasing order.\nAnswer: 1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from ooxxxvd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 6:50 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11864, 13148, 14458, 15806, 17204?\n\"Answer: 2*n**3 + n**2 + 1267*n + 10594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2572.00011732 - -2572. What is u rounded to six decimal places?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -110, -2\/3, 3\/5, -5, 285, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**2 + 7*f - 620 wrt f.\nAnswer: -8*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 1744*j**2 + 186560*j - 774400.\nAnswer: 4*(j - 4)*(j + 220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(sqrt(1872) + 3) + (sqrt(1872) - 6*(sqrt(1872) + sqrt(1872) + -3)) + 5 + 0)**2.\nAnswer: -5952*sqrt(13) + 120769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 17*a**2 + 7. Let z be c(-17). Solve -8 = 5*r + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21601.145 or 0.03?\nAnswer: -21601.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -30, -53, -110, -213?\n\"Answer: -2*l**3 + l**2 + 10*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369817184 to the power of 1\/3, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 101745.8km?\nAnswer: 101745800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/24 - ((-602)\/(-4) - -2). Let j = 155 + v. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143761 is divided by 2178?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -55, -96, -171, -292, -471, -720, -1051?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8408, -8211, -7882, -7421, -6828?\n\"Answer: 66*z**2 - z - 8473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (3 + 0 + -3). Suppose -12 = 4*c - 3*c + r, -5*c + 2*r - 46 = 0. Let p = g - c. What is the least common multiple of 2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 62, 113, 180, 263?\n\"Answer: 8*s**2 + 11*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0489, -13, -2\/13, 4.1?\nAnswer: 0.0489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = 19*h - 737. Factor -1\/2*q**h - 1\/2*q + 0.\nAnswer: -q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1092 and 55\/91.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2770 - -2759. Do 3\/34 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674099869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 5781323?\nAnswer: 5781323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/(-4) - (328\/4756 + (-66)\/116).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 45. Suppose -l*s + 2*s - 5*f = 0, -4*s = f - 19. Suppose s*v + 40 = 2*h + 2*v, -3*h + 41 = 5*v. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let s(o) = 3*o**2. Let c(p) = -2*s(p) + 2*z(p). Let r(g) = -12*g. Calculate r(c(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 1.2, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 2*f + 2*s - 87, 4*f = 2*s + 88. Suppose -4*a = -6 - 2. Solve -5*z - a = -5*h - f, 0 = h - 4*z + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51504?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -29. Suppose 2*o - 3 - 9 = k. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26212664*s**3*w**3 + 16*s**3 + 5305*w**3 + 3*w**2 + 487*w wrt s?\nAnswer: -78637992*s**2*w**3 + 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 30010 (b) -8 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-16) - 167\/(-2). Let q = 87 - k. Calculate the lowest common multiple of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5136838808 to three decimal places.\nAnswer: -1.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-189))\/(3\/14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - 1 - -2) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -8990\nAnswer: 111\/8990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 801.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3044193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269067 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:36 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + b**2 + b + 14. Let y be (-1 - -1)\/(-2 + 5). Let q be w(y). Solve m + q = 5*r + 5, -2*r + 18 = -4*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*c = -16, 0 = -3*m - c - c + 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 17. Suppose -5*s + p = -4*o, 4*s + 0*o + 2*o - 20 = 0. Let k(z) = -z + 5. Let i be k(0). Put i, s, 2 in decreasing order.\nAnswer: i, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.465 - -2.535. What is the closest to 0.9 in -20, w, 5, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522285.\nAnswer: 5, 504457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7806.1806 minutes in days?\nAnswer: 5.42095875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6465 * -0.059239\nAnswer: 382.980135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 107125 * 0.4\nAnswer: 42850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 17734060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30 and 87\/130132?\nAnswer: 1951980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16 and 101\/5074.\nAnswer: 40592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let b = q - -5. Suppose 2*a + a + 5*v = 16, v = 2*a - 15. What is the least common multiple of b and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3868299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-234)\/(-15) - (-2)\/5. Suppose k*m = 13*m + 48. Calculate the lowest common multiple of 40*3*2\/12 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5933 is divided by 1884?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2754) - sqrt(34))\/(2*sqrt(72)).\nAnswer: 17*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/60)\/(5\/(25\/4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-32) - (-35)\/(-3024).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46223388?\nAnswer: 2, 3, 1283983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.486751491 plus 67064?\nAnswer: 67062.513248509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - g**2 - 3*g**2 + 2*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.33 (b) -9\/53 (c) -2\/3 (d) 1\/10 (e) -2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124110 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + 42*d - 232 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -28 (b) -5 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:02 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -2 + 1 + 3*(sqrt(1700) + 0 + -3 + sqrt(1700)) + 1))**2.\nAnswer: -30240*sqrt(17) + 2204964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0 - 9\/40*j**6 - 5\/112*j**8 + 0*j**4 - j**2 + 6\/35*j**7 + 1\/10*j**5 + 0*j + 0*j**3. Suppose o(l) = 0. What is l?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6612 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 2. What is the units digit of r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 9*w + 174. What is the common denominator of -127\/12 and (-7*(-3)\/84)\/((-5)\/w)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*y**3 - 47*y**3 - 49*y**3 - 45*y**3 + y**2 + 13*y + 190*y**3 + 70 to the form b*y + j*y**2 + k*y**3 + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 40*a**2 - 400*a + 32. Let j be h(-8). Calculate the greatest common factor of j and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1093*b**2*o**2 + 2211005*b**2 - 864*b*o**3 wrt o?\nAnswer: 2186*b**2*o - 2592*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3661 times -0.1?\nAnswer: 366.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/9 - 1752\/(-18)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + s + 189 - 183, -5*s = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Suppose w = 3*c - c. Suppose 0 = 4*u - c*u - 388. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 4.868.\nAnswer: -43.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 18*m + 2. Let j be s(6). Let i(n) = 2*n**3 - 2*n**2 + 4*n - 3. Calculate the remainder when 35 is divided by i(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2306 = g + 2*s, 5761 = 5*g - 3*s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 645 and 92745840?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002018 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 600 = -o. Let n = o - -111. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, o: 4, x: 2}. What is prob of sequence xo?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.356 + -0.3. Let w = 0.05492 - p. Round w to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immiiimiissismimhmi. Give prob of picking 1 h and 1 m.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxnxxnxnx. What is prob of sequence nn?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.438756 rounded to two dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*v**6 + 70*v**4 + 2871*v**2.\nAnswer: 1920*v**3 + 1680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119938*w**2 + 3034*w**2 - 263*w + 263*w.\nAnswer: -116904*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Factor -4*c**3 - 4*c**2 + 8*c.\nAnswer: -4*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2091598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose p + 0 = -t + o, p - 6 = -3*t. Calculate the smallest common multiple of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**2 - 53*s - 9. Let l(i) = 40*i**2 - 291*i - 46. Let j(a) = -2*l(a) + 11*v(a). Give j(-4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/24 - 248*s**3\/3 + s**2 + 5970. Let h(l) = -9*l**2. What is h(q(w))?\nAnswer: -9*w**2 - 8928*w - 2214144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/64*(-32)\/(-12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2931 = v - 2921. Let n(s) be the second derivative of 5*s + 3\/8*s**3 - 3\/2*s**v + 0 + 1\/16*s**4. Suppose n(k) = 0. Calculate k.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-72))\/(31535\/7420).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90407 - 84219.1. Round u to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.016\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 110445*f + 25025508.\nAnswer: 3*(f + 228)*(f + 36587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8))\/(2\/4). Let d = -1 + 2. Let m be -2*1\/2*d. Is m smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 8. Suppose c + v*c = 85. Let w = c - 12. Let h(z) = z - 10. Give h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4) + (-8)\/(-2). Suppose -x - w*m + 6 = m, -4*x + 45 = -5*m. Sort 2, x, -4.\nAnswer: -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 64.00188. What is l rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 11*p**2 - 19*p**2 - 24*p.\nAnswer: -5*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 29*t**2 - 55*t - 18. Let f be c(-27). Solve -f = -3*x - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 + 2*x - 6. Let d be a(4). Let z(u) = 2*u**2 + 4*u + 2*u**2 - 2*u**d + 3. Suppose t - 4*t = 9. Calculate z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65 take away -73.47823266?\nAnswer: 74.12823266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -3)*22\/(-6). Let v = y + -235\/12. Let s = 2048 + -16363\/8. Find the common denominator of v and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 times -0.012\nAnswer: -2.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 898. Let k = w - -448. Let z be 1\/(-2) - k\/14. Solve -4*l = z - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1858, 29, -11039 in ascending order.\nAnswer: -11039, -1858, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, c: 2, s: 1, m: 12}. What is prob of picking 2 m?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13217 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.27+16948.648\nAnswer: 16948.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 9*k**2 + 2*k - 3. Let d be p(3). Let f = d - 6. Calculate the greatest common divisor of 70 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/7*61\/(-45). Let a = -14\/9 - v. Let m = 83 - 83. What is the nearest to m in 0.1, a, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -60*q + 831. Let l be j(14). Let o(r) = -r**3 - 4*r**2 - 7. Let w(k) = 5 - 4*k - 20 - 2*k**3 + 4*k - 9*k**2. Calculate l*o(s) + 4*w(s).\nAnswer: s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3124 and 2?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uww when three letters picked without replacement from wwwwwuwuwwwuwwuwwuw?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/12)\/(2\/27). Suppose -5*c - t = -29. Solve -c*n = 3 + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/2 (b) 157 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0179 and 5?\nAnswer: 0.0895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opoxmijjmxjp. Give prob of picking 1 x, 1 j, and 1 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168209?\nAnswer: 59, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 512406 and 2034.\nAnswer: 57901878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 197, 295, 393, 491, 589?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/23)\/(x\/(x\/(x*x**6)*x))*(x*x**(-3\/11))\/(x\/(x*x**(2\/11))) assuming x is positive.\nAnswer: x**(-1310\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqyq when four letters picked without replacement from {q: 3, l: 2, y: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9 - (-48)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-3)\/(-60)*4). Let w = -16 + k. What is the second smallest value in w, -0.8, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.33299 - -52.66991. Let c = l - 54. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 16*w = 40. What is the biggest value in 0.4, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000781554663 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(22)\/sqrt(2)) + sqrt(7) + sqrt(7) + -4 + (sqrt(175)*2 + -4)**2.\nAnswer: -77*sqrt(7) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3*3*-5. Let o = 4 + -1. Let g = 105 + -1577\/15. What is the closest to -1\/3 in o, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaeaaeemirreaiirr. Give prob of sequence mii.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7531 (b) -1\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (31 - 47) + -4 + (0 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 14 = 875. Suppose -4*p + u = 3*n - 81, 2*n + 4 = 0. Suppose 4*z = z + p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21090 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -7, -60 in decreasing order.\nAnswer: 0, -7, -12, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 21 + n**2 + 8*n - 19 - n to p*n**2 + x*n + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 314 + 223. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 - ((-4 - -27) + -56). Solve -4*s = 84 - d for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -118 + -73567?\nAnswer: -73684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(8\/5)*t\/((t*((t**0*t)\/t)\/t)\/t)*t*(t**(-1\/7))**38 assuming t is positive.\nAnswer: t**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17109, -17081, -17053, -17025?\nAnswer: -16997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -37880.\nAnswer: -79548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 104*p**3 - 11*p**2 + 63*p - 228. What is the units digit of g(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651097307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -35, -8, 73, 226?\n\"Answer: 3*p**3 - 30*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**2 + 2*x + 3. Let n(c) = 21*c**2 + 5*c + 7. Calculate -5*l(g) + 2*n(g).\nAnswer: -13*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-7) - (-4)\/(-14). Let y(j) = j**2 + 4*j + 4. What is the units digit of y(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 309, 0.3, -0.06, 3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 + u**5\/60 - u**4\/8 - u**3\/3 + 4*u**2. Let a be y(-2). Suppose -4*m + a*m = -80. Solve m = 3*i + 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(5*sqrt(1008))**2*2 + -4.\nAnswer: -151200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(34\/9)*y*y*y**12\/y)**(-17) assuming y is positive.\nAnswer: y**(-2567\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 2, e: 2, m: 5, v: 3, t: 2, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 6. Let q(d) = d**3 + 4*d**2 - d - 2. Let o be q(-2). Let c = o + t. Solve 6*a - 25 = a + 5*s, 20 = -c*a - 4*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5820, 23517, 53030, 94359, 147504, 212465?\n\"Answer: 5908*z**2 - 27*z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3 - 12. Solve -5*t - 5 = 4*j - j, -a*j + 11 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31558157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*1 - -6)*3. Suppose -181*h + 179*h + 41 = -5*t, -25 = h + 4*t. Factor -21\/5*b**h + 54\/5*b**2 + 24\/5 + 3\/5*b**4 - r*b.\nAnswer: 3*(b - 2)**3*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72*(-20)\/(-840)*(-14)\/(-18)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 3*i**2 + 3. Let b(o) = -o**2 + 26*o - 51. Let d be b(24). Let f(k) = k**3 + k**2 + k + 1. What is d*f(t) + g(t)?\nAnswer: t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from oohbooohooooooooh.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -81312.\nAnswer: -81308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 336*n + 5762 + 106 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from {l: 3, o: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:14 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*k**3 + 381*k**3 + 243*k**3 - 8*k**3 + 589 wrt k.\nAnswer: 1545*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 101022112?\nAnswer: 101022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let h(z) = -87*z + 56. Let w(a) = h(a) - 6*u(a). Differentiate w(b) wrt b.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 222*u**5 - 580184*u**4 + 2507690*u**3\/3 - 443900*u**2\/3 - 365696*u\/3 + 41792\/3 = 0. Calculate u.\nAnswer: -1\/3, 4\/37, 2\/3, 1, 2612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l. Let j(p) = 3. Let b(a) = -2*a + 22. Suppose -26 + 19 = -7*o. Let c(i) = o*j(i) - b(i). Give y(c(t)).\nAnswer: -14*t + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + p + 133, -5*p + 39 = t - 0*p. Let w be (-8)\/(-44) + -2 + 212\/t. Sort w, -3, 18, 1\/3.\nAnswer: -3, 1\/3, w, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1561*c**2. Let s(b) = 184*b. Give q(s(w)).\nAnswer: 52849216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 20 + 13)*(2100*c**3 - 1757*c**3 + 5 - 2 - 3).\nAnswer: 10976*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 31. Let s be f(15). Let o(h) = -5*h - 2. Let c be o(-4). Let z = c - s. Solve -2*k + 0 = z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 31\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 648*c + 4627. Let a be j(-7). Solve 0 = -888*o + 901*o - a for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2743\/7272 + -2\/909. Let o(v) = -3*v - 13 + 20 - 14. Let l be o(-3). Sort d, 1, l.\nAnswer: d, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-952)\/(-60))\/1 + (-4)\/(-30). Let m be (-1)\/8 + -1 + 5522\/y. Suppose 2*p + 446 = 5*z + 1, -4*z = -4*p - m. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 787, 3083, 6905, 12247, 19103, 27467?\n\"Answer: -p**3 + 769*p**2 - 4*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 - -255. Is s\/9 + (-60040)\/(-180) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24558 is divided by 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -99. What are the prime factors of 5*w\/(-70) + 2850\/21?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iixx when four letters picked without replacement from {i: 2, x: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(5\/3)*b)*b*b)\/(b**8\/b))**(-6\/7))**(1\/6) assuming b is positive.\nAnswer: b**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1839370 * 3.\nAnswer: -5518110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 1, j: 3}. What is prob of picking 1 e and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3104 + 1282 = 2*x, 5*x - p = 10956. Suppose -6*u + x = -3791. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*v + 92 = 5*f, 3*f - 4*v - 32 = 0. What is the remainder when f is divided by (13\/4 - 1)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 3*j - 484. Let u = -46 + 98. Let f = u + j. Solve 5*z - f = 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i - w = 74, -2*i - 4*w + 34 = 0. Let m be 1\/2*(-10)\/i. What is the nearest to m in -6\/7, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*v**2 - 74*v**2 - 5*v + 31*v**2)*(2 - 2 + 1)*(-1 + 3 + 0) to the form h*v + o*v**2 + i and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 4*j**2 + 8*j - 13. Calculate b(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:34 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a factor of 152905940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 + 6*x + 1. Let j(k) = -13*k**3 - 11*k - 3. Let m(g) = -11*b(g) - 6*j(g). Let w(d) = d**3 + 6. Calculate 5*m(q) - 6*w(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 + 404*j - 13580. Give z(70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h**3)*(h - h - 5*h)*(2*h - 4*h + h).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b + 7. Let v be k(7). Suppose -5*m - 2*i + v = 0, 5*m - 6*i + 3*i = 95. Calculate the common denominator of ((-68)\/6)\/(30\/(-5)) and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-25)*8*(-110)\/(-44)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 5, 4 in descending order.\nAnswer: 5, 4, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 7. Suppose r = 4*k - 3 + h, -10 = -2*r - 2*k. Suppose 31 = -r*t + 6, 3*t + 12 = -y. Which is the nearest to -1.6? (a) -0.4 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3853252 and -2.6.\nAnswer: -10018455.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 758700837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1890)\/945)\/((-4)\/38).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588416373 to the power of 1\/2, to the nearest integer?\nAnswer: 24257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/3))**(-1)*(p*p\/(p\/(p\/(p\/(p*p\/(p\/(p\/p**6))))))*p)**(5\/6) assuming p is positive.\nAnswer: p**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**5\/5 - d**4\/2 + 2*d**3\/3 + 3*d**2 - 11. What is the second derivative of a(g) wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789 = 4*t + 109. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p - 2, 0 = -3*f - 2*p + 14. Suppose f*i - i = 20. Suppose y = i + 9. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.5976181988572+-3\nAnswer: 1.5976181988572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698 is divided by 80?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-5) - (-12)\/(-20). Suppose 2*k - v = -3. Solve 3 = -b + i, -4*b + k*i - 10 + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1384\/10 + (-4)\/10. Let z be (1\/102)\/((-4)\/j). Let q = 10\/17 + z. Which is greater: q or -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 80. Is 81 - (k - 0)*9\/18 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 - 8*f - 15. Let o be x(-7). Suppose -2 = c - 4*d + 5, -c - 4*d = -17. Let z(h) = -1 + 0 + h**3 + 9*h**2 - c + 8*h. Determine z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36137*w + 459 = -36154*w. Let j(v) = -v - v + 11 + 3*v. Let k be j(-8). Do k and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 91*m**2 + 306*m + 278. What is d(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.4, 2, -70, -4, 0.06 in increasing order.\nAnswer: -70, -13, -4, -0.4, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -4 in increasing order.\nAnswer: -4, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2 - (0 + sqrt(363)))*2)**2 - (sqrt(15)\/sqrt(5) + -1 - sqrt(33)\/(sqrt(33)\/sqrt(3))).\nAnswer: 8749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23 and 36\/9403.\nAnswer: 9403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000224315 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/19705556 and -35\/16.\nAnswer: 78822224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9290*c - 83437. Give w(9).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1893*c = -1892*c - 9660. What are the prime factors of c?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*j - 4*j. Suppose 0 = 5*v - 10, -j = -q - 2*v - 0. Find the common denominator of -7\/2 and ((-285)\/(-75))\/(q\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 - 5*w + 6. Suppose -3*p = 10*p + 104. Does 11 divide r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -13. Let p be 5 + 1 + 2 + -3. Which is the nearest to y? (a) 2\/7 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 + 1 = 0, -2*r - o = 0. Let z(v) = 2*v + 15. Let y be z(-10). Let j(b) = b**3 + 6*b**2 + 6*b + 5. Let i be j(y). Solve r = f - i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 153542.7 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + i + 25 = 0, -6*y - i - 10 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169370930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8*v**(-4\/5)\/v*v)**(-40))**26 assuming v is positive.\nAnswer: v**(-7488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3728\/11 - 340. Suppose 819*d - 8 = 827*d. Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 8.93. Let f = z - -7. Let q be (1\/(-6))\/(42\/(-24) + 2). Put q, f, -4 in decreasing order.\nAnswer: q, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 3*t - 3*t + 2*t**3)*((-3 + 2 + 2)*(-4 - 11 + 4) + 16 - 44 + 19) as x*t**3 + l*t + q*t**2 + f and give l.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - q + 9. Suppose q*g = 4*l + 73, -2*l = -5*g + 166 - 49. Calculate the highest common divisor of g and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(52) + -3.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and (0 - -1)*47 - 14\/7?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 96. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d - 423*d - 5205 = 8011 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(5) + 0 + sqrt(5)) + -1 + 4*(sqrt(605) + -1 - sqrt(605)))**2*-4.\nAnswer: 1440*sqrt(5) + 8940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28982, -57799, -86478, -115019, -143422?\nAnswer: -171687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*c + 13. What is the lowest common multiple of 20 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -3*((5*sqrt(1331))**2*-5 + sqrt(1331) + (sqrt(1331) + -1 - sqrt(1331)) + 3))*1.\nAnswer: -998242 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4274 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*r - 3*r - r)*(-6 + 14 + 5) + 3 - 3 - 2*r)*(16*r + 1117 - 1117).\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8245 - 3031 = 22*x. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-2.9313\nAnswer: 0.29313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 - -1 - (30 + -24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 85*v**3 + v. Let c be x(-1). Let p = -157 - c. Round p to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 25 + 10 + 6. Solve -186*a - w = -197*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 times -66?\nAnswer: 24288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 645988531.\nAnswer: -645988528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.08, 3, 0.8, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -d - 49, -3*r = 22 - 7. Let a = d + 102. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o + 15. Let g be f(-3). Let q(w) = -w**2 - 3*w + 56. Let i be q(g). Solve d - 6*d = -a, -2*a - i*d = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2623242 divided by 6.\nAnswer: 437207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1351 + 147?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/84)\/((-128)\/(-3136))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:49 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204024331 + 24112?\nAnswer: -204000214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41 - 0 - (-13 - (-27 - -43))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 13*i**2 + 20*i - 5. Let b be d(-11). Calculate the greatest common divisor of b and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - v + 0 = 3, -5*u - 5*v = -30. Let x be u\/2*(-20)\/(-15). Suppose -2 = -2*n - x*w, -n + 3*w = -0*w - 5. Solve -m + 3 = n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2173, -12027, -28473, -51511, -81141?\n\"Answer: -3296*c**2 + 34*c + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 2*l. Let m(q) = 6*q**3 - 7*q. Let n(r) = r**3 + 15*r**2 + 51*r + 3. Let b be n(-10). Give b*z(o) + 2*m(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4492, 4494, 4496, 4498, 4500?\n\"Answer: 2*i + 4490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -23*b**5\/20 + 17*b**4\/12 - 17*b. What is the third derivative of h(v) wrt v?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 33. Let g = 7 + -4. Sort -2, w, g in descending order.\nAnswer: g, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**7\/210 - l**6\/40 - 121*l**5\/60 - 39*l**4\/8 - 11*l**2 - 4*l. Factor q(h).\nAnswer: h*(h - 13)*(h + 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.931712 micrometers in centimeters?\nAnswer: 0.0002931712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3482 is divided by 3287?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -4. Suppose 4*n - i = -a, 3*a - 5*n = -2*a. Find m such that 3*m + 6*m**4 + m**3 + 0*m**3 - 6*m**2 - 7*m + m**3 + a*m**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1*3\/(-3). Let t be (3\/m)\/((-42)\/(-112)). Sort -3, t, 3 in descending order.\nAnswer: 3, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 42240*d - 1723435 = 0.\nAnswer: -8407, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 931*h - 492*h = -1758*h + 26364 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 12*q + 14. Give k(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -3874374\nAnswer: 1937187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 - 4889*j - 368. What is g(-68)?\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*b**4 + b**3 - 11*b + 13212 wrt b?\nAnswer: 312*b**3 + 3*b**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -4\/5 (c) -24 (d) 680\/9 (e) -8 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2323, 2310, 2281, 2230, 2151, 2038, 1885, 1686?\n\"Answer: -w**3 - 2*w**2 + 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 3 = 0. Let y = -5 + 3. Let p = w + y. Which is smaller: 2\/17 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065992 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 3. Let r(c) = c**2 + 3*c + 4. Let g be r(-3). Let j be u(g). Is -1 + (-48 + 0)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*g - 134, -2*k + 64*g - 63*g + 274 = 0. Calculate the remainder when k is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1230 - 611 - 4*y - 615. Let n(r) = 4*r - 3. Determine -5*h(l) - 6*n(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-692)\/(-5) + -9*(-20)\/(-450). Let v = 103 + q. What are the prime factors of v?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1162 - -3495. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225424089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(90) - sqrt(10)))\/(sqrt(192)\/sqrt(6) + sqrt(8) + sqrt(8)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -26*z. Let k(u) = -1016*u. Determine m(k(d)).\nAnswer: 26416*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + ad5?\nAnswer: ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/81)\/(39\/(10296\/110))*3\/(-2)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 20*q**2 - 8*q + 8. Let j(m) = -13*m**2 + 5*m - 5. Determine -5*a(k) - 8*j(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -8*z + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 17 + 9 - 7*a**2 - 8*a + 6 + 0*a**2 to the form n*a**2 + r + b*a and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314\/57 + 13\/38. Calculate the common denominator of h and 7\/561.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1254 + 10603?\nAnswer: 7327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -84*g + 48. Let w(z) = -12*z + 7. Suppose -163*i = -405 + 4806. Give i*w(q) + 4*r(q).\nAnswer: -12*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41996.\nAnswer: 2, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 23 - 49 = 0. Which is the second smallest value? (a) -0.7 (b) -3 (c) 1\/4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 5:09 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {c: 1, g: 2, n: 1, b: 6, i: 1, e: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/317583 and -7\/15788412?\nAnswer: 110518884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-29381)\/2068 - (-2)\/47.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 5. Let a be i(9). Let h(y) = -4*y**2 + y + 1. Let u(b) = 5*b**2 - 2. Let p(l) = 4*h(l) + 3*u(l). Calculate p(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588326411 a multiple of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102, -116, -136, -162?\n\"Answer: -3*x**2 - 5*x - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 20, 5 = 3*u + 28*b - 27*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f + 12 = 0. Let c(a) = -2*a**2 + 3*a + 3. Let x(w) be the third derivative of w**5\/30 - w**4\/12 - w**3\/3 - 17*w**2. Calculate f*c(k) - 6*x(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -32. Let m(o) = -48*o**2 - 3*o + 5. Let n be m(f). What is n rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -3)\/(-1 + 46\/47). Let i = l + 49. Solve 0 = v - i*w + 3*w + 7, 2*v + 23 = -5*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 7. Let b be a(-7). Suppose -s = 2*h - 7, 3*h - 3*s - 21 = -s. Suppose 2*x - 14 = -5*d + 4*x, 4*d + 2 = -h*x. Solve b*t + d = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)\/(2\/10). Calculate the greatest common divisor of a and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1689274109133 and 0.1?\nAnswer: 1689274109133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, 0.5, -0.4, -2.566, 675?\nAnswer: -2.566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ippdjlr. Give prob of sequence pp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s - s**2 + 1847*s**3 - 1832*s**3 + 0*s in the form q*s**2 + o + j*s**3 + r*s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 2333052?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 - 5*m + 10. Let b be p(4). Let f be ((-4)\/3)\/(b\/255). What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 3*j**5 - 4*j**5 + (j**4 - 3*j**3 + 3*j**3)*(-2*j - 3*j + 4*j) - 2*j**5 + 2*j**2 - 2*j**2.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*p - 3*j = 386*p + 43, 0 = -4*p + j - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 278814113, 557628234, 836442355, 1115256476, 1394070597, 1672884718?\n\"Answer: 278814121*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -8) + 57\/(-19). Suppose 0 = i*j - 1930 - 17048. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/(((-4)\/30)\/(24\/(-90)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**2 - 11*s - 3. Let d be (8\/(-5))\/(2\/(-10)). Is h(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (20 + -17)) + 2*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*16276695.\nAnswer: -8138347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17318 is divided by 796?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2 - 8*t + 5*t + 5*t + 0*t. Let b(x) = -x + 1. Let q be b(-4). Suppose -q*n - 4*r + 14 + 10 = 0, -7 = -n - 3*r. Calculate s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -5 (c) -2\/7 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9.9, 0, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 126 = -0*g - 5*w, 0 = 3*g - 4*w - 123. Suppose 5*a + 10 - 130 = -5*y, -a - 56 = -3*y. Calculate the remainder when g is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 305153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -28*u - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 1. Let d(c) = 14*c + 15*c - 32*c. Calculate 3*d(a) + 2*g(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose 1 = q + d. Let a be (q\/(-6))\/((-1)\/(-6)). Calculate the greatest common divisor of 8 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24752 by 476.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 30450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1296891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26581.9872 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (888\/185)\/(96\/120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {y: 2, p: 2, x: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211000121201 (base 3) to base 5.\nAnswer: -340340414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-50) - (66\/(-30) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 3*n**2 + n + 7. Let y(m) = 2*m**3 - 4*m**2 - m - 8. Let x(k) = 3*c(k) + 2*y(k). Give x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2 + 0*n - 4 + 7*n - 3. Let b(o) = -76*o**2 - 1. Let w be b(1). Let l = w - -67. Let j(t) = -t + 1. Determine l*j(p) - 2*m(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 22 = -5. Suppose -q*m = -3*m. Let u = 49 + m. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 1. Suppose -18 = s + 5*d, -3*s - 2*d = -5*d - 36. Calculate the lowest common multiple of r(s) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 10*r + 10. Let y be x(8). Let l = 8 + y. Factor -2*i**l - 4*i + 18*i**2 - 12*i**2 - i**3.\nAnswer: -i*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239538 divided by -55?\nAnswer: -239538\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -88716, 19, 3 in decreasing order.\nAnswer: 19, 3, -88716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -106*h. Let j(q) = 5*q - 3*q + 0*q - 3*q**2 - 2*q. Determine l(j(s)).\nAnswer: 318*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 1 + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 0. Suppose q*b + 4*t - 29 = 0, -b + 2*b + 3 = 5*t. What is the highest common divisor of 77 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + 2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 16. Let d be b(7). Let a be 90\/(-3 + 2)*d\/9. Round a to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -28*v - 19. Give b(5).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-8) - -4)*4. Let w be (-144)\/(-40) - 6\/10. Suppose -3 + 0 = -5*k - 4*f, -f = w. Solve d - r*g = 7, 6*d - k*d + 9 = -4*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -533538*o - 402242 wrt o?\nAnswer: -533538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2503*a**3\/3 + 5003*a**2\/2 + 1676. Find the second derivative of n(b) wrt b.\nAnswer: -5006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*a = 13, 6*j - 19 = 4*j + 5*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.8 + 1.8. Which is the smallest value? (a) r (b) 1\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 4 = 0, -5*g + 9 = p. Suppose -u + p*u = 0. Which is the nearest to u? (a) -1 (b) -0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 256 and -98.8?\nAnswer: -25292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246\/(-287)*(-7)\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 10*j - 13. Solve -j = -5*w - 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 18. What is v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 3*y + 0*y + (-2 - 1 + 4)*(4*y - 3*y + y) + 0*y + 3*y - 4*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614?\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:53 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19902 is divided by 6633.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 - 8*x**2 - 6*x + 8. Let w(v) be the third derivative of v**6\/40 + v**5\/12 + v**4\/6 - 5*v**3\/6 - 25*v**2. What is 5*d(z) + 8*w(z)?\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1572\/(-144) - (-551)\/228?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d)\/d*d\/(d*d**0))\/(d**1\/(d*d**1)) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -166, -173, -182, -193, -206?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 27?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, k: 10, s: 2, u: 3}. Give prob of sequence klk.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 9\/4, -1182, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 + -394. Let q(w) be the first derivative of 6*w - 6\/5*w**5 + 0*w**v + 0*w**4 + 2 + 0*w**2. What is the first derivative of q(f) wrt f?\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2 - 3*k**3 + 240 - 11*k - 240 + 2*k**5 wrt k.\nAnswer: 120*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/45 - (-4)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -196*o**5\/25 - 14*o**4 + 4*o**3\/5 + 8*o**2 - 16*o\/5 + 262. Factor j(k).\nAnswer: -4*(k + 1)**2*(7*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-30) - (-142)\/60)\/(-6)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3\/5 - 69693*l**2\/5 - 69696*l\/5 = 0. What is l?\nAnswer: -1, 0, 23232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -1\/38, 2?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/7*(-168)\/360?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*j - 90. Let w be (-18)\/(-2)*j\/9. Solve -5*x - w = 4*o, 3*x = -2*x + 5*o + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -111002?\nAnswer: -110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1203*z - 679*z - 2777*z + 1002*z to the form g*z + t and give g.\nAnswer: -3657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-q - 3*q - 2*q)*(-33*q + 33*q - 9*q**2).\nAnswer: -108*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7074, -13878, -20728, -27618, -34542?\n\"Answer: x**3 - 29*x**2 - 6724*x - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 minus 0.41?\nAnswer: -58.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n**2 - 5*n. Let c(k) = 24*k**2 + 15*k - 3. Let x(v) = 50*v**2 + 25*v - 5. Let r(j) = 5*c(j) - 3*x(j). Calculate z(r(b)).\nAnswer: 11700*b**4 + 150*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Let t(m) = 2*m - 7. Let g be t(12). Let j(h) = -h**2 + 18*h - 11. What is the least common multiple of b and j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/13 - 483044*v**2 + 4929102944514*v\/13 + 39433225449744\/13.\nAnswer: 2*(v - 1569897)**2*(v + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35709831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a + 54*a + 1555 + 522 + 953 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -992\/11. Let v = -0.03 - -4.03. Sort v, 3, c.\nAnswer: c, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*h - 296 = -259*h. Which is the third smallest value? (a) -2 (b) h (c) -6\/5 (d) -0.5 (e) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565106 is divided by 630.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373198517*y*z**4 + 130*y*z**2 - 10*y*z - 210*z**2 + 2*z - 6 wrt z?\nAnswer: 8956764408*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016558 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211470593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.6 - -33.76415835.\nAnswer: 45.36415835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10114030402 + 3?\nAnswer: -10114030344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/12*3 + 16. Solve -2*t - 6 = l, -5*l = -0*l + 4*t + b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + -0.12. Let z = -2.6 - -3. What is the nearest to -1 in 2, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = 6*n. Factor 4 - 8*f**3 + 32*f**2 - 40*f**2 + 2*f**n + 4*f**4 + 2*f**5 + 4*f.\nAnswer: 4*(f - 1)**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 2*a - 7, 4*l - 3*a - 16 = 0. Let o = 171\/1027 + -1\/79. Sort l, -5, o in decreasing order.\nAnswer: l, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001011111011 (base 2) to base 11\nAnswer: 6801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 46*m**2. Let n(z) = -5193881*z**2. What is a(n(s))?\nAnswer: 1240914392739406*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -dfef5 (base 16) in base 7?\nAnswer: -10540106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.17 (b) -248 (c) -2\/3 (d) 0.4 (e) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -17. Let z(c) = c**3 + 11*c**2 + 8*c - 14. Let k be z(v). Suppose -33*x + 5 = -94. Calculate the greatest common factor of x and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:16 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 616\/(-176)*384\/42.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5176, -2, 1 in descending order.\nAnswer: 1, -2, -5176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 9*u**2 + 10*u. Let d be j(10). What are the prime factors of 2\/(d + 4\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -25847 <= -25848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-364)\/42 - (-2 - (-4)\/3). Let a(g) = -g**2 + g + 9. Let m(f) = -f**2 + 2*f + 14. Give b*a(v) + 5*m(v).\nAnswer: 3*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -36*r + 1. Let i(z) = z - 6. Let q(t) = -4*t + 20. Let p(o) = -10*i(o) - 3*q(o). Let f(u) = -u. Let h(c) = -6*f(c) - 2*p(c). Calculate h(k(j)).\nAnswer: -72*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 11, u: 2, z: 3, j: 2}. What is prob of picking 2 s and 2 u?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 327821000 a multiple of 10855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 597879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 24, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076266967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**3 + 39*g**2 - 1185*g - 16. Give t(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 24\/290305 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-5196)\/(-65816))\/(3\/(-4))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2 - 2*m - 2*m**2 + 0. Let f(p) = 34*p**2 + 12*p + 27. Let j(v) = 16*v**2 + 6*v + 13. Let u(d) = -6*f(d) + 13*j(d). Give 7*q(x) + 2*u(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 836*c**3 + 54332*c**2 - 112544*c + 1072.\nAnswer: 4*(c - 2)*(c + 67)*(209*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 716231610*w**4 + 134003082*w**2 wrt w?\nAnswer: 17189558640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/120 + l**4\/8 + 17*l**3\/6 - 47*l**2. Is 24 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 149. Let a = -14754.144 + 14811. Let b = x + a. What is b rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 773*g = -778*g - 220 + 66, 0 = 4*g + 116 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 3. Let g be r(-3). Suppose g = 2*o + 3*x - 190, o + 2*x - 111 + 14 = 0. Let d = -47 + o. What is the smallest common multiple of 10 and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76767 centuries in millennia?\nAnswer: 0.176767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 420\/(-2673) - -3*12\/198. Let w = 133\/81 + n. Which is bigger: 2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43171306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1172\/5 in -3, 3\/7, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*1641\nAnswer: -820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2829, -91 in descending order.\nAnswer: -3, -91, -2829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389641 divided by 410.\nAnswer: -389641\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsksluuku. Give prob of picking 1 l and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 796630470 a multiple of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1366, 1346, 1340, 1354, 1394, 1466, 1576?\n\"Answer: h**3 + h**2 - 30*h + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*j + j + 5*i, 2*j + 2*i = 70. Calculate the remainder when 163 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**5 + 11*z**4 - 1478*z**3 - 386169*z?\nAnswer: 40*z**3 + 132*z**2 - 8868*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422659 is divided by 2081?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*l**4 + 70*l wrt l?\nAnswer: 624*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11834, -48333, -109164, -194327, -303822?\n\"Answer: -12166*q**2 - q + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, n: 5}. What is prob of picking 3 n?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(3024)*1 + sqrt(3024))*-3)\/((sqrt(324)\/(sqrt(27)\/sqrt(3)))\/(sqrt(24)\/sqrt(2)*2)))**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2 - sqrt(119))\/sqrt(7) + (sqrt(34)\/sqrt(2) - sqrt(17)) + 0 + -2.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -2*sqrt(13) + (sqrt(325) - -1*sqrt(325))**2 + (sqrt(208)*3 - (sqrt(208) + (sqrt(208) - (sqrt(208) + -1)**2)))).\nAnswer: -18*sqrt(13) + 4530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/6 + 17*w**3\/3 - 77*w**2 + 177. What is the second derivative of h(p) wrt p?\nAnswer: 20*p**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u = -20*u. What is the fourth smallest value in 2\/17, -4, u, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39282 take away 4?\nAnswer: -3.60718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 39131.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 21. Determine p(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9648399 or 9648396?\nAnswer: 9648399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2812758 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2, 2\/39, -27\/4 in descending order.\nAnswer: 2\/39, -0.08, -2, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + (-1222)\/(-14). Suppose 125 = 4*w - t. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.276 and -186?\nAnswer: -237.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2476 + -1127. What are the prime factors of b?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229 + -229.131. Let k = 5.131 + m. Are -1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 3, n: 1, x: 1, j: 3, q: 1}. Give prob of picking 1 q and 3 j.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8271, -34290, -78057, -139572, -218835, -315846, -430605?\n\"Answer: -8874*x**2 + 603*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -0*p + p - p - 500 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 1067*x + 3. Let u(h) = 12*h**2. What is g(u(y))?\nAnswer: -144*y**4 + 12804*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 787 = 253. Let f = 1557 - j. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*z + 16, -3*b + 0*b - 2*z + 12 = 0. Suppose 0*h = -h + b. Do h and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53945 or -53923?\nAnswer: -53923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - j**2 - 4)*(j - 3*j + j)*(2 - 6 + 2).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/60 - 7*r**4\/24 + 2*r**3\/3 - 13*r**2. Let h be g(-8). Find the common denominator of 61\/2 and -1 + 4*1 + (-106)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195000 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -777 (b) -1\/3 (c) 0.5 (d) -8.2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -782*y + 849*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 11*j + 277. What is q(-28)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-2))\/(308\/616)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*a - 50. Let y(j) = -2 - 5 + a - 7. Let b(s) be the first derivative of -s**2 + 6*s - 1. Give b(r) + 8*y(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tccthttthtththccttt. What is prob of sequence th?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -18 - 3*o + 20 + 0. Let y(c) = -4*c + 4*c - c. Let x(u) = u**3 - 3*u**2 - 3*u. Let m be x(4). What is m*y(b) - s(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/5)\/(537\/(-17005)) and 41\/142?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i**(-26))**(-21\/5) assuming i is positive.\nAnswer: i**(693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1006\/5 + -200. What is the second smallest value in -3, 2\/17, h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) + 0 - 13480677\/(-82). What is d rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 388628542?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 94. Let g be w(0). Suppose 0 = 4*z + 22 - g. Calculate the greatest common factor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/12 - f**5\/60 + f**2. Let k be b(1). Let r = 33 + k. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -139?\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2134, -2133, -2132, -2131, -2130?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 14 + 2245*n - 2242*n - 22 + 11. Let m(l) = l**2 - 8*l - 7. Let r be m(9). Suppose 5*s + 2*d = 13, 0 = d + r - 1. What is o(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*v + 8219 + 20971 = 5670 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1721*s**3 - 50*s**2 + 10*s - 1. Let h(d) = 1721*d**3 + 54*d**2 - 8*d. Let c(u) = -5*h(u) - 4*r(u). What is the third derivative of c(x) wrt x?\nAnswer: -10326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) - 2*sqrt(66) - sqrt(66)))\/((sqrt(6) + sqrt(18)\/sqrt(3))*-5).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 + 8 = 0. Suppose -4*h = -16, q*c = h + 71 + 41. Suppose -2*x - 15 = -3*x - 3*i, 5*x - 2*i = c. What is the least common multiple of 2 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + 5 + (sqrt(325) + 5)**2 + -4.\nAnswer: 51*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 19*h**2 - 166*h - 56. Determine n(-6).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 5 - 2 - 4. Solve -3*k = -o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (2102\/(-18) - 10\/45) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000111 (base 2) to base 5\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106456056?\nAnswer: 2, 3, 7, 633667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/55)\/(2\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34579248973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 34*n**2 - 6. Let q(p) = -29 + 5 + 7 + 14 + 2. Determine -4*q(c) + s(c).\nAnswer: 34*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 24. Suppose -20*a = -18*a - 170. Suppose 326 = 4*g + v + a, -5*v - 235 = -4*g. Calculate the highest common divisor of g and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27287 is divided by 4893.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + (-12 - -9) - (-2 + 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -64, -107, -168, -253, -368, -519?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 434093615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l. Let m(b) = -17*b. Let n = -33 - -36. Suppose 4*x = -q + 17, -x - 4 = -n*q + 8. What is q*m(f) + 8*y(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -3, 3, 7, 1 in descending order.\nAnswer: 73, 7, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04814978 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*(-2)\/(-6))\/((67525\/438)\/(-185)). Solve -4*k**2 - 2\/5*k + 2 + 2*k**4 + a*k**3 - 2\/5*k**5 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -211143321?\nAnswer: -211143330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 182, -3, 6, -1 in descending order.\nAnswer: 182, 6, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-693)\/54)\/(-7)*(-16)\/(-44)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a43 + -20?\nAnswer: -a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30 and 89\/1197?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(18297\/(-18)) - 5915\/1605\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3)\/c*c*c*(c\/(c\/c**(13\/2)))\/c*((c*c*c**(-15\/2))\/c)\/c*c*c\/c**(-5)*c assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - d + 11 = 0, 6*f - f - 3*d - 15 = 0. Suppose -2*r - f = -5*r. Differentiate 1 + 9 + 0*a**2 - a**r - 11 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/281 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3611 (base 7) to base 3\nAnswer: -1211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -7*v + 868. Let h = v + -81. Let k = h - 37. Which is smaller: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.114 + 0.0707. Let o = 0.5433 + h. Which is the nearest to 14? (a) o (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, r: 1, t: 4, s: 10}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12172*d**2 + 8119 wrt d.\nAnswer: -24344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/15 (b) 4\/9 (c) -3 (d) -0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 12. Let l = 11 + t. Let g = -0.433 - -0.033. Which is the closest to -7? (a) g (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-725)*-15*-5*(-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/58)\/((-2560)\/18560).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -16248, -2, -0.3, 4 in increasing order.\nAnswer: -16248, -2, -1\/2, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/1621053 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21.3644 - -7522667\nAnswer: 7522645.6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j + 4 = -3*f + 53*j, -j = -4*f + 20. Solve 0 = -7*b + 11 - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w = -25*w - 702. Let y = w - -258. Calculate the remainder when 139 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1d?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 0, 3*d + d = -4*y + 20. Suppose h - 74 + 12 = -5*c, 0 = -d*c + 20. Suppose 0 = -z + 3*z - h. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73905 is divided by 998?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from {b: 3, g: 1, z: 2, w: 2, r: 3, p: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*w + 33200, -91589 = -4*w - x - 25189. Round w to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*6\/60 + -6 + 28706\/4480 and -13\/168?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101401 - 332?\nAnswer: -102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfxa when four letters picked without replacement from {a: 2, r: 1, x: 2, t: 1, f: 2, h: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2 - 2*a**2 + 0 - a**2. Let h be 6 + -7 + 1\/(-1) + 5. Suppose 0 = -2*q + 2*s, h*s + 8 = -q - 0*s. Determine r(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13. Suppose 0 = -a*o + 2*o - 60. Let c be ((-6)\/(-15))\/(2\/o). Solve 3*f + 3*s - 6 = 0, c*s = -2*f + 2*s + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a**2 + 8*a + 12. Let f(y) = -y**2 + 12*y - 18. Let i be f(9). Calculate m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 974700 and 3876.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*m*w + 13*m*x**2 + 193*w*x**2 - 5 wrt m?\nAnswer: 131*w + 13*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1\/55094, 2.9 in descending order.\nAnswer: 2.9, 3\/5, 1\/55094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = f - 25, 0 = 5*f - 4*n - 41. Let v = 10 + f. Suppose -10*m = -144 - 436. What is the remainder when m is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -197, -232, -271, -314, -361, -412?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899 and 1829.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 688 - 566. Calculate the remainder when p is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:52 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 161, 124, 87, 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.35600141542 + -32.356. Round q to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -140, -125, -74, 25, 184?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-497)\/(-42)*12\/2. Suppose -5*u + 5*i = -415, u - s + 3 = -2*i. Is 39 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 - 2*w + 6. Let s(r) = -3*r**2 - 2*r + 4. Let u(d) = -2*n(d) + 5*s(d). Suppose -19*q - 54 = -10*q. Calculate u(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 1, -2, -11, 2\/113, 1\/7 in ascending order.\nAnswer: -11, -2, -0.22, 2\/113, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1627 + 39444 = 651*m - 30539 for m.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4286, 17364, 39160, 69674, 108906, 156856?\n\"Answer: 4359*l**2 + l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 + o**2 - 13*o + 6. Let l(j) = -j**3 + j**2 - j. Let u(t) = h(t) - 5*l(t). Suppose 18 = 6*r - 12. Determine u(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/((r\/(r*((r*r**(1\/5))\/r)\/r*r))\/r))\/r))\/r**16)**(1\/11))**35 assuming r is positive.\nAnswer: r**(-567\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/9 - 2*s**3\/3 + 32*s**2\/9 - 8*s\/3 = 0. Calculate s.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 67747?\nAnswer: 677470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 37023*d - 18512.\nAnswer: (d - 18512)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 481385538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 150*g + 57. Let x be o(52). Solve -4*b + 16 = 0, 3*s - b + x = 365 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/8*(-73)\/((-730)\/12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.2, -0.03, -4 in descending order.\nAnswer: 2\/7, 0.2, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20418085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o - 84 = 24, 2*o + 6 = 0. Let i = j + 43. Calculate the lowest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 less than 50010?\nAnswer: 50007.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + 188*r**2 - 370*r + 183. What is g(92)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**5\/30 - d**2\/2 + 1. Let s(x) be the second derivative of r(x). Let m(o) = -5*o**2. Determine m(s(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 5*b + 31 = 0, 385 = -5*v - b + 394 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - 26\/117. Which is the nearest to 1\/2? (a) -5 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m**2 + 20*m + 14324. Let x(o) = -12*o**2 + 14*o + 9549. Determine -5*w(b) + 7*x(b).\nAnswer: b**2 - 2*b - 4777","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -19*w**2 + 839. Let b(y) = -8*y. Give b(h(i)).\nAnswer: 152*i**2 - 6712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.693*2130\nAnswer: -3606.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 10*t**2 - 5*t. Give i(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 10. Let a be w(-10). Suppose 0 = -f - a + 2. Suppose 0 = 4*y + 5*s - 13215, -2*s = f*y - 4571 - 2035. What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188*s**3 + 465*s**2 - 465*s**2)*(-2*s + 12*s + s).\nAnswer: 2068*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 162780 in descending order.\nAnswer: 162780, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 11*i**2\/2 - 15. Let p(l) = -l. Calculate m(p(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 - 319598180402.34.\nAnswer: -319598180405.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 13*l + 20. Suppose 12 = 3*w - 0*w. Let d(u) = 2*u**2 - 13*u - 19. Let h(x) = w*d(x) + 3*c(x). Let g be h(-11). Solve -n - 1 = -g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/51)\/(2\/(-96)*4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -35 (c) -4 (d) 9 (e) 31 (f) -0.2 (g) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -18. Suppose 0 = z*i - 36 - 51. Let a = 13 + i. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(1\/(-3)). Let l = -13 + 9. Put l, d, -2\/3 in increasing order.\nAnswer: l, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.8. Let g = f + -0.5. Which is the closest to g? (a) -0.5 (b) 2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 13*y = -d - 1701, 1705 = 4*y - 5*d. Calculate the highest common factor of y and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2844 divide 481152684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 416925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 326*m + 321*m + 326*m + 18 - 971*m. Let u be l(-7). Which is the closest to -5? (a) -0.5 (b) u (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 - 1)*(2 - 2 + c) + 7*c + c - 3*c)*(-5*c + 0*c + 29*c).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -7*d**4\/4 + 26*d**3 + 379*d**2\/4 + 76*d + 9 = 0?\nAnswer: -2, -1, -1\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 65\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 7. What is the remainder when d(-5) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 19*h - 109. Determine b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36063789*y**4 + 64525105*y wrt y?\nAnswer: 432765468*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5533 + -2954. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 9 = 3*z, -2*z + 1 = 63*s - 60*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 47 - 15017*a + 14065*a + (-3 + 3 - 2)*(2*a - 3 + 3) + 3 - 3 - a.\nAnswer: -957*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**2)\/o)**3)**(-7\/8))**(14\/11) assuming o is positive.\nAnswer: o**(147\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-8)*-30*(-4)\/45?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.428 and -7517?\nAnswer: -3217.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6916 = 2*z + 2292. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 + -102. Let q = -57 + v. Let s = q + 16. Solve c + 4 = -s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 1. What is v(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 7*a + 3. Let l be m(7). Suppose c - w = 0, l*c + 2*w + 4 = 6*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1756000 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4762?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, 3, -3\/8, 0.277?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -837, -3, -2, 2204.\nAnswer: -837, -3, -2, 2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose g*l + 4*l = 4*j, -l + 3*j - 6 = 0. Suppose 0 = -4*u + 1 + 7. Solve 3*y = -3, 2*w + l*y - 1 + u = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 81, 123, 183, 261?\n\"Answer: 9*l**2 - 3*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-1*77\/(-42))\/(-1). Let x(f) be the first derivative of 4 - z*f**4 + 7\/3*f**3 - 4\/3*f - 4\/3*f**2 - 7\/15*f**5. Determine g, given that x(g) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(x + x + 2*x)*(1 - 1 + 2*x + (3 - 3 + x)*(-2 + 3 - 3) + 2 - 2 - 2*x) to h + w*x**2 + c*x and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-429)\/(-6) - -3)*2*7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 203 - 523 = 0. What is the remainder when 6200 is divided by h?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-120)\/(-215)) + 2\/8. Suppose -2*l + l + x = -u, 2*l - 10 = 5*x. Find n, given that 5*n**2 - 5*n**3 + l*n - 28*n + 18*n - 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-39)\/(-3640)*((-2)\/9 + 0).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185854950 divided by 17957?\nAnswer: -10350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15316961 and 6?\nAnswer: 91901766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/13 - (-11880)\/5720. Let k be 8\/(-1*(-2 + 1)). Solve -m - k = -2*m - 4*b, -b = m - v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m + 3. Let p(c) = 52*c + 8. Let h(s) = -8*l(s) + 3*p(s). Let t(v) = -10*v. Determine t(h(o)).\nAnswer: -200*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72427 + 72426. Let h(f) = 1. Let n(i) be the second derivative of i**3\/2 + i**2 - i. What is g*h(w) + n(w)?\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**3 - 93*g**2 - 64*g**2 + 23*g**3 + 2*g**2 - 58*g**3.\nAnswer: -3*g**3 - 155*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 15. Give c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17103*x + 8555*x + 5*x**2 + 8548*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0 + 0)*((-15 - 32 + 9)*(-1 + 3 + 2) + (3 - 2 + 1)*(5 + 1 - 4)) + (-v + 2*v + v)*(4 - 5 + 0).\nAnswer: 294*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30544789*j**2 - 30544817*j**2 - 30544823*j**2 + 91634378*j**2.\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 - (-2 - -4). Let o be 6*(-4 - (-45)\/10). Suppose 4*b - 3*p = -6*p + o, -35 = 5*b - 4*p. Is b greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1618425.\nAnswer: 2\/1618425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v + 43 = 3*w, -32 = -4*w - v. Let n be 3\/((w\/(-4))\/(-3)). Suppose -2 = q + u - 0*u, 0 = -2*q + 2*u + n. Solve 0*z - 4*z + 4 = q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-1\/5)\/i*i*i))\/(i*(((i*i**(-6\/19)*i)\/i)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-141\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 222456 or 0?\nAnswer: 222456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-96)*6\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*1*-3 - 1. Suppose l*x + i = -i + 24, 5*x = -i + 64. Let q = -1 + x. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 4. Suppose -p*r = -5*r. What are the prime factors of (r - 11)*(-1)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(2 + -3)*-12. Let q = 30 + a. Let z = 51 - q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 14 + 94. Suppose w*h + 64 = 24*h. Suppose -5*v + 1 = -2*p - 10, 5*v = -5*p - 10. Solve -3*c + h - v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3587, -12196, -26457, -46376, -71959, -103212, -140141?\nAnswer: -182752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*z = -75, 9*w + 2*z = 8303 - 8333 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 530 divided by 2\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/((-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -82*r**5 + 10*r**4 + 52*r**2 + 5. Let p(h) = -81*h**5 + 8*h**4 + 52*h**2 + 4. Let g(j) = 5*p(j) - 4*v(j). What is the third derivative of g(f) wrt f?\nAnswer: -4620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2. Let g be r(0). Let t be 3\/15*12 - g. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 8*t**3\/3 - 6*t. Let u(p) = -2*p. Calculate y(u(f)).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.548 - -0.55. Let o = -0.502 + x. What is the second biggest value in o, 4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - 10 - -17 - -37?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z*z\/(z\/(z**(-12)\/z)))\/(z**(-11)*z*z**(-2\/3)) assuming z is positive.\nAnswer: z**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 + 396*s + 5040 = 0. Calculate s.\nAnswer: -84, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 12:39 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 39. Let b = 7 + c. Suppose 29800 = v - 5*j, 2*v + b*j = 2*j + 59600. What is v rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 4*b + 21. Calculate f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/66*114\/76.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, -21, -117 in descending order.\nAnswer: 5, 3, -1, -21, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 - (37 - 63)) + 2 + 0 + 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 387*v*x**3 + 101855*v*x**2 + 247*v - 2*x**4 - 8*x - 3903 wrt x.\nAnswer: 2322*v*x + 203710*v - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)\/(58 + -59). Determine c, given that 3\/7*c**a + 0 + 12\/7*c**4 + 0*c - 12\/7*c**3 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -165*d**2 - d - 1. Determine y(-1).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/4)\/((-7)\/(-28)). Suppose 0 = -o - u*o + 195600000. Round o to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13817 divided by 5?\nAnswer: 13817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -1 - (0 + 1) - -4. Suppose -69 = -n*t - 9. Calculate the lowest common multiple of 36 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 13*f**2 + 14*f - 20. Let i be x(12). Suppose 4*j - i = 0, h + h - j - 123 = 0. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -12. Let k = 2 - t. What is the least common multiple of 8 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 19921 in increasing order.\nAnswer: -4, -3, 19921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 61. Suppose 3*w + g*a = 273 + 1738, 5*w + 5*a - 3360 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.87772529 to 2 decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + m + 4. Let h(f) = 5*f**2. What is -h(r) + n(r)?\nAnswer: -6*r**2 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*u - 625*u + 27 + 10.\nAnswer: u + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-390)*(-3)\/2)\/((-27)\/(-7452)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 53*j**2 + 30*j + 235. Does 163 divide u(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-182 - -161) + 34 + 0 + 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2121 (base 3) to base 6\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 475539783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 202 = -25. Let d = h - -65. Solve 0 = 3*t + d - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 69774.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:46 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18b869 + -b?\nAnswer: 18b85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times 0.1?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = -19. Let a(x) = 5*x + 6. Let q be a(t). Let b = q + -24. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 569484500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 11) to base 14.\nAnswer: -d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 4, a: 2, v: 1, u: 2, n: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3000275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 4*l**2 + 0*l**2 - 2*l)*(-2 + 2 + l)*(-3568928 + 3568928 - 1347*l).\nAnswer: -1347*l**4 + 2694*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-357952)\/5593 - 453\/(-7)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70068335 + -12332110979\/176. Let u = y - -5300\/11. What is the common denominator of u and -37\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224620\/(-20420) - (142\/(-13) - 0).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.056 - 42.056. Let w = o + 68. Let z = w + -25.99999. Round z to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 506 - 506.2. Let t = -3 + 8. What is the biggest value in 2\/11, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n. Let f(j) = 10*j + 155. Let x be f(0). Let r(d) = -76*d - 80*d + x*d. Determine c(r(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-16) + (-19524)\/(-96). Let n be 3\/(-2)*(l\/21 + -7). Which is bigger: n or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.274 and -37578.\nAnswer: 85452.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-14)*r)\/r**(-8))\/((r\/(r\/(r**18\/r)))\/(r*r**16)))**(-44) assuming r is positive.\nAnswer: r**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*l + 2, 2*l + l + 12 = -3*w. Sort 0, 2, w in increasing order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16627933043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:23 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2643897415 to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2, 1993189 = 4*f + c - 630857. Suppose -g = -2007219 + f. Let q = g - 698207. What is q rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - (0 + -3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 7. Let z(u) be the first derivative of -11*u**2\/2 - 15*u - 17. Let k(j) = 13*y(j) - 6*z(j). Let x be k(0). Is -4\/3 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 702\/169 + (-3 - 1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517\/3025 - (-4 - 90\/(-22))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvaavlpalvmpapa. Give prob of sequence lalm.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*q - 955*q + 95796 = 121*q - 12834 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 3*w + 6, -15*h + 12*h + w = 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**6\/90 + g**5\/3 - 25*g**4\/6 + 8*g**3\/3 - 10. Let q(b) be the third derivative of l(b). Let q(w) = 0. What is w?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8350862, -16701723, -25052586, -33403451, -41754318?\n\"Answer: -n**2 - 8350858*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42180 - -42190. Solve -12*q - 26 = h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8781209543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -549192621\/2 > -274596311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/15 - 72592474*n**3\/15 - 131741689295264*n**2\/3 - 658708373883848*n\/15 = 0.\nAnswer: -18148118, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f - 2*f + 4*f)*(-9277 - 48*f + 9277) to a*f**2 + y + l*f and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -268662161 plus -8.615?\nAnswer: -268662169.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(468)*-2 + sqrt(468) - (4 + sqrt(325) + -1).\nAnswer: -11*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**3 - 1. Let i(c) = 2*c**2. Calculate i(s(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*b**2 - 26*b + 48*b - 22*b + 82*b**3 wrt b?\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 2. Let c(z) = -z**2 + z + 1. Let i(d) = 5*d - 31. Let b be i(6). What is b*v(u) - 2*c(u)?\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000120799241 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1030.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64250*b - 24130*b + 138405*b.\nAnswer: 178525*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/32 and 81\/8960.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3943997.\nAnswer: 157, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + 7 + 6 + 1 + 2 - 4 + 0 + (-2 - 4 + 5)*(1 + 0 - 3) + 0 + 0 - 2)*(3*r - 2 + 0 - r).\nAnswer: 26*r - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43560 divided by 5445?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -1. Suppose -t = 3*t. Sort 2, w, t in descending order.\nAnswer: 2, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 271575 + 84843 = 0. Does 133 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13368 + 28564. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-34)*(-2)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -0.17, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**2 + 37*c - 192. Let m(f) = -4*f**2 - 13*f + 64. Let a(h) = -2*g(h) - 7*m(h). What is the lowest common multiple of a(4) and 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -127*p + 432. What are the prime factors of l(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29130, -29208, -29272, -29316, -29334, -29320, -29268, -29172?\nAnswer: -29026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {c: 2, n: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 35*v**3 + 2*v**2 + v. Let y be u(-1). Let i = y - -49. Let z = 1.05 + -0.05. What is the closest to z in 4, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 12.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2427 (base 11) to base 6.\nAnswer: -22411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -7*v - 5. Suppose v*w + 5*z - 627 = 0, 836 = w + 3*w + 2*z. Let b = w + -75. List the prime factors of b.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8900545 is divided by 541?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/3)\/q)\/(q\/(((q\/(q*(q\/(q**(2\/7)*q))\/q*q)*q)\/q)\/q)*q))**(-6)*q**2*((q**5\/q)\/q*q)\/q*q*(q**(-1\/5)\/q)\/(q**6*q) assuming q is positive.\nAnswer: q**(423\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*n - 26, 3*y - 3*n = 26 + 88. Let h = -29 + y. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -310 - -312. Suppose q*t = -19*t + 42. Which is the closest to -0.4? (a) -5 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1483758 and 119\/69660.\nAnswer: 14837580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**3 + 56*k**2 - 86*k + 26. Determine t(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.45 (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 - (-6)\/(-14). Let m = -24.17 + 24.27. Which is the nearest to m? (a) 3\/8 (b) i (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.68 + 0.12. Let k = 0.1 - 1.3. Let q = u - k. What is the third biggest value in -2, q, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 1. Let k(r) = -4*r**2 + 20*r. Let t(b) = -h(b) + k(b). Calculate the remainder when 19 is divided by t(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000993269906 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.32 - -34.1. Let q = o + 0.22. Let y = 7\/3 + -2. What is the closest to 0 in y, -0.5, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1896\/13035)\/((3\/(2*-3))\/(30\/(-4)))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -473.08 - -469. Let u = -3.98 - f. What is the closest to u in -4\/7, 2\/7, -1\/2, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1769 and 3.\nAnswer: -5307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2087 - -2084 - (37 + (1 - -1))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -55.93. Let x = q - 0.07. What is the second biggest value in -2\/7, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 233929130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10496, 85540, 289676, 687458, 1343440, 2322176, 3688220?\nAnswer: 5506126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p - 2. Let b(t) = -26*t + 5. Let f(i) = -4*b(i) - 11*c(i). Differentiate f(z) wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141177 (base 8) to base 2\nAnswer: 1100001001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 35905462.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 + 312. Is n + 4 + 1 + 4 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 11) + (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14167 - -14222. Calculate the greatest common factor of d and 759.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {b: 2, k: 4, f: 1, g: 3, l: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (15\/(-18) + 0)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 36, 48, 0, 4, 1, 3 in decreasing order.\nAnswer: 48, 36, 4, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 15*o**2 + 20*o + 26. Let f be i(-15). What is the common denominator of 26\/7 and (-6)\/24 + f\/56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*2 + (sqrt(112)*5 - sqrt(7)) + -4 + (-1 + sqrt(175))**2 + -5.\nAnswer: 13*sqrt(7) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l = 22*t - 17*t - 15 - 59 - 6, 0 = -5*t - 2*l + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80324 - 114166. Let o = -22213 - x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490613642*w**3 + 21141723*w**2 - 2*w wrt w?\nAnswer: -2943681852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026\/10 - ((-60)\/25)\/6.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60\/304229 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21297, -20829, -20361, -19893, -19425?\nAnswer: -18957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800 = -27*l - 1475 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 8\/(-8))*(-2)\/(-4). Solve 4*i - k*i = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1789588811?\nAnswer: 29, 181, 340939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46617 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4 - 52*z**3 + 3*z**2 + 158*z + 104 = 0.\nAnswer: -52, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (32\/(-11) - 11\/121). Suppose -t - 4 + 0 = -4*p, 5*p - 5*t - 20 = 0. Put m, p, -2, -4 in descending order.\nAnswer: p, -2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1294, -11466, -21638, -31810, -41982?\nAnswer: -52154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 - 0 - 0) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8309 - -8309.1. Put 4.2, -0.1, i, 0.5, 5 in descending order.\nAnswer: 5, 4.2, 0.5, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/22 - (-317)\/11. Suppose d = -3*i + 43 + 44, 0 = i + 2*d - w. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxqbv. What is prob of picking 1 q and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -7, -12, -1925.\nAnswer: -1925, -12, -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -212?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 87.05128 weeks?\nAnswer: 14624.61504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 4*m**2 + 6*m + 4. Let w be s(-5). Let t(g) = -4*g - 2*g - 6*g + 0*g. What is the units digit of t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -4*y. Differentiate -13*i + y - 3 + 11 wrt i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m*r**3*t + 3046*m*r**2*t + m*r*t + 100*m*t**2 + 64*m + 16*r**2*t**2 + 6*r*t**2 - 4*t wrt r?\nAnswer: 24*m*r*t + 6092*m*t + 32*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 + 6*s**2 + 13*s + 2. Let h(r) = r**3 - r**2 - 3*r - 1. Let t(a) = 4*h(a) + u(a). Determine t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 11*x - 13. Let v be i(9). Suppose 4*z - 2*s - 13 = -s, v*s + 1 = 4*z. Suppose z*a + w = 250, 0 = 4*w - 0*w + 8. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0877 * -3.\nAnswer: -0.2631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 303488554 greater than or equal to 303488553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**3 + 6*d**2 - d - 4. Let f be v(6). Round f to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10874563 to the nearest integer?\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {a: 4, u: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1811277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, k: 3, v: 5, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 12) to base 13\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**4 - 13*d**3 + 15*d - 13. Let c(h) = h**4 + 6*h**3 - 7*h + 6. Let t(s) = 13*c(s) + 6*l(s). What is the second derivative of t(x) wrt x?\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 3. Suppose 17*i = -1468 + 1502. Let l(v) be the second derivative of -4\/3*v**3 + 0 + 36*v + 7\/2*v**i. Determine -4*l(m) + 9*r(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**4 - 118119*p**3 - 71*p**2 - 13*p - 227 wrt p?\nAnswer: -216*p - 708714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11816, -23662, -35514, -47372, -59236?\n\"Answer: -3*a**2 - 11837*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(25\/(-5))*(-90)\/(-4500)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 - 4*h**2 - 9*h - 7. Let a(d) = -14*d**3 + 11*d**2 + 26*d + 20. Let q(k) = -6*a(k) - 17*w(k). What is q(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**3 - 180*m**2 + 176*m + 427. Let v(f) = -3*f**3 + 36*f**2 - 35*f - 84. Let h(z) = -2*o(z) - 11*v(z). Solve h(a) = 0.\nAnswer: -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.138 and -0.7.\nAnswer: -0.0966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = v, 4*d = -3*v + 17 + 19. Let o = 7 - -17. Calculate the greatest common divisor of v and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32219.2752 rounded to the nearest one hundred?\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -268, 4, -0.5, 9, -0.25.\nAnswer: -268, -0.5, -0.25, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020110102001 (base 3) in base 5?\nAnswer: 420041332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559044324?\nAnswer: 2, 3, 15529009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 + 3 - 3 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 61 = -19 + 48, -3*f = 8*a + 153 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 3*t**2 + 2*t + 2. Let b = -13 + 13. Suppose b = 2*i - 15 + 5. Suppose 2*l - 1 - 17 = -2*j, -10 = -i*j + 2*l. What is u(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -116.3. Which is the second smallest value? (a) -1\/21 (b) -3\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 36 = -30*q. Let t be 288\/(-1008)*-1*(q - 1). Suppose -32\/7 - 16\/7*v**3 + t*v**4 + 30\/7*v**2 + 16\/7*v = 0. What is v?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -3*q. Solve -3*h = 2*o - q, -2*o = h + 3*h - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from {e: 10, o: 3, y: 1, f: 1, m: 5}.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Suppose -3*r - t = -19. Let 3*x**5 - 3 + 3*x**4 + 3*x - 5*x**4 - r*x**3 + 6*x**2 - x**4 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*x - 2*k - 20, 0 = 4*x + 3*k + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -99 + 83 - (-32 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -13*o + 0 - o**2 - 1\/3*o**3. Calculate d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-2))\/(1441\/5240)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(95)\/(sqrt(5)*-1)*-5.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -34. Let t(x) = x**2 + 48*x - 18. Let p be t(6). Calculate the highest common divisor of p and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4793, -7, 24\/7?\nAnswer: -1\/4793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -16 + 55. Suppose -17*t + 8 = -i*t. What is the derivative of 14 + 2*h**2 + 5*h**t + h**2 wrt h?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(396) + sqrt(396) + -2) + 5*(-1 + sqrt(11)) + 3.\nAnswer: -31*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2469 and 98935299.\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f**2. Let c be u(3). Let h = 15 + c. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -11 - (1 - -3) - (-3 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4841096148 to the nearest one million.\nAnswer: 4841000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 7, 5, 2 in decreasing order.\nAnswer: 7, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2639, -5279, -7919?\nAnswer: -10559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*y = -95*y. Solve -30*q + 33*q - 6 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11580516*h*z - 245356231*h with respect to z.\nAnswer: -11580516*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otomooogooooom. Give prob of picking 1 m and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/13121 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -14220081 and -14220085 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 377803407 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1465 - -1938. What are the prime factors of c?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 8*h + 4. Let p be f(8). Suppose 6 - 18 = -p*q. Solve -2*i + q*i + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.07695228?\nAnswer: -0.15390456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3422782 + -937845955\/274. Let a = 6\/137 - l. Let u = 376\/3 - 1162\/9. Calculate the common denominator of u and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607328825 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/10 - 5\/((-125)\/2055).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -4 (c) 0.098 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84651 or 84647?\nAnswer: 84647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/((-624)\/(-32))*(-2)\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -9*y + 63, y + 19*n - 13*n + 5*n - 103 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, v: 3, x: 3, i: 1}. Give prob of sequence vpv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 13*z**2 - 9*z + 15. Let r(i) = 0*i**3 + 4*i**2 - 8 + 5*i + 1 + 3*i**2 + i**3. Let q(f) = 6*o(f) + 11*r(f). Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let v(w) = 346*w**2 - 118*w. Let t(g) = 6*u(g) - v(g). What is the second derivative of t(a) wrt a?\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4208)\/(-184) + (-506)\/22.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.007 + 2.993. Let p(c) = c**3 + c + 2. Let b be p(0). Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 5*h**4 - 2*h**4 - h**4 + (4 + 4 - 3)*(-7 + 7 - 2*h**4).\nAnswer: -8*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1088) + 2 + 3).\nAnswer: 10 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18*(112\/105 + 8\/(-20)). Solve -4*b = r, p + 5*b + 2 + 13 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, -11, 5670?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 + 4. Let q be n(3). Is (-1 + -3)*(q - -1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 - 422. Which is the nearest to 0.2? (a) -0.02 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 306, 0.16, -1, 0.3, 1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -208132335156734 take away -0.4?\nAnswer: -208132335156733.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 - 4*u**2 + 5*u**2)*(4*u - 4*u + 4*u) - 4*u + 4*u - 5*u**3 - u**3 - 2*u**3 - 2 + u**3 to the form x*u**3 + n*u + i + c*u**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-12) + 1\/6)\/(-2). Which is the smallest value? (a) 2 (b) p (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 81. What is the units digit of 11\/(w\/(-608)) - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + -1.2. Let i = 8 + -17. Which is the closest to 2\/5? (a) i (b) -2\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18462996*-3.\nAnswer: -55388988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -123\/4. Let w = 8.1 + -7.1. What is the second smallest value in m, w, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -290 - -295. Solve 0 = 4*o - 9*o - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u**2 + 3*u - 4. Calculate o(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -176, -2321, -8868, -22247, -44888?\n\"Answer: -405*v**3 + 229*v**2 + 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -6, -18, -30, -42, -54?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128194174 is divided by 1056.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, 3, 0, -5, -107 in decreasing order.\nAnswer: 3, 0, -3, -5, -28, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 6*f + 8. Suppose -36*r = -38*r + 12. What is n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (2 - 3 + 2)*(1 - 4 + 4))*(-2 + 2 + i)*(4 + 3 - 1).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*m + 2*g + 24, 3*g = 4*m + 30. Let j(k) = -23*k - 6. Is 33 a factor of j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/10 + 1403*q**3\/10 - 1401*q**2\/10 - 1403*q\/10 + 701\/5 = 0?\nAnswer: -1, 1, 1402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (13 + -11 + -3)) + (60 - 5)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/72*2\/48*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 1)*(d - 2*d + 3*d) + 87*d - 118*d + 79*d + (2*d + 2 - 2)*(-4 - 3 + 6))*(-2*d - 5*d + 5*d) in the form f*d**2 + t*d + u and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000951244 rounded to six dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 602*h + 17 + 16 - 62 + 107*h + 27 in the form n*h + a and give n.\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-16))\/(5\/20))\/(9\/20).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(20)\/sqrt(4)*6)**2 - (1 + sqrt(720) + (sqrt(720) - (0 + sqrt(720)))*3)**2.\nAnswer: -540 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 5. Let p = -3 - 3. Let h(s) = 11*s - 11. Let j be (-2)\/(-7) - (-186)\/(-14). Calculate j*n(t) + p*h(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/24 - 4*l**3\/3 + 2*l**2. Determine q(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14639788*j**3 + j**2 + 1522086*j.\nAnswer: -87838728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/4))**30\/((q**(3\/5)*q)\/(q*q**(-2\/7))))**(12\/11))**(8\/9) assuming q is positive.\nAnswer: q**(7408\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:14 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:25 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*-2 - ((sqrt(18) - sqrt(450)*-1) + sqrt(18)))\/(sqrt(1296)*-1 + sqrt(576)*-5).\nAnswer: 27*sqrt(2)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48010.\nAnswer: 2, 5, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1585733995 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 19b?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4158384*b**2. Let f(g) = -2*g. Calculate i(f(a)).\nAnswer: 16633536*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -37?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:32 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 792, 1587, 2382, 3177?\n\"Answer: 795*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -21*o**2 + 316*o + 1549. Let q(c) = 2*c**2. Calculate b(q(w)).\nAnswer: -84*w**4 + 632*w**2 + 1549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 20 + 3*v - 11*v**2 - 22 - 3*v - v**3. Let j(t) be the third derivative of t**5\/60 + 444*t**2. Give -22*j(w) - 2*p(w).\nAnswer: 2*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/21)\/m*m**(-10)*m**(-2\/7)*m*m*m**(-4\/11) assuming m is positive.\nAnswer: m**(-2207\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -38506) + 15*8\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = -3*d, 2*d + 2*d - 72 = -4*w. Let u = w + 84. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 209 - 469*w + 470*w + 3*w**2 - 247 - w**4 in the form s*w + g*w**4 + a*w**2 + r + f*w**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23300102202311 - -3?\nAnswer: 23300102202320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t**3 - 3 + 0*t**2 + 0*t - t**4 - 4\/5*t**5. Find x such that q(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13555926 to the nearest integer?\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**7\/21 + 2*q**4\/3 + 13*q - 8. Let c(h) be the first derivative of b(h). Find the third derivative of c(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*t - 8. Let f(l) = -l**3 + 6*l**2 + 5. Let o be f(6). Let d be (-6)\/o*35\/(-63)*-3. Put d, 3, t in descending order.\nAnswer: 3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 10\/9. Let f = 5.788 - 5.688. Which is the closest to f? (a) 2\/11 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h - 5*p - 65, -250 = 4*h - 5873*p + 5882*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 71*g**2 + 4*g + 3. Let v = 184 - 156. Calculate the remainder when b(-1) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1020 and -193\/510?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -19. Let d = z + 12. Suppose d*w - w + 4*n = 98, 3*n - 79 = -4*w. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -39. Let l = 67 - o. Let g = -6 + l. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 1*(-1 + sqrt(162)) + -3*sqrt(162)*2 + sqrt(162) + -1)**2.\nAnswer: 792*sqrt(2) + 2713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - 3) - (-6 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let u(b) = -81779*b + 10. What is u(v(n))?\nAnswer: -245337*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c - 3. Suppose v + 3*a - a = -4, 2*a - 20 = -5*v. Let n(o) = o. Determine v*n(i) + x(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15209 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92768914 to the power of 1\/2, to the nearest integer?\nAnswer: 9632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0281 and -4?\nAnswer: 0.1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5 - 1016*n**4 - 136666*n**3 - 1882468*n**2 + 6619368*n - 4599216 = 0?\nAnswer: -246, -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 248758 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 121.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -44. Let q(b) be the third derivative of 2\/195*b**5 - 1\/780*b**6 + 0 - 1\/39*b**4 + 13*b**2 + 0*b**i + 0*b. Factor q(y).\nAnswer: -2*y*(y - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 3*s**2. Let v be f(-3). Suppose -2*d + 18 = -v*d. Find the third derivative of -30*n**6 + 51*n**6 - 34*n**6 + d*n**2 wrt n.\nAnswer: -1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1722*g*j + 56*g + 21 wrt j?\nAnswer: 1722*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.81094 rounded to 2 dps?\nAnswer: -3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 30*d + 4*j - 1062 = 0, -831 = -4*d + 3*j. Does 105 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 328?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7809.43 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, 2\/5, 2\/11, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 20466894.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171695.\nAnswer: 5, 23, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i = -28*i - 3043*g + 3045*g + 50, 4*g = -80 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3667291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.043701058 and 154.\nAnswer: 150.956298942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004132256 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let g be (3\/(-4))\/(y\/(-4)). What is the derivative of 2 + 0*j**4 - g + 2*j**4 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*n + 21. Let w = -268 - -272. Let l(r) = r**3 - 3*r**2 + 2*r - 7. Let d be l(w). Which is the biggest value? (a) n (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 20*a. Calculate l(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 150 + -38?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p = -34*p - 70 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(6 + 0)\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 609*c + 17131. What is k(-28)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q - 2*c, -4*q - c = c - 4. Is 8 a factor of (q\/5)\/((-3)\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = -0*i. Suppose 0 = -i*h - h. Let q be (-3)\/((-24)\/7) + -1. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**8\/112 + 3*l**5\/20 - 16*l**2. What is the third derivative of t(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46959*m**2 + 126210*m**2 - 139*m + 139*m + 89482*m**2.\nAnswer: 168733*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*q**4 - 48030*q**3 - 4442260*q**2 - 2945490*q - 490025 = 0. What is q?\nAnswer: -85, -1\/3, 1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -851.105 rounded to the nearest 10?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -141, 58?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669\/462 at most 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, 2, 2\/5, -4\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 1748*u**4 - 22712*u**3 - 524536*u**2 - 1654604*u + 2200100 = 0.\nAnswer: -449, -7, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = -77901 + 78161 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2))**14)**(3\/16))**(-24) assuming r is positive.\nAnswer: r**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11208, -11216, -11216, -11208, -11192, -11168, -11136?\nAnswer: -11096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 354 = 79*b - 33*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 815393 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgx when three letters picked without replacement from {z: 4, g: 4, e: 3, x: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 20082582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.6 + -0.6. Let j = d - 8. Which is the third biggest value? (a) j (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/3*-1)\/4. Suppose s = k + 5*k - 1320. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29182276, -58364562, -87546872, -116729218, -145911612, -175094066, -204276592?\n\"Answer: -2*u**3 - 29182272*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*q)*(-2*q - 5*q + 0*q) + (3 - 3 - 2)*(-2*q + q**2 + 2*q).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -0.07463016181877.\nAnswer: -0.07463016181877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167773*d + 8892 = 168007*d for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77038 - 27399*s**2 + 38532 + 38506 + 27397*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*b + 36 = 0, -34*b = -29*b - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 1428 = -4*q. Let f = 372 - q. What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:37 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:23 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**3\/3 - 2*s**2 + 3*s. Calculate the remainder when 18 is divided by f(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4) + 2)*10. Let x = -4.58 + 0.58. Put -1\/5, x, 0.2, o in descending order.\nAnswer: o, 0.2, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = 5*i - 26, 0 = -4*i + 16. Solve 0 = -2*t + 4*p - 6, -5*t - u = -5*p + p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:50 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/12 + x**2 - 7*x - 51. Let r(a) be the second derivative of o(a). Let c(m) = 5*m**2. What is c(r(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1059 divide 795298410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 68*r - 51 = 0, -33*a - 35*a - 68 = -64*a + 5*r for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269339, -269349, -269365, -269387, -269415, -269449?\nAnswer: -269489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15967453 is divided by 9365?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2, 3\/2, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -i + 4*g + g, -g - 8 = i. Let s be -43 - (0 + 1 + i). Let x = s + 29. Sort -1, -2, x.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 5*l**4 + 4*l**4 + (3*l - 2*l - 3*l)*(5*l**3 + l**3 - 3*l**3).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.4 + -10.5. Let v = -12 - -11.5. Let i = 619 + -613. What is the nearest to i in c, v, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**3 - 1\/672*a**8 + 1\/24*a**4 + 18*a - 1\/240*a**6 - 1\/40*a**5 + 0 + 1\/140*a**7 + a**2. What is y in q(y) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247287?\nAnswer: 7, 45863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2181468 - -3730525. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 471?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19036130 divided by -2.\nAnswer: 9518065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445366 is divided by 49476?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 9 = -3*m. Let w(q) = 9*q**3 + 4*q**2 - 3*q. Let g(l) = l**2 - l. Let p(i) = m*g(i) + w(i). Let v(a) = -a**2 + 3*a - 3. Let o be v(2). Give p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -23. Let n be (-10)\/25 + (-6)\/f. Let x = -70 + 67. Which is the smallest value? (a) n (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 44 = 6*l + t, 36 = 5*l - t. Suppose -3*q - 4*z - l = -7*q, 0 = -2*z. Suppose 3*s + s = q*o + 46, 56 = 4*s - 4*o. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 21. Suppose q - 6 + 3 = l. Solve 4*k - q*k = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-12))\/((-2194)\/(-8776))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.5 (c) -41.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/12 + 11\/12. Suppose -5*g - 1455 = -330. Let m be (-20)\/g*(-5)\/2. Which is the nearest to 0.2? (a) -3 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1281009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 5*m**2 + 1455*m + 5838. Let v be q(-4). Factor 4 + 1\/3*s**v + 13\/3*s.\nAnswer: (s + 1)*(s + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 183\/125 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15*34*1)\/(1748\/2622)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 43*q + 4. Let w be i(1). Suppose k - 13 = d, 4*k - 4 = 5*d + w. Suppose 10*r + 148 = k*r. What is the remainder when 146 is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/7 - 1152*x\/7 - 1150\/7 = 0.\nAnswer: -575, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 t when three letters picked without replacement from puthjpg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 49101*o**2 + 4*o**3 + 49101*o**2.\nAnswer: 4*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1945*q. Let u(x) be the second derivative of -x**4\/12 + 13*x + 56. Calculate u(a(d)).\nAnswer: -3783025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 617, 314, -691, -2806, -6439?\nAnswer: -11998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 85. Calculate the remainder when z is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13092246 by 6546123.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120230311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 65 = -p - 3*p, 5*p = -5*j - 125. Let c be p\/12*-40*420. What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 + 32*m**2 - 28*m - 479. What is y(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132b091 (base 12) to base 4.\nAnswer: -32132002231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*(-1235)\/(-741)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.92 - 0.1. Let t = -0.02 - z. Let m = t + -3. Which is the closest to m? (a) 0.2 (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 0, 3*k - 2 = -3*g + 1. Let j(n) = n**3 - 18*n**2 - 70*n + 132. Let a be j(21). Sort g, 0, a in ascending order.\nAnswer: a, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 18843*g - 584241. Determine t(31).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j\/(j*j**(-3\/5)\/j)*j*(j*j**0)**(-3\/28))\/((j**(1\/2)\/j)**(2\/17))**(-1\/13) assuming j is positive.\nAnswer: j**(200749\/30940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 368609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 470 + -2351\/5. What is the second smallest value in -0.5, r, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 50*x + 585. What is the lowest common multiple of r(33) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 711 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/4 - v**3\/6 + 46*v**2 + 2*v - 7. What is the derivative of k(p) wrt p?\nAnswer: 15*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31963 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: Solve 2717*k - 2547*k + 14790 = 0 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569.8 - -509. Round q to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619*c - 32*c**3 - 7300*c - 23*c**3 + 53*c**3.\nAnswer: -2*c**3 - 4681*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -336666 divided by -44?\nAnswer: 15303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1906*b + 576*b = -865*b - 391*b + 74760 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721*g + 15245 = 726*g. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381390 divided by 1960?\nAnswer: 38139\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20032*g**2*l**3*z**2 + 18848*g**2*z**2 - 4*g*l**3*z + 6*g*l*z**2 - g*z**2 + 5*g*z - 11*g - 15*l**2 + l*z**2 wrt g.\nAnswer: -40064*l**3*z**2 + 37696*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 15. Let t(u) = -u + 8. Let x be t(6). Solve 2*d - 3*z - x = 0, d - s*z = -3*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-4) - (-2)\/(-8). Let p be (-3)\/o*-2 + 2. Calculate the greatest common factor of 8 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/133 (b) -2 (c) 3\/7 (d) 3 (e) 4 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 12. Suppose -4*f + 4 = -k. Suppose 2*a = 6*a - 5*w - 10, f*a - 19 = -2*w. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116426.\nAnswer: 2, 23, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102) - (sqrt(102) - sqrt(102)*-2*2)))\/(-1*sqrt(6)*-2) + 2*(sqrt(425) + -1) + -5)*-5)**2.\nAnswer: -2975*sqrt(17) + 127725\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 274 = 274. Suppose -11*t - 36*t + 141 = n. Calculate the lowest common multiple of 60 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 8*z + l = -20, -3*z + 52 = 4*l. Suppose -f - z = -5*g, -3*f + 9 = -2*g + 2*f. What is the lowest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**5\/10 + u**4\/6 - u**3\/3 - u**2\/2 - 3*u. Let r(t) = 6*t**3 - 6*t**2 + 7*t + 3. What is 7*o(f) + 2*r(f)?\nAnswer: -2*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnwwcwncwcpcccncccwc. Give prob of sequence nn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 74.\nAnswer: -32\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in -1.6298, 2\/15, 2, -5, 0.2, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -18*y**2. Let a(g) = -53*g**2 + 29643*g. Determine a(b(z)).\nAnswer: -17172*z**4 - 533574*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -249628808 divided by -143?\nAnswer: 1745656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 7*x + 8. Let g be 1*(4 - (1 + -3)). Let i be a(g). Solve i*v + 3*v = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 158 in 0.07, -1\/5, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*1)\/(6\/(-24)). Let n be 6\/(-4) + 84\/z. Suppose 173 = 5*b + 38. Calculate the highest common factor of n and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h + 101. Let f be i(9). Suppose -m + u + 126 = -f, -3 = u. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * -19.\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h - 9*h**2 - 3*h**3 + 0*h**3 + 2*h**3 - 5 - 4*h. Is b(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4531, 18106, 40697, 72280, 112831, 162326, 220741?\nAnswer: 288052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.19 + -0.02.\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 28 in ascending order.\nAnswer: 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q + 2*q + 2*q + (4 - 1 - 4)*(-16*q - 85*q - 26*q) + (3*q + 0*q - q)*(4 - 5 + 3).\nAnswer: 129*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 475 - 667. Calculate the common denominator of ((-9)\/(-42))\/((-3)\/25) and 3\/y*4\/3*110.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-2*q + 7*q - 3*q)*(2 - 2 - 5) + 4*q - q - q)*(-5 + 3 + 35) + (-q + 6*q - 3*q)*(0 - 3 + 5))*(-3*q**3 + 3*q**3 - 2*q**4).\nAnswer: 520*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -1 (c) 9\/16 (d) -3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 81 = -5*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/7 - 27756*s**2\/7 + 110998*s\/7 - 11892 = 0. Calculate s.\nAnswer: 1, 3, 13874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**5 - 44*m**3*o**2 - m**2*o**2 - 3*m*o + 47*o**2 wrt m?\nAnswer: -240*m**2 - 264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -23 + 26 - (-42)\/1. Calculate the common denominator of 238\/(-12)*f\/350 and 7\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 33 - (1 + 14)) + -38 + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 741\/41017?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-45)\/30)\/(1\/(-222)). Suppose -g + 4*g = c. Calculate the greatest common factor of 37 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2608 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrbb. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 191 (b) 5 (c) 7 (d) 3\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3075*a + 68*a**2 - 64*a**2 + 3078*a + 3082*a - 9235*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.9992 rounded to the nearest integer?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3012 + -23310312?\nAnswer: -23301300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k + 11 - 59 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q + 101806 = 16206 - 16970. What are the prime factors of q?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308540 + 317375 = 95*m for m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 18174*v + 10259*v - 7*v**2 + 4*v**2 in the form m*v + i + r*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 87.54. Round q to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -33*m**3 - 433*m**2 + 106*m + 2065. What is g(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721041 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52840398?\nAnswer: 2, 3, 13, 677441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from paapapdapdad. What is prob of sequence pdpa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**3 - 1461*o + 2 - 3*o**4 + 1463*o + 0 to the form g*o**3 + i*o + l*o**2 + b*o**4 + m and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:27 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0\/q)\/q)**38)**16 assuming q is positive.\nAnswer: q**(-1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61876 - 61876 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*f + 12*f - 27*f - 269*f.\nAnswer: -484*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 2, -8, -32, -76, -146, -248?\n\"Answer: -n**3 + 2*n**2 - n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 2163?\nAnswer: 2163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = -m + 5*d, -d = -m. Solve 0*o = -m*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/614 - -207541\/1842. Let a = h - 114. Sort 3, a, -1\/7 in increasing order.\nAnswer: a, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*v + 71, -17*h + 20*h = -3*v + 102. Calculate the greatest common factor of 2240 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o - 2*b, -46 = 2*o - 4*b - 60. Let f(v) = -2*v + 2*v**2 - 4*v - v**3 + 7 + 4*v**2. What is f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -534.35?\nAnswer: 2671.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 + 16*m - 46. Let i be d(6). Let s be ((1 - 0)*(-52)\/i)\/(-46). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 0\/5) + -1. Let a be (-1)\/4*(0 + b). Let u be (1\/(-7) + a)\/(4\/196). Is 41 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -25. Suppose 7 + 5 = z*s. Suppose -2*f + 4 - s = 0. Which is bigger: f or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/13)\/z)*z**11)**(-2\/9) assuming z is positive.\nAnswer: z**(-38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*7\/3 - 574\/84. Let s be (-3)\/(-3) - (-11)\/(-9). What is the closest to v in -2, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-19)\/(m\/((m*m**(-8\/3)*m)\/m*m)) assuming m is positive.\nAnswer: m**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1298, -1299, -1300?\n\"Answer: -z - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 8. Let a = -4 + y. Let i = 30 - 28. What is the nearest to a in 3\/4, i, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/78 - 4\/26?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 757284 or 757327?\nAnswer: 757327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 - 1. Let r(u) = 6*u**3 - 11*u**2 - u - 6. Let d(a) = -5*n(a) + r(a). Let b = 30 - 23. Calculate d(b).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, 1.6 in descending order.\nAnswer: 1.6, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19385 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15541 - 14605. What is the greatest common divisor of 3588 and y?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10939 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 + 311. What is the remainder when 115 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3918330 divided by -34\nAnswer: 115245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0, 0.13, -723, -2, 1\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 507\/5 or 101?\nAnswer: 507\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728109 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*t - 27 = 0, 0*f - 3*f - 1539 = -96*t. Let n(u) = -u + 8. Let d be n(6). Sort 0, 5, f, d in descending order.\nAnswer: 5, d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814 = -622*w + 16224 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*w + 5*b, -3*w + 39 = -5*b + 12. Let p(v) = -2*v**2 - 2*v + 4. Let g be p(-4). What is the remainder when g*(0 - 1\/2) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/21)\/t)\/t)\/(((t**39*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-838\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 72 + 21. Suppose 21 = -10*g + p*g. Put g, 19, -1 in descending order.\nAnswer: 19, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.72 + 3.22. Which is the second smallest value? (a) -5 (b) 0.4 (c) 0.02 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5430 and 112220?\nAnswer: 336660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/45? (a) -0.1 (b) -5 (c) 4.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-4)*4*(3 - 2). Solve 5*v - 5*u = -q, -4*v + u + 4*u - 14 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-319*n - 256 + 128 + 128) in the form t*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1807 + -1240. Suppose -3*m - 6*m = -t. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - l = 51, -12 - 21 - 78 = -6*z + 5*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is e8065 (base 15) in base 11?\nAnswer: 462940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101522 and 414?\nAnswer: 913698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 152\/(-19) - 52\/(-4). Solve 3*v + 2*x - f*x = 21, 0 = -5*v - 2*x + 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11337 - -226669\/20. What is the common denominator of s and ((-2)\/12)\/(30\/423)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*b**2)*(-12614 + 12614 - 19*b) - 47 + 150*b**3 + 47 + 170*b**3.\nAnswer: 358*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1028 or 149293?\nAnswer: 1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 - 457*w + 456. Let s be c(1). Factor 3\/2*j**s + 0*j - 15\/2*j**2 + 0.\nAnswer: 3*j**2*(j - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30260 divided by -4?\nAnswer: 7565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.7. Let m = -1 - 0. What is the second biggest value in u, -1\/3, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1))\/r**(-2\/7)*(r*(r\/r**1)\/r)\/(r*r\/(r**(-1\/5)\/r)*r*r)*(r**4*r**(2\/13)\/r)**8 assuming r is positive.\nAnswer: r**(10154\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -85. Suppose 0 = b - h - 15, 5*b - 3*b = 4*h + 28. Let n = b - 8. Solve 4*o + 4*p = n, d*o - p - 4 = -3*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 4215?\nAnswer: 4215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-seven quarters of a microsecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*r**3 + 80*h**2*r*x + 2*h**2*x**2 - h*r**3 + 9*r**3*x - 2*r**2*x**2 wrt h?\nAnswer: -2*r**3 + 160*r*x + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1329 divided by 3.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 2*d**2 - 759970*d**3 + 759778*d**3 + 2*d**2.\nAnswer: -192*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 50 = 3*d. Let x(p) = p - 11. Let l be x(d). Which is greater: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -238, -438, -638, -838, -1038, -1238?\n\"Answer: -200*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d**4)*(d - 2*d + 2*d) + 21415*d**4 - 21415*d**4 - 193*d**5 + 3*d**5 - 3*d**2 + 3*d**2.\nAnswer: -189*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 54*p + 10356 = 0. What are the prime factors of p?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114164 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52477*m - 36 = 52473*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -56, -225, -556, -1103, -1920, -3061, -4580?\n\"Answer: -9*d**3 + 2*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19547?\nAnswer: 11, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 11*x + 21*x)*(2*x - x - 3*x) + 7*x - 7*x + 7*x**2 + 3 + 2*x**2 - 3.\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496 and 434.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*h + 4*y, -2*h + y + 3 = 1. Let s = 631 - 623. Solve t = -z + 4*t + 2, 5*z + h*t = -s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1855.4973 microseconds to minutes.\nAnswer: 0.000030924955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (38 - (-13 + 38))*(-1)\/13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12371 + 12368. What is the third biggest value in z, 3, 0, -3\/7, -11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.0389mg to tonnes.\nAnswer: 0.0000002120389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwht when four letters picked without replacement from hbzhhjzzhthhtwt.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - b = n - 1, 4*n + 3*b = 23. Calculate the remainder when 11 is divided by (-14)\/3*(-3)\/n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29\/(-9) - -1 - (-46)\/207. Suppose 4*j + 10 = 6*j. Suppose 0 = b - 3*f + 4, -j*f + 12 - 4 = -b. What is the smallest value in -3, b, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0*(-2)\/(-10). Let b be 29\/(-6) + (-3)\/18. Let m = j + b. Which is greater: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 3, d: 1, c: 1, l: 1}. Give prob of picking 1 d and 2 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 8) to base 9\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 4*k**2 + 7*k - 2. Calculate s(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010042 (base 5) to base 2.\nAnswer: 111110010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313405220 (base 6) in base 5?\nAnswer: 2401203040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 101*j + 699. Determine l(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3*6)\/((-15)\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5279, 43614, 147651, 350240, 684231, 1182474, 1877819, 2803116?\nAnswer: 3991215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 1\/3*w**3 + 2*w + 1\/12*w**4 + 1\/2*w**2 + 0. Let h be t(-2). Solve -h = g - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -343 + 346. Let g(j) = -k*j**3 - j**3 + 4*j**2 - 1 - 16*j + 5*j**3 + 20*j. Suppose -2 + 17 = -5*s. Calculate g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(363) - (-1*sqrt(363) + sqrt(363) + 0)) + sqrt(363) + 4 + ((-1 + sqrt(36)\/sqrt(3))**2 - sqrt(12)) + (-2*sqrt(432))\/sqrt(9).\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-114) - (-7468997)\/1020243?\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -734 and -27.0044.\nAnswer: 19821.2296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 5. Let o(g) = 2*g**2. Let j(k) = 2*k**2. Let z(m) = -3*j(m) + 4*o(m). Calculate p(z(f)).\nAnswer: -2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, n: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64040 by -12808.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-9) - (-4)\/(-18). Let p(o) be the first derivative of 0*o - 8 + o + o**c + 3*o + 15. Find the first derivative of p(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/12 - 103307*u**2\/12 + 2669168455*u\/12 - 18668996143\/4 = 0.\nAnswer: 21, 51643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + w - 2. Let o(s) = 2*s**3 + 6*s**2 - 2*s + 4. What is 2*o(a) + 5*v(a)?\nAnswer: -a**3 - 3*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20399340 divided by -3?\nAnswer: 6799780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 - 318255*u**4 + 4136675*u**3 - 13046025*u**2 + 14955020*u - 5727420 = 0. Calculate u.\nAnswer: 1, 2, 9, 63638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q. Let r(o) = o. Let x(a) = -5*l(a) - 4*r(a). Let z = -16 - -17. Let g(i) = -i + 0*i - z + 1. Calculate x(g(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (329 - 315)*(-16)\/(-1736)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18563 - -20481. What are the prime factors of h?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2 + 2)*(-1 + 2 + 1 + (-3 - 2 + 6)*(-10 - 9 + 5) + 2 - 1 - 3 + 0 - 4 - 2) + (3 - 4 + 2)*(-t + 2*t - 3*t) in the form l*t + m and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-163)\/(-11) - 4\/(-22). Suppose -2*k = 3*k - y. Find the common denominator of (-93)\/6 - k\/(-12) and -111\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.3 + -0.7. Let j(s) = s**2 - 6*s + 3. Let r be j(5). Let d be (3\/4)\/((-3)\/r). Which is the third biggest value? (a) y (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4, 3*o - 17*g - 55 = -12*g. Suppose -o = 34*h - 39*h. Let x be (8\/(-2) - -3)*(1 - h). Solve -2*m - x = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24160.43*2\nAnswer: -48320.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, c: 9}. What is prob of picking 1 h and 3 c?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7359038cm?\nAnswer: 0.000007359038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15935480*w**4 + 3322310.\nAnswer: -63741920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 487, -2, 4 in descending order.\nAnswer: 487, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2494867 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-15)*(15 - 12)*(5 + 95). What is the greatest common factor of l and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011867 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 18012*l = 18011*l, 0*j - 5*j = 7*l + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 106. Let i(f) = -16786*f**2. Give s(i(k)).\nAnswer: -50358*k**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - 0) - 3) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 14*z**2 + 7*z - 7. Let p(m) = -13*m**2 - 6*m + 6. Suppose -181*g + 176*g = 2*x - 32, 4*x + 4*g = 40. Give x*c(v) + 7*p(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5125013*c**2 + 6727*c. Let r(b) = -3809*b**2 + 5*b. Calculate 5*j(m) - 6727*r(m).\nAnswer: -1922*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166348 + -13429?\nAnswer: 152919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-12) - (-2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 20*v - 4. Let t be u(2). Let j = 45 - t. Suppose d - 20 = j. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*y = -2880. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/9 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241088, 1241086, 1241084, 1241082, 1241080?\nAnswer: 1241078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1408656529 or 0?\nAnswer: 2\/1408656529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-3))\/(h*h*h\/(h\/(h\/(h\/(h\/h**(-13)*h))))))**(-2\/35))**(2\/33) assuming h is positive.\nAnswer: h**(76\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181952717.\nAnswer: 17, 37, 289273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, -0.01, -2.\nAnswer: -6, -2, -0.01, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -0*n - 4*n, 4*k = -n + 7. Let p be (-32)\/80 + (-3)\/5. Let w = k - p. Solve 0 = -w*z + 3 - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10965637 is divided by 1935?\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + sqrt(18) - sqrt(2))**2 + 3) + (-3 + 6*sqrt(12)\/sqrt(6))*-3 + -5.\nAnswer: -42*sqrt(2) - 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -136 (b) 0.12 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmngmngmg. Give prob of sequence mgm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.6604388 + 20.66. What is i rounded to five dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 42. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66762755, 133525509, 200288263, 267051017?\n\"Answer: 66762754*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172161573 is divided by 436.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -177690\nAnswer: -31\/177690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527582.\nAnswer: 2, 11, 23981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.22 - -63.21. Let s = z - -0.01. Let x = -28 + s. Which is greater: -2\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67\/1675)\/(1\/(40\/(-4))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 131330, 131103, 130724, 130193, 129510, 128675, 127688?\n\"Answer: -76*c**2 + c + 131405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -504*y + 592*y + 792 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2551204.1810609 - -2551204. Let x = 0.181 + k. Round x to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36713 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b**4\/7 - 1608*b**3\/7 - 12060*b**2\/7 + 50112*b\/7 = 0 for b.\nAnswer: -48\/5, 0, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(425) + (sqrt(425) - (-2*sqrt(425)*-5)**2) - (sqrt(425) + (-3*sqrt(425)*-5)**2))*6.\nAnswer: -828745 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54062, -54059, -54052, -54041, -54026, -54007, -53984?\nAnswer: -53957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 43*r - 7. Calculate m(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millimeter in micrometers?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 54*t - 5*t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-10) - 7)\/(9\/(-6)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4404*r**4 + 7*r**2 + 854*r wrt r.\nAnswer: -105696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzav when four letters picked without replacement from mggavazazmaagwmavvgv?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-10)\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 38. Suppose -55 = b*x - 205. Let w = 15 + -9. What is the greatest common divisor of x and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 59, 102, 155, 218?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22339 + 2179. List the prime factors of a.\nAnswer: 2, 13, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.4 (b) 2\/13 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -427*x + 7. Let y be h(5). Is 12\/(-54) - y\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 72*i**2 - 324*i.\nAnswer: -4*i*(i + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 65. Suppose 19 = p + 5*f + 2, 2*p = -5*f + j. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 176*i - 44. Let t be v(25). Is t\/8 + 8\/(-16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295212 is divided by 98174?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 136746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9\/(-3) - 236\/(-30)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y**2 - 34*y**2 + 20*y + 49*y**2 - 20*y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 5:01 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2877\/822*72\/(-231).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*w + 51*r**2*w - 2*r*w - r + 36*w wrt r?\nAnswer: 12*r*w + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 16*q - 15*q - 423, 2*q + 14 = 0. Suppose -3*a = 3*b - 72, 7*a - 3*a + 2*b - 106 = 0. Calculate the remainder when h is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21389 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -r - 1573 + 1564, 40*s - 2*r - 208 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*c - 2144, 1061 = -3*c - 2*l + 2668. What are the prime factors of c?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - 1.24. Let c = 1.3 + l. Sort 0.1, -1.8, c.\nAnswer: -1.8, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + h**3 - 10*h**2 + 1956 - 11*h**2 - 953 - 18*h**2 - 926. Give a(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0) + (-28 + 3 - -41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 + 6*r**3 - 3*r**3 + 4*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -1544, -2315?\nAnswer: -3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*a + 24*a - 240. Let k(r) be the first derivative of -2*r - 2 - 1\/2*r**2 - 1\/3*r**a. Let u(x) = -x**2. Give -k(w) - u(w).\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3707 divided by -6\nAnswer: -3707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 2 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + 0 + 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9254 or -9322?\nAnswer: -9322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59\/4 of a millisecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -2\/43 (b) -1\/4 (c) 0.0743 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 30296939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 38. Suppose -3*g + 45 - a = 0. What is the remainder when 68 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 77\/4) + 7\/28 + 0\/4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14803723 + -16.434\nAnswer: 14803706.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (((2 + sqrt(396) - sqrt(11)) + sqrt(11))**2 - sqrt(11))).\nAnswer: 46*sqrt(11) + 794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*q + 44 = 0, 3*h - 39 = -q - 2*q. Suppose -i - 3*i = -h. Suppose -4*g + 32 = -2*d, -26 = -3*g - 0*g + i*d. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6352 + 15794. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -471, -940, -1409, -1878, -2347?\n\"Answer: -469*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9568839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37807)\/(-132) + (-50)\/(-60). Is 286 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5 + 5\/8*g**4 - 5\/4*g**2 - g + 3\/2*g**3 - 7\/10*g**5. Solve q(w) = 0 for w.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2578\/5 - 10317\/20. Let w = 43\/78 - 2\/39. Which is the closest to y? (a) 0.3 (b) w (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 - g - 1. Let c be k(0). Let u = c + 1. Let z = 11525 - 11523. Solve u = -5*o + z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 235*j + 6 + 9 as z*j + c and give z.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:42 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q - 17. Let v be h(2). Let x(f) = -f - 177*f**3 - 168*f**3 + 346*f**v. Give x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 0. Let g = -39.55 - -39.45. Which is bigger: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**4 + 18*g**3 + 12*g**2 + 5*g - 3. Let v(w) = -65*w**4 - 145*w**3 - 95*w**2 - 40*w + 25. Let n(x) = -25*o(x) - 3*v(x). What is f in n(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2 + 5*o - 5. Let u(j) = -39*j**2 + 24*j - 24. Let x be 28\/35 + 1\/5. Suppose 6 = 2*q - 4*v, -1 - x = -2*v. Calculate q*u(d) - 24*p(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 5 (c) -3 (d) -5347\/17 (e) 1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1513306160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166357*s - 166218*s = 17792 for s.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.7931.\nAnswer: 0.039655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 12. Let o be m(-11). Let b = o + 6. Find d, given that 2 - 4*d**3 - b*d**2 + 12*d + 12*d**3 + 23*d**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 78*w**2 - 20*w**2 - 5*w**2.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 26496332?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2693673 or 2693707?\nAnswer: 2693673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (241934979\/(-126))\/(-11) + -1 + 1. Let z = a + -174584. Let l = -16\/21 + z. Find the common denominator of -51\/26 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1599.4 - 1599. Put x, -5\/4, 17.4 in descending order.\nAnswer: 17.4, x, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrrlxrrzllfxlrfr. Give prob of picking 1 l, 1 r, and 1 f.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -18. Suppose 0*q - 2*q + 102 = n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 7*l + 0.\nAnswer: 7*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.1. Suppose 4*f = -15 + 3, 3*f + 9 = 4*a. Let y be 30\/(-20) + (a - -2). Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 4*s**2 - s - 4. Suppose -17 = 4*r + v, -4*r + 0*v - 5*v = 21. Let n be h(r). Let b be (2 - 2)\/(2 + 1) + n. Solve b = -c - 3 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144293*n - 12382 = -143991*n for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 24. Suppose 5*g - z*v = -6*v + 16, -12 = g - 3*v. Let r(h) = -h**2 + 18*h - 13. Let f be r(16). Put 5, g, f in decreasing order.\nAnswer: f, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7595 and -3.\nAnswer: -22785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 7*w**2 + 398*w - 2*w**2 + 1925*w - 2323*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1557 and 2941.\nAnswer: 26469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16615620 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21321152 (base 7) in base 10?\nAnswer: 1820387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/79 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuldl. Give prob of sequence ullu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 2052 + 9*m**2 + 11*m**2.\nAnswer: 36*m**2 - 2052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17817299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**5 + v**3 - 2*v**2 + 3. Let y(r) = -1259*r**5 + 2*r**3 - 387*r**2 + 6. Let p(x) = -2*s(x) + y(x). Find the third derivative of p(d) wrt d.\nAnswer: -75420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 27*j**2 - 300*j + 2700 = 0 for j.\nAnswer: -10, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -10 + 16 + -14 - (-97 - 3).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 8880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1498 - 872. Let j = g + -283. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/4 and -59\/10142271?\nAnswer: 40569084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3000116 + -5.3. What is r rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*t - 0 - 6, 5*t + 21 = 3*v. Suppose 2*i = -8*i + 40. Factor v*d**2 + d + 5*d - i*d.\nAnswer: 2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131415 (base 8) in base 14?\nAnswer: -129c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 11*l + 9. What is t(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 6) to base 7.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59501?\nAnswer: 13, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258394 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Suppose 229*n - 40 = 221*n. Let f(z) be the third derivative of 0*z**3 + 7*z**2 + 0*z + 0*z**4 + 0 + 4\/15*z**n. Give f(d(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*q**3*v - q**3*w**2 - 19*q**3 + q**2*v*w**2 + q*v + 2*q*w wrt v.\nAnswer: 19*q**3 + q**2*w**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-16)*144\/504\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 5143?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*6\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 500 = -4*o. Let r = -24 + o. Suppose -3*c + r = 4*y, 4*y + 5*c - 20 = 79. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 2\/5, -3, -2.4 in decreasing order.\nAnswer: 2\/5, -0.3, -2, -2.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 110*d**2 + 355*d - 1190 = 0.\nAnswer: -17, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 o, and 1 g when three letters picked without replacement from noooooogunonnogoo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 576004\/5 - (105\/(-25) - -4). Let d be h\/3 + -1*2\/6. Round d to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/(i\/(i**4\/i))*i*i\/(i\/(i**(2\/23)*i))*i**6 assuming i is positive.\nAnswer: i**(186\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401245 is divided by 14852.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14a0a - 1?\nAnswer: -14a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*q - 159420, -35*y + 33*y + q = -63765. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -0.3, -2, -3, 3, 5.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:30 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:47 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2415*q + 3068*q - 16137 - 39368 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1679, -3362, -5053, -6752, -8459?\nAnswer: -10174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 200*j - 193*j - 28. Solve -3*a + 5*k - 6 = j, 3*k = 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644 at most as big as 4562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 11. Let p be f(-5). List the prime factors of (-9)\/6*8\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21109 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 4*s. Suppose 4*k - 2*k + s*n - 11 = 0, 3*k - 6 = -n. Let m(i) = i**2 - 1. Let a(f) = -12*f**2 + 8. What is k*a(g) + 8*m(g)?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5687764 litres?\nAnswer: 568.7764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1296, 5317, 12020, 21405, 33472, 48221, 65652?\nAnswer: 85765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2383, -2379, -2375, -2371?\n\"Answer: 4*s - 2387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4641, -5372, -6117, -6882, -7673?\n\"Answer: -c**3 - c**2 - 721*c - 3918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2. Let t(g) = -2455837*g + 10. What is t(f(w))?\nAnswer: -4911674*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139268, -139271, -139276, -139283, -139292?\nAnswer: -139303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (655\/(-20))\/((-12925)\/94) and -107\/770.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfffhfdfffffffhdfhh. Give prob of sequence hfh.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 5*g - 15. Calculate the remainder when a(12) is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = u - 434, 0 = u - 4*r - 419 - 21. Suppose -430*x + u*x + 11760000 = 0. Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 g when four letters picked without replacement from {g: 2, v: 3, y: 1, a: 1, o: 9, r: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43.932 - -44. Let w = s + 0.032. Is w at least 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31013 - 3041?\nAnswer: -34104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461781 less than 1461781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6)*h*h**0\/h)\/((h*h\/(h\/(h*h**2))*h)\/h**(-1\/2))*(h*(h\/(h*h*h**(-1\/4)))\/h)**(41\/2)\/(h\/(h*(h\/(h*h**(-1)*h)*h)\/h))**23 assuming h is positive.\nAnswer: h**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -930*s - 502*s**2 - 932*s + 1862*s to the form d*s**2 + p + r*s and give d.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + 2 + sqrt(6)\/(sqrt(14)\/sqrt(7)).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10090 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**(-21))**(-8\/9)*((z**(3\/4))**24)**(-50) assuming z is positive.\nAnswer: z**(-2686\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*p**2 - 153*p**2 + 806*p**2 - 207*p**2 - 1038*p**5 + 1077*p**2 - 2*p wrt p.\nAnswer: -62280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/5 + 5*s**4\/8 - s**3\/2 - s**2\/4 - s - 19. Factor k(l).\nAnswer: -(l - 1)**2*(8*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -541540000 to the nearest 1000000.\nAnswer: -542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43600 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 56*g**2 - 2*g. Let n be (1\/2*(68 + -66))\/(-1). What is h(n)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*u**5 + 2*u**4 + u**2 + 271*u.\nAnswer: -10560*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47716 is divided by 476?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 9461656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 15*s**2 + 2*s + 13. Suppose 0 = -2*b + 21 + 9. Let r be y(b). Suppose -3*w = -182 - r. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 + -226 - (-10 + 0) - (-11 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 m when three letters picked without replacement from mmmhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44409, 88832, 133269, 177720?\nAnswer: 222185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h = 0. Suppose 5*l - 15 - 15 = h. Suppose 150*a = 353 - 53. Calculate the greatest common factor of a and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m + 8*m - 9*m + 26*m.\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - 0.81. Let c = d - -73.75. Let f = 73.0074 - c. What is f rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - 30 = 0. Suppose u - 4*u + b = 0. What is the remainder when (-1 - 0) + u - -3 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 112*p**2 - 2. Let g(z) = -112*z**2 - z + 1. Let b(h) = -5*g(h) - 4*r(h). What is the units digit of b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532065185 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -296, -289, -290, -299?\n\"Answer: -4*b**2 + 19*b - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 2*w**2 - 7*w + 3*w**2 - 824.\nAnswer: 2*w**2 - 7*w - 824","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*r**3 - 195*r**3 + 483*r**3 - 112*r**3.\nAnswer: 672*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9920 + 10501. Calculate the greatest common divisor of n and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 at most -2205\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1682*s = 19933 + 6979 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*k + 16, -2*n + 18 = n + 4*k. Let i = -1443 - -1445. Suppose -6*q + 178 = i*u - n*q, 2*q = 2. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 12\/5. Let g be (1\/2)\/((-10)\/(-8)). Determine d so that -6\/5*d**2 - s*d**3 - 6\/5*d - g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -943174\/7 + 135032. Let v = z - 5695\/21. Find the common denominator of 21\/8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -888378 divided by 1\nAnswer: -888378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let i be x(0). Suppose 2*f = -i*f - 32. Is (62\/(-4))\/(4\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 1037*v**2 + 1003*v**2 + 2*v - 2109*v**2 in the form d + o*v + x*v**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 1, j: 1, g: 1, q: 2, t: 1}. Give prob of sequence qco.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 12*t - 8. Let i be w(-9). Let m = 51 - i. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**3\/3 - 11*z**2\/2 - 136*z. Let p(b) = -2*b - 14. Let j(k) = -2*p(k) + 3*v(k). Let n = -14 - -7. What is j(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*a + 38 = 5*n, -3*a = -9. Suppose -6 = -11*o + 10*o. Calculate the remainder when n is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -31. Suppose -4*y - 1425 = -c + 558, -4*c = -n*y - 7867. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27797149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88) - sqrt(88))\/(sqrt(66)\/sqrt(54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*o, 4*o - 2*v + 7*v = 14. What is the lowest common multiple of o and 5*(1*(-4 - -5))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7903.55ml to litres.\nAnswer: 7.90355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**5\/60 + 2*x**4\/3 - 13*x**3\/3 - 223*x**2. Determine y(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k. Let p(j) = -3*j + 4. Let x(s) = 7*s - 10. Let g(n) = -10*p(n) - 4*x(n). What is -10*g(t) + 4*y(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30687 (b) 680 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257 + -101. Suppose 151*c - f*c + 9465 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 32. What is the nearest to 0 in q, -7, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 94\/(-235) + (-56)\/10. Is (-1679)\/k - (-1)\/6 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 12*w**2 + 11*w + 2. Let a be r(-11). Find the third derivative of 10*c**5 + a*c**2 + 6*c**5 - 10*c**5 wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27721110 and -10.2.\nAnswer: 27721099.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*o - 2*z, 2*o + 0*z = 3*z + 48. What is the highest common divisor of o and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 0*v**4 - 2*v**4 - 246*v + 40*v**4 - 2*v**3 + 246*v + (-3*v**3 + 5*v**2 - 5*v**2)*(1 + 2*v - 1).\nAnswer: 32*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q = 2*z + 2*z - 48*q - 48, 31*z - 140 = -q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + 46) - (2 + (-5 - (15 - 7))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728822055?\nAnswer: 3, 5, 13, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -221346\nAnswer: 28774.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*i**2 - 142*i**2 - 547 + 2*i + 596 in the form q*i + p*i**2 + z and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/3 - 338*x**4 - 252962*x**3\/3 + 2071604*x**2\/3 - 1476279*x + 2611210\/3 = 0. Calculate x.\nAnswer: -511, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 186 - 506 = -24*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 2. Let a be o(-3). Let f = -3 + 0. Let q = a + f. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azgxzx. What is prob of picking 2 a and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) -2\/5 (c) 2\/11 (d) 0.2 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101425.\nAnswer: 5, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -170 - -170 - (21 - -6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 123*w + 1335. What is a(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75463 (base 9) in base 15?\nAnswer: ec03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/4)\/5)\/(565\/5650)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -11 + (16 - 12) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 0.02.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 1 - 1)*((2 - 2 - 1)*(-5 + 3 + 1) - 7 + 8 + 8)*(5 - 1 - 1).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 - 7*i + 29. What is the hundreds digit of h(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-5))\/((-3285)\/10950)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 18. Suppose -s + i*s = 388. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907467.\nAnswer: 3, 11, 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 4 + 3*t - 2*t**3 - 3. Let o be r(-1). Calculate the highest common divisor of 15 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/4 + 4 - -4. Let a = u + -13. What is the remainder when 39 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + -7.35\nAnswer: -7.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(931) + 3 + 3.\nAnswer: 11 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -76) + -137 + 111.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:52 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60689589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 2579, 1\/6?\nAnswer: 2579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (0 - -28) + -9 + -9 - (-2 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -181896 minus -0.405132?\nAnswer: -181895.594868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r - 14. Suppose -d = -45*d - 312 + 4. Calculate h(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 9 = 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -9*i + i. What is the tens digit of (-18)\/18 - (i + -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.03*-0.5\nAnswer: -2.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 104. Suppose 13 - 1 = b*u, -67 = -m + u. Let c = m + -53. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.07, -0.2, -1, -9, 9693?\nAnswer: 9693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35001609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - 12)\/(1 - 0). Let k = 20 + g. Is k + (87 - 0\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 4*h**2 + 189*h**3 - 66*h**3.\nAnswer: 123*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 149643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4413360 and 59\/26640?\nAnswer: 13240080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - n + 2. Let l(a) = a**2 - 7*a + 5. Let f be l(6). Let t be f*-3*(-2 + 1). Let s be w(t). Solve -5*i + s = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3842335 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -1\/4, -1.\nAnswer: -4, -1, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 21*o + 24. Let z be i(-20). Let r(a) = 5*a**2 - a - 1. List the prime factors of r(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottooqqtotdtvodtttd. What is prob of sequence ot?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**3 - 55\/6*a**4 + 0*a**2 + 0*a**5 + 14\/15*a**6 + 1\/14*a**7 + 0 + 56*a. Find the third derivative of y(h) wrt h.\nAnswer: 180*h**2 + 672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/8*14*1078\/11. Suppose -35*o = -30*o - b. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + 2*sqrt(1296) - (-2*(sqrt(108)\/sqrt(3) + sqrt(36)) - sqrt(36)))\/(sqrt(12) - (sqrt(1452)*1 - sqrt(12) - sqrt(12)) - 2*sqrt(972)).\nAnswer: -9*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac - 2b?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**3\/6 - v. Suppose y - 4*c + 2 = 0, 0 = -0*y - 2*y - 4*c - 16. Let u be i(y). Solve 3*n = -u + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dfc (base 16) in base 3?\nAnswer: 11220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24808229 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x. Let r(w) = -5*w**2 - 2*w - 1. Give 2*b(j) - r(j).\nAnswer: 7*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181871 is divided by 30267?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/688001 and 16\/19063.\nAnswer: 7568011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) + (-4)\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 9. Suppose -5*q - 7 + 32 = 0. Let o(c) = -c**2 + 9. Let k(s) = q*z(s) - 6*o(s). Let y(b) be the first derivative of k(b). What is y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d09b (base 16) in base 7?\nAnswer: 311460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:56 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 + 170. Suppose -4*j = 2*t - 360, -n*t + 3*j + 765 = 2*j. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 164, 167, 170, 173, 176?\n\"Answer: 3*g + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*v - 162, 8*z + 2*v = 3*z + 198. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1719.200012091 - -1719.2. Round t to 7 dps.\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhcoovcoovovvujou. Give prob of picking 1 c, 1 v, 1 j, and 1 o.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1656)\/(-736))\/(1\/(-4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 33*y**5 - 5*y**3 + 61*y. Let x(q) = 16*q**5 - 2*q**3 + 30*q. Let j(i) = 2*g(i) - 5*x(i). What is the second derivative of j(l) wrt l?\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 48*i**2 + 95*i - 248. Calculate y(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -99*o + 5646. Let s be t(57). What is z in 2\/3*z**2 + 8\/15 + 2\/15*z**s + 16\/15*z = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5253*a**4 - 775*a**2 - 55*a + 407179.\nAnswer: -63036*a**2 - 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -253 (c) 1 (d) -0.02 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.513 times 142?\nAnswer: -72.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 - d**4\/3 - d**3\/2 - 3*d**2\/2 + 95*d - 2. What is the remainder when 17 is divided by b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -708.3 - -707. Let s = -5.3 - y. Suppose 9 = 2*o + o. Which is the closest to 0.01? (a) 1 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 4, x: 1, w: 1, n: 1, v: 8}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3419934?\nAnswer: 2, 3, 7, 107, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1605, -1606, -1617, -1644, -1693, -1770, -1881?\nAnswer: -2032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -558\/2459 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fe + 4?\nAnswer: -fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*k**3 - 144722\/9 - 60*k**2 + 24479\/3*k.\nAnswer: (k - 269)**2*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1, -224, -1\/6?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 40*v = 100. Solve -3*j - 3*z = 2*j + 1, -3*j = v*z - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 19 + 18 + 4 + 3*y + 0.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15\/4*(36\/27)\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3190 divide 24690600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103460, 103516, 103558, 103580, 103576?\nAnswer: 103540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(52) - (sqrt(52)*-2*5 - sqrt(52)))\/(sqrt(4) - sqrt(36)*3 - sqrt(32)\/sqrt(2)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0.03, 37.54?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**2*n**2 - 11*j*n**3 - 188*n**3 wrt j.\nAnswer: -4*j*n**2 - 11*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (0 - 2 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002407150574 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765560.4 centuries to millennia.\nAnswer: 76556.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118083078 divided by 195826.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 11, 87\/22, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 229948032 divided by -114\nAnswer: -2017088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 88\/3*(-6)\/4. Let j = -29 - v. Solve 29 = 2*d + 5*k, -2*k = 5*d - 7*k + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/22*3*20\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*y - 97*y + 7599 = -323*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-1 - (32 - 27)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -322 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 3*u - 4. Let l(s) = -6*s - 9. Let k be l(-2). Give g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 1968 = 2228 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-3)*666\/(-336). Let x = y + -3\/56. Let g = -14453\/4 + 3635. What is the common denominator of x and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 17}. What is prob of picking 2 u and 1 a?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-28))\/(10\/35)*54\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 26314*m**2 - 173080332*m + 346265928.\nAnswer: -(m - 2)*(m + 13158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + ((sqrt(1900) - -3*sqrt(1900)*-2)**2 - (2 + sqrt(1900))**2*1).\nAnswer: -40*sqrt(19) + 45597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -417\/8 - -2441\/40. Let b = -185\/21 + 11\/28. Find the common denominator of b and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 850315?\nAnswer: 850313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*v + 202 = 0, 5*v = 2*v - 12. Are x and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 q when three letters picked without replacement from {q: 1, d: 1, g: 5, c: 2, f: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:03 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d - 18*d = 162 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92 + 48*k + 6 - 116*k with respect to k.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + f - 4. Let h(z) = 2*z**2 - 2*z + 7. Let v be (7\/3)\/((-16)\/(-48)). Let w(m) = v*j(m) + 4*h(m). Calculate w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 91*u**2 - 4 - 92*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by (2 - 3) + 2*(1 - -27).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/13 - -1\/39. Let o(k) be the first derivative of w*k - 2 - 1\/12*k**4 + 1\/3*k**3 - 1\/2*k**2. Factor o(q).\nAnswer: -(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z + 5. Suppose 4*x + 1 = 3*x. Let d(r) = -r - 1. Suppose 2*i + 16 = -2*v, -5*i + 2*i + 2*v = 9. What is i*d(p) + x*h(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:58 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/8 + 4*o**3\/3 + 16*o**2 - 24. Let v(c) be the second derivative of r(c). Determine v(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -21*t**4 - 7*t**3 + t**2 + 7*t + 7. Let r(j) = -11*j**4 - 4*j**3 + 4*j + 4. Let v(c) = 7*r(c) - 4*y(c). What is the third derivative of v(o) wrt o?\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -68130a4?\nAnswer: 681309a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 1, -4, 1\/3, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326236 is divided by 326227.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 4. Suppose -q*a - 9 = -7*a. Suppose t - 19 = b, 0 = a*t + 2*b - 42 - 40. What is the highest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (-2*sqrt(80) - sqrt(80)))\/((sqrt(4) - (sqrt(4) + sqrt(4) + sqrt(12)\/sqrt(3)))*2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9233*o - 727 = -9338*o + 848 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 208.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/5 + 119*d**3\/5 - 936*d**2 + 11840*d + 12800.\nAnswer: -(d - 40)**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 10152 = -15*b. What are the prime factors of b?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -191*v**3 + 6*v - 6. Let z(r) = -189*r**3 + 10*r - 5. Determine 4*n(h) - 5*z(h).\nAnswer: 181*h**3 - 26*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9264250, -18528499, -27792748, -37056997?\n\"Answer: -9264249*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24774623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 7 - 2*i + 0*i**2 + 1\/4*i**4 - 8\/3*i**3. Determine c(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -1 + 20*w - 1\/2*w**2. Does 9 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-6))\/(p**0)**(-4\/5) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 0 - (7 - 2). Suppose 8*u - 4*u - 5*w - 46 = q, 2*u - 26 = 4*w. Solve -u*h + 13*h = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1. Let y(k) = k + 3. Let n(s) = -6*l(s) - 2*y(s). Let m(w) = 66 - 496*w**2 + 1488*w**2 - 495*w**2 - 2 + 44 - 495*w**2. Calculate m(n(h)).\nAnswer: 8*h**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {f: 12, s: 6, q: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) + (-2088)\/4466. What is the nearest to -15\/32 in -4\/7, z, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 61*a + 5. Put a, 107, 2 in descending order.\nAnswer: 107, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.4 + -39. Let o = s - -10.600000625. Round o to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 1932*a**4 - 4*a**2 + 5 + 3*a**2 - 4*a**3 + 2*a + 1934*a**4 to h*a + w*a**2 + n*a**4 + k*a**3 + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**2 + 41*f + 1. Let x(n) = -4*n**2 - 14*n. Let u(m) = -6*a(m) - 17*x(m). What is u(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -23 + 8 + -2 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1031*y**2 + 561*y - 1. Let a(x) = 2062*x**2 + 1121*x - 2. Let m(c) = -3*a(c) + 7*g(c). Find the second derivative of m(q) wrt q.\nAnswer: 2062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 9 - (2 + 0)) + (-3 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/1451, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36818 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqxqqqmq. What is prob of picking 1 m and 3 q?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363.\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:21 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66053 (base 8) in base 5?\nAnswer: 1341231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrjqqrrqqrjjrjrrjj. What is prob of sequence rqjr?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i - 10938 = -8670 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5351480\/9, -3, 0.2 in ascending order.\nAnswer: -5351480\/9, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770.9286ng to grams.\nAnswer: 0.0000007709286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 + 46*d**2 - 24*d + 16. Let a(t) = -t**3 + 9*t**2 - 5*t + 3. Let u(b) = 11*a(b) - 2*l(b). Is u(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + h**3 + 2*h**3 - 13066*h + 6536*h + 6530*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -6*f**5\/5 - 3*f**4\/5 + 159*f**3\/5 + 426*f**2\/5 + 36*f - 216\/5 = 0.\nAnswer: -3, -2, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-534)\/(-3))\/((-5)\/(-10)). What is the tens digit of 7\/(-21) + j\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - (-2509)\/(-156)) + (-293590)\/96. Let u = l - -3060. Calculate the common denominator of -15\/4 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20 - -14)*(-4)\/(-42))\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/63 - -8\/9. Let s = -25670 + 179688\/7. Put s, p, -3, -17 in decreasing order.\nAnswer: p, s, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6 and 1313\/(-3432) - 8\/48.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o - 18. Let r(b) = -8*b + 4. Let i(l) = -14*l + 9. Let m(a) = -6*i(a) + 13*r(a). Is m(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 g when four letters picked without replacement from {p: 2, g: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-149)\/75)*(5084\/82 + -60)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 20*x**2 - 7. Is c(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-24 + (3\/(-1) - -1)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.4, 0.2, -4\/549, -22\/7?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 24*r**2 - r - 8*r**2 - 271 + 6*r**2 to l + c*r + q*r**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -19, -40?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 3*y**6\/2 - y**5\/10 - 73*y**4\/12 + 19*y - 2. Find the third derivative of j(o) wrt o.\nAnswer: 1080*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.237*40257\nAnswer: -49797.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*y - 5 = 0, 12 = -21*k + 19*k - y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2186*c**2 - 41*c**3 - 2186*c**2.\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35560 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264111.\nAnswer: 17, 133183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 10)*((-3 + 3 + 2)*(-87 + 87 - 36*h) + 2*h + h - 2*h + (-2 + 0 + 1)*(2*h - 3 + 3)).\nAnswer: 511*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/22)*i*i\/((i*i**4)\/i))**(6\/37))**(39\/4) assuming i is positive.\nAnswer: i**(-5499\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) -6 (c) -34 (d) 3 (e) 2\/37 (f) 5 (g) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 25*t. Let v(s) = -49*s. Let f(b) = 11*g(b) + 6*v(b). Let i(a) = -2*a. Calculate f(i(x)).\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (290*m - 878*m - 163*m)*(-3*m**3 + 3*m**3 - m**3) + (0*m**3 + m**3 + m**3)*(-2*m - m + m) to u*m**3 + i*m**2 + w*m**4 + n*m + g and give w.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5538 != 5539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -53\/8*x**2 - 27\/4*x + 182 - 25\/12*x**3 + 1\/16*x**4. What is k in m(k) = 0?\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004282601851 rounded to seven dps?\nAnswer: 0.0042826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.78 + -0.92. Let c = -18535.7 + 18536. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*w + 95 = 4*y - 144*w, 8*y = 3*y + 4*w - 75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 13*g**5\/60 + 31*g**4\/8 + 2*g**3\/3 + 205*g**2 - 3*g. Calculate d(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 1 = -5*h. Let x = h - -17. Let v be x\/(22\/10 + -2). Solve 10 - v = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/13 + 8541816*f\/13 - 9120327572232\/13.\nAnswer: -2*(f - 2135454)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 2*a**2 - 16*a - 10. Let m(p) = p**2 - 2*p. Let n(d) = c(d) - 6*m(d). Give n(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2477988 divided by -4.\nAnswer: -619497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4239827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -1a?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1750593 micrometers?\nAnswer: 175.0593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 - u - 1. Let y be j(-5). Let o be y\/6*(1 - -5). Suppose o*q - 2*q = 8. Solve -w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 56. Let p(n) be the second derivative of -1\/12*n**4 - t*n + 0*n**2 + 0 - 1\/2*n**3. Find the second derivative of p(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32867334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 51*v**2 + 950*v + 149. Determine f(-15).\nAnswer: -2626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 27*w**2 + 2. What is t(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)\/(a*a*a*a*(a*(a**(-3)*a*a)\/a)\/a))\/((a*a*((a\/(a*a**7\/a)*a)\/a)\/a)\/(a**1*a)) assuming a is positive.\nAnswer: a**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 129 = 2*j. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0663369 kilograms?\nAnswer: 0.0000663369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 5*s**3\/3 - 2*s**2 + 7*s - 123. Let g(i) be the second derivative of -i**4\/3 + i**3\/2 - 3*i**2 - 6*i. Give 5*b(v) + 6*g(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 25 = 5*m, -350*n + 345*n + 49 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -3\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220570318 to the nearest integer?\nAnswer: 14852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3407.10012 - 3407. Let a = -0.1 + r. What is a rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5 + 4. Let c = k + -7. Let q be (5079992 + 0)\/c - 2. What is q rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 47. Let f be j(-45). Let o = 415 + f. What are the prime factors of o?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0. What is the closest to 2 in 4\/3, c, 10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - s - s - 10 + 5*s to the form d*s + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 1375 = y - 17*i, -3*y = i - 4125. Calculate the greatest common factor of y and 375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 9720 = 64*l. What is the lowest common multiple of 360 and l?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 120 = 84 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1 + -1.24.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 0.1, -0.3, 12\/181, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-159310)\/(-47575) + -7 + (-2 - -5). Let k = h - 6\/1903. Calculate the common denominator of k and 31\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s**2 + 87*s - 253. Give u(3).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1299426 by -3.\nAnswer: -433142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((90\/(-4))\/3)\/(-38 + (-385)\/(-10))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/2, -4, 3, -2\/13, 5\/13 in descending order.\nAnswer: 3, 1\/2, 5\/13, 1\/3, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = -d. Solve d = -5*z + 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1613*k**3 - 99371*k**2 + 56*k + 2291510 wrt k.\nAnswer: 9678*k - 198742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 55, -1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 282 + -3664\/13. What is the closest to 14 in -1\/4, 5\/4, l?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014537217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6860, -13719, -20578, -27437, -34296?\nAnswer: -41155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 5*t + 41 = 16*v, -2*t = -3*v + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*k + 3198474 - 4522935 - 14376573 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + f)*(2 + 1 - 4) - 747 - 895*f - 487 + 893*f)*(-2*f - 10*f + 3*f)*(1 - 3 - 2).\nAnswer: -108*f**2 - 44424*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100059 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 5) to base 4.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/18 + (-3)\/18. What are the prime factors of 1\/((-10)\/(-4) + p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 6)*(4*j + j - 7*j + 2*j - 1 + 1 + (0 + 1 + 0)*(5 - 5 + j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o. Let c(d) = -20*d - 8. What is c(k(n))?\nAnswer: -380*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3 - -2)*3. Suppose 0 = -4*g + 11 - n. Let a(s) = -s**2 + 6*s - 5. Let w be a(4). Solve g + 10 = w*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87948 divided by 28?\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2751\nAnswer: -825.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 58 + 31 - 6 - 3 - 2*z.\nAnswer: -2*z + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1015 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/2*(-24)\/(-30). What is the highest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1239 and -0.79?\nAnswer: 978.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -209153*y**2. Let d(r) = -12*r**2. What is d(x(m))?\nAnswer: -524939728908*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 65*x + 54*x. Let m(w) = -2*w**2 + 1677. What is p(m(y))?\nAnswer: 4*y**2 - 3354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455 by 455.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 - 52*d**3 + 38*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 0.15, -0.04, -0.045 in decreasing order.\nAnswer: 4, 0.2, 0.15, -0.04, -0.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 0.24. Let m = -530 + 3193\/6. Let i = m + -103\/42. Which is the second smallest value? (a) v (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -11) + -5 + 8 + 2 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 302*p + 2113. Let c be j(-7). Sort 9, 5, 1, -6, c in descending order.\nAnswer: 9, 5, 1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18*d + 16*d = 29, 2*p = -d + 73. Solve -p - 35 = -14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-4 - 36\/(-6)). Suppose -2*g - j*z + 1088 = 0, 0 = -0*g + 3*g - 5*z - 1600. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -42. Suppose m = -5*t + t. Let p(u) = 6*u**3 + 6. Let o(w) = -7*w**3 - 7. What is t*p(d) - 4*o(d)?\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 15, 2, -4 in descending order.\nAnswer: 15, 2, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*v - 27, 5*p - 2*v - 70 = -111 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15222 (base 6) to base 5.\nAnswer: 34322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0162 * 53132\nAnswer: 860.7384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 165702*d\/5 - 231973.\nAnswer: -(d - 165695)*(d - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43079 - 43077. Factor -16\/23 - 76\/23*k**j - 56\/23*k - 2\/23*k**5 - 16\/23*k**4 - 50\/23*k**3.\nAnswer: -2*(k + 1)**2*(k + 2)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -938, -1413, -1904, -2417?\nAnswer: -2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 1. Let o(u) = 2*u - 2. Let w(p) = 6*a(p) + 7*o(p). Let y be w(9). Let k(z) = 3*z + 7. Does 11 divide k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9)*4212\/(-52))\/((-24)\/(-40))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 13, 225 in descending order.\nAnswer: 225, 37, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 60 = 6*m. Suppose -2*c - m = -2*h + c, -h - 5*c = 8. Suppose 5*v + 19 = 3*l - 18, 2*l = -2*v - h. Solve -3*t = -1 + l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(49\/(-28) + 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8031462kg?\nAnswer: 803.1462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (209 - 11) + (2 - 4)*-2.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -87. Let y = q + -57. Let m = 29 - y. Which is the second smallest value? (a) 1 (b) -0.4 (c) -2\/3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.358976398 + -176.359089398. Let q = -176 - y. What is q rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322 - -482. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -4906?\nAnswer: -4\/2453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 5*v**2 - 2*v**2 + (0*v + 2*v + 0*v)*(-13*v + 0*v + 0*v).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/55 + 103\/220. Sort w, -2\/7, -5, 0 in descending order.\nAnswer: w, 0, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + 2*l + (14 - 14 + 9*l)*(-3 - 1 + 5))*(2*l - 2*l + l)*(-3*l + 2*l + 0 - 2).\nAnswer: -11*l**3 - 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 21 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z + 3*z - 7)*(-6 - 29 + 8) + (3 - 2 + 1)*(-2 + 2 + z).\nAnswer: -25*z + 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 26*l**2 - 11*l - 34. Calculate g(-13).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/20)\/(26\/10 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1098 - 755 + 599 = -209*u. Put -4, u, 2, -2 in decreasing order.\nAnswer: u, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4746 + -4741. What is the third smallest value in a, -2\/13, -142?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188497046 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = 0. Let i be (-4 - -5)*(1 + c). Calculate the remainder when 36 is divided by 114\/9 + i\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*l**6 + 96*l**2 wrt l.\nAnswer: -8640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007378 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -97481.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*q - 143 + 98, 0 = -5*q + 3*x + 63. Calculate the lowest common multiple of 753 and q.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837\/6 - (-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - 0\/4 - -4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 152*z - 133*z. Let m = 0 + -0.1. Which is the closest to m? (a) z (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 4*o + 14. Let q(c) = -c + 1. Let p(d) = -f(d) - 5*q(d). Suppose 2*r - 11 = 1. Let m be 0*(21\/r + -3). Calculate p(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*p - 1 = 0, 4*a = 3*p - 7 + 3. Let j = 6 - 3. Let f(y) = -4 + 2*y + 4*y**2 + y**j - 3*y**2 + 5. What is f(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1361, 4968, 10979, 19394?\nAnswer: 30213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 + -404407?\nAnswer: -404372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.066 and 214045?\nAnswer: -870306.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (272\/28)\/((-10)\/(-35)). Is 0.1 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92296 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: Four letters picked without replacement from {t: 1, r: 3, f: 3}. What is prob of sequence rtff?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45129165509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 1. What is l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/73 - -6101\/219. Let s = o + -28. Let g be 0*(3 + -2) - 0. Which is bigger: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 6. Let m be (13\/2)\/((-3)\/(-18)). Let d = m - a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16416 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + i**2 + i - 1. Let s(o) = -7*o**3 + 12*o**2 + 12*o - 7. Let w(k) = -4*h(k) + s(k). Determine w(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 6*k - 1102. Suppose -k - 2384 = -5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2. Let q(p) be the third derivative of 101*p**4\/24 + 45*p**2 - p + 4. What is q(c(d))?\nAnswer: 303*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.5869 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b + 269 + 361. Which is greater: -41 or b?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1169 or 1167?\nAnswer: 1169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-108))\/(3\/27).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b - 12*b + 18*b - 4 + (5 + 0 - 3)*(-4*b + 0*b + 5*b) - 2 + 2 - 4*b.\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.9 - -22. Let p = y - 0.892. Round p to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 918*o**4 - 7304*o**3 + 21872*o**2 - 29136*o + 14560.\nAnswer: -(o - 910)*(o - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 3 + 1 - sqrt(1584).\nAnswer: -11*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8107*m - 8220*m + 18193 = -16488*m for m.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*g + 12 = -16, -4*w - 3*g = -90. Let x be (w\/15)\/((-8)\/(-20)). Suppose x*a + 14 = 42. Solve -3*s = -o - a, 5*o + 2 - 39 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9011, 8982, 8953, 8924, 8895?\n\"Answer: -29*r + 9040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2\/9 - 520*w\/3 + 16900 = 0. Calculate w.\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccczzalllclllha. Give prob of picking 3 l and 1 a.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44b382 (base 13) to base 2.\nAnswer: -110001100100010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((((-1)\/1)\/1)\/(-11))\/(-1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1. Let i(j) = -j - 1. Let w(z) = -i(z) + 6*k(z). Let y be w(-2). Suppose m - 25 = -y*p, p = 5*m + 5*p - 20. Solve m = -3*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 1 + 2 - 2*p**3 + 5*p**2 + 3*p**3. Let v be y(-4). Let l(h) = -h**3 - h**2 - 1. Let a(i) = 6*i**3 + 3*i**2 + 3. What is v*l(r) + a(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:02 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/283860 and -22\/1632195?\nAnswer: 6528780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045195.445 rounded to the nearest 1000?\nAnswer: 1045000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(11) - sqrt(11)) + -4 + sqrt(11) + -5 + sqrt(44)\/sqrt(4) + (sqrt(33)\/sqrt(3) + 1 - (sqrt(396) + -1)))**2.\nAnswer: 70*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:57 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 47108*x**2 - 47090*x**2 + x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011100100 (base 2) in base 9?\nAnswer: -4466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -2417?\nAnswer: -18\/2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-4 + (-4 - -1) + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1303?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77343 + -38799. What are the prime factors of z?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (1 - 3) + (-2 - (19 - 31)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57705.12l?\nAnswer: 57705120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, -1, -17 in decreasing order.\nAnswer: 4, 1, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p + 8. Let b be w(-6). Suppose b*k = -0*k + 4. Suppose 3*m = 12, 2*o - 5*m + 4 = -k*o. Solve 4*c = 8 + o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 5. Let u be a(3). Let l(m) = -3*m**2 - m**2 - u + 0*m**2 + 3*m**2 + 8*m. What are the prime factors of l(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 4*f + 5. Let x be p(3). Suppose 366 = a + x*a. What is the remainder when 44 is divided by a\/8 - 5\/20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19154456 and 1035376?\nAnswer: 38308912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = -1. Let x be (-9)\/(-15) - j\/(-5). Solve -3*m = -2*m + x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72992 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*r**3 + 1455*r**3 - 65*r**3 - 661*r**3.\nAnswer: 2667*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1891*f = 180*f + 555*f - 322998 for f.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 3, f: 1, r: 6, l: 3}. What is prob of picking 1 l and 1 r?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21507 >= 16351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 1944788?\nAnswer: 9723940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 d when four letters picked without replacement from {b: 2, v: 4, g: 1, d: 7}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Let z = r - 2.4. Let o be (-48)\/20 + (-2)\/(-5). Which is the nearest to o? (a) 3 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9488 + -86.4812. Let a = -87 - c. Round a to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34b (base 13) in base 11?\nAnswer: -479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 58*d**2 - 39 + 19 to f*d + c*d**2 + v and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*i - 2*a - 17, 2*i - 5*a - 14 = 0. Solve -i*l + 4 = -6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 29 = -5*w. Let g be 89 + 1 + (-10)\/2. Suppose 0 = -11*n + 25 + g. Calculate the remainder when w is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67902882 to the nearest integer?\nAnswer: 8240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/24 + u**3\/3 + 105*u**2. Let h(v) = -3*v - 3. Let o be h(-3). Let g(r) = 1. Let s = -79 - -76. What is o*g(l) + s*z(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 8:57 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1958, 3829, 5692, 7547?\n\"Answer: -4*c**2 + 1883*c + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 - 35\/24*o**4 + 66*o**2 + 1\/24*o**6 + 10\/3*o**3 + 1\/6*o**5 - o. Suppose c(u) = 0. Calculate u.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/10, -0.5, 30, -0.4, 319?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 12 = 4*h - 4*k, 2*h = 4*k + 6. Let f(u) = -4 + h*u - 5*u - 3 + 0. Give f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(2 - (-388)\/(-200)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - u**2)*(5*u - 3*u - 32*u).\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(28) - sqrt(28)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 3*h + 5. Suppose -p = i - 3*i + 11, -5*i - p = -24. Let v(m) = 3*m**2 + 5*m + 8. Give i*v(a) - 8*q(a).\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**8\/168 - 17*t**5\/60 + 77*t**4\/24 - 31*t**2. Find the second derivative of h(r) wrt r.\nAnswer: -40*r**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 583 + 559 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.9697 to one decimal place.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**2 - 5*t - 5. Let o(j) = 4*j**2 + 2*j + 2. Let u(f) = -5*o(f) - 2*q(f). Let a(c) = -7*c. Calculate a(u(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 3*d**2 + 0*d + 2*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -7*i + 2*i. Suppose 5*m + 11*s = 6*s + 25, -i = -5*m - 2*s. What is the closest to 2 in -0.1, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63704 * -0.224.\nAnswer: -14269.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzcczcczcc. Give prob of sequence zzz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68404?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 71 = 2*q. What is the common denominator of (-3289)\/(-390) - (-4)\/6 and q*(4 - 126\/32)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42950000 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90\/7 + -4\/21. Let u = 1788 - 23190\/13. Calculate the common denominator of t and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -264*w**2 + 247\/60*w**5 - 1\/8*w**6 + 0 + 0*w**4 + 0*w + 0*w**3. Find the third derivative of n(x) wrt x.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 19. Suppose -11*g**4 + j*g**4 - g**5 - g**5 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k - 4. Let x be m(-3). Calculate the common denominator of 121\/x - (-12)\/(-16) and -21\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-704)\/240 - -3)*35\/(-2).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36b8a4 + -3?\nAnswer: -36b8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.5 + 1.5. Let v = y + 14.52. What is v rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 10*i + 41, 13*o + 16 = 9*o - 5*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, -1, -4.\nAnswer: -15, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (164 + 306 + 110)*(-1 - 4 + 4)*(-1 + 0 + 3)*(3*i**2 + 5*i**2 - 3*i**2) to n + a*i + r*i**2 and give r.\nAnswer: -5800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 308 - 148 = -80*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffg when three letters picked without replacement from gfgfffggwwe.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/49 + 4768\/(-14). Let i = -196 - o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t + 96 = -41*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1498 divided by -350140.\nAnswer: 107\/25010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/10)\/((-1)\/(-5)). Let o(r) = -5*r**2 - 1 + r**2 + 5*r - 3*r - i*r**2. Calculate o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*l**5 - 873*l**4 + 756*l**3 + 2148*l**2 + 576*l = 0. What is l?\nAnswer: -16, -1, -6\/19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2657.\nAnswer: -265.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/12 - v**3\/6 + 2*v**2 + 12*v. What is x(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40.5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 1. Let c = k - 29. Let x = c + 21.77. Round x to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 2102.083?\nAnswer: -2105.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*v + 109*v = 5. Which is the biggest value? (a) -2\/5 (b) -1\/2 (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233 + 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27138589.\nAnswer: 349, 77761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17626868669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -863342*y**4 - y + 8500677 with respect to y.\nAnswer: -3453368*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -36*g**3 + 34*g**3 - 2 + 11*g - 3 + 4. What is the units digit of v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.093 and 5.\nAnswer: 0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4543, 4544, 4545, 4546, 4547, 4548?\nAnswer: 4549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3 + 3)*(2*v**2 - 3*v**4 + 0*v**2 - 2 + v**4).\nAnswer: -2*v**5 + 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3 + 7*c**2 + 3 - 2. Suppose 7 = 19*x - 69. Suppose 2*g + 14 = 2*i + 4*g, 0 = -i - x*g + 7. What is t(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21307377 and 1449?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 + 345. Is -107 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86492771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4 - 3 + 6*k**2 - 3*k**2 - 2*k**2. What are the prime factors of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 9. Let y be l(-5). Suppose 0 = z - 0*z - y. Suppose 0 = 2*j - 28 + z. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 36 = 4*x, u - 4*x + 1 = -5. Let l(n) = n**3 - 7*n**2 + 5*n + 5. Calculate l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t + 9. Let g be d(-6). Let a be 71\/(-24) - 3\/g. Which is bigger: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139521 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -0.4, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -33*a - 7. Let i(k) = -33*k - 6. Determine 5*i(c) - 4*j(c).\nAnswer: -33*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiiibb. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.5891 to one decimal place.\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 8997370*t + 107967720.\nAnswer: 5*(t - 1799462)*(t - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 44.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 0 + 3*m + 0*m**3 + 19 - 4*m**3 + 3*m**3 + 14*m**2. What is the units digit of x(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3290, 3450, 3896, 4772, 6222?\nAnswer: 8390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44863278 = 14*x - 117938462. Suppose k + 5*c + 19671 = 0, -4*c + 39306 = -2*k - 2*c. Let q = x + k. What is q rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/11 + 58336*k**3\/11 + 816410*k**2\/11 + 2857092*k\/11 = 0.\nAnswer: -29154, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j**2 - 3*j**2 - 3*j**2)*(j**2 + j**2 - 4*j**2) + 3 - 3 + 2*j**4 + (4 + 2 - 5)*(3*j**4 - 3*j**4 - 2*j**4) + 2*j**2 - 2*j**2 + j**4)*(-3 + 10 + 3).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:07 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + ((-6)\/(-99))\/(20\/440). Factor -2\/7*y**5 - 10\/7*y**4 - 4\/7*y - 18\/7*y**3 + 0 - b*y**2.\nAnswer: -2*y*(y + 1)**3*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4990 - -4992. Solve -4*m - 4*p = 16, 22*p + 11 = -s*m + 17*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92356 is divided by 30785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(1*sqrt(2)))**2 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Let i be (3 + (-41)\/14)*x. Sort -3, i, 3 in ascending order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**3 + 16*b**3 + 36*b**3)*(1 - 1 + 2).\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 22 = -3*c. Let a(h) be the third derivative of 5*h**4\/8 + 11*h**3\/6 - 6*h**2. Let g(b) = 3*b + 2. What is c*g(m) - 2*a(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11404 + -204002?\nAnswer: -142043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.2 - 1.8. Let q = 7 + h. Put -4, 0.1, q in descending order.\nAnswer: 0.1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -2.1. Let p = 0.9112 + -1.2112. Suppose 5*t + 5 = -20. Sort p, d, -2, t in ascending order.\nAnswer: t, -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + -7 + 1 + 5 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9010\/10143 + -2\/3381. Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + w**2 + 15510*w - 16982*w - 157.\nAnswer: w**2 - 1472*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -844, -937, -1128, -1471, -2020?\n\"Answer: -9*k**3 + 5*k**2 - 45*k - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*x - 9 = 16, 0 = w - 4*x. Let l be 2*2 - 1*-1. Suppose f - 4*f = -48. Solve -4*n - f = -w*a, 6*n = -l*a + n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112861182 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/249356 and -31\/137802?\nAnswer: 5236476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (0 + (-1)\/1). Let c be (4\/6 - (-26300)\/60)\/(-1). Let q = c - -439. Put 4, -1, l, q in descending order.\nAnswer: 4, l, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*o = 3673 - 23641. What is the highest common factor of 192 and o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101111111010 + 1010100101110?\nAnswer: 111000100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 1. Let o(s) be the second derivative of -11*s**3\/6 + 6*s**2 + 9*s. Let p(f) = -2*o(f) + 18*x(f). Let a be p(2). Solve u = -a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 22 = 3*g, -4*g + 0*g + 31 = 3*t. Let c(p) = -4*p + 4*p - t*p + 3*p - 2. Calculate c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258718294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**2 + 3*j**2 + 2*j**2 + j + 59*j**2 + 22*j**2 - 176*j**2 + (-3 + 3 - j)*(0*j + 2*j - j).\nAnswer: -98*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15725, 18632, 23477, 30260, 38981, 49640, 62237?\nAnswer: 76772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 444, 10, -2, 2.\nAnswer: -3, -2, 2, 10, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2762 - -1404. Let v = w - 83. Let l = v + 2190. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28421 = -4*b + 3847. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -8 - (5 - 1 - 4)) + -18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44005 + 1107*i + 88012 - 996*i - 44007.\nAnswer: 111*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-315)\/(-65))\/1 - 5. What is the third biggest value in 1\/4, l, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/540 and 9\/40.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/18)\/(2\/(-4)). Let c be (x + 1)\/(-1)*1. Let i(v) = -v + c*v + v + v. What is i(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 2, -0.3, 72, -5, 47.5?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2*(-2)\/48). Let u = -24 + 31. Suppose -u*s = 7 - 63. Calculate the greatest common divisor of j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -56. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) -158872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -96a5?\nAnswer: 96a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -148. Calculate the highest common factor of u and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1079\/39 - 1\/(-3). Calculate the highest common divisor of 12 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9\/12 - 13\/24)*52 and -6\/109.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5393938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) -2 (b) 1\/2 (c) 0 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t. Let y(k) be the third derivative of 3*k**4\/2 + 2*k**2 + 175*k. What is y(w(f))?\nAnswer: -216*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - z**2 + z - 13. What is the hundreds digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - 11*v - 9*v + (-v - v - v)*(1 - 3 + 1))*(v**3 + 0 + 0) in the form a*v**2 + h*v**4 + x + l*v**3 + n*v and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Suppose 2*j + 2 = 0, -2*j = -z*d + j + 15. Let g(t) = t**3 - 5*t + 11*t**2 + 2 + 4*t**2 - 16*t**2. Give g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -6*y + 54. Suppose 3*m = 2*x - 0*x - y, -3*m = 0. What is the greatest common factor of x and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360058597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -39*y**3 + y**2 - y - 1. Let d(m) = -2*m**3 + 132*m**2 - 130*m + 1. Let i be d(65). What is o(i)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -20. Let h = 25 + -97\/2. Find the common denominator of ((-2)\/r)\/(22\/354) and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61\/6 - 29\/3. Find w, given that -3\/2*w**2 - d - 3\/2*w - 1\/2*w**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4069 + -1a6?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031 * -1.1.\nAnswer: -0.0341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 2. Let v = -6 - -9. What is the remainder when z(v) is divided by (4\/5 - 2)*135\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -0.01. Let w = -0.03 + l. Which is the closest to w? (a) 1 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1064)\/(-32)*5312\/(-9296)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 337 - 331 = 0, 17*r + 6*r = -3*p + 1113 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -806806 (base 9) in base 13?\nAnswer: -1393c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 6*h + 0*h + (-4*h + 3*h + 0*h)*(0 + 1 + 1))*(-94*h - 36*h + 46*h) to the form o*h**2 + q*h + k and give o.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -281*b**4\/12 + 17*b**3\/2 - b**2\/2 + 618*b. Find the second derivative of x(h) wrt h.\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167026365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -541140 - 3?\nAnswer: -541143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.038 - 0.962. Let f = -17 + 18.3. Let h = f + j. What is the biggest value in 1\/2, h, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4061421 is divided by 2658.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 7 - 3*g - 5*g**2 + 8*g + g**2. Let d be h(-7). Suppose 0 = -d*z + 1220539 + 130461. What is z rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*x + 13, -3*x + 7 = p - 5*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9376481 times 0.5\nAnswer: -4688240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -46, -27, 0, 35?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/34*24\/(-2). Suppose m = 25 - d. Suppose -3*f = -z - z + m, f = z - 8. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 * 773.\nAnswer: 32.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1 - 163*z + 209*z + 164*z - 1. Let g be j(2). Suppose 0 = -2*h - u + g, 3*h + h - 824 = -5*u. What is the remainder when h is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - -be6dbd?\nAnswer: be6dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 0*f**2 + 2*f**2 + 0*f**2 - f**2 + 0*f**2 + (3 - 1 + 0)*(2 + 2*f**2 - 2) + 3*f**2 + 3*f**2 - 4*f**2 + (0*f**2 - f**2 + 5*f**2)*(-2 + 1 + 4).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2 - -1)\/((-8)\/4)). Suppose 30 = 4*w + 3*c, -w + p*c - 10 = -2*w. Solve -5*v - 3*l - 30 = -w*l, 2*l - 19 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*s - 504 = s. Let r be (-20)\/(-3)*135\/190. Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196815745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*f - u - 149, -3*f + 165 = 3*u. Let n = f - 21. Suppose -3*j = j - 4*a - 140, 0 = -j - 4*a + n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.948692 weeks to milliseconds.\nAnswer: 6016968921.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 0)*(-w**3 - w**2 + w**2) - 5*w**3 + w**3 - 2*w**3 as u + f*w**3 + k*w + z*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/(36\/(-696)). Let z = 13 - j. Let u = z - -72. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18)\/((-12)\/(-54))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y + 14. Calculate j(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 23*r**4 - 9*r + 10. Let b(a) = -12*a**4 + 4*a - 5. Suppose -p - 36 = -5*p. Let y(t) = p*b(t) + 4*z(t). Find the first derivative of y(h) wrt h.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(140)*2)\/sqrt(10))\/(sqrt(24)\/sqrt(192))*-3 + 2)**2.\nAnswer: -240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2180)\/763 - 16\/14. Let z(g) = 13*g**2 - 19*g - 89. Is 10 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 31. Let w be s(13). Find the second derivative of 2*u**4 - 11*u**4 - w*u**4 - 13*u + 2*u**4 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-9 - (0 + (-6 - -3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.039 - -0.039. Put u, -5, 1.4 in descending order.\nAnswer: 1.4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*z**2 + 12 - 19*z**3 - 3*z**2 + 17*z**3 wrt z?\nAnswer: -6*z**2 - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33993 is divided by 147.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51207\/130)\/101*75\/65?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1148)\/(-112) + 2\/(-8). Let q be ((-11)\/(-5) - 3)\/((-4)\/z). Suppose -12 - 4 = -q*c. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(6\/(-225)). Suppose -2*i = -5*w + z, -6*w + w - i + 15 = 0. Determine x so that -x**3 - 1\/2*x**w + x + 1\/2 + 0*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106861 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 3, 0 = 5*r + 3*k - 1478. List the prime factors of r.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let u(n) = -n**2 + 2*n + 3. Let f(t) = u(t) - 3*v(t). Give f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtqmiwiii. Give prob of sequence wm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3754363\/81 - 46351. What is the common denominator of s and -28\/5?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243091706*f**4 - 61484605*f**2?\nAnswer: -5834200944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -393*a - 380*a + 48 + 744*a to the form h*a + g and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2 - 1 + 1. Let i(v) = -9*v + 18*v - 4*v - 5 - 4*v. Suppose 5*w - 4 - 21 = 0. Calculate w*f(s) + 2*i(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 5073722\nAnswer: 41\/5073722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*x**2 + 0*x - 3*x + 8 to s*x**2 + g + p*x and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**7\/168 + n**6\/48 + 21*n**2 - 58. Let w(s) be the second derivative of f(s). Find p, given that w(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 23442101?\nAnswer: 23442042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001351267 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*h = 541*h - 8890 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/60 - o**4\/4 + o**3\/6 - 2*o**2. Let u = 38 - 43. Give c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 6 = 0. Suppose -g = -3*i - 8. Suppose 6*k - 9 = 3*k. Which is the second smallest value? (a) 2\/7 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8470.604km in micrometers?\nAnswer: 8470604000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 - 5*o. Let d be q(-4). What is the second derivative of 4*f + d*f**5 - f**5 - 8*f**5 wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4684, -4657, -4640, -4633, -4636, -4649?\n\"Answer: -5*m**2 + 42*m - 4721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*v, -3*t - 2*t = 2*v - 20. Solve k + 0*k + t*n - 7 = 0, 0 = 4*k - 5*n - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 4. Let b(x) = 216*x - 135. Let a(i) = -43*i + 27. Let p(m) = 24*a(m) + 5*b(m). Determine -4*p(f) - 27*v(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42548\/26109*(-3 + 57)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(a*a**2*a)*a**(-9)\/((a*a\/(a**8*a)*a)\/a))**(-16) assuming a is positive.\nAnswer: a**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + 12. Let d(x) = -1. Let h(g) = -c(g) - 12*d(g). Let a(j) be the second derivative of 3*j**3\/2 - 142*j + 3. What is a(h(n))?\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28486 at most 0.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/7 - 2276*m**3 + 79696*m**2\/7 - 111588*m\/7 + 47826\/7 = 0. What is m?\nAnswer: -7971, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*y - 3542 = -535*y. Calculate the highest common factor of y and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1458977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by 6.\nAnswer: 203\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*g - 2, -3*p - 4*g = -12 + 2. Suppose -3*c - 36 = -4*k + c, -p*k = c - 9. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.1. Suppose 2*q = 3*q. Let m be (1 - (-1)\/(-2))*q. What is the nearest to m in 3, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138082 (base 11) in base 3?\nAnswer: -101221220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.6 + 5.6. Let h = b + 33. Let v = -4 + 4.1. What is the closest to h in v, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -3, 4.\nAnswer: -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(9\/7)\/((y\/(y*y**(1\/4)))\/y))\/((y\/(y\/(y*y**(2\/5)*y)))\/y)**(-10\/7) assuming y is positive.\nAnswer: y**(127\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**5\/60 - 4*t**4\/3 - 11*t**3\/6 + 51*t**2. Let n be p(-31). Solve n = -5*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(3\/2 + -2). Let y(a) = -a - 2. Let s(m) = -m - 2. Suppose -4*k - k = -15. Let h(p) = k*y(p) - 4*s(p). Give h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-182)\/(-144599))\/(0 + 1). Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + 70\/(-15). Let k be (-1)\/c + (-35)\/(-4). Let a = k - 6. Calculate the smallest common multiple of 8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*n**2 - 222*n**2 + 662*n**2 - 212*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -970 + 972. Solve -9*v + w*t - 20 = -4*v, v - 3*t = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17994, -28, -5\/7, -0.2, -2 in ascending order.\nAnswer: -17994, -28, -2, -5\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let d(p) = -3*p**3 + p**2 + 4*p - 2. Give -d(y) - 3*g(y).\nAnswer: 3*y**3 - y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 100377958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8888 a factor of 2708654814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 29, 68, 111, 152, 185, 204?\n\"Answer: -g**3 + 11*g**2 + 3*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 17*w - 18 + 17 - 2*w**3 + w**3 to the form a + t*w**3 + k*w**2 + l*w and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5375, 10748, 16121?\nAnswer: 21494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n. Give m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -376 + 370. Let j(t) = t**3 + 5*t**2 - 5*t - 1. Let p(n) = n**3 + 5*n**2 - 5*n. Let m(f) = -3*j(f) + 2*p(f). Calculate m(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 345309 - 3?\nAnswer: 345306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-19))**(-48)\/(((d\/d**(2\/105))\/d)\/d**4) assuming d is positive.\nAnswer: d**(91142\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -57, 5, -1, 41.\nAnswer: -57, -1, 2, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(147) + (4 + sqrt(147) + 0)**2.\nAnswer: 63*sqrt(3) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -34*w + 30*w + 2714, -4*w = 4. Does 203 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 67. Suppose -p + n = 3*q, -5*q + 2 + 6 = -p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -51, -71, -91, -111?\n\"Answer: -20*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2816 and 23115?\nAnswer: 65091840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.6179 millennia in months?\nAnswer: 5119414.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201340?\nAnswer: 2, 5, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -228, -394, -614, -900, -1264, -1718, -2274?\nAnswer: -2944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892035 + 387970 = r. Suppose -r = -4*s + 5*x - 0*x, 5*s = 4*x + 1600004. Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 3*c + 1. Let a be h(3). Let b be 82 + 1 + (21 - 27). Let f = b - a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*j + 7*j = 503*j + 31678 - 3052 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - w = -56286 + 56263, 5*s - 2*w = 49 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esesttssstssetsse. Give prob of picking 1 e and 1 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 44. Let j = o + -10. Let x be 6\/j + (-6)\/24. Is x bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -2*u - 1. Suppose 6*v + 3*l - u = 3*v, 3*v = l + 65. Let x(w) = w**2 - 2*w + 13. What is the remainder when x(9) is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080881641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 1510789.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -680219.\nAnswer: -4\/680219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 2, n: 6, h: 1, i: 2, c: 3}. What is prob of sequence gy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 10. Let u be m(0). Let g(z) = -z + 1. Let j(l) = -l**3 + 9*l**2 + 15*l - 15. Let f(r) = 2*g(r) + j(r). What are the prime factors of f(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -1. Let y be 8 + 29\/(-4) + (-135)\/100. Let m = -2 - -1.6. What is the closest to h in m, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 2*t**7\/7 - 23*t**6\/10 + 153*t**5\/20 - 55*t**4\/4 + 29*t**3\/2 - 9*t**2 + 380*t. Factor g(k).\nAnswer: 3*(k - 2)*(k - 1)**3*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q + 166. Suppose 18*a + 389 = 65. Let v(s) = s**3 + 5*s**2 - 4*s + 2. Calculate the remainder when j(a) is divided by v(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/157252 and 37\/7076340.\nAnswer: 7076340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 40. Calculate the greatest common factor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -4. Let g be (60\/(-8))\/(3\/(-28)). Suppose w*y = y + g. What is the least common multiple of y and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -1. Let s be 33*(-4 - -3 - i). Suppose t = -4*t + 20, 3*t = d - s. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-45)\/7 + 4 - 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*x - 134*x - 122*x - 118*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*m + m - 10 = 0, 5*c - 3*m = -19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*w**2 - 2)*(-2 - 1 + 4) + (1 + w - 1)*(-5*w + 4*w - w) - w**2 - w**2 + 3*w**2 - 3*w - 7*w**2 + 3*w to m*w**2 + n*w + t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -106, 140, 1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2 + 3 + 10)*(w - 2*w - 2 + 2*w).\nAnswer: 30*w - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctttlclctwwlcl. What is prob of sequence tlwt?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**3 - 1594*u**2 - 15382*u - 4950 = 0.\nAnswer: -9, -1\/3, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*u = -146*u - 260 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7*i**2 + 4*i**2 + i**2)*(-3 + 3 + 2*i) + 4*i**3 + 2*i**3 - 4*i**3)*(1 - 2*i - 5*i - 3) to d*i + l*i**3 + u*i**4 + a + o*i**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7 plus -7?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658011 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 55 = 95. Let i = 7.2 + -31.2. Let m = 24 + i. Is j bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 110 (b) 2\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147, -143, -137, -129, -119, -107?\n\"Answer: v**2 + v - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 278 and 77006?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 11. Let g be f(3). Suppose g*u - 61 - 3 = 0. Calculate the remainder when 61 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16129097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30436 (base 7) to base 6\nAnswer: 54214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = t - 11*y + 12*y, -y + 10 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2042 + -2047. Put 5, s, -1, 2 in increasing order.\nAnswer: s, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166\/(-44) + 2 - (1650\/(-12))\/55\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014833538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 20*u**2 - 9*u**2 - 12*u**2. Let l(w) = w**2. What is l(p(f))?\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 2*k**2 - 2*k + 7. Let h be p(-3). Let l(s) = -2*s + 2. Let n be l(h). Let b(q) = -q - 4. Give b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.5 + -50. Which is the nearest to 0.3? (a) 5 (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 - 1006\/7. Let z = -143 - -431\/3. Let w = -3 + 2.5. What is the third biggest value in z, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64578075 divided by 3.\nAnswer: 21526025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 + 33 = 0. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9138, -18283, -27428, -36573?\nAnswer: -45718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - 404. Let a = f - -825. List the prime factors of a.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2 + 10*p - 2 + 3 - 2. Does 15 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234856, 234857, 234858, 234859, 234860, 234861?\nAnswer: 234862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3235 = -5*q, 5*q - 3124 = 6*k + 122. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 12*d**2 - 205*d + 99. What is o(-21)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Does 12 divide (1 - (n - 1)) + 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 4669*l**2 + 546*l**3 + 2 + 1326*l**3 - 4 wrt l?\nAnswer: 11232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 322940 and -0.143367.\nAnswer: 322939.856633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*p**2 + 16342355040*p + 137950706742465600.\nAnswer: 4*(11*p + 185708580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20374, 20536, 20702, 20872, 21046, 21224, 21406?\nAnswer: 21592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + 1*sqrt(891)*3 + (sqrt(2816) - -5*(sqrt(2816) - sqrt(2816)*-1))))**2.\nAnswer: 18270*sqrt(11) + 4079916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 1. Suppose 0 = 5*m - n + 2*n - 21, 5*n + 15 = 5*m. Let t be (0 + (-304)\/20 - 2\/(-10))*-1. Solve t = m*k - d, 3 = 4*d - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11649040783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2942 + 5203*d**4 - 391087*d**2 + 391087*d**2 wrt d?\nAnswer: 20812*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1420 - 1417. Solve -4*w + 0*m - l = 3*m, -4*m - 4 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 5, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5437 + 4798.3. What is r rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*q + 577*q - 7 = s, 5*q = 4*s - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2980*w + 61384 - 2290 = 303*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -43\/5*k**3 - 1\/10*k**4 + 0 - 17\/2*k**2 + 0*k = 0.\nAnswer: -85, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 + 12\/(-15)*25 and 2?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 2*z**2 + 2*z - 1. Let c be a(1). Is c\/(2\/3)*13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543908 divided by 514636?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 4\/5, -0.205, 1\/6 in decreasing order.\nAnswer: 4\/5, 1\/6, -0.205, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 105*g**2 - g. Let d(p) be the second derivative of -p**4\/12 - 597*p. What is d(x(n))?\nAnswer: -11025*n**4 + 210*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(525) - -1*sqrt(525)*2))\/((sqrt(14) + -1*sqrt(350) + sqrt(350))\/(sqrt(200)*2)).\nAnswer: -1500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77.70307 + 0.00693. Let b = f - 78. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/28)\/(3\/(-6))*-7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 28, -21, -90, -179, -288?\n\"Answer: -10*z**2 + z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51673345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5608574, 22434375, 50477378, 89737583?\n\"Answer: 5608601*c**2 - 2*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 5*h + 8. Let m be a(-4). Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.219791.\nAnswer: 4.879164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 97, 92, 87?\n\"Answer: -5*p + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 555340441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/24)\/(1\/(-64)). Let s = c - 23. Suppose -4*b + 3*x + 97 = -26, 4*x - 34 = -2*b. Calculate the greatest common factor of s and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15502 + 8719 = -1600*c + 17217 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 449080 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 254.69 - 256. Let v = p - -1.3117. What is v rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - (-82 + 154)) + 3 + -3 + 1 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 96 = -0*n + 3*n + o, 3*o = -r*n + 57. Solve k + b - 7 = 4*k, 2*k = -5*b - n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3167523 + -3167526.0000016. Let v = -0.01 + 3.01. Let j = y + v. Round j to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**3 - 3*r - 3*r**2 - 27 + 27.\nAnswer: 3*r*(r - 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 91 = 74. Let z = w - 33. Solve z - 25 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*m - 4206 = 61*m - 4089 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16856927 or 0.1?\nAnswer: 16856927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 272, 645, 1166, 1829, 2628, 3557?\nAnswer: 4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**4 - g**2 + g - 1. Let a(c) = -3*c**4 + c**2 - c. Let l(v) = -a(v) - p(v). Find the first derivative of l(n) wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 46410413?\nAnswer: 46410410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**3 - 2*x**2 - 2*x + 3. Let j(b) be the third derivative of b**5\/60 + b**4\/24 - b**3\/6 + 6*b**2 - 377*b. Give -3*j(o) - s(o).\nAnswer: -7*o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 113 = -26*j - 505. What is the third smallest value in j, -0.7, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 2 + 19 + -24. Suppose -n*d = -5*i - 945, 5*d = i - 0*i + 1597. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 104*z + 632\/3.\nAnswer: -2*(z - 2)*(z + 158)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114*x**2 - 15306*x + 15306*x)*(-x**2 + 3*x**2 + x**2) to the form w*x**2 + g*x + l*x**4 + n + z*x**3 and give l.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.273 + 679.727. Let m = 680.9523 - c. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*g**3 + 3*g**2*v**2 - 5*g*q**3*v - 4*q**3*v**2 - q**3 - 151*q*v**2 + 2*q wrt g.\nAnswer: 177*g**2 + 6*g*v**2 - 5*q**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1127 divided by -1127.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 880.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1101010111011000010001 (base 2) to base 11\nAnswer: -1a83371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 221?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3 - 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 37 in descending order.\nAnswer: 37, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 17, -5, -53, -133, -251?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318\/(-1431) - -1*88\/558?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -790*91\nAnswer: -71890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11155519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from swssssssssssssssws.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 233741, 234933, 236125, 237317, 238509, 239701?\n\"Answer: 1192*q + 232549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 - 17583*f**2 - 6*f - 743832?\nAnswer: 6*f**2 - 35166*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/19, -5\/4, -4\/5, 0.6, -2\/3 in decreasing order.\nAnswer: 0.6, -2\/3, -4\/5, -16\/19, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -8, -18, -5, 25 in descending order.\nAnswer: 25, 5, -4, -5, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -14*o - 77. Solve 7*t - o = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002101 + 1211?\nAnswer: -10000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156476847?\nAnswer: 3, 263, 198323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -276 = -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*(-1918)\/411?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ava. What is prob of sequence av?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 - 2*j**2 + 8*j - 429. Let h(a) = a**2 - 3*a + 5. Determine -8*h(o) + 5*y(o).\nAnswer: -3*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) + -2 + 1 + sqrt(75)))**2*5 + (1 + sqrt(12)\/sqrt(4) + 2)**2*-2 + 0.\nAnswer: -62*sqrt(3) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -430 - -1399. Suppose 273 = 4*s + n. Let q be (-4)\/(-10) + s\/(-15). Solve 2*h - 2*b = 4, 3*h - b - q = -0*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 12410101?\nAnswer: -12410103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016785 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/140 and -53\/8813490?\nAnswer: 17626980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2+1641897433499\nAnswer: 1641897433501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21071, -42247, -63365, -84395, -105307, -126071, -146657?\nAnswer: -167035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-711)\/6)\/3*(-4 + 2). Let w = u - -20. What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 930 and 62?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212.6 and -152.494?\nAnswer: -32420.2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + (3 - 3)) - 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43709923493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 9 = 4*f, -5*f = 2*j + 35 - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -j. Let q be 2\/7 + 27\/(-21). Put j, 2, q in descending order.\nAnswer: 2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -335 + 413 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 1. Let g(f) = -3*f**2 + 4*f + 2. Let j(w) = -3*g(w) + 6*z(w). Let n(h) = 3*h**2. Give j(n(c)).\nAnswer: 81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 32 - 114*z + 32 + 114*z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 2}. What is prob of picking 1 f and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*1.15743\nAnswer: -0.1504659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251 and 218119?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14576 and 608?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:53 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**2 + 26*r**2 - 54*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*o - 461*o - 479*o - 656*o in the form i*o + j and give i.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14274 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -1133\/14. Calculate the common denominator of -14\/3 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3 + 3*f**6 - 10*f**2 - f**6 - 3*f**3 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 6. Let q be n(-7). Let l be 85\/(-15) + q\/3. Let u = l + 5. Let t(y) = 4*y**3 - 1. What is t(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 10. Let q be g(7). Let d be 9 - 6\/(q + -1). Solve m = -m + d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, 6\/107, -5, -18, -6.14, 0?\nAnswer: 6\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*o - o + 33, -o - 7 = 5*f. Suppose -2*g - 4 = -o. Let a(u) = u**3 - 2*u**2 - u - 4. Let m be a(3). Solve 0 + g = m*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**7\/140 - 11*n**4\/24 + 2*n**3\/3 + 4. Let w(b) be the third derivative of l(b). Differentiate w(i) with respect to i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)\/k*k*(k*k**8*k)\/k)\/(k*k**(2\/5)*k**(2\/23)))**25 assuming k is positive.\nAnswer: k**(295\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpflsus. Give prob of picking 1 s and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37014 divided by 226\nAnswer: -18507\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110450*s**5 - 4*s**3*y**3 + 3*s**2*y**2 - 19*s**2*y + 40*s*y**3 + 6*s*y wrt s?\nAnswer: -6627000*s**2 - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -8. Let y = 374 - 367. Calculate the remainder when f is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23273, -46589, -69891, -93179?\nAnswer: -116453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtv when three letters picked without replacement from {v: 1, f: 1, x: 1, t: 4, r: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221232 + -243331?\nAnswer: -1020113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 14*h**3\/3 + 3*h**2\/2 + 6*h - 10. What is the tens digit of w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g + 42 = 2*v, -2*g = 2*v - 30. Suppose v = 9*j + 1. Suppose -3*q = -l + 2*l - 169, -j*q = -5*l - 124. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1971 (base 10) to base 7\nAnswer: -5514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*d = -2*f + 1555, -9686*f + 9684*f + 20 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37532 - -99509. Let u = 32277 - f. Round u to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23288120 rounded to the nearest ten thousand?\nAnswer: 23290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*u - 92*u + 21 = -3*w, 2*u = 52*w + 148 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-30) - (0 + (-760)\/3). What is the highest common factor of 819 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 4*q + 7. Let k be o(3). Let r(c) = -c**3 - 3*c**2 + 3*c - 2. Let p be r(-4). Sort 5, k, p in descending order.\nAnswer: 5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - 25 - (0 + -12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66372 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 + 1 + (0 - 1). Let n(f) = 3*f**2 + 34*f - 9. Let t be n(-12). What is the highest common factor of t and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:08 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/70, 2\/3, 0.2.\nAnswer: 3\/70, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 3, s: 2, h: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(110) - -1*sqrt(110) - sqrt(110))*1 + sqrt(110))\/(sqrt(90)*-1) - ((-1 + sqrt(396) + sqrt(396))*-1 + sqrt(396))) + -2)**2.\nAnswer: -256*sqrt(11)\/3 + 45092\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000613871 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 10, -5*o - 2*f + 91 = -0*f. What is the second derivative of o*d - 6*d - 29*d**4 + 14*d wrt d?\nAnswer: -348*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2017379)\/(-40222) - 50) + 108\/(-51) + 2.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 6)*(-706*a + 1090*a + 1033*a).\nAnswer: 4251*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400330530 (base 6) in base 16?\nAnswer: 66ef16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + 4*-2*sqrt(75) - (2*(-5 + sqrt(75)*1))**2).\nAnswer: -402 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -110*s**3 + 41*s**2\/2 + 3*s - 41. What is the second derivative of t(k) wrt k?\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, 2, 7495 in descending order.\nAnswer: 7495, 32, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = -4. Let r be 3 - ((-2)\/g - 0). Let s(c) be the first derivative of c**2\/2 + c + 17. Calculate s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.75 + -5.7493953. What is n rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = -4*m, -4*k + 3*k - 5*m = -2. Let u(z) = -2 - z + k. Let a(g) = -g**3 - 5*g. Let x(q) = 6*q**2 + 2*q + 1. Let j be x(-1). What is j*u(r) - a(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -20, -43, -74, -113?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1414 = -4*v, 5*v + 5638 = -4*y + 3*v. Let g be (-48)\/1*y\/(-40). Let r = g + 1092. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92607398760 to the nearest 1000000.\nAnswer: 92607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 2*u**4\/3 - 3*u**2 - 29839*u. Let k(a) = -8*a**2 + 7. Let w = -9 + 2. Determine w*z(j) - 6*k(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1916 + 823 = 3*p, -5*p - 1657 = -3*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p + 32. Suppose -46 = -2*m - 4. Calculate the remainder when m is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336799980 + 8.668\nAnswer: -336799971.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = -20. What is the highest common divisor of 52 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 94b96?\nAnswer: -94b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, o: 1, x: 1}. Give prob of sequence oxvo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.2 + 7. Let q = s + -0.7. Let j be 3\/(-2)*8\/(-66). What is the third biggest value in q, 2\/3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 2. Suppose 3*v + 2*x = 6*x - 4, 0 = 3*x - 3. Let c = v - -6. Suppose -3*a + 0 = c. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 34, 53, 74, 97, 122?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19351?\nAnswer: 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 4. Let b(z) = 6*z**2 + 8. Give 4*b(d) - 9*s(d).\nAnswer: 6*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 11*j = 2*n + 12*j + 7, n + 28 = 4*n - 4*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/123 - 32\/(-6) - 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 25. Let q be x(8). Let i = 184 + -183.7. Which is the third biggest value? (a) 2\/5 (b) q (c) i (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 16*t**2 - 42*t + 21. Let o be j(-13). Suppose 31*n = 21*n + o. Solve 0 = -3*g - n + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8857.4097 - 45595.4079. Let c = 36735 + k. Let p = -3 - c. What is p rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*j = -24*j + 64*j - 3180 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -2*t**3\/3 - 25*t**2\/2 + 9*t. Is a(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**2 + 38*q + 9. Let o(c) = -5*c**2 + 19*c + 4. What is 4*l(m) - 9*o(m)?\nAnswer: m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -53.00000035. Round v to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuhuvco. What is prob of picking 1 h and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/7 + 156*w**2\/7 - 962*w\/7 - 10956\/7 = 0 for w.\nAnswer: -83, -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -0.5 (c) -1\/5 (d) -3\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -190, -195?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -5 - 5 - (-10 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 408409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 - 1. Let x be t(-1). Suppose 2*n = x*r - 27, n + 4*n + 25 = 4*r. Is -1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 11*d**3 + 1 + 27*d - 7*d + 19*d**3 - 16*d to k*d + q*d**2 + u*d**3 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1509120 divided by 188640.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h + 23. What are the prime factors of l(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38809634*k**2*w**4 - 1126*k**2*w + 46*k + w**4 + 90 wrt w.\nAnswer: -465715608*k**2*w**2 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/8 - -2)\/(2\/(-6952)). Let a = y + -830. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b)\/b**3*b**(2\/5)*b*b**(3\/4))**(-3\/41) assuming b is positive.\nAnswer: b**(-9\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, -3, 7 in increasing order.\nAnswer: -3, 3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/6 + z**3\/2 - z. What is c(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.64058 * -18.2.\nAnswer: -357.458556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 4035 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.695141 to one dp.\nAnswer: 432.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, 5, -0.1 in decreasing order.\nAnswer: 5, 0.4, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/(5328\/(-2304)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 229, 264, 299, 334?\n\"Answer: 35*l + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5070760.1000012 - 5070761. Let r = i - -0.9. What is r rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3909 = 2*r - 10754, 0 = 5*f - 4*r - 73413. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 4*p + 22 = -24*s, -5*s = -5*p + 20 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*a = -17958, 52*a = -2*b + 47*a + 7179. What are the prime factors of b?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -489844.\nAnswer: 489843.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2767026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 8*b = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-15))\/(6 - 3604\/595). Which is the second smallest value? (a) 147.9 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1836 + 1838. Solve -q = 22*o + 196 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*g - 15 + 29, 0 = 5*n + 2*g - 78. Solve -3*t - n = -1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2880 + -2649. What is the smallest common multiple of 210 and q?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 - -159. Which is smaller: u or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1386)\/14)\/(-1 + 3 + 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*10\/6. Suppose 0 = q*o + g - 350, 5*o - 4*g - 341 = 9. Suppose -w - 3*k - 2*k - 9 = 0, -o = -5*w - 2*k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291.622 - -87653.3?\nAnswer: 88944.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqqw when four letters picked without replacement from {v: 3, w: 3, q: 7, z: 2}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22619 - 18?\nAnswer: -22637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 670 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z + 7. Let d be g(-11). Suppose 79*l - 24 = d*l. Solve -l*s = -h - 13, -5*h - 12 = -3*s + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/576635?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1344 - 227. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*205630\nAnswer: -123378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219079*p**2 - 138011*p wrt p.\nAnswer: 438158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11128592 is divided by 2782146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*(-75)\/(-250).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - o + 10 = 0, 5*t + 4*o + 29 = 1. Let q(a) = -6*a**2 - 2*a - 1. Let k(u) = 5*u**2 + 2*u + 2. Let h(f) = 5*k(f) + 4*q(f). Does 14 divide h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0.21 (c) 9 (d) 5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8030 divided by 942.\nAnswer: -4015\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 53*-24\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146.71 + -0.71. Let z = 146.0000063 - p. Round z to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v. Let g be a(2). Suppose 40 - g = -3*h - 5*w, -h - 12 = 2*w. Let q be (4 - h)*(1 - 0). Solve -m - q = d - 4*m, 4 = 2*d + 4*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -32.66. Let l = -0.14 + c. Let q = 0.6 - -1.4. What is the second smallest value in l, -3\/5, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -275456?\nAnswer: -275458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**6\/6 - d**5\/4 + 13*d. Determine q so that v(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (0 + 5 - (311 + -299)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2742 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (4 + -11) - -1 - -29\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45805 - -66792. What is the greatest common factor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 11*j - 12. Let r be t(3). Suppose r - 29 = -2*f. What is the biggest value in 0.4, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 2860?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1136*p + 792. Let f(v) = 64*v + 1. Let w(a) = -8*f(a) + s(a). Differentiate w(n) with respect to n.\nAnswer: -1648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:32 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*x**3 + 301266770*x - 301266770*x.\nAnswer: -472*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 16) in base 14?\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1 - 9*r**2 + 5 + 7*r + 10*r**2. What is the remainder when 23 is divided by t(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/33)*a**(-1\/27))**(15\/4)*(a**1\/(a\/(((a*a*a\/(a**(-1)*a))\/a)\/a)))**(-1\/17) assuming a is positive.\nAnswer: a**(-2861\/6732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1876)\/(-2010))\/((-112)\/(-408))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 3*k**2 + 6*k**2 - 88 + 2*k**2 + 184.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.8255896 rounded to one decimal place?\nAnswer: -143.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2689706280735667072163\/619836 - -4339383773670735. Let m = 326\/22137 + i. Let k = 2109 - m. Calculate the common denominator of 43\/12 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -55*r**7\/42 - r**5\/10 + 17*r**4\/12 - 5*r**3\/3 - r + 111. Find the third derivative of m(u) wrt u.\nAnswer: -3300*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 534483180?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*60*26\/(-520).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*l + 10399 = -154*l + 25687 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-2 - 2)*(-3)\/(-6)). Suppose l = -c + 19*c - 64098. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 68 = -2*u + 88, 3*s - 5 = -4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 18, 12, -12, -60?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(0 - (-3)\/6). Let s = p + 12. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 11. Let s(h) = -2*h**2 + 2*h - 2. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*f - u, -5*f - 57 = 5*u - 7. Let z(w) = w**3 + 8*w**2 - 6*w - 12. What is z(f)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, e: 1, f: 10, u: 1}. Give prob of picking 3 x and 1 u.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3620334 to four decimal places.\nAnswer: 0.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -915478, -915474, -915468, -915460?\nAnswer: -915450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 18*r**2 + 20*r + 1. Calculate f(-19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 17 = 26. Let b be 1\/((-8728)\/2908 - -1*x). Let i = -431 - b. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:49 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m - 2\/3*m**2 + 0 = 0?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 20892 (c) -1 (d) 10 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/((-156)\/2680)*(-3222)\/(-15)?\nAnswer: 2, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 99 = -3*u + 5*p, 0 = 5*u + 3*p + 173. Let f = u - -117. Let m = f - 39. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -14602 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*264\/(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 20 + 13. Let u be 1*(0 + -2 - w). Suppose -3*s + u = 3. Solve -5*p = -h + s, 1 + 0 = 5*p - 2*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 11*w + 53075 = 0. What are the prime factors of w?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 4*r**3 + r**3 + (1 - 1 - 1)*(2*r**3 - 2*r**2 + 2*r**2) + 3*r - 9*r**3 + 7*r**3 - 4*r.\nAnswer: -5*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1286.0252 + -1264.88. Let x = o + -0.1252. Round x to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -40*w + 52*w. Calculate the remainder when (-1 - (w + 5 + -5)) + 70 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -4*s**7\/105 + 2*s**6\/15 - 3*s**5\/20 + s**4\/12 + s**3\/2 - 2*s**2. Let k(h) be the first derivative of v(h). Factor k(a).\nAnswer: -2*(a - 1)*(4*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25817 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 p(y) = y**2 + 10*y - 6. Suppose 220 = -8*s - 14*s. Determine p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 + ((-12 - -13) + -5 - 9))) + 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/42)\/(10\/7)*2\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(3 + -6)*16\/(-20). Solve 4*q + n - w = -3*n, 4*q - 5*n = 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 5*x + 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 127.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*j - 641, 4*f - 6*f = 3*j - 994. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27712, 25302, 22880, 20440, 17976?\n\"Answer: -b**3 - 2403*b + 30116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194998333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94, 120, 146, 172, 198?\n\"Answer: 26*b + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213 - 341?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 - 7*v + 13. Let n be b(-8). Let a be (-4)\/8 - n\/(-2). Suppose -2*d + 5*m + 605 = 0, -m - 295 = -3*d + a*d. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -0.5, -4\/21, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654206889?\nAnswer: 3, 7, 193, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 13419552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/(1 + (-1)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 38*k**2 + 281*k + 815. Calculate y(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -546 + 280. Let t = 40629301574 - 40629301839.99999837. Let f = t - q. What is f rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 27*z**2 + 30*z - 65. Let f be d(26). What is the third derivative of 241*q**4 + q**2 + f - q**3 - 6 - 127*q**4 + 0*q**3 wrt q?\nAnswer: 2736*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844656 is divided by 922309.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:23 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(136)\/(sqrt(8)*1) - sqrt(17)) + sqrt(51)\/(2*sqrt(3)) + sqrt(612) + ((-2*sqrt(612))**2 - sqrt(612)).\nAnswer: sqrt(17)\/2 + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -6*y - 5*g, g = -2*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 1. Let k be s(4). Let c be 0 + 2 - 1 - -1. Suppose k*w - 6 = -z - 0*z, w - c = -z. Is w at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188425769 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -336\/13 - 340\/13*j**2 + 674\/13*j + 2\/13*j**3.\nAnswer: 2*(j - 168)*(j - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-2)\/1 + 7. Let r be (y + -1 + 2)\/2. Suppose -k - u + 5 = -0, 0 = -r*k + 2*u. Solve k*a - 3 - 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose -s + 4*u = -0*u + 1, -4*s - x*u + 15 = 0. Find the first derivative of -4*o**3 - 2 - 1 + s + 5 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 8*s + 9. Let l be -2 + 45\/(-2)*12\/(-9). Suppose 2*o + 2*u - 16 = 0, o + u + l = 6*o. What is k(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 561345?\nAnswer: 561362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1002+12269.6\nAnswer: 13271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1475 divided by 75\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 3*f**2 - 4*f**2)*(-29*f + 12*f - 4*f).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120202 - 210?\nAnswer: -121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/((-42)\/56))\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000830221 to five dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96139949*m**4 + 67991522.\nAnswer: -384559796*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2215271 (base 13) to base 3\nAnswer: 201122012202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3 + 32. Suppose -v = -2*k - 1. Let m(x) = -x**3 + 2*x**2 + x + 1. What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000472 to 6 decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vvvvvvvvyvvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 16. Suppose -3*x + 5*t = -p, 3*t = x - t - 13. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 - 15*a - 66. Let j be y(-5). Let z = j + -229. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -385 + 791. Differentiate -22*q**4 - q**2 - 7*q**4 + 8*q**4 + 442 - l with respect to q.\nAnswer: -84*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 252*x + 54. Let c(o) = 23*o + 5. Let q(f) = 54*c(f) - 5*j(f). Let d(n) = 4*n. Give d(q(m)).\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.7 + 30.9. Round b 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 2540619880.\nAnswer: 2, 5, 31, 2048887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5 = -5*x, 5*x - 2*d = 2*x - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131736031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 505*u\/4 - 15871.\nAnswer: -(u - 269)*(u - 236)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwxf when four letters picked without replacement from fwffffwffwmiwxfxw?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76\/7 in -2, -594.6, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7098 and 1248?\nAnswer: 113568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/85503181 + -790049358866\/1435341899447. Let i = 154832563\/25180500 - j. Let k = 48\/125 + i. What is the common denominator of -65\/18 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-2)\/(-3). Let l = 1 + j. Let g be 6\/(-9) + (-141)\/(-9) + -6. Solve 2*f + l = -g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuwf when four letters picked without replacement from {f: 4, c: 1, w: 2, u: 3, e: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 214.8 + 197.6. What is a rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-10\/9)*k\/(k**(5\/8)*k) assuming k is positive.\nAnswer: k**(-53\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1242? (a) 3 (b) -0.4 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(416)\/sqrt(2) + -3 + sqrt(117) + -1 + sqrt(117) + -3) + -3)**2.\nAnswer: -3200*sqrt(13) + 33524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 5. Let h(o) = -11*o**3 + 2*o**2 - o. Let j be h(1). Let n = -33 + 19. Let t = j - n. Give d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + 11 + -23 + 4 + -13.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + b. Let a be d(-1). Let s = -1 + a. Let k = s + 2. Solve 0*x - k*x = 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 - 2*q**2 - 2*q**2)*(9 - 19 - 14)*(-q**2 + 0*q**2 - q**2).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 6 - 11)*(6 - 2 - 5) + 0 - 5 + 6 + (5 - 4 - 2)*(-2 - 3 + 1) + (-1 + 1 - 3)*(1 - 5 + 3))*(-2 - 2*w + 2).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d - d**5 + (0*d + d + 0*d)*(4*d**3 - 4*d**3 - d**4) + 4*d**2 - d**5 - 4*d**2 + (7 - 3 - 3)*(-2*d**2 - 4*d**5 + 2*d**2).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -109 - 731. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 16*k**2 + 11*k - 30. What is the tens digit of g(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 2*f + 5. Let x(k) = 3*k**2 + 2*k - 6. Suppose 2*i - 13 = 2*q - q, 0 = -q - 5. What is i*x(t) + 5*z(t)?\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.29 + -1.39. Let f = 0.64 + 0.06. Which is the nearest to w? (a) f (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177904283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69001 + 68998 - 11*g**4 + 3*g**2 + 141*g**4)*(-4*g + 5*g + g).\nAnswer: 260*g**5 + 6*g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30787, -61574, -92361, -123148?\n\"Answer: -30787*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25167*n**3*q**2 + 4*n**2*q**2 - 1490*q**2 wrt n?\nAnswer: -151002*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2*u - 1. Let b be c(-4). Suppose 5*p + 2*f + b = -10, 2*p - 2*f = -18. Let t(m) = -3*m**3 - 5*m**2 + m + 12. Is t(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n**(-1\/3)*n))\/n)**(-2\/39)\/((n**(-1\/3)*n*n)\/n**(4\/7)))\/((n*(n*n*n*n**(-3)*n)\/n*n*n)\/(n*n**(-3\/5)*n)*n**(1\/7)*n*n**(-7)) assuming n is positive.\nAnswer: n**(12878\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88 from 1339.\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46353*g**5*r + 2*g**4*r + 281*g - 54*r wrt g.\nAnswer: 927060*g**3*r + 24*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002990187 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 59*s**3 - 1 + 3*s - 17*s**2 + 50*s**2 - 19*s**2 - 20*s**2. What is the hundreds digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y + y + (-4 - 3 + 4)*(4*y - 4*y + 2*y) + 2*y - 2*y + y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5 = -u, 0 = 4*u + v + 2 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*t - 43, 5*n = 7*t - 8*t + 2. Solve 14*d + t*d - 62 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((2 + sqrt(98))*4 - sqrt(98))**2 + (-1 + sqrt(98))*-5).\nAnswer: -2853 - 903*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324805 and 4940?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351 - 949 + 468)*(1 + 1 - 3)*(0 - 2*o**2 + 4*o**2 - 1).\nAnswer: 260*o**2 - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4332 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -869 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 = 1289\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let c(q) = -q - 1279. What is w(c(y))?\nAnswer: -2*y**2 - 5116*y - 3271682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Let s(q) = -w - 2*q + q + 4 - q. Determine s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.48078 to one decimal place.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12235021 and 562?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -8*d + 7*d + 11, 2*x - 20 = -4*d. What is the second derivative of 2 + 28*o**x + 0*o**5 + 3*o**5 - 7*o**5 + 4*o**5 - 2*o**5 + 2*o wrt o?\nAnswer: -40*o**3 + 336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1247 or 1?\nAnswer: -5\/1247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415899349 + -415899690.9999504. Let t = z - -342. Round t to 6 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-46)*-1*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 27\/(-12) - 7\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 8, o: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431 + 444?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32141 (base 8) to base 14\nAnswer: -4c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 476, 475, 474, 473?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7307?\nAnswer: 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - m + 14 + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -317*o + 1579. Let m be w(5). Let l(x) = 32*x**2 + 17*x - 11. Let s(b) = -11*b**2 - 6*b + 4. Calculate m*l(h) - 17*s(h).\nAnswer: -5*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 3, q: 2, s: 2, l: 4, n: 4}. What is prob of sequence ss?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000308487 rounded to six decimal places?\nAnswer: -0.000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100110110303020 + -11?\nAnswer: 100110110303003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52290 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 - 5) - (1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - 34. Let u = l + 171. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3377a (base 12) to base 8\nAnswer: 205616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Let k = 1.08 + -2.15. Let t = 0.07 + k. Which is the third biggest value? (a) t (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 4*y - y)*(3*y + 2*y**3 - 3*y)*(2*y + 0*y - y) + (-3*y**2 + y**2 + 6*y**2)*(y**3 + y**2 - y**2) - 3*y**5 + 2*y - 1 + 1.\nAnswer: 15*y**5 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-66)*20\/(-50). Let m = 0.7 + 4.3. What is the closest to 2 in s, 3\/4, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 35*n + 823. Calculate the remainder when t(-33) is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 630, 639, 648, 657, 666?\n\"Answer: 9*y + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000555848 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = -5*j, -3*q - 3*j - j = 34. Let u be 3 + 3 + 24\/q. Suppose -5 = -2*t - 5*l, -4*t + 26 = -5*l + 1. Sort 6, u, t in descending order.\nAnswer: 6, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 10)*(-2 + 4 + 2)*(26*i + 45 - 45)*(-3 + 3 + 2).\nAnswer: -1040*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 318*q - 159*q + 21*q - 2 + 2 + 6*q + (-2 - 1 + 2)*(0 + q + 0).\nAnswer: 185*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/7))\/k**(-4\/7)*(k\/k**(-1\/3))**16)\/((k**7*k*k*k\/(k\/((k\/k**3*k)\/k*k*k)))\/(k**3*k*k**2)) assuming k is positive.\nAnswer: k**(424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/18 - 56*l**3\/27 + 7*l**2\/3 + 36*l - 7583. Suppose y(u) = 0. Calculate u.\nAnswer: -2, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/504 - (-4 - (-175)\/42).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-14 - (14 - 28))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 + -2.4. Which is the smallest value? (a) 2 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -1)*-2 - -1. Solve 6*y - k*y - 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3 - 4 + 2 + y. Let h(m) = m - 1 + 4 - 7. Calculate -5*d(u) + 6*h(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (7 - 2) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 5. What is the remainder when 51 is divided by c(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12938\/17 + -758. Do s and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 414.2 + -416. Which is the biggest value? (a) t (b) 2\/7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) -3\/5 (c) -72 (d) 352.3 (e) -4 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448039?\nAnswer: 19, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 5*m**2 - m + 21. What is c(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33399866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25548, 51094, 76640, 102186, 127732, 153278?\nAnswer: 178824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a50 (base 13) in base 2?\nAnswer: 1110111010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128655 and 6?\nAnswer: 257310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69.08 - -69.162. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 9. Suppose -86 = -17*n - 18. What is the third derivative of -34*b**2 + 170*b**3 + b + 2*b - 180*b**3 - n*b**p - 2*b wrt b?\nAnswer: -240*b**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.360616 and 0.3.\nAnswer: 0.4081848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 2589*a + 33450. Determine m(-13).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5850708640 to the nearest 1000000.\nAnswer: -5851000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150051016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1.9, -18\/5, -0.04 in descending order.\nAnswer: 0, -0.04, -1.9, -18\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5 - 13947*y**4 + 11705061*y**3 + 10469252811*y**2 + 1696355914008*y + 1685898380208 = 0.\nAnswer: -287, -1, 2612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 3:12 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*k + 38 = 21, k - 2 = 0. Solve -2*f = -3*x + 5, -2*x = -t*x + 5*f + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254275?\nAnswer: 5, 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7390, -14587, -21784, -28981, -36178?\nAnswer: -43375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 4*s**2 + 2*s**2)*(-1 + 3*s**3 + 1) + 75*s**3 + 26*s**5 - 75*s**3.\nAnswer: 23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 865*n - 4 + 10.\nAnswer: 865*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 + 177 + 13*o + 62*o - 91 to w + b*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053 - -219150355463.\nAnswer: 219150355463.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8797 is divided by 977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*t - 4. Let y = 6 + -10. Which is the second smallest value? (a) 1 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42433.7604 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1497 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 14*h**2 + 7*h + 12. Let t(k) = 49*k**2 + 15 - 4 + 7*k - 34*k**2. Let s(o) = -5*i(o) + 6*t(o). Is s(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqpqpppqpqpq. What is prob of picking 2 q and 1 p?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/3, 0.4, -1\/3, 382, 3, 1\/23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3818128152 to the power of 1\/2, to the nearest integer?\nAnswer: 61791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 19*p**2 - 2*p - 37. Calculate the lowest common multiple of (-2 + 3)*(2 - -7) and k(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139071*g**2 - 46*g + 1218.\nAnswer: -278142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-5\/4)*y*y*y)**(1\/16) assuming y is positive.\nAnswer: y**(19\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224 times 1?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11)\/(121\/(-99)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6600 (base 11) to base 12.\nAnswer: -5060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + n = -143 + 133, -5*m + 4*n = 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 305 in -391, -0.04, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9058 and 34930?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312\/7*l - 64\/7 + 688\/7*l**3 - 1860\/7*l**2 - 76\/7*l**4 = 0. Calculate l.\nAnswer: 1\/19, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.11587s in days?\nAnswer: 0.001100878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-486)\/(-21) - 3\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*j + 24 = 0, -4*l + j = -2*j - 14. Let h be 8\/(-4) + 4\/2. Suppose -6 + h = -2*t. Solve -3*d = 5*i - t*i - 11, -l*i - 5 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/15)*j)\/j**(-9))\/(j*j**1)**(-7) assuming j is positive.\nAnswer: j**(388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1282 * 0.07\nAnswer: -89.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12884136 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m. Let x be q(3). Let g = -6 - x. Let v(j) = 24*j - 7. What is the remainder when v(g) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2141\/60 at most -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 32*s**2 + 91*s - 1860. Let i be h(31). Let u = -6\/46625 + 4383716\/7506625. Let o = -3\/23 - u. Which is bigger: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 86338980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b**3 - 37*b**2 + 37*b**2)*(0 + 5 - 1)*(0*b**2 + 3*b**2 + 3*b**2).\nAnswer: 360*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/22626 and 13\/171371.\nAnswer: 9254034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 - 946*v**4 + 222781*v**3 + 448404*v**2 + 224676*v = 0.\nAnswer: -1, 0, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012213 - -14?\nAnswer: -1012144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/720 - d**4\/12 - 3*d**2. Let r(n) be the second derivative of j(n). Let z(f) = 2*f**2. What is z(r(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8625 - 8620. Solve 7 = 3*u - 2*j, j - n + 13 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(416\/156) - (-82)\/304.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611*r**5 + 2*r**4 - 2*r**3 - 43752*r**2.\nAnswer: 36660*r**2 + 48*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5\/15 - 66*u**4\/5 - 1018*u**3\/15 + 774*u**2\/5 + 2946*u\/5 - 324 = 0.\nAnswer: -5, -3, 1\/2, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 7. Let p = -10 + n. Suppose p = 3*h - 94 + 7. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1072 and 101\/2996.\nAnswer: 802928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyjuujzuuuuuuuyuuuu. Give prob of picking 1 j, 1 z, and 2 y.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 4789, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**21*(q**(2\/5))**(-47) assuming q is positive.\nAnswer: q**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 78. Let y be (-78)\/(-15) - (-4)\/t. Factor -y*r**2 + 57 - 20 - 22 - 10*r.\nAnswer: -5*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1012021201?\nAnswer: -1012021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1453, 2909, 4369, 5833, 7301, 8773, 10249?\n\"Answer: 2*n**2 + 1450*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1542 rounded to one decimal place?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(133)\/(sqrt(84)\/(2*sqrt(12)) + sqrt(7)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 27. Let p(i) = 2*i + 128. Let u(a) = 13*a + 484. Let r(w) = 4*p(w) - u(w). Give 5*r(l) - 4*s(l).\nAnswer: -l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632631 = 5*h - 1286709. Let g be 2057212\/(-6) - 6\/(-9). Let f = g + h. Round f to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.741486 litres to millilitres.\nAnswer: 741.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.06. Let v = 7.3 + -0.3. Let i = v - 6.6. Which is the third biggest value? (a) 3 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -57, -2.\nAnswer: -57, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 4*k**2 - 12*k**2 + 7*k**2 + 2 - 4*k. Let n be v(0). Sort n, 5, -2, -10 in descending order.\nAnswer: 5, n, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26710685 divided by 19.\nAnswer: -26710685\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 7 + 5 + 6 + -9. Solve 3*s + 29 = x + o*s, 0 = -2*x - 4*s + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 8. Let t(f) = f**3 + 5*f**2 + 3*f - 2. Let l be t(d). Let g be 12 - 5 - l*1. Solve 0 = 5*y - g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + 3*x)*(-2*x**2 + x**2 - x**2).\nAnswer: -6*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/38613124 and -81\/3510284.\nAnswer: 38613124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2967574.\nAnswer: 2, 1483787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*o - 87, 3*o - 5*n = 35 + 44. Suppose -s + o = r - 4, -5*s = 4*r - 92. What is the common denominator of -1 + 50\/r - 1 and -59\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -165*v. Let r(z) = 121*z**2 - 18. Determine m(r(w)).\nAnswer: -19965*w**2 + 2970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81*2\/(21 + 19 + -34).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (3 + sqrt(612))*5 - (2 + (sqrt(612) - sqrt(612)*2)**2).\nAnswer: -599 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.276717 litres in millilitres?\nAnswer: 1276.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797 + 2931*u - 1587 + 790 - 2938*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 - (-94)\/(-18). Suppose 51 + 649 = 25*o. Let p = j + o. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84018 rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f = 72*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 27, 64, 117?\n\"Answer: 8*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3565, 7141, 10709, 14263, 17797, 21305, 24781, 28219?\n\"Answer: -y**3 + 2*y**2 + 3577*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Factor -2*a**2 + 0*a**3 + 8*a**2 - 5*a**3 + 9*a**n.\nAnswer: -5*a**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -34\/7, -2\/3, 463, 0.1?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**3 + r - 1. Suppose 0 = i + h + 1 - 3, 2*i = -5*h + 7. Let l be s(i). Let k = 742 - 740. Put -8, k, l in descending order.\nAnswer: k, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7551146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 6}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 166300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045791 to 7 dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -646379 (base 13) to base 11.\nAnswer: -1369a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74417828 a multiple of 3574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 6, f: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*c + 4. Suppose 0 = -k - 5*b + 2, -5*b = -5*k - 0 + 10. What are the prime factors of (c + 1)\/(k\/(-62))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 - 10*k - 5. What is a(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45021 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 91*-1*66\/(-7). Let f = -7714\/9 + b. What is the common denominator of 17\/10 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = 34*c + 95. Let t(p) = -p**2 + 65*p - 58. Is 17 a factor of t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in -3, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1404)\/585 + 104\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13508062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 420*w + 7650. What is u(-19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002229908.\nAnswer: 2, 3, 29, 2879971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*t - 75*t + 44*t.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*z + 138 - 138)*(2 - 1 + 1) + (-3 + 3 - 1)*(-z + 0*z - z) in the form m + x*z and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(144\/(-5))\/(-6). Let v = 19 + c. Let r(o) = -3*o**3 + o**2 - 3*o - 2. Is r(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 6*c - 4. Let a(x) = x**2 - 5*x + 3. Let f(r) = 3*a(r) + 2*h(r). Let g(d) be the first derivative of f(d). What is the units digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -30. Which is the third smallest value? (a) v (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 20. Let y(a) = a**3 - 8*a**2 + 8*a + 6. Let d be y(6). Let m = d + 28. What is the greatest common factor of m and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.001\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 9 + -2 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from aaayyya.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2071*p - 12 + 10 + 7 - 5)*(3 - 31 - 14).\nAnswer: 86982*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 286*q**3 + 1288*q**2 + 12616*q + 11040 = 0.\nAnswer: -4, -1, 10, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 61*m - 56*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-66)\/39)\/((290\/(-16))\/(-5)). Let f = v - -18\/29. Which is bigger: f or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3028 by 1514.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -346, -1, -2, 27, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 3471.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271.99999492 + 272. Round k to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 13\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9096.8436 + -127140.2054. Let q = g - -136303. Let m = 66 - q. What is m rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23300 + 0?\nAnswer: 23300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 168446, 168420, 168368, 168284, 168162, 167996, 167780?\n\"Answer: -x**3 - 7*x**2 + 2*x + 168452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(1 + m - m - 2*m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.5515 rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 13*b**2 - b**3 + 3*b**3 + 5*b**2 to j*b**3 + f + p*b + r*b**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -26*z + 4264. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - x + 33 - 7, -5*v - 50 = 5*x for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 2 m when four letters picked without replacement from {b: 7, e: 1, h: 5, c: 1, z: 1, m: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2810234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/(3\/(-12) - 0\/23). Let f(k) be the second derivative of -1\/24*k**6 - 1\/4*k**5 - 37*k - 25\/48*k**o - 5\/12*k**3 + 0*k**2 + 0. Factor f(u).\nAnswer: -5*u*(u + 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 7*q**3 + q + 0*q**2)*(2*q + q - 2*q + (-4 + 4 + q)*(4 + 4 - 6) - 2*q + 1 - 1).\nAnswer: -7*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(4 + 2*i**2 - 4 + (4*i + i - 4*i)*(-3*i + 6*i + 4*i) + (19 - 4*i**2 - 19)*(-2 - 2 + 2)) to g*i + h + z*i**2 and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -10.702.\nAnswer: -203.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -2.1. Let i = -0.91 - 0.09. Let h = f + i. Sort 1\/4, h, 4 in decreasing order.\nAnswer: 4, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -313090 and -654?\nAnswer: 204760860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 9*d + 41*d. Solve 42*w = 47*w - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2962*v**2 + 2964*v - 4. Give g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10448954.7517 - 0.087\nAnswer: 10448954.6647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1670396243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 43*y**2 + 15*y**3 - 4*y - 5 - 14*y**3 + y - 55*y**2 to the form w + i*y + f*y**2 + l*y**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 125 - 131. Solve 2*n + n = -v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44442 to three decimal places.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346693 to the power of 1\/2, to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10510, 10756, 11002?\n\"Answer: 246*f + 10264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}