diff --git "a/data/dm_maths/full_data_1/2538_11255.jsonl" "b/data/dm_maths/full_data_1/2538_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2538_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 715 minutes before 8:03 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -617 - -3?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 11. Let x be (-4 + 1)*(-4)\/24. What is the third biggest value in x, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 2*q - 7. Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - 4. Let d = -7 - i. Round d to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 5, -6\/11, 118, -57, 6, 1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85a78d - -5?\nAnswer: 85a794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0 - -509)*(-6)\/(-15). Let j = 210 - o. Calculate the least common multiple of j and 1\/(-3) - (-88)\/3.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2263*g**2 - 1460*g**2 - 7322*g**2 - 5542*g**2.\nAnswer: -16587*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 12*k**2 + 22*k - 89. Give y(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 278877*g - 278878.\nAnswer: (g - 1)*(g + 278878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -29*x**2 - x + 2. Let y(a) = -a**2 - a. Calculate -i(k) + 3*y(k).\nAnswer: 26*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c + 26ff4?\nAnswer: 27030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1, 229, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 57. Suppose -l = -2*q + 3. Solve i = -q*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 28*f - 9. Let p be (0 - f)\/(-3)*0. Let o(c) = c**3 - 6*c**2 + 4. Let r be o(6). Solve p*i - r*i = -16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.51 - 60.09. Let y = x + 67. Sort -0.3, -3, y, 1 in decreasing order.\nAnswer: 1, y, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4734366079 to the nearest integer?\nAnswer: 68807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-636)\/5 + (-7)\/(-70)*2. Let s = -48 - z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*s + 190, -4*z = 7*s - 2*s - 155. Let d = 38 - z. Solve 0 = -d*f + 2 - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufc when three letters picked without replacement from {f: 2, c: 2, u: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3625*s*x**3 + 25*s*x**2 + 2*s*x + 13 wrt x.\nAnswer: 21750*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2032 and 1.1.\nAnswer: -2235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -274*t + 1255. Let s be w(20). Which is smaller: -4226 or s?\nAnswer: -4226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 divided by -1873?\nAnswer: -1609\/1873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*0.28.\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/2 + 1226*r**4 - 1961011*r**3\/2 - 6923441*r**2 = 0.\nAnswer: -3086, -7, 0, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by 4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767532 (base 10) in base 15?\nAnswer: a36757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = -20 + 104 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 26, -5, 0 in descending order.\nAnswer: 26, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 3*j**2 + 3*j**2 + (-2*j**2 - 1 + 1)*(-2*j + j + 2*j) - j**3 + j**2 - j**2)*(7*j + 2*j - 2*j).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1491654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 - 32*k + 19. Calculate d(-11).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16442875 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 36. Suppose 3*z - 58 = -2*j - 3*j, 4*z = j - 7. Let h = -16 + j. Which is the closest to -0.1? (a) h (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) 6\/317 (c) 3.89 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 4*g - 8. Let x be u(-2). What is the highest common divisor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0*l**2 - 2\/3*l**4 + 0 + 0*l**6 - 16*l - 3\/14*l**8 + 0*l**7 + 0*l**3 + 0*l**5. Find the third derivative of o(y) wrt y.\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 76 + 4017*a + 40.\nAnswer: 4017*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109266 or 109168?\nAnswer: 109168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196*b - 100 + 100)*(3*b**2 + 13 - 2*b - 13) - 2*b**3 + 0*b**3 + 3*b**3.\nAnswer: -587*b**3 + 392*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516312*c**2 - 258112*c**2 + 2 - 258190*c**2.\nAnswer: 10*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 3*n)*(11692*n - 11692*n - 154*n**2) + (4*n - 4*n - 2*n)*(0*n**2 - 3*n**2 + n**2).\nAnswer: -150*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {c: 2, e: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 = 4*f + f, -2*f - 2 = -4*a. Let z(u) = -6*u. Let w(t) = 4*t - 4*t - 5*t + 6*t. Let b(m) = a*z(m) - 4*w(m). Let q(p) = 2*p. Calculate q(b(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2\/5 - 4448248*d\/5 + 2965496\/5.\nAnswer: 2*(d - 741374)*(3*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-12 + (-1 - 2)). Let z = n + 56. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 19*z**2 + 24*z + 164. Let b be v(17). Let d(w) = w**2 + 8*w + 12. Determine d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 4 + -1 + 15 + 29 + -56.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 534*y + 13. Let a(g) = -443*g - 12. Let n(u) = -6*a(u) - 5*s(u). Let p(q) = 13*q**2. Calculate n(p(i)).\nAnswer: -156*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(-3*b**3 + 6*b**3 - 4*b**3) - 3*b**3 - 5*b**3 + 13*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6590.81 decades in centuries?\nAnswer: 659.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.82 - -2. Are -2\/3 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -1386*u**2 - 4631*u + 4827. What is the derivative of m(t) wrt t?\nAnswer: -2772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113025016 and 73266.\nAnswer: 339075048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1314, 1472, 1786, 2256?\nAnswer: 2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -407.9*-0.1\nAnswer: 40.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/32)\/(87\/696)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -7*v**4\/24 + v**3\/6 - v**2. Let f be x(-2). What is the tens digit of 159\/f + (-4)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.3608 millennia in months?\nAnswer: 7492329.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.34, -3\/5, -169, 15.1, -2\/5, 0?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47b (base 12) to base 11.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279831, -279809, -279787, -279765, -279743?\nAnswer: -279721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*d + 2*s + 2, 3*s = 4*d - 22. Suppose d*t + 2 = -2*n, 2*n - 8 = -2*t - 2*n. Let m(w) = -2*w**3 + w + 2. Is 8 a factor of m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 9*j + 3*j)*((1 + 5 - 4)*(-2 + 4 - 3) - 4 + 6 - 4 - 5 + 0 + 3) + (1 + 2 - 1)*(j + 1 - 1).\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/4, -0.18, 5 in increasing order.\nAnswer: -1, -0.18, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 36*y**4\/7 + 9452*y**3\/7 + 19872*y**2 + 27664*y = 0.\nAnswer: -247, -14, -14\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 501920068789 and 3.\nAnswer: 501920068792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3*273\/14. Let f = -21 - o. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1649.5 and -9.\nAnswer: -14845.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/48188 and -19\/10598.\nAnswer: 36478316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1557*r = -1562*r + 10185, 4*y - 8085 = 5*r. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:44 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 64*m**2 - 16*m + 16. Let s(t) = -13*t**2 + 3*t - 3. Give 3*o(y) + 16*s(y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3384\/3760 - (1 + 2\/(1*4)). What is the biggest value in 1\/4, 75\/8, r, 2\/5, 4?\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1410406l in millilitres?\nAnswer: 141.0406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**2 - 46383*y - 3589278 = 0.\nAnswer: -77, 15538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/13, -0.11, 0.135 in increasing order.\nAnswer: -2\/9, -2\/13, -0.11, 0.135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(-282))\/(3\/(-8)*-1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 r, and 1 q when four letters picked without replacement from {f: 4, r: 2, u: 6, q: 1}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -33, -50, -53, -30, 31?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7538 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o*q**2*z - o*q**2 - o*q + 33270011*q**2*z + 295*q**2 - q*z - 35239*q wrt z.\nAnswer: 3*o*q**2 + 33270011*q**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:17 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/17, -1, 0.01.\nAnswer: -1, 0.01, 36\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 + 144*t - 14*t + 82*t - 22*t - 143 + 68*t.\nAnswer: 258*t + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*o**3*q - 1032*o**3*x - 2*o**3 - 3*o*q*x - 7*q + 4 wrt x?\nAnswer: -1032*o**3 - 3*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.415899999 rounded to 3 decimal places?\nAnswer: -0.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -70. Suppose 4*x = -3*x + 595. What is the greatest common divisor of x and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-2 - -1) + 4305 + -4332?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(3*a**2 - 4*a**2 + 2*a**2) + 3*a + 5*a**2 - 3*a)*(-2 + 1 - 1).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -71670.04 to the nearest 100.\nAnswer: -71700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 4*q**2)*(-10*q + 110 - 110) + (-2*q - 3 + 3)*(-1 + 1 + 2*q)*(1 + 12*q - 6*q + 14*q).\nAnswer: -90*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Which is the closest to -0.5? (a) -0.075 (b) 4\/3 (c) -0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16284 divided by 46.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 10, 13*n - h + 7 = 8*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001206 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3663009 times 0.4\nAnswer: -1465203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 16*f + 40. Let t be (-480)\/(-27) + (-2)\/(-9). Let g be u(t). Factor 7*w + 8*w**3 - w - 14*w + w**g + 3*w**4 - 4.\nAnswer: 4*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -701 - -705. Factor 116*r**3 + 2*r**4 + r**c + 5*r**4 - 4*r**4.\nAnswer: 4*r**3*(r + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1379, -2303, -2317, -965, 2209, 7661, 15847, 27223?\n\"Answer: 76*k**3 - k**2 - 1453*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 4*y - 1. Let u(n) = n**2 - n. Let d be u(-1). Let x = d + -4. Let v(q) = 3*q**2 + 9*q + 3. Let z(p) = x*v(p) - 5*m(p). Solve z(i) = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2 - (-8)\/2). Let m(i) = k + 0*i - 3*i + 5*i - 2*i**2. What is m(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3313 + -11?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 7*t - 5. Let a be m(7). Let w = a - -9. Suppose w*f - 11 = 93. Solve -2*b + 19 = y - 7*b, -f = -5*y + 2*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4820*s + 4995*s - 11550 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*q - q. Suppose -q = -5*v + 1. Let z = v - 0. Solve -2*u - h + 3 + z = 0, -u = 2*h - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293640567.\nAnswer: 3, 11, 8898199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 5)*(-4*j + j + 2*j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, l: 5, u: 2, z: 3}. What is prob of sequence iuu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 12 = -2*z, 0 = 9*t - 7*t - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:45 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -8*i - 1\/2*i**2 - 4 - 7\/3*i**3 - 1\/4*i**4. Give v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -2 (c) 11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 1 + -4 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 9285*m**2 - 18550*m.\nAnswer: -5*m*(m - 1855)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 5 = 0. Let c be (-3 + 6)\/3*y. Is c < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.2929 rounded to the nearest integer?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125577 (base 9) in base 13?\nAnswer: 183808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g**3*j**2*y - 2*g**3*y**2 - g**2*j**2 - g**2 + 36*g*j**2*y**2 wrt g.\nAnswer: 108*j**2*y - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/7 of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 176\/3704835 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 604, 1473, 2336, 3193, 4044, 4889, 5728?\n\"Answer: -3*p**2 + 878*p - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*36053.\nAnswer: 10815.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 368434375*b**2 - 6787194249864840*b - 6787194618299220.\nAnswer: -5*(b - 36843438)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*387\/(-12))\/(11*(-8)\/(-6336)). Calculate the greatest common divisor of 344 and r.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 74 = 270 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 3*d - 3. Let a be q(-1). What is the greatest common divisor of 66 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 462783511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/2867 and 27\/47.\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 12*y = 0. Suppose 4*p - 106 + 25 = -v, 4*v + 3*p - 259 = y. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 545415203?\nAnswer: 545415155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(7\/(-21) + 2\/6). Suppose v = -4*k + 45, z = -k + v - 4 + 14. Solve k = -5*r - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -5?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1503 - 4406?\nAnswer: -6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/104, 6, -1 in ascending order.\nAnswer: -1, 0, 3\/104, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 85663, 685304, 2312865, 5482306, 10707587, 18502668?\n\"Answer: 85660*a**3 + 21*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5\/7 - 4*d**4\/7 - 3336*d**3\/7 + 38152*d**2\/7 + 476*d - 38148\/7 = 0. What is d?\nAnswer: -33, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58191 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: Calculate the lowest common multiple of 75941940 and 121507104.\nAnswer: 607535520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -3*k**5\/20 - k**3\/2 + 79*k**2. Let h(b) = 4*b. What is h(d(t))?\nAnswer: -36*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 786 - -4920. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d - 12. Let s be 6 - (-2 - -6) - 8. Let m be j(s). What is the highest common factor of 105 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c41 + 92137?\nAnswer: 93078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -533. Let d(o) = -94. Let r(x) = -17*d(x) + 3*l(x). Let w(q) = 9*q + 3. Determine 4*r(y) + w(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**3\/3 - g**2 - g - 304. Let r = 3 + -1. Determine l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/32 - 13*z**5\/80 - z**4\/8 + z**3\/2 + 17*z**2 - 2. Factor v(o).\nAnswer: -3*(o + 1)*(o + 2)*(5*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 44*g**3 + 2*g**2 - g + 2. Let a be d(2). Suppose 7*z - 4*z - a = 0. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*2\/(-3). Let t be -2 + 1\/(-1) + 0. Let s(b) = b**3 + 5*b**2 + 2*b - 3. Let m be s(t). Calculate the greatest common factor of o and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7\/5, 15, 2\/13, -4, 2, 0.3 in ascending order.\nAnswer: -4, 0.1, 2\/13, 0.3, 7\/5, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.72 - -1.5. Put 0.5, 1, d, 2\/3 in ascending order.\nAnswer: d, 0.5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2055 (base 10) to base 9\nAnswer: 2733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 1175*t**3 + 9615*t**2 + 25425*t + 21870 = 0. What is t?\nAnswer: -3, -2, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 + 1 - 3*u + 5. Let o = 1799 - 1795. Let z(t) = 7*t - 9. Let a(c) = o*z(c) + 7*v(c). What is a(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12*j + 10*j = -23, 0 = 4*s + 3*j - 33. What is the closest to s in -60, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 times 21\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - 3*-1*sqrt(39)) + (sqrt(468)*-3)\/sqrt(12))\/((sqrt(2916)*1)\/(sqrt(12) + (sqrt(144)\/(sqrt(48)\/sqrt(4)) - sqrt(12)))).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/(-42)*(-8)\/(-6). Let f be -6 - (4\/p)\/(12\/150). Solve f*u - 14*u - 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 4*q - 10 = 0. Suppose -v + 3 = -0*f + 4*f, f + v = 0. Sort -4, q, f.\nAnswer: -4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(55) + sqrt(220)\/sqrt(4)*2)\/(sqrt(539) - (sqrt(539) + sqrt(539)*2)) - (sqrt(320)\/sqrt(72))\/(sqrt(896)\/sqrt(7))) + -4.\nAnswer: -4 - 97*sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1862)*2)\/((sqrt(48)\/sqrt(4))\/sqrt(6)).\nAnswer: 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:32 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:41 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, 0.5, -103\/2, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/5928 and -83\/273?\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-432)\/(-96)*2\/(-3). Let q be (4\/2)\/2 + -6. Sort q, 5, l in increasing order.\nAnswer: q, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/2? (a) -2\/13 (b) -2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 12*a + 4. Let j be b(12). Let s = 407 + -403. Solve -3*h = -s*m + 3 - 14, -m - 17 = j*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*i + 951*i = -3590 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**4\/24 - o**3\/6 - 8*o**2 + 3. Suppose -2*n + 1 = -3*n. Let j(d) = 15 + d - 15. Give n*u(m) - j(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 136\/3*k**2 + 4\/3*k**3 + 336*k - 864 = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118926547 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(168))\/(sqrt(9)\/(sqrt(3)*-1)))\/(-1*(sqrt(448) + 4*sqrt(448) - sqrt(448))*-3).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-188)\/6)\/(-47))\/((32\/(-516))\/(-4)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -1 + 3 + -5)\/(-1). Sort n, -4, 0.\nAnswer: -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3819597 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: Suppose 10*a - 26 = -6. Suppose 0 = -a*q - 5*m, 16 = 2*q + 4*m - 3*m. What is the remainder when 28 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2474*l + 21 = -2473*l, -157 = 5*a - 7*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572268*s**4 + 2289044*s**3 - 6295060*s**2 + 3433916*s - 168 = 0.\nAnswer: -6, 7\/143067, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/96456 and 151\/7530.\nAnswer: 121052280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -164. Let f = 11 - 8. Suppose 29 = f*c - 10. What is the remainder when y is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.92 * -0.2.\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 740 divided by -4\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 7*n - 8. Determine s(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 77 = 5*z - 595, 4*n + 4*z = 680. Calculate the remainder when n is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5743, -22890, -40037, -57184, -74331, -91478?\n\"Answer: -17147*i + 11404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + ((-28)\/(-3))\/(-4). Let d = -2.98 + 3. Let j = d + -2.02. Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + x**2 - 1 + (-x**2 - 2*x + 2*x)*(-3 + 3 + 1) + 4*x**2 - 5*x**2 + 3*x**2 + 2*x**2 - x + x + (4*x + 3*x - x)*(2*x + 2*x - 6*x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7812910 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 384172261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n + 5*f + 23, -53 = -n + 7*f. Solve -13*s + 8*s + n*b = 1, 3*s - 25 = -4*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1619*x**2 - x - 252 + 814*x**2 + x + 803*x**2 - 2*x wrt x.\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 3. Let w(j) = 287*j. Give w(c(s)).\nAnswer: 287*s**2 - 861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -333404?\nAnswer: 333404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -17250, 2, 0.2, 1\/9, 7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -438 and -1422.\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4199.\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 332576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001856524465 to 7 decimal places.\nAnswer: 0.0018565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167257815?\nAnswer: 3, 5, 17, 655913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/6)\/(1\/15))\/(9\/390*13).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 3060827?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 10455812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 118*g**3 + 7*g**2 - 734. Let c(z) = -356*z**3 - 20*z**2 + 2204. Let w(n) = 8*a(n) + 3*c(n). Differentiate w(q) wrt q.\nAnswer: -372*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25012?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*s = 333*s - 39 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.589764501966 - 0.\nAnswer: -0.589764501966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1230)\/(-189) + ((-32)\/18)\/8. Suppose -u + 6 = -0. Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 63. Let b be 0\/(a\/1) + 0. Let m be (b - -5)*81\/315. Which is bigger: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-10))\/((-36)\/(-72)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3751*m + 1873*m + 1880*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/21 - (35594\/333)\/74.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + (-4 - (-13 - -14)) - -4) + -7?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1\/28*h**4 + 0 + 3\/14*h**2 + 1\/7*h**3 + 66*h. Factor f(t).\nAnswer: 3*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*a*n**4 + 60469*a*n**3 - 1224*a*n + 9*a + 2 wrt n?\nAnswer: 300*a*n**2 + 362814*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:47 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 6, 95429 in ascending order.\nAnswer: -15, 2, 6, 95429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/11)*t)\/t**(-1\/4)*(t**(-12)\/t)\/t**(2\/39) assuming t is positive.\nAnswer: t**(-20095\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 444763 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16032618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3899298*i**2 - 2*i + 2*i + 3899297*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 903168.8 decades in years?\nAnswer: 9031688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69978431589 - 1.6\nAnswer: -69978431590.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 4:29 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 430469 - 430469 + 11*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080973604 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 2:52 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 9259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-12))\/(3\/36) - (-6 + 10). Which is greater: c or 4\/4069?\nAnswer: 4\/4069","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.2 + -16.2. What is the nearest to -25 in z, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-21)*(1 - 1\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -457335*q**3 - 3*q**2 - 8*q + 121977730?\nAnswer: -1372005*q**2 - 6*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8207, 16503, 24799, 33095, 41391?\nAnswer: 49687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 261 divided by 435\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -5*t**2 + 0*t + 1\/60*t**6 + 1\/15*t**5 + 0 + 0*t**4 + 0*t**3. Find the third derivative of g(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 839 (c) -0.4 (d) 21 (e) 0.4 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46004, -91939, -137880, -183833, -229804?\nAnswer: -275799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmllmllmmmllmllmmm. Give prob of sequence ml.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 31138*n + 1. Let z(t) = -3*t. Calculate k(z(v)).\nAnswer: -93414*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26870244.\nAnswer: 2, 3, 109, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*t + 17. Calculate the least common multiple of t and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -147*r**2 - 71*r + 69. Determine z(1).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81 and -77846.\nAnswer: -6305526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1086 and 163986?\nAnswer: 163986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -7*g**2\/2 + 229*g - 24. Does 21 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 0*q**2 + q**2 + (-q + 0*q + 0*q)*(0*q + 0*q + 2*q) + 4 - 4 + q**2 - 31*q**2 - 2991*q + 2991*q to i + j*q**2 + g*q and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - (-86)\/4. Let u(h) = -h**2 + 2*h + 242. Let k be u(16). Let c(s) = -k*s - 9*s + b*s. Let p(q) = -2*q**2. Determine c(p(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 50. Let a = 2 - z. Does 6 divide a\/(-27) + 164\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: (205\/(-2255))\/(2\/(-10))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.722 - -10.722. Which is the closest to 1? (a) 0 (b) -5 (c) 85 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300 - 194. Suppose m - d = -111. Let t be 4\/(-40)*-2 + (-499999)\/m. Round t to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17288060, -17288058, -17288056, -17288054, -17288052, -17288050?\nAnswer: -17288048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -16768793?\nAnswer: 4\/16768793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5975.589 months?\nAnswer: 497.96575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Let d(b) = b**3 - 5*b**2 + 5*b - 2. Calculate the remainder when 2 is divided by d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-104)\/(-12))*21\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.05 + 0.05. Sort i, 0.5, -1\/6.\nAnswer: i, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**3 + 1 + 2 + 1 - 30*x**2 + 31*x**2 - 3*x as z*x**2 + y*x + i*x**3 + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1\/2*a**3 - a + 0 + 1\/2*a**2. Find the first derivative of j(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/(-10) - -35)\/(-2 + 1 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q = 79 - 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -6. Let s(z) = -z**3 - 4*z**2 - 4*z - 6. What is the remainder when s(-4) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 + -0.08.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7401, 14796, 22183, 29562, 36933?\nAnswer: 44296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 11*t - 1 - 3.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose -6 = 2*q, 4*q = 4*u - l*u - 36. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4091\/8, -2\/15.\nAnswer: -4091\/8, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 23182?\nAnswer: 255002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10292331 by -3430777.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 4005656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -1320643.\nAnswer: -1320642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m - 168 = 32*m. Let l(f) = -f**3 + 29*f**2 - 10*f + 22. What are the prime factors of l(m)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 7639668, 0.5 in increasing order.\nAnswer: -1\/2, 0.5, 7639668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/(-17))\/((-42)\/364)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0488 times -6?\nAnswer: 0.2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 705\/(-5940) - -2*5\/(-45). What is the fourth smallest value in -0.1, i, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2.8 (c) -2 (d) -0.0143 (e) 1\/4 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*f - 94*f + 187*f)*(4 - 4 - f**2).\nAnswer: -194*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 438*x**2 - 988*x**2 + 526*x**2 - 10 + (4*x - 2*x - 4*x)*(2*x - 3*x - x).\nAnswer: -20*x**2 - x - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) 159 (c) -0.02 (d) 5 (e) 0.5 (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v - 2*o, 2*v - 4*o - 18 = -0*v. Let g(f) = -f + 1. Calculate g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 + 72*q + 290. What are the prime factors of u(-27)?\nAnswer: 7, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-16))\/(q*(q*q**(-3\/7)*q)\/q*q))**(-15) assuming q is positive.\nAnswer: q**(1845\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -86. Let u(q) = -6*q - 68. What is the units digit of u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237918, 237917, 237916, 237915, 237914, 237913?\nAnswer: 237912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-50) - 7852\/650. Let q be -2 + -1 - f*10\/20. Solve -6 = -q*a + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {i: 1, j: 1, y: 5, f: 1, g: 1, c: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/36 and -4 - (-3 - ((-309)\/12 + 6)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 620*o**2 - 31*o + 3. What is the remainder when f(1) is divided by 280?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 30, 43?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 141\/(-36) + 4 + 8\/432*9. What is the closest to -505 in r, -5, -0.5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -20*x**2 + 36*x - 39. Let i(k) = -k**2 - k + 1. Let j(h) = 4*i(h) - o(h). Factor j(r).\nAnswer: -4*(r - 8)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-2 - 2 - (14 + -7)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23584163 divided by -24389.\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12028 = 7*s - 2560. List the prime factors of s.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 10. Let b(x) = 3*x**2 - 4*x - 9. Is b(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 12:48 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1231, -4705, -10499, -18619, -29071, -41861, -56995?\n\"Answer: -u**3 - 1154*u**2 - 5*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1*55\/((-2)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -8*u + 60. Suppose u = 2*s + 3*s. Suppose 0*g - 3*g + 20 = s*a, -4*a + 4 = -g. Are 2 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -5, -968\/127 in ascending order.\nAnswer: -968\/127, -5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3675?\nAnswer: -1\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-17 + -3)*-5*-36. Suppose s = z + 2*n, -15 = -4*n + n. Calculate the greatest common factor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28242\/271 != -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176353925, 352707852, 529061779?\nAnswer: 705415706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 b, and 1 i when four letters picked without replacement from {j: 4, w: 3, i: 1, b: 1, s: 5}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 5. Let l(q) = 2*q - 3. Give -5*l(b) - 3*w(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/4 + 3*j**4\/4 + 303*j**3\/4 - 1059*j**2\/4 - 75*j + 264 = 0.\nAnswer: -11, -1, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.10398 and -2?\nAnswer: 2.10398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*(-1 + (-12)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -2b5?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138656103*k**2*x**3 + k**2*x - k**2 - 28*k*x - 33536*k - 2*x + 2 wrt x.\nAnswer: 831936618*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20292 + -20291. Sort 18, 82, f in ascending order.\nAnswer: f, 18, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11509*f + 80562. Let v be h(-7). Let r(i) = i - 1. Let k(g) = g - 3. Let u(l) = 2*k(l) - 5*r(l). Let o(p) = p. Give v*u(m) - 2*o(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -18. Let c = m - -6.8. Sort 5, -2, c in descending order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7566 divided by -78.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*z + 7. What is the third derivative of o**3 + 7*o**3 + o**3 - 2*o**3 - 10*o**z wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 109*a**2 + 286. Let y(n) = -8*n**2. Give w(y(p)).\nAnswer: 6976*p**4 + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p - 2. Let x(v) = 62*v - 4. Give -2*w(d) + x(d).\nAnswer: 2*d**3 + 60*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -2*i**4 - 20*i - 5. Let q(d) = -83*d. What is q(w(k))?\nAnswer: 1992*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 194. Solve -r*t + 5 = 3*f + 2*t, 3*t = -3*f - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 8*k + 59. Let c be k\/(-3) - 150\/(-45). Solve -c*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (482 - 177 + 87 + 112)*(30 - 30 + 10*v) in the form i + l*v and give l.\nAnswer: 5040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(68) - (sqrt(68) + -1*sqrt(68) + sqrt(68)))\/sqrt(4) - (-1 + sqrt(425))**2)*4 + 0.\nAnswer: -1702 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2159\/4 - 88481\/164. Which is greater: j or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 101*u - 22. Let o(r) = -101*r + 26. Calculate -6*h(v) - 5*o(v).\nAnswer: -101*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = z + 4, 4*z - 5*k = 26. Suppose -z*c + 64 = -0*c. What is the greatest common divisor of 48 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258*m**5 - 403035*m**3 + 458*m**2 + 5*m + 108205?\nAnswer: -15480*m**2 - 2418210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5571*x + 5583*x - 11*x**2 - 11154*x.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*u + 16, w + 4*u + 0*u = -21. Let v = -147 + 132. Put 2, v, w in decreasing order.\nAnswer: 2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1338, 1341, 1344, 1347?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose -y = -4*s + 38, -s + 4*y = 7*y - v. Let b be (-1)\/(1*-3*5\/135). What is the highest common factor of s and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*j**5 + 8711*j**3 + 2*j**2 - 825647*j wrt j.\nAnswer: 380*j**3 + 52266*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/570 - 5*d**4\/76 + 16*d**3\/57 - 91*d**2. Suppose h(z) = 0. Calculate z.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218 + -216. Solve i*t = -6, 0*t - 5*t = -4*l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*((5 + 1 + sqrt(475) - sqrt(475)) + sqrt(475)) - (1*(sqrt(475) + -1 + sqrt(475) - sqrt(475)) + 1*sqrt(475) + 4))**2.\nAnswer: 270*sqrt(19) + 4357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -12, 2 in decreasing order.\nAnswer: 5, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-50) + (-586)\/(-10). Let k = z + -63. Let g be ((-2)\/8)\/((-33)\/k). Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -25. Suppose -5*w - 5*c = -10 - p, -5*w - 2*c = -13. What is the highest common divisor of w and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2. Let q be (40\/14)\/((-6)\/(-21)). Let n = -291 - -345. Let w(l) = -q*l + n - 54. Calculate w(s(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17192012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, s: 3}. Give prob of picking 3 n.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:08 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4106\/3237 + 84\/83. Calculate the common denominator of m and 67\/129.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -104, -153, -222, -311?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 4) in base 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(10)*-2) + -3*sqrt(1260))\/(sqrt(700) + (sqrt(700) + (sqrt(700) + sqrt(700)*2)*3 - sqrt(700)) + (sqrt(700) - -1*sqrt(700))*4).\nAnswer: -37*sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9397794 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1839718 + 0.184. What is h rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101001111 (base 2) in base 15?\nAnswer: -16e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 31 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/19)\/(i*i*i**16)*(i*i\/i**(-9)*i)\/(i*(i**8*i)\/i))**(15\/7) assuming i is positive.\nAnswer: i**(-4245\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -2*i + 4*m, -3*i + 5 = m. Suppose -3*w = i*c - 6660, -410 + 11510 = 5*w - c. Let o = 4067 - w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 171.\nAnswer: 18.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.058 and -15.\nAnswer: -14.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 3*b**2 - 3*b**2 + (1 + 2*b - 1)*(b - 2 + 2) + (b - 4*b + b)*(-2*b + 4*b - 4*b) + b**2 - 5*b**2 + 2*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adrqq. What is prob of picking 2 q and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -189.77 in -0.5, 2\/9, -3\/5, -2\/5, -1\/6, 37\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + (-1164)\/(-36))*4\/42?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*c + 279 = -177. Solve c*u - 5*u = 2*l + 2, 0 = 5*u + 4*l + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -14, -0.150916?\nAnswer: -0.150916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 814332.2 kilometers in nanometers?\nAnswer: 814332200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32\/6*(-120)\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177681162 is divided by 15495?\nAnswer: 15492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -3 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 1313?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, m: 1, j: 1, c: 1, u: 3, w: 3}. What is prob of sequence wuq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3672*l - 1497. Does 219 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3370915676 + 0.08.\nAnswer: 3370915676.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -809*j**5 + 3097*j + 3104*j - 53 - 6205*j wrt j.\nAnswer: -16180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 7*z**2 - 30*z - 6. Determine c(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5647 and 599?\nAnswer: 3382553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5700*m = -10*t + 5705*m - 360, -30 = 3*t - 4*m + 88 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12058276?\nAnswer: 2, 1237, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1210210 (base 3) to base 16\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 11. Let x be n(-9). Suppose x*s - 8 - 18 = 0. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.24 - -13. Let v = -0.04 - q. Let n = v + 0.7. Is 0.04 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 28677266?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*a + 485 + 1065 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 36 = 136. Let d(f) be the first derivative of -f**4\/2 + f**3\/3 - 3*f**2 - 4*f - 2. Is d(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 8*y**4 + 3*y**4 + (-2 + 2 - y)*(3*y**3 + y**3 - 3*y**3) + 0*y**4 - 2*y**4 + 0*y**4.\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 0. Let f be 10*-2*(-2 + 3). What is the units digit of ((-32)\/f)\/(3\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(((-1034)\/94)\/((-2)\/(-2)))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(4\/5)\/f)\/f)\/((f**11*f)\/f) assuming f is positive.\nAnswer: f**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2. Let n(t) be the second derivative of -t**3\/2 + 2*t - 6. Give n(u(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*r**5 - 15783*r**4\/5 + 468018*r**3\/5 + 125928*r**2\/5 = 0. Calculate r.\nAnswer: -4\/15, 0, 33, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 4, u: 6, l: 6}. What is prob of picking 1 u and 1 h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4938, -9364, -13268, -16650?\nAnswer: -19510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*2*-6 - (sqrt(1216)*1 + sqrt(1216))*3.\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/(-12))\/((-2)\/(-276))*(-678)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/49 + (1 - 1). Let q = -0.1 + 0.6. What is the nearest to 2 in q, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/7, 4, -6\/143?\nAnswer: -6\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450255831?\nAnswer: 3, 150085277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*f**2 + 65*f**2 + 335*f**3 - 139*f**2.\nAnswer: 335*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 23*r = 18020. Let w = r + 255. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296\/3117779 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5659 = 3*u, -4*f + 0*u + 11343 = -u. Let r = -1798 + f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 = -96*z - 65*z. Solve -3*l - i + 4*i = 24, -z*i = -15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*l**4*x - 4293379*l**2*x**2 - 50655*l*x**2 - 20*l*x - x**2 + 2*x - 6 wrt l?\nAnswer: 384*l**2*x - 8586758*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = 5*h - 2*h, 3 = -g - 3*h. Suppose -g*r + 2*r + 2*l = -16, -5*r = 4*l - 80. Let z = r + -11. Solve 2*b = b + 2, z*f + 3*b + 19 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - ((-14 - -15) + -1 - 12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*d + 69 - 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 211.9136.\nAnswer: 847.6544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k. Let l(p) be the first derivative of 1\/12*p**4 + 0*p**3 + 3 + 3\/2*p**2 + 0*p. Let j(y) be the second derivative of l(y). Determine j(a(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*j*y + 56*d*j + 70*d*y**2 - 4*d + 2*j wrt y?\nAnswer: -2*d*j + 140*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 + 310. Let c = l + -96. Let d(w) = -8*w + 5. Let y(z) = z - 1. Calculate c*d(v) + 6*y(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 + 30*n**3 - 4*n**2 - 4*n**2)*(3 - 3*n - 3).\nAnswer: -90*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -5, -283879 in descending order.\nAnswer: 222, -5, -283879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 578.9916 + -4\nAnswer: 574.9916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.35531 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:15 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 57224762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4510505 (base 8) to base 6\nAnswer: -42025301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -199254 + -1?\nAnswer: -199255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153878, 307771, 461686, 615635, 769630, 923683, 1077806, 1232011?\nAnswer: 1386310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18369.57 centuries in years?\nAnswer: 1836957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61023 - -17823. Round v to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/224100*-30 + (-6891)\/(-83).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/50347552 and -77\/160.\nAnswer: 251737760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 4*c**2 + c + 15. Let n be i(-9). Suppose 3*j - n = -21*s + 18*s, 0 = -j + 2. Is s smaller than 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5593 or -39154\/7?\nAnswer: -39154\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 334.6 and 0.7905?\nAnswer: 333.8095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07196033 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 436\/24 + (-9)\/6. Let z = q + -16. Let a = 0.3 + -1.3. What is the nearest to a in -4, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5723144 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 4*a + 4*a + (2*a**2 + 3*a**2 - 3*a**2)*(4 - 3 + 0))*(-4 + 4 - a)*(0*a - 2*a + 0*a).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 7 - (-5 + 3 + -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4568, -5784, -7000?\n\"Answer: -1216*i - 3352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13081 divided by 729?\nAnswer: 13081\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-19)\/j)\/((j\/(j\/(j\/j**(1\/13)*j)))\/(j*j\/((j**(-5\/6)*j)\/j))) assuming j is positive.\nAnswer: j**(-1723\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-462)\/(-28)))\/(-7*1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*w + 31, -b + 4 + 11 = 3*w. Suppose -3*x = -4*z - 7, -3*z + 0 + 1 = -x. Let p = w - z. Solve 3*v = 5*d + 22, -2*v - p*d = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212311, 212532, 212753?\nAnswer: 212974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3859709, -3859707, -3859705, -3859703?\nAnswer: -3859701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/1*(-84 - -83). Solve -2*i - 2*i - f*q = 12, -5*i = 3*q + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*q + 11*q - 7*q + (-4 + 5 - 3)*(4*q + q - 3*q))*(74 - q + 19 - 1) + (4*q - 5*q - q)*(q + 0*q - 4*q).\nAnswer: 12*q**2 - 550*q - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:14 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 - 4*s**2 + 2*s + 27. Let q(f) = -16*f**3 - 18*f**2 + 9*f + 109. What is -9*j(a) + 2*q(a)?\nAnswer: 4*a**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 n when three letters picked without replacement from kbannby.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401 + 118. Suppose q = -18*m + 1599. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k + 48 - 8*k - 11*k - 9*k + 31*k. Let p be b(11). Which is greater: 5 or p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 - 242 = 4*z - 177*v + 187, 3*v + 129 = 3*z for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, c: 8, l: 1}. Give prob of sequence ll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 + 8*d - 3. Let p = 9 - 3. Let q be z(p). Suppose -l + 22 = -28*t + 30*t, -t - 9 = -2*l. Do q and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-5*4)\/4 - 459\/102. Let m = 0.33 + -0.15. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 172 = -4*b. Let z = b - -52. Is 17643\/z + (-1)\/(6\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*w + 3*j, -2*w + 9 + 7 = -4*j. Let r = -10 + w. Factor -1\/2*n + 1\/4*n**r + 1\/2*n**3 + 0*n**2 - 1\/4.\nAnswer: (n - 1)*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let w(z) = -4355041*z - 14. Calculate w(l(c)).\nAnswer: 8710082*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1866, 2430, 3918, 6792, 11514?\n\"Answer: 77*c**3 + 25*c + 1764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 51*t**2 - 17*t**2 - 10*t**2 - 8*t**2 - 11*t**2. Let l(w) = -3*w + 94. Give f(l(x)).\nAnswer: 45*x**2 - 2820*x + 44180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 9.6. Let j = -3 - l. Which is the biggest value? (a) -4 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9554 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 + 6)\/((-1)\/(-935))?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/40 + 107*b**3\/3 - 179*b. Let n(d) be the second derivative of o(d). Let m(g) = 39*g. Calculate m(n(t)).\nAnswer: -351*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -286 + 289. Suppose 0 = -u + 5, -3*m - 5*u = -0*m - 25. Which is the nearest to 0? (a) s (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2448) - sqrt(2448)) + (sqrt(68) - (-1 + sqrt(68))).\nAnswer: -24*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -204432863.\nAnswer: 5\/204432863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from {u: 3, g: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 0.4 (c) -0.0064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*u = 287, 2*u = -4 - 2. Let p = c - 72. Solve -p*r + 0*r - 20 = -5*z, r = -2*z - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 4*s + 3. Suppose 0 = 5*m + o + 23, 4*o + 0*o = 2*m - 4. What is h(m)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7)*(-1)\/30*21. What is the smallest value in -6, n, -4, -0.03?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:03 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201012001 + 1011?\nAnswer: 1201020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5215, -5217, -5219, -5221, -5223, -5225?\nAnswer: -5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 49. Suppose l = 5*o + 320. Let i = -22 - o. What is the remainder when i is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*g + 66*g - 227*g + 67*g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 + 41. Determine y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 5*p**2 - 6*p + 9. Let j be g(6). Let t = -26 - j. Suppose -5*c = -5*x + t + 33, -3*x = -2*c - 25. Is -19 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(6\/24)*-286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71942.\nAnswer: 2, 13, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5, 3\/4, 190, 5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d - 2*d)*((2 - 4 + 3)*(d + 0 + 0) + 2*d - 2 + 2 + 18 + d - 18) + 2*d**2 - 2*d + 4*d + 0*d**2 to the form r*d**2 + t*d + w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -792849.0705 - 315610.477. Let x = 1107821.5475373 + m. Let l = x - -638. Round l to six decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 41496.49.\nAnswer: -373468.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -674 or 4629?\nAnswer: 4629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) 0.2 (c) -0.02 (d) -0.5 (e) 50 (f) 4 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpqhjqdooojo. What is prob of sequence op?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 329529534 and -653.\nAnswer: 329528881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/14544 and 11\/12.\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383482 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 the closest to 3 in -230020, -1, 1, 2\/187, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6 - 6 + 2*h. Let c(i) = -4*i**2. Calculate c(f(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 117*w**3 + 3*w**2 - 3*w + 2. What is the hundreds digit of z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*u - 82*u + 114*u**2 - 39*u - 74*u.\nAnswer: 114*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 - 39*b**2 + 9*b + 12. Let l be t(-8). Solve -4*f - 23 = 3*o, 6*o = l*o - 4*f - 22 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33412, -66952, -100580, -134296, -168100, -201992, -235972?\nAnswer: -270040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-368)\/(-44))\/(-2) - -4. Let u = -320\/3 + 107. What is the second biggest value in -0.04, u, w?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 4*u + 4*u)*(27 - 50 + 29)*(-1 + 4 + 1)*(20 + 25 + 32) to the form a + f*u and give f.\nAnswer: 12936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6) - 12\/(-24). Which is the closest to w? (a) -1\/11 (b) 5\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0*l)**(-4))**(5\/7)*(l\/((l*(l\/(l\/((l\/l**(2\/3))\/l)))\/l*l)\/l)*l**(-3\/5)\/l)\/(l*l**(2\/3)*l)**31 assuming l is positive.\nAnswer: l**(-2991\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3077790 or -3077789?\nAnswer: -3077790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 - 0. Suppose 4*w - 2*d + 6 = 0, 0 = -5*w + 3*d - 6*d + 20. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44946249 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 834 and 5094.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erkikreevvdeidv. What is prob of picking 2 k and 2 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -536\/117?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 189, 196, 207, 222, 241, 264, 291?\n\"Answer: 2*s**2 + s + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 645.3092ml?\nAnswer: 0.6453092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1, -1\/3, -1\/6, -1\/188, -3, -3.67?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 1 t when three letters picked without replacement from tatttataeatattatt?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*f - 14 = -25, 3*z = f + 13. Suppose -4*u - 4*c = -1288, -2*u + 658 = -z*c - 2*c. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c**2 - 7*c - 5. Give h(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10772 is divided by 1168?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 106633, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (11 + -12 - (10 - (5 + 0)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {l: 2, o: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4707 - -4705. Which is bigger: o or -21\/38?\nAnswer: -21\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -113, -118, -125, -134, -145?\n\"Answer: -n**2 - 2*n - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212168582 to the power of 1\/3, to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.36. Let l = z + 1.7. Let n = 1968 - 1969. Which is the third biggest value? (a) n (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76749.\nAnswer: 3, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0, 0.4, 0.1, -0.0574?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.2 + 0.2. Let n = r - -8. What is the closest to -1\/4 in -4, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9125 and 5768825?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-4\/7)\/c)*c*c*c**(-3)*c**40)\/((c\/(c*c\/(c*c\/(c*c**(-1\/3))))*c**(-1))\/(c\/c**(1\/5)*(c\/((c*c**4*c)\/c))\/c*c)) assuming c is positive.\nAnswer: c**(4204\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 5*j**2 + 4*j - 2. Suppose -l = 2*n + 3, -l + 5 = -5*n - 13. Determine y(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/65)\/((-676)\/845)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1794 (b) 3 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26147 - -27466. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2687 and -25111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -89163869 equal to -89163867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(3\/10*5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 42751777*l**3 + 2*l - 42751788*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c*g*z**3 + 5*c*g*z**2 - 2*c*g*z + 30*c - 7*g*z**2 - 4*g*z wrt z?\nAnswer: -90*c*g*z + 10*c*g - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 11:04 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46572 = 1004*j - 1420*j + 9548 for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45076, 45495, 45920, 46345, 46764?\nAnswer: 47171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375686161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 6*c**3 + 5*c**3 + (0*c**3 + 4*c**3 - 3*c**3)*(3 - 2 + 0).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11050215.\nAnswer: 3, 5, 11, 193, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 9*k - 3. Let o(p) = p + 1. Let m(d) = i(d) + o(d). Let y be m(8). Is (-155 + -4)*y\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001805956952 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 6*f**2. Let l be 80\/14 + (-2)\/(-7). Let i be d(l). Let p = -3 - i. Put 3, p, -0.1 in descending order.\nAnswer: 3, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35214*r + 533681 + 2122400 = -7422*r - 11951 for r.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 + 6 + (-5 - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.95 + -0.7. Let y = z - 0.18. Let i = -0.070025 + y. Round i to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 36*t = 188*t + 143*t - 6700 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1687, 1\/3, -21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 238979.\nAnswer: 95591.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-10) - -1)\/(6\/(-8)). Suppose r + d - 56 = 0, -3*r + 3*d + 52 = -h*r. Let s = -36 + r. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 12448?\nAnswer: 112032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 269 from -7.025.\nAnswer: -276.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66429 by -4.\nAnswer: 66429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220200222 - 100?\nAnswer: -10220201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {o: 3, n: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let k(j) = 9*j + 3. Let o(g) = -50*g - 17. Let z(q) = 34*k(q) + 6*o(q). Suppose 15*m + 5*v - 7 = 17*m, -4*v + 4 = 0. Calculate m*z(l) + 4*w(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 5*w. Let r(x) = 2*x**2 - 5*x. Let a(b) = b**3 - 13*b**2 - 29*b - 11. Let h be a(15). Determine h*r(p) + 5*l(p).\nAnswer: -2*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5171.3188 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/(13\/(-130))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 - 3*m + 2. What is the smallest common multiple of x(3) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45c8 (base 15) in base 2?\nAnswer: 11100111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooa. Give prob of sequence oa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxn when three letters picked without replacement from {i: 3, x: 2, h: 1, p: 1, n: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 0.2. What is the third biggest value in -2, 0.4, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532 and 188.\nAnswer: 25004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 40, 58, 76, 94?\n\"Answer: 18*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*sqrt(49)\/(sqrt(21)\/sqrt(3)) + -2 + (-4 + (sqrt(7) - (sqrt(7) + -2)))*1)**2.\nAnswer: -80*sqrt(7) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/4 - 67*v**3 + 303*v**2\/2 + 445. What is the second derivative of n(m) wrt m?\nAnswer: 6*m - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 2*o + 3. Let w be t(3). Let z = -4 - w. Let b be (-5)\/(-2) + (-4)\/z. Solve -y + b = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1*-4*(-7)\/4 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**2 + 9*n. Let j(g) = 17*g**2 - 14*g. Let r(o) = -5*j(o) - 7*m(o). Calculate r(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 + 1)*(2 - 14*c - 2) + (3 - 7 - 12)*(0*c - 3*c + 2*c))*(4 + 2 - 1).\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27 - (2 - 3))\/(-2). Let y = 23 + i. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknnccn. Give prob of sequence nnck.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 6*o**2 + 18*o - 14. Let i be 343\/(-147) - (-93)\/9. What is v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 2*o**2 + 2*o**2 - 4*o + o**2 + 4*o + (-1 + 0 + 3)*(-72*o**2 - 2*o**2 - 5*o**2) to d*o + v + s*o**2 and give s.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5392\/5 + 1079. Which is the second smallest value? (a) -0.5 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -20. Let p = -15.777 + 3.721. Let f = l + p. What is f rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1634*r**3*s - 34*r**3 - r**2*s + 202276*r*s + 1 wrt r?\nAnswer: 9804*s - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i + 3*i)*(4 - 1 - 7)*(5*i + 2*i + 3*i).\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -0.06, 4, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:42 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(180)*1 - -6*sqrt(180)*5)**2.\nAnswer: 486720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/23 + 27\/92. Let n = 28 + -86\/3. Let b = 0 - -0.1. What is the third biggest value in v, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 55. Let m be z(-11). Let n = m - 30. What is the units digit of 22 - 7\/(n\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/17)\/b*b*b**(-2\/61))**(-34) assuming b is positive.\nAnswer: b**(190\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 - 13)*(-2)\/4*-299. Let o = n + 934. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - (sqrt(144) - -4*sqrt(144)*-2))*-1)\/(sqrt(36)\/(2*sqrt(12)) - (sqrt(15)\/sqrt(5)*6 + sqrt(3))).\nAnswer: 64*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.81 + -19.81. Which is the third smallest value? (a) 2\/3 (b) g (c) 0.2 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488 + -490. Let p be (2*(x + 1))\/(-10 - -9). Solve p*o = -1 - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -330*g + 9. Let v be j(-1). Find the third derivative of 26*d**4 + 339*d - v*d - 26*d**2 wrt d.\nAnswer: 624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2119 = 533. What is the common denominator of 2\/7 + k\/308 and ((-12)\/56)\/(63\/(-1911))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.13, 1771895?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3259 - -7101. Is 0 - -5 - t\/(-10 + 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 488*i\/7 - 486\/7.\nAnswer: -2*(i - 243)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-83)\/((-19422)\/1820) - 8)\/(-2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*3\/15*20\/8. Suppose 4*x - 7*x + 48 = 0. Solve w = -z*w + x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**2 - 2*a**2 - 2*a**2)*(-9*a**2 + 23*a**2 + 3 - 17*a**2) as m*a + i*a**4 + n*a**3 + q*a**2 + w and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13482 and 3918432.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + 13. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-94)\/(-18) - (-2)\/4 and (-345)\/48 - (-3)\/2?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24698 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1952824 by -692.\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 9) to base 13.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 41940.\nAnswer: -41945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.64 - -0.36. What is the closest to 1 in 5, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**8\/336 + 2*g**7\/105 + g**6\/30 - 13*g**2. Suppose r(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13224 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/9 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 794994277 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179563 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:36 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39558\/37 - -1069. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14102 (base 5) in base 9?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 0.27?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1837096 times -4\nAnswer: -7348384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8078*k**2 - 1. Let h be m(2). Let c = 146313 + h. What is c rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/24 and -1\/2528?\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372788 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3783511911.\nAnswer: 3, 2293, 550009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/9 + 1408*k**2\/9 - 5758*k\/3 - 7160 = 0?\nAnswer: -716, -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4578.256 * -0.09.\nAnswer: -412.04304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 53886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 10*l**2 - 10*l - 24. Let s be t(8). Let i be (-2)\/18*-3 - 8\/s. Solve n + 9 = -4*z, -4*n + n - 15 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445 + 511 = 11*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -103*k + 212. Let r be x(2). Let g(v) = -8*v + 3. Let s(l) = 16*l - 5. What is r*s(o) + 11*g(o)?\nAnswer: 8*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(13) - sqrt(13))*-1)**2 + 3 - (5 + sqrt(117) + 3)) + (sqrt(468)*-2 - 6*(sqrt(39)\/sqrt(3) + sqrt(13)))**2 + -5 + -2.\nAnswer: -3*sqrt(13) + 7593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((0 - (6 + 6)) + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1451?\nAnswer: 15961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -181, -388, -665, -1012, -1429?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/24 + 61*l**2. Let v(w) be the third derivative of 0*w - w**2 + 1\/30*w**5 + 0 + 0*w**4 + 0*w**3. What is c(v(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8421c (base 14) to base 7\nAnswer: 2465135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 360150089 times 5\nAnswer: 1800750445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-14)\/6). Let q = 1.334 - -0.006. Let l = 3.66 + q. Which is the closest to 2\/9? (a) o (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5067 + -8115. Let l be 60\/(-210) - f\/(-14). Is ((-8 - -2) + 5)*(l - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 7\/3*k**3 + 0*k**2 + 0*k + 7. Let x(i) = 8*i. Give x(v(c)).\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -83415*z - 1418059. Calculate v(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 19*x**3\/6 + x**2\/2 + x. Is q(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n - 6. Let f be z(-8). Let c(t) = 2 - 11*t**2 - f + 15*t**2. Let o(j) be the first derivative of 3*j**2\/2 + 2. What is c(o(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, -148, 32, 4 in decreasing order.\nAnswer: 32, 7, 4, -7, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 3*q + 2. Let j be s(6). Suppose 5*a + 16 = 2*a - n, 5*n = -j. Calculate the least common multiple of 16 and (-112)\/(-6) - a\/(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169440062 is divided by 1774?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 5*u + 5. Let z be h(-6). Let b be (3 - 3)\/(6\/(-2)). Suppose 0 = 4*w + r + 4*r, b = -w + 5*r. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Let u = -3 + h. Let s = -16 - -47\/3. Is u bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i**2*i*i*i)\/i))\/i)\/(i*i*i**(-5)))\/((i*i**(2\/7))\/(i*i**(2\/11)\/i)) assuming i is positive.\nAnswer: i**(-239\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-29)\/87)\/((-2)\/(-6)))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(6*((sqrt(192) - (sqrt(192) + 2)) + sqrt(192))*3*6 + 0)**2.\nAnswer: -4572288 + 746496*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*j + 43, 0 = -j - 2*m - 7 - 10. What is the tens digit of (-5)\/(-25) + (-1272)\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-15))\/((-2)\/36). Suppose -c + 44 = 2*j + 2*m, -3*j = -3*m - 63. Calculate the smallest common multiple of (-12)\/(-5)*j\/8 and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 29*b + 89. Let g be t(-3). Suppose -3*w = g*w - 15. Solve -j = w*l + j - 7, 4*l + 9 = j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149133 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3151*d - 12551. Calculate s(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -25.999998. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s - 2. Let i(t) = t**3 + 6*t**2 + 3. Let x be i(-6). Suppose -3*j + 9 = 0, -x*w + 2*j = 2*w - 4. What is b(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 23 = -2*s, -d + 8 = -4*s + 21. Let y(i) = i**3 - 5*i - 1. Give y(s).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5818 times 3.2\nAnswer: -18617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342420 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 164594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)**(2\/99)\/(t**0)**(43\/4))\/(t\/t**(2\/21)*((t*t**(-8)\/t*t)\/t)\/t)**(10\/3) assuming t is positive.\nAnswer: t**(6238\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 4, x: 3, t: 4, h: 1}. What is prob of sequence ottv?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + 3 + -4 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1452 - -1445. Let q(f) = f**3 + 5*f + 7. Let z(d) be the third derivative of d**6\/120 + d**4\/6 + d**3 - 7*d**2. Give i*z(n) + 6*q(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36875232 divided by -6?\nAnswer: -6145872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 533, 673, 817?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 3. Let n be g(7). Let c = 11 - n. Solve 4*t - 3*o = -15, c = -0*t + 3*t - 4*o + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926, 3587, 7998, 14153, 22046, 31671, 43022, 56093?\nAnswer: 70878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/24 - q**3\/2 + 15*q**2. Determine a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 14 - 139 = 0. Let p be (z\/(-30))\/(108\/(-15)). Let a = p - -3\/8. What is the nearest to -1 in a, -2, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 2*r + 0*r)*(-13 + 7*r + 13)*(-1252 - 420*r + 1252) to the form q*r**3 + b*r + s*r**2 + u and give q.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4c0b22 (base 15) to base 10\nAnswer: 3647507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 323143032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*n - 79, -5*q - 5*n = 1670 - 1860 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - 2*k - 28. Let y(w) = -3*w**2 - 3*w - 34. Give 3*y(o) - 2*z(o).\nAnswer: -o**2 - 5*o - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**3 + 7*y**2 - 8*y + 3. Give x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/9 - 16\/(-48)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004686658 rounded to seven decimal places?\nAnswer: 0.0004687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 2:23 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 11 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let h(d) = -d**3 + 7 - 3 - 7 + 2. Calculate h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let g(n) = 22*n**3 + 3*n**2 - 4*n + 91. Let x(l) = -g(l) - 4*u(l). What is the derivative of x(o) wrt o?\nAnswer: -66*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-7) - (-20)\/35. Let h(v) be the second derivative of 0 + 3\/2*v**2 + 15*v - 5\/4*v**4 + 0*v**d. What is the first derivative of h(j) wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1864*j**2 - 32*j + 37. Calculate the remainder when y(1) is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + f + f)*(3*f**2 + 0*f**2 - f**2) + 2008*f**3 + 13052*f**3 - 298265 + 596530 - 298262 in the form m + g*f**2 + z*f**3 + w*f and give z.\nAnswer: 15058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -73 (b) -5 (c) -1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqy when three letters picked without replacement from qoyyyyyopx.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215760495*d**3*p**3 - 3*d**2*p**2 + d*p**2 - 2*p**3 - 10952*p - 12 wrt d.\nAnswer: -1294562970*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6942568497?\nAnswer: 3, 229, 10105631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 22*j**2 - j - 20. Let b be y(-22). Suppose 740*t + 751*t - 1497*t = -12. Solve p + 3*w = 0, -t*p - b*p + 4*w = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:44 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**7\/12600 + h**6\/3600 - 3*h**4\/8 - 5*h**2. Let c(l) be the second derivative of w(l). What is q in c(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1315*x**2 - 26290*x + 200 = 0 for x.\nAnswer: -20, 2\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47688637?\nAnswer: 23, 73, 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2399?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15133, -15135, -15137, -15139, -15141?\n\"Answer: -2*o - 15131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 12 = 2*w - 3*k, 5*w - 3*k - 9 = 0. Let u be (w\/6 + 2)*(-24)\/(-15). Let q(d) = 2*d + d - u*d + 0 + 1. Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - s - 62 = 0, -4*z - 4*s = -3*z - 7. Find the first derivative of z*y + y - 9 + 3 + 0 wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u + 28. Suppose -484 = 4*o + 7*o. Let w be (-5)\/(20\/o) - 4. Is y(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 69. What is the remainder when d is divided by 2*-1*10\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 834 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/(1\/((-8)\/72))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38881.19 centimeters in millimeters?\nAnswer: 388811.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1055, -7998, -26843, -63542, -124047, -214310?\nAnswer: -340283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 1:31 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4416132 tonnes to grams.\nAnswer: 441613.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 78*a - 166. List the prime factors of y(14).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16750413 divided by 1\nAnswer: 16750413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/(-56)*(-32)\/12)\/(4\/6). Let o(s) = -s**2 - 2*s + 4. Let d be o(7). Let l = 414\/7 + d. Which is greater: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -682*t + 752*t + 630, -4*a = -t - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 4:09 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35012, -70025, -105038, -140051, -175064?\n\"Answer: -35013*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2839*o**3 + 541*o - 541*o.\nAnswer: -2839*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59589*w - 61476*w = 128316 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4914347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 - 25*j**2 - 230*j - 200 = 0.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -i + 67. Suppose -3*o = -2*x + i, 0 = -0*x + 3*x. Let m = 111 + o. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -354706 equal to -3192356\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180756365 and 144605092?\nAnswer: 723025460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/10 - (-11988)\/999*1\/20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105176786736.81 + 0.4.\nAnswer: -105176786736.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/5 - 36*i**3\/5 - 66*i**2\/5 - 32*i\/5 = 0 for i.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/3)*2\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 500*a. Let i(r) = -18*r**2. Give i(p(c)).\nAnswer: -4500000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -584?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -0.1, 3288?\nAnswer: 3288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 k when four letters picked without replacement from {p: 1, q: 3, k: 1, v: 1, n: 2, u: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:42 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1648 - -2890. Calculate the highest common divisor of 81 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -29*h**3 - 6*h**2 - 3*h - 19. Let p(s) = -31*s**3 - 8*s**2 - 4*s - 20. Determine -3*p(a) + 4*v(a).\nAnswer: -23*a**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 29*w**3 + 5*w**3 + 14*w**3 + 5*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/3 + y. Let c(j) = 398*j - 130*j - 141*j - 133*j. Determine c(f(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**3 + 260*k. Let g(y) = 5*y**3 + y**2 - 261*y. What is -3*g(t) - 2*z(t)?\nAnswer: -t**3 - 3*t**2 + 263*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496 by 248.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**7\/1050 + 211*y**6\/600 - 337*y**5\/10 - 5555*y**4\/6 + 12100*y**3\/3 - 13*y**2 - 2*y - 68. Find t, given that v(t) = 0.\nAnswer: -10, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 1) + 10 - (502 - 512)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-5)\/(-30))\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359731.9 years in months?\nAnswer: 4316782.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.84 in 3, 13, 0.3, 5, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000071091 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40276983 to the nearest integer?\nAnswer: 6346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 9 - 12)*(-3*r + 2*r + 2*r) to the form m + d*r and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, v: 11}. What is prob of sequence hhvv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11811.41 nanoseconds to microseconds.\nAnswer: 11.81141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -5, -23, -43, -65, -89, -115?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-1 - (sqrt(11) + (sqrt(165)\/sqrt(5))\/sqrt(3) + sqrt(11)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49998900 rounded to the nearest one hundred thousand?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/l*l*l*l\/l**(-5)*l\/l**6*l**(4\/3))\/(l**(-2\/23)\/(l\/(l*l\/((l\/(l**(-2\/11)\/l))\/l))))**(-18) assuming l is positive.\nAnswer: l**(-3809\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -5. Let h = u + -1. Suppose g - h = -3*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbxbxbbbbbbbbbbb. What is prob of sequence xb?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00139734475 to 6 decimal places.\nAnswer: 0.001397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*i**2 - 1\/4*i**3 + 0 + 0*i.\nAnswer: -i**2*(i + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -11. Let j = i - -1. What is the closest to 2\/5 in j, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 3. Let i(a) = 26*a + 1. Let g be i(n). Suppose -5*h + 1 + g = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 160 + 28 = 0. Let b be 646\/8 - (-33)\/c*-1. Round b to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 s when three letters picked without replacement from {w: 2, s: 7, m: 4}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/21 + 6)*(-16)\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.8 - -6.6. Let d = x - -3.1. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/8*50*-2 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzubbzmbubnuubnbu. Give prob of sequence nn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3\/5 - 258*i**2\/5 - 53547*i\/5 + 53802\/5 = 0. Calculate i.\nAnswer: -98, 1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(12*3\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/5261366 and 119\/254937098?\nAnswer: 2804308078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2743\/9 - 2\/(-9). Suppose -5*k - 2*q + o = 2*q, 2*q = 3*k - 161. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 510 = -2*b, -v + 138 = 4*b. What is the greatest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/13)\/(b\/(b*b\/b**13)*b))\/(b\/b**(-7))**(-16))**(2\/137) assuming b is positive.\nAnswer: b**(2988\/1781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/7 + 93*x**2\/7 - 36*x = 0.\nAnswer: 0, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4681 less than -4690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/2)\/((-2)\/4). Suppose w = c*w. Solve 0 = -j - w*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 4, t: 2, i: 1, p: 4, b: 8}. Give prob of picking 1 p, 1 i, and 1 x.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -57 - (1 + 3)) + 6 + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*i = -27, -9*i + 9*i = -2*y + i + 17 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 31114?\nAnswer: 653394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*s - 545, 3*q - 109 = 2*q + 5*s. Suppose 37 = -3*m + q. Suppose 710 = -19*y + m*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4950, -5022, -5136, -5286, -5466, -5670?\nAnswer: -5892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 56 = 4. Which is smaller: 61 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1928 (base 12) to base 16.\nAnswer: bf0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2073*l**2 + 29 - 29 - 6919*l + 6919*l in the form x*l + c + q*l**2 and give q.\nAnswer: 2073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 24*k + 19935 = 0. What is the remainder when k is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 0*s**2 + s**2 + (0 + 2*s + 0)*(2*s - 4*s + 0*s) + 0 + 0 - 9*s**2 as t*s**2 + w*s + y and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135905 is divided by 3474?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 295.10959546 and -6.\nAnswer: 289.10959546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let v = 3329 - 3329. Let f be (1\/5)\/((-1)\/(-4)). What is the nearest to v in 0, r, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115178, -115176, -115174, -115172, -115170, -115168?\n\"Answer: 2*y - 115180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5773 by 2.\nAnswer: 5773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65 - 4\/(-6)*42\/(-28). Let -119*w**2 + 123*w**2 + 6 + 250 + d*w = 0. Calculate w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-1*sqrt(24))\/sqrt(12) + 2.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 783 and -91336?\nAnswer: 92119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54 + -9 - 7) + -10. Suppose 5*v = -3*q - 563, -5*q + 4*q - 2*v = 187. Let l = q - -331. Calculate the greatest common divisor of f and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4 - 2. Suppose -k = -w + 2. Suppose -4*j - 5 + 37 = 0. What is the smallest common multiple of j and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -41*q**3 - 1. What is h(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnnhonnjnjonjoh. Give prob of sequence hjjj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102749512 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.3 + 5.9. Let g = b + -0.6. What is the smallest value in 7\/5, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3693832*-161\nAnswer: 594706952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918350 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p - 3*s - 45, 0 = 5*p - 4*s + 84. Let l = p - 4. Let a = l - -24. Solve 5*k = a*n - 32, -3 = k + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-284)\/(-4260)*15\/48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -3*1)\/(-2). Let x(g) = -13*g**2 - g**3 + 18*g**3 - 4*g + 15*g**2. What is the hundreds digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 46*v - 6. Determine r(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200569?\nAnswer: 200569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 646811984 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/3 - 1017*w + 40416474 = 0.\nAnswer: -12642, 9591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8 - (0 + 14)) + 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/50 + 9*j**2\/2 + 9*j. Let n(q) be the first derivative of l(q). Let n(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-0.21384\nAnswer: -0.32076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53\/39474154 + -667566861539\/218844709776. Let d = r + 5\/1008. Calculate the common denominator of 5\/8 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -2*o**2 + 3*o**2 + 5*o - 4 - 11*o + 0*o**2. Let c be ((-18)\/15)\/((-3)\/10). Determine j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9082.919l in millilitres?\nAnswer: 9082919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*h + 6, -h - i + 4 = -0*h. Let b be -4 - 2*h - 7. Let n(c) = -2*c - 8. What is the remainder when n(b) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 10. Let c be h(-8). Suppose 2*f = 3*f + 3*a, c*a = -3*f + 7. Suppose -3*p - w + 26 = 0, -3*p + 4*w + 4 = f. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and -10.667.\nAnswer: -608.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4 + 509560*t**3 + 11211844*t**2 + 52494248*t - 64215648 = 0.\nAnswer: -14, -9, 1, 127412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.72 + -11.7214499. What is j rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159843727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18880\/71 - 266. Which is the nearest to -1? (a) -3 (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*o = 19, 0 = -22*i + 19*i + 2*o + 5. Let j(t) = -t - 4. Let k(s) = -3*s - 5. Let l(w) = i*k(w) - 4*j(w). Give l(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(72)\/(sqrt(28)\/sqrt(7)))\/(sqrt(6)*-3*5).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:30 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*f - 58, -5*z = -3*f - 21 - 17. Let d = -5 + z. Suppose 31 = d*x - 19. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*p + 56, -3*p - 53 = -2*f + 5. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -626 or 4881?\nAnswer: -626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2632)\/75012 - 322\/570.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1420*d**2 - 1616*d**2 - 2*d + 867*d**2.\nAnswer: -2169*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -66, 459, -37, 5, 1 in increasing order.\nAnswer: -66, -37, -1, 1, 5, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -609024*x - 12180499. Determine b(-20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1045581.756 - -8557.\nAnswer: 1054138.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 11*c**2 + 8 - 158*c - 9*c**2 - 1 + 303*c.\nAnswer: -20*c**2 + 145*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4528091 or -13584274\/3?\nAnswer: -13584274\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 280 + 331. What is the highest common divisor of j and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 217?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23189000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11239\/8 + -1404. Let y be 2\/4*12\/21. Which is the third smallest value? (a) 3 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**15)**50\/(q**(-20)*q**(6\/19)*q))**(-34) assuming q is positive.\nAnswer: q**(-528870\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**5 + 658*l**2 + 87*l + 1.\nAnswer: -60*l**3 + 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200799800 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let v(l) = -l**2 + 2*l. Let q be v(t). Does 7 divide (1 - 21)\/(q + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -10*s + 58. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12462, 29434, 57720, 97320, 148234, 210462?\n\"Answer: 5657*a**2 + a + 6804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 19*u - 6*n = -2*n + 122, 4*u + 5 = -n - 0*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 7*a - 27 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 22\/3*l**3 + 0*l**2 + 9*l + 17. Differentiate q(s) with respect to s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6543601cm in kilometers?\nAnswer: 0.000006543601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - 4 - 7)\/((-4)\/6). Let u be (4\/r)\/((-4)\/108). What is the greatest common factor of 126 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(242) + sqrt(242) + -2 + 2) + (2 + (1*sqrt(128))**2 - (3 + sqrt(6)\/sqrt(3) + sqrt(32)*6)).\nAnswer: -3*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -103919, -2\/3.\nAnswer: -103919, -5, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 309*y**2\/2 - 1292*y - 2963. Differentiate l(m) wrt m.\nAnswer: 309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wggoggogwgwwg.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2617390 is divided by 1179?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201625, 806479, 1814567, 3225889, 5040445, 7258235, 9879259?\nAnswer: 12903517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5212*l + 411771. What is x(-79)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -339.7 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18524445*z**5 - 31915424*z**2 wrt z?\nAnswer: -1111466700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 - 28*f - 352 = 0. Calculate f.\nAnswer: -8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73*k**2*z - k**2 + 253*k - 2*z wrt z?\nAnswer: -73*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1590.3219 and -53.1513.\nAnswer: 1537.1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 8*q + 9*q - 2*q + q + 2*q - 2*q - q + q + (0 - 1 + 3)*(4*q - 4*q - q))*(-5*q - 7*q + 6*q).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l - 1. Let n be d(-1). Let y be ((-10)\/4)\/(n\/2). Let s(u) = 5 - u - y. Let f(o) = -o. Give s(f(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**24*(h*h**(-1)*h)**(-36))**(-19) assuming h is positive.\nAnswer: h**912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51740 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 3*d**4\/2 - d**3\/2 - 3*d**2\/2 - 13. Let o(v) be the second derivative of w(v). Is o(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 421?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -242995 divided by -5\nAnswer: 48599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5011.93 + -5012. Which is the fifth smallest value? (a) -1\/3 (b) i (c) -1.2 (d) -0.1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4012, 2026, 40, -1946, -3932?\n\"Answer: -1986*o + 5998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1057, -2006, -3589, -5806, -8657, -12142, -16261?\nAnswer: -21014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 11) + (-2 + 5 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 23*k**4\/4 - 71*k**3\/9 - 68*k**2\/3 + 4*k\/3 - 792. Find f such that u(f) = 0.\nAnswer: -1, 2\/69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -560694486 to the nearest 100000.\nAnswer: -560700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -41. Let j = 31 + 0. Let t = -33 + j. Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 25. Let i be a(19). Suppose -i = -y - 11. Let h(d) = -d**2 - 7*d - 6. Determine h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*d + 200. Suppose 59 = -5*t - b, -2*t - d = -0*t - b. Let j be t\/14*(-12)\/(-8). Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, a: 5, t: 5, p: 2}. What is prob of sequence at?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32490103 + -19788201.\nAnswer: 12701902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -3*1\/(-3) + 4327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72 or -74?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y**5 + 16*y**4 + 124*y**3 - 328*y**2 + 270*y - 72 = 0.\nAnswer: -4, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 125*y - 18. What is the units digit of a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 2*t**5\/15 + t**4\/24 - t**3\/3 + t**2. Let a be ((-32)\/14 - (-10)\/35)\/(-2). Is m(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 132435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 48, 116, 232, 408, 656?\n\"Answer: 2*l**3 + 6*l**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2 - 7, -4*n = -2*j + 20. Let g(v) = 2*v**2 - 5*v - 2. Let t be g(j). Suppose -11*m + 2 = -t*m. Solve 0 = m*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -4 + -40 + (-42 - 16)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64237?\nAnswer: 64237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 - 20. Let f = o - 80. Which is the third smallest value? (a) 0.3 (b) f (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 6. Let j be s(0). Suppose j*o - 10 = o. Which is greater: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -13. Suppose 12*c = 16*c - 268. Let s = -43 + c. Calculate the highest common divisor of s and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7\/3, 5\/4, 5\/196, -4 in decreasing order.\nAnswer: 5\/4, 5\/196, -2, -7\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.94 - -0.06. Let r = 13 - k. What is the nearest to 0 in r, 4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i + 30. Let u be g(4). Let k = 0.8 + -1. Is k >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/3)*i**(-2) assuming i is positive.\nAnswer: i**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 171. Solve h = 5*s - 5, s + h = -z*h + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1\/4 (b) 0 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n. Let v be p(10). Let w = v - 67. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73038177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9136 divided by 10\nAnswer: -4568\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83196874 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-68)\/16)*2388 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21375 (base 8) to base 6\nAnswer: -105245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - -8) + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuv when three letters picked without replacement from {v: 5, l: 2, u: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6 - 117859*r**3*t**2*v - 2*r**2*t - 3*r*t**2*v + 535*t*v wrt r?\nAnswer: 120*r**3 - 707154*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - b4b39?\nAnswer: -b4b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -413979 divided by -137993\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - -3.45. Let r = b + -0.05. Let p = -2 + 2.2. Put r, p, -1 in decreasing order.\nAnswer: r, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/((37 - 31)\/4272*2).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ba4 + 4986?\nAnswer: bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*v + 310 = 0, 5*v + 571 = 3*j + 108. Let x = 148 - j. Let h = -0.05 - 0.95. Which is the biggest value? (a) x (b) h (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 18. Put 1\/5, 0, -3, l in ascending order.\nAnswer: -3, 0, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 136 = 662. Let r = c + -114. Let j = 0.15 + -0.05. What is the closest to j in 2\/5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2)*(6 + -5). Let n be (-1)\/(0 - (4 - h)). Suppose -6*c = -3*c - 33. Calculate the greatest common divisor of n and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 53617*h - 320692. Calculate o(6).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(1\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -360.3, 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 3*m**3 + 2*m**3 + (-4*m + 3*m + 3*m)*(-5*m + 4*m + 3*m)*(43*m + 18*m - 13*m).\nAnswer: 191*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(99)*-2)\/(sqrt(900)*1*5).\nAnswer: 6*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -2*v - 3*t, -2*t - 42 = v - 194. What is the highest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -377 or -376?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a week in hours?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*h**2 - 180*h**2 - 154*h**2 + 718*h**2 - 5*h + 5*h - 164*h**2.\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -221474 (b) -3 (c) 0.5 (d) 5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c + 7. What is the nearest to -1 in 0, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7025.4506 from -1.\nAnswer: -7026.4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m - 5. Let d(y) = -2*y**2 + 3*y**2 + 1 - 5*y + 3*y**3 + 3*y. Let t be d(1). Put 5, m, t in ascending order.\nAnswer: m, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -163220*-0.8\nAnswer: 130576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14 + 0\/(-4)) - 152\/532?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Suppose f - 6*f - 5 = n*t, -3*t = f + 11. Solve -20 = f*i + 3*c, 0*c + c - 10 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccclll. Give prob of sequence ll.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/38 - -28\/19. Let 3\/2*u**4 - 3\/2*u**2 + 0 + 0*u - b*u**5 + 3\/2*u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) -5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*j**5 - 123*j**4 - 48*j**3 + 9*j**2.\nAnswer: -3*j**2*(j + 1)**2*(22*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:34 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - (-249)\/(-9))\/(75\/(-450))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Suppose -r*k + 151 = -864. Suppose -k = p - 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 - 4*a**2 - 2*a**2)*(56 - 183 + 75) to the form t*a**2 + y*a + k and give t.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.4 * -0.921.\nAnswer: -23.3934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107459298 and 35819766?\nAnswer: 107459298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*x = x - 18, -2*z - 4*x = -18. What is the units digit of 53\/3 + z\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*m - 175*m + 849 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011011000011010 (base 2) in base 6?\nAnswer: 12004510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qeqbmqtq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -750, -787, -824, -861, -898, -935?\n\"Answer: -37*r - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -56. Let a = 40 + m. Let n = -0.1 - 0.4. What is the nearest to -1 in a, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 36041?\nAnswer: 2\/36041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34950820.\nAnswer: 2, 5, 1747541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 3. Let l be 0\/(-4 + 3)*1. Let w be p(l). Solve w + 3 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 18 = 2*z. Let x be (5 + z)*(0 + 18). Is 171\/x*(-2)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23775 = 1531*p + 1743*p + 857 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 70*r**3 + 60*r**2 - 760*r - 1120.\nAnswer: -5*(r - 14)*(r - 4)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-14)*1519\/434?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 719 and 782272.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 35. Calculate the highest common divisor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124124 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*g**4\/4 - 587*g**3\/4 - 1257*g**2\/4 - 597*g\/4 + 17\/2 = 0. Calculate g.\nAnswer: -1, 2\/39, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33696 is divided by 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 26389 + 5095. Is m a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biwwiiwwwiywwibw. What is prob of picking 2 b?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2760*m + 2076. Let g(y) = 1377*y + 1039. Let n(p) = -5*g(p) + 3*j(p). Differentiate n(b) with respect to b.\nAnswer: 1395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2987, 7321, 11655, 15989, 20323, 24657?\n\"Answer: 4334*j - 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19257 and 2227.\nAnswer: 327369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38819 by 5.\nAnswer: -38819\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c**4 + 3201*c**3 + 166518*c**2 - 458784*c - 209952 = 0. What is c?\nAnswer: -108, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2266, -4526, -6788, -9052?\n\"Answer: -b**2 - 2257*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225 - 160. Suppose m*o - 64*o = 3907. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -43.5.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/50490 and 70\/86151087.\nAnswer: 861510870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1055717, -1055773, -1055857, -1055963, -1056085?\nAnswer: -1056217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1018 + -82450\/81. Is d at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1031 - -1038. Let a(v) = -v**2 + 5*v + 2. What is the remainder when j is divided by a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291.5 + 72.5. Let g = -363.63 + s. Round g to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 95. Let i be 2\/(-7) - j\/7. Let x = 17 + -12. Calculate the highest common factor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/9)\/((n**(-3\/2)\/n*n)\/n))**(-2) assuming n is positive.\nAnswer: n**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.115267 and 1779063.\nAnswer: 1779063.115267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2016 by -63.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i + 1. Let q(o) = -o**2 + 18. Let d(r) = r**2 - r + 2. Let u(p) = -30*d(p) + 5*q(p). Determine -u(t) + 30*z(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 15. Suppose 0 = -g*u - m + 6*m + 6, 3*u - 2*m - 15 = 0. Solve 3*y = u - 4, -3*y = p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 225 = -0*r. Let x(w) = -w**3 - w**2 + w - 14. Let q be x(0). Let a = q - r. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a - 0*a + 5*t, -5*a - 2*t = -12. Suppose -11 - a = 13*q. Calculate the lowest common multiple of 18 and (-156)\/(-18)*(7 + q).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoou. What is prob of sequence ou?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2412)\/54*((-747)\/(-332))\/(3 + (-9)\/4)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 + 11326680*o - 10691139985200 = 0. Calculate o.\nAnswer: 1887780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 222*m + 13*m + 860 + 12208 = 0 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p - 1. Let i be v(1). Let q(z) = 1 - 3 + 3 + z - 3. What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 70*c + 4104 = 74*c. Solve 3*n + 9 = 3*q, -c*n + 39*n - 3 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17264491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.1. Let l = -17.176 - -5.176. Is l > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/20 and -121\/49344.\nAnswer: 246720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 204?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 30*q + 63. Calculate w(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-3))\/(1\/6)*-1. Let f = 24 - 12. Let c be (-3)\/h + 9\/f. Sort c, -2, 1 in descending order.\nAnswer: 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 264 + 359ba7?\nAnswer: 35a24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 165560 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54340 = -3*f - 17*f. What are the prime factors of f?\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -486097, -486105, -486113?\n\"Answer: -8*m - 486089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4131309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 - 10*x**2 + 8*x - 77. Is i(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 150404.\nAnswer: 902424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.0399, -26\/9, 3, -1\/28 in descending order.\nAnswer: 3, 1, 0.0399, -1\/28, -26\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3653*t = 40*l + 3650*t + 126, 4 = -4*l - 4*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:29 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*u + 37 = 0, -4061*g - 90 = -4065*g - 5*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 923 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 7*k**2 + 6*k - 5. Let a be s(-6). Let p(i) = i + 3. Let c(m) = m + 2. Let x(l) = 2*c(l) - 3*p(l). Calculate x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 + 129576*c**3 - 19*c**2 - 9451*c**3 + 18451*c**3.\nAnswer: 138576*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 2.4, 0 in decreasing order.\nAnswer: 4, 2.4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358986.\nAnswer: 2, 41, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87272606149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 8070\/(-230)) + (-15 - -2)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 72*i - 651.\nAnswer: 3*(i - 31)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = p - 65, 25 = -0*p - 5*p. Suppose 19*f - 21*f = -o. Suppose -2607 - 326 = -f*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-907 + 50*y + 907)*(0*y + 5*y - 3*y) to x*y + l + a*y**2 and give a.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378929477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/4)*(u\/u**3)\/u*u*u)\/(u*u**(-1))**(2\/27) assuming u is positive.\nAnswer: u**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/59310 and -97\/20.\nAnswer: 118620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 21) + 10 + -94 - (-1 + 14)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - -12. Let g = -5 - -17. What is the least common multiple of g and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 + 11 = 0. Suppose -23 = -4*u - 2*g + 19, -2*g = q*u - 26. Suppose -2*b + 6 = 4*h - 0*h, -u = -5*b - 3*h. Which is bigger: b or -2\/57?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*d - 2*y = -150*d - 4018, 0 = -3*d - 4*y + 12040. Calculate the smallest common multiple of d and 728.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 12\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttfffvtfvfttfff. What is prob of sequence vt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t**3 - 10*t**2 + 35*t. Let p(z) = 3*z**3 - 2*z**2 + 7*z. What is 11*p(j) - 2*r(j)?\nAnswer: 3*j**3 - 2*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046 - 15174.22.\nAnswer: -15174.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j = 153 - 528. Let l(s) = -8*s + 1. Let r be l(-3). Let i = r - j. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 2*l**2 + 0*l**2 + (5 - 4 - 2)*(3*l**2 - 5*l**2 + 3*l**2) + 224*l + 673*l**2 - 224*l + 5 + 2*l**2 - 3*l**2 - 3.\nAnswer: 670*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - -9 - (-1 - 1)\/2. Solve -3*y = -3*r, -5*r - 11 - d = 3*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/7)\/(n**(11\/2)\/n) assuming n is positive.\nAnswer: n**(-71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**3 + 886*r**2 - 86444*r + 2823564. Let o(t) = -6*t**3 + 885*t**2 - 86442*t + 2823567. Let p(x) = 4*o(x) - 3*q(x). Factor p(y).\nAnswer: -3*(y - 98)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbbsbbmsoqb. What is prob of picking 1 q, 1 s, 1 m, and 1 b?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1683.9?\nAnswer: -8419.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*o**5\/3 + 135234*o**4 - 2605324*o**3\/3 - 5372120*o**2\/3 + 778288*o + 5237120\/3 = 0. What is o?\nAnswer: -14\/11, 1, 8, 1670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 0, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2658*t**2 + 4*t**3 - 2658*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*j**5 + 12*j**2 - 2*j.\nAnswer: 14100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 380 + 92 = 0. Let d be t\/15 + 8\/20. List the prime factors of 62 + d + (2 - 3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 519504267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 = -9*i + i. What is the lowest common multiple of 56 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*q**2 - 75*q**3 - 841*q**3 - 42*q**2)*(-4*q + 0*q + 2*q).\nAnswer: 1832*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(22\/165). Let n(m) = -13*m - 11. Let z(q) = 12*q + 10. Let r(p) = c*z(p) - 4*n(p). What is the first derivative of r(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -80*l - 158. Let a be j(-2). Let 0*z + 8\/7*z**3 - 2\/7*z**a - 6\/7*z**4 + 0 = 0. What is z?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, 199, -2\/15, 4, -0.2.\nAnswer: -0.2, -3\/16, -2\/15, 4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19241612*l**2 + l**3 - 19241612*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203292 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 239276413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 + -2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhkhmmhhhmmhmmph. What is prob of sequence kmp?\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*r - r - 4*r as s*r + b and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5191c (base 13) in base 6?\nAnswer: 3050244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 24 = 4*m, -m = -4*g + 12. Find s such that m + 2*s**2 - 2*s - 4 - 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Let u = -469 - -467. Which is the nearest to 0? (a) u (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7872, 15746, 23620?\nAnswer: 31494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (-840)\/15 + 53\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 + 1275690*d - 7654068 = 0?\nAnswer: 6, 637839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24400 - -1013?\nAnswer: 30413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 + -326. Suppose c*f + 12 = 7*f. Solve 4*z = 4*b + 4, -2*z + f*b + 19 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.1, 4, 76, 0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 964428184 a multiple of 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*m, -4*m + 367 = -5*r - 63. Let t be (-1)\/(-3) - r\/(-27). Which is the third smallest value? (a) -9\/7 (b) -0.5 (c) t (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*l + 101*l = -60*l - 66*l + 6206 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:11 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2918\/57 and -50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1910*o**3 - 7*o**2 + 14*o - 7. Let d(g) = 1273*g**3 + 5*g**2 - 10*g + 5. What is -5*b(u) - 7*d(u)?\nAnswer: 639*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 49*x - 15. Let g be j(6). Calculate the greatest common divisor of g and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 + 5.8. Round t to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184258000 rounded to the nearest 1000000?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (173 + 11612)*(0 - 2\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(10\/13)\/a*a)**(-1\/44)\/(a**(10\/13)*a**(-43)))**(-2) assuming a is positive.\nAnswer: a**(-12073\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 - 4*z + 4. Let f(v) = -5*v**3 + 27*v**2 - 19*v - 4. Let m be f(5). Let q(d) = -35*d**3 - 49*d + 49. Calculate m*i(r) + 4*q(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.56134562 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 6. Let h be s(0). Let o be 1*(-9)\/h + 1\/2. Suppose -2*z = o*z - 124. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*z + z - p, -3*p + 12 = 0. Suppose -z*b + 1085 = -b. Suppose -5*m + 0*q + q + 264 = 0, 5*q = -4*m + b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.839539 at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 - 184 = -o. Suppose -794 = -6*c - 290. Suppose 20*t = 27*t - c. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 5. Let v = 7 + -2. Let n be i(v). Solve -3*p - 4*f = -2*f - 5, 5*p + 2*f = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -9. Suppose j = -z + 1. Sort 4, z, 19 in descending order.\nAnswer: 19, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -8\/3, 2, -143?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -15. Suppose -x*u + 29 = -2*u. Sort -2, u, -4.\nAnswer: -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 2}. What is prob of sequence ajj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 7452.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x**2 + 3*x**2 - 15*x**2)*(-21 + 24 - 2*x + 0*x) + 0*x**3 - 2*x**3 + 4*x**3.\nAnswer: 60*x**3 - 87*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 4 - 6\/2. Suppose 7 - l = 4*h. Let o be ((-1)\/(-2))\/(h\/3). Which is greater: -2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 112 = 26*p. Calculate the greatest common divisor of p and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(600) + sqrt(6))\/((sqrt(8)\/sqrt(4) + sqrt(2))*-6).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -621 (b) -0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-9585))\/((-68)\/51)*(-85)\/17?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*l - 2. Let s(h) be the third derivative of h**5\/60 + h**4\/8 + h**3\/3 - 4*h**2. Give s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-10)\/195 - (-19)\/(-19)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447 (base 15) in base 16?\nAnswer: -1e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*3\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4303543954 take away 7.46?\nAnswer: -19.8903543954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*j**2 - 24511*j**2 - 80001*j**2.\nAnswer: -103914*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:19 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 499720 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30 - 49 + 24 + 4*d. What are the prime factors of b(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6389637 - 0.639. Round g to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 - 2*j + 2. Let f be t(6). Let u(g) = g**3 + 8*g**2 + 8*g + 9. Let z be u(-7). Suppose z*w - f = -0*w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/(2\/(-30)). Suppose 42952 - 2952 = m*x. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9556 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 453.022 and 679885.\nAnswer: 680338.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7)**(-43) assuming v is positive.\nAnswer: v**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*5*-4)\/(sqrt(448)*3).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119936023 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/100 - p**4\/10 + 3*p**3\/10 + p**2\/2 + 5*p. Let q(j) be the first derivative of f(j). Suppose q(k) = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*q + 19 = -2*w, q - 1 = -2*w. Solve w*x + 2 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 324 + 9*q + 3*q - 6*q - 8*q to the form a + h*q and give a.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 4*d**2 + 19 + 14*d**2 - d**2 - 40*d**2 + 9*d**2.\nAnswer: -14*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m. Let g(y) = 13*y**2 + 158000*y - 158000*y. What is s(g(j))?\nAnswer: 91*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, h: 2, u: 1, l: 7, c: 3}. What is prob of picking 1 c and 1 l?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13302 - 29690. Let c = 7305 + b. Let q = 72753\/8 + c. Find the common denominator of -99\/2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 73?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/((-1)\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f - 1. Let m be v(-2). Let p(s) = -s**3 - 2*s**2 + 4*s - 1. Give p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(36)*2 - sqrt(4))*5 + 1*(sqrt(1700)*-1 + -4).\nAnswer: -9*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 40*p - 40*p.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14368*a**5 + 274*a**3*k**2 - a**3 - 438*a**2*k**2 - 539*a*k**2 + a*k + k**2 - 2*k wrt a.\nAnswer: -862080*a**2 + 1644*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)\/((-11)\/((-22)\/4)). Suppose -10*g + 494 + 2496 = u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7948 is divided by 397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + sqrt(17) + 1.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus -3536405?\nAnswer: -3536383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142359?\nAnswer: 3, 7, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o*o\/((o*o**(-2\/19)*o)\/o)*o))))\/o**(2\/59))**(-9) assuming o is positive.\nAnswer: o**(11493\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87\/4 - 22. Which is greater: y or -106?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2771 - 2772. What is the nearest to 1\/4 in 10, 8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1920 = -9*d - d. Let x = d - -112. Let w = 92 + x. Solve 2*g = 6*g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose -16 = -a*m + 2*m. Suppose -w = -l + m, -5*l + 60 + 5 = -2*w. What is the remainder when 20 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*v = 3*s + 3, 3*s = -v - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(56)\/sqrt(8) + sqrt(7))**2 + (sqrt(343) + 0 - sqrt(343)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a + 5*m - 210 = 0, 15 = -5*m. Let d = 48 - a. Solve 0 = z - 5*t - 19, d*t - 2*t - 13 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.6. Let i = a - 4.6. What is the third smallest value in i, -0.1, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5. List the prime factors of 16 - t\/(-1)*0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8264971 and 85\/43578938.\nAnswer: 479368318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 36 = 4*w, -4*y + 64 = -4*w. Solve y = -2*s - 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2. Let k be (-1)\/((-2)\/20)*16\/40. Suppose -k*m = 4*t + 12, 0*m - 1 = -m + 3*t. Let h(a) = a - 1. What is m*z(o) + 3*h(o)?\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/30)\/((-12)\/(-10)). Which is the nearest to -2\/3? (a) z (b) -18 (c) -5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -470*t**2. Let w(d) = -7*d - 11*d + 32*d - 12*d. What is j(w(b))?\nAnswer: -1880*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*q**2*s - 1284*q**2 + 10*s wrt s.\nAnswer: 170*q**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3657154329 to the nearest 100000.\nAnswer: 3657200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150\/15*2379\/(-7930)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnxxnhrniniriirxurn. Give prob of picking 1 h and 1 x.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 428840 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-4))\/(1569\/(-3138)))\/(11\/8)?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -29. Let f(y) = 5*y**2 - 2*y - 2. Calculate the remainder when f(3) is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1100011111010 (base 2) to base 11\nAnswer: -4893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*a - 6. Solve -2*s = -a*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 20 = -17*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32222833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -1\/21*o**3 - 9\/7*o - 3\/7*o**2 + 7. Let d(n) = 0. What is n?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 4*w + 47*k - 87*k + 47*k, k - 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**4 - 31492*s**3 + 143333*s**2.\nAnswer: -24*s - 188952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 4434884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 792 = 12*r. Let s = 73 - r. Is 2 a factor of 2 - (2 - 3)\/(s - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f*m**3 + f + 155*m**3 + 25*m**2 + 2*m wrt m?\nAnswer: 24*f + 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.244 and -66.67998.\nAnswer: -66.43598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5640 - w**2 + 6*w**2 + 16087786*w - 16088531*w = 0.\nAnswer: 8, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) + -2 + sqrt(882) + 2)*-1*6 + 1)**2 + -5.\nAnswer: -504*sqrt(2) + 127004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:06 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/35))\/o*o)\/(o**(7\/8)\/o) assuming o is positive.\nAnswer: o**(587\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -44*y + 4. Let f(m) = m + 1. Let h(o) = 3*f(o) - s(o). Let t be h(4). What is the highest common divisor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 4*c + 23. Let m(x) = -x**2 + 3*x + 17. Let h(t) = -4*m(t) + 3*z(t). Let a(u) = -5*u**2 + 2*u + 19. Calculate a(q) + 3*h(q).\nAnswer: -2*q**2 + 2*q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3627)\/(-59241)*(-56)\/40\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -6\/13, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c95 + -5300?\nAnswer: -4338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2776*b*k**3 - 168*b*k**2 - 4*b*k wrt k?\nAnswer: -16656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - t + 11 = -7*j, -j = 5*t + 23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 186?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202247 + 16237821 = -2*g. Let d = g + 12117787. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1615, 3238, 4873, 6526, 8203, 9910?\nAnswer: 11653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - -21*5\/(-351). Which is the nearest to 1? (a) -2 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 22*b - 18. Let u be i(-23). Solve -5*p + u*h - 15 = 0, 6*p + h = 5*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 23*b**2 + 17. Let f be n(-23). Solve f*h - 5 = 18*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbhbhhh. What is prob of sequence bbhb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*i - 4*s + 46 + 9, 0 = 2*i - 18*i - 5*s - 197 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -56*d**3 - 2*d**2 + 4*d - 2. Let p be r(2). Suppose 1826*f - 1923 = 1823*f. Let m = f + p. What are the prime factors of m?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-3)\/1))\/((-19)\/38)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p = 13*p + 198 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 - 4*z + 4. Let s be u(-4). Suppose s + 2 = 3*f. Let b = -26 + 77\/3. What is the second smallest value in b, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -21, -80, -185, -342, -557, -836, -1185?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i + 355. Give q(31).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)*y)\/y)\/y**(-1\/2))\/((y*y\/(y*y**(7\/3))*y)\/y*y\/y**(5\/2)) assuming y is positive.\nAnswer: y**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a gram in milligrams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-70 - -65) - -89.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*z + 1422, a - 5*z = -3*a + 1893. Suppose 3*r - x - 189 = 0, -21961*x + 36 = -21965*x. Calculate the remainder when a is divided by r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27.5 in -4\/7, 3\/8, -2\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 - 9 + 2*s**3 - 8*s - 7*s**2 + s**3. Let t be a(-6). What is the second derivative of -t*z + 46*z**4 + 0*z**2 + 0*z**2 - 29*z**4 wrt z?\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/11 (b) -0.746 (c) -3 (d) 11 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbvboexex. Give prob of sequence bbc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46857901.\nAnswer: 109, 429889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.512 - -0.012. Let k = 127834.4927 + -127851. Let j = b - k. What is j rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and 6?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.175329um to centimeters.\nAnswer: 0.0001175329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(11*w + 9*w - 18*w)*(3 - 3 - w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -29*p**3 + 93*p**2 - 2*p + 16. Let i(g) = -9*g**3 - g**2 - g - 2. Give c(l) - 3*i(l).\nAnswer: -2*l**3 + 96*l**2 + l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(48)*2)**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 7. Let g(y) = -5*y - 15. Let a(j) = 4*g(j) - 9*v(j). Let u be a(-7). What is the units digit of (2 - 4) + u + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -163 - 853. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63.52984 centuries?\nAnswer: 6.352984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4551.6909 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -8*a + 2, a - 2564 = -z. Suppose z = 3*v + 2*y - 897, -2299 = -2*v + y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -23\/8*f**4 + 0*f + 1\/30*f**6 + 0*f**3 + 75*f**2 + 4\/105*f**7 + 0*f**5 + 0. Find the second derivative of o(u) wrt u.\nAnswer: 96*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 2*c**3 + c**4 + (0*c**2 - 2*c**3 + 0*c**2)*(-323*c - 312*c - 221 + 639*c) to the form t*c + m + a*c**2 + i*c**3 + k*c**4 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 1486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 10*j**2 + 75*j + 9. Calculate y(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -52*s + 15. Let q be w(-6). Suppose 0 = -7*y - q + 796. Let d(u) = 33 - u + 32 - y. Give d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 7*t + 11. Let a be m(-8). Let i = 315 - a. Let p be 13 + 1 + -3 + 2. Calculate the greatest common factor of i and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2232\/342)\/(-124) + (-3303)\/57?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/156 + 4\/39. Let x = -123 - -1841\/15. Put -3\/7, m, x in increasing order.\nAnswer: -3\/7, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47676398 and 1694?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 + 6*s + 5. Let g be a(6). Suppose 25*c - 1598 = -2373. What are the prime factors of -15*(c\/g - -5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -211, -233, -293, -409, -599?\n\"Answer: -3*l**3 - l**2 + 2*l - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6987082369 less than -0.1?\nAnswer: 6987082368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 414744?\nAnswer: -82948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1474.1511 - -3\nAnswer: -1471.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 55*n - 433. Give g(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 5. Let i(f) = -2*f + 3. Suppose -q + 6 = 3. Suppose z = q*z - 6. Suppose -z*u - 11 = o, -u - 4*o = -0*u + 11. Give u*v(r) + 5*i(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-156))\/((-3)\/4). Which is the nearest to 0? (a) -4\/9 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*n + 131*n = 1448. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2 - 12*z + 7 to the form v + a*z and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1. Let x(y) = -y - 7. Let m(h) = 5*v(h) - x(h). Let b be m(-4). What are the prime factors of (12\/(-9))\/(b\/30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 5*g - 5. Let w(h) = h**2 - h + 1. Let c be -2*(6\/(-20) - 25\/125). Determine c*q(f) + 5*w(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16740)\/4464 + 73\/(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5\/6 (b) 3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -d + 2*o, o = 0. Suppose -d*v - 20 = v. Let z = 3\/2 - 2. Which is the third smallest value? (a) z (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32693703641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993.1972 grams to micrograms.\nAnswer: 993197200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -581*m**2 + 2 + 40*m + 115*m**2 - 40*m as q*m + n*m**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from qrrqrwqqqqwrcqwrc?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*i - 298*i + 4*i**2 - 6*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 217 = -2*x + 32, 4*p = -3*x + 718. List the prime factors of p.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147, 295, 443, 591?\n\"Answer: 148*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214668 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95038 and -17.4.\nAnswer: -1653661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*l - 79*l + 3*n, -2*l = -n. Let x(a) be the second derivative of l*a**3 - 1\/150*a**6 + 0*a**5 + 0 + 1\/60*a**4 + 0*a**2 - 13*a. Factor x(d).\nAnswer: -d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose -2*i - 3*t + 8 = 0, q - 20 = -4*i + 4*t. Suppose l = 5*d + 4, 2*l - 2*d + i*d - 32 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + 1 - (-6 + 10 + -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 12*f + 2*t - 18, 25 = -5*f + 5*t. Put -13, -5, f in descending order.\nAnswer: f, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 85 (b) -2 (c) -4 (d) -0.5 (e) 121 (f) -5 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:06 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7515.9 + 27\nAnswer: 7542.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1900)*4 + (-2*sqrt(152))\/sqrt(8) + 0)**2.\nAnswer: -304*sqrt(19) + 27452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1350425 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237788.62 + -5.67992.\nAnswer: 237782.94008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmt when three letters picked without replacement from {m: 1, h: 6, t: 2, i: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p. Let i be -8 - -17 - (p + 3). Suppose -i*u - 137 = -671. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11575 - 11580. Let v be 3*(2 - 0) - -1. Let y = -20\/3 + v. Which is the third smallest value? (a) -4 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 1\/2 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - k**4 + (39*k - 16*k**3 - 39*k)*(-4*k + 4*k + 2*k) + (2 - 5 + 2)*(-k**2 + 2*k**4 + k**2) + k**4 + k**4 - k**4 - 44*k**4 + 66*k**4 + 52*k**4.\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3*3\/(-2). Suppose -t + c = 6. Let l(z) = z + 1. Calculate l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 5*b + 2. Let d(x) = x**2 - 10*x - 8. Let z be d(11). What is g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-228)\/645 + 10\/25. Is f not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162509 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*b + 122 - 120*b - 122.\nAnswer: 338*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -743 (base 8) to base 7\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*w = 47, r - 2*w + 1 + 10 = 0. Let q be (5 + 42\/r)*36. Solve -3 = 3*f + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3292 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506 less than -371?\nAnswer: -2877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4535, 4537, 4539, 4541, 4543, 4545?\n\"Answer: 2*q + 4533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1000000100100100 (base 2) to base 4\nAnswer: 20010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**7\/8820 + n**6\/1260 - n**4\/8 + n**2. Let j(g) be the second derivative of y(g). Factor j(o).\nAnswer: -2*o*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -328\/11. Let d = -220.9 - -213.9. Which is the third smallest value? (a) 1 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.41 - -13.06. Round q to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 - 1674*k**2 - 300588*k + 2185456 = 0.\nAnswer: -158, 7, 988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058308334 rounded to 4 decimal places?\nAnswer: 0.0583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 172459.\nAnswer: 172459.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*r + 2*s + 4, 0 = 5*r - 2*s - 4. Suppose 0 = -4*w + 2*d + 4, 0 = 4*w - r*w - 4*d - 8. What is the closest to 1 in -3, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -207332 + 4?\nAnswer: -20732e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22715 + 39977 - 22886)*(4*q + 0*q - 6*q)*(4*q - 5*q - q).\nAnswer: -22496*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2246 + -0.0746. Which is the second smallest value? (a) 0.4 (b) -2\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -118, -164?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 - -0.3. Let x = u + -0.02. Is 2 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*f + 13 - 1 = 0, 3*q + 3 = 3*f. Find the third derivative of 40*l**q - 17804 + 88*l**3 + 17804 wrt l.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(4)\/sqrt(2))*-2.\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*d - 22, -3*m - 124 = -4*d - 128 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:17 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(11) + (sqrt(11) - sqrt(176)))*-6 - (sqrt(77)\/sqrt(343) + sqrt(11))) + 0)**2.\nAnswer: 63389\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20891 - 7133. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (-132)\/(-55)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*z - k - 20, 2*z + 3*k - 16 = 0. Let n be z\/(-1) + 1 - -1. Is (-261)\/(-12)*(4 + n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 17. Suppose -5*u + u + 16 = 0. Suppose -3*h + 4*v + 0*v = -1, -u*h - 5*v + 22 = 0. Solve 0 = -3*l - 4*y + p, h*y = -2*y + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 34*p**2. Let t(f) = 2*f**2 - 2990. What is t(u(n))?\nAnswer: 2312*n**4 - 2990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 201568163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -990.6 - -1246. Let y = l + -255. Let a = 0.6 - 3.6. What is the nearest to 1\/4 in y, a, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**3 + 0*y**3 + 5*y**3 + 53 - 33 - 20.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 10. Let x be k(3). Let w = 26 + x. Solve q + 2 - 5 = w*p, -3*q - 21 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - (-2)\/3. Let r = 0 + -4. Sort r, b, 2\/5.\nAnswer: r, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 108 = 411. Let o = -165 - -182. What is the remainder when t is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 7 + 4 + 1 - 3 to h + k*m and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.011\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*z - 11886 = 0, 14862 = 5*q + 198*z - 195*z. Is 48 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 3*m - 1. Determine p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 + -2?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22988234.\nAnswer: 2, 11494117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:38 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 2*c - 3, 0 = -3*k + 3*c. Let v be k\/(-2*(-4)\/(-8)). Is v equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -17. Let c = -5 - -7. Suppose 5*g + 30 = b, -g - 35 = -4*b + c*g. Solve -w + b = -n*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 9*p**5 + 13*p**5 + 6*p**5 + 0*p**5 - 2*p**5 + (2*p + 3*p - 4*p)*(-2*p**4 - 2*p**2 + 2*p**2) + 3*p**5 - 3*p**5 - 2*p**5 + p**2 - 2*p**5 - p**2.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 13*d**2 + 4*d + 19. What is the remainder when u(13) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8\/81 - 3241\/810. Let d = 941\/10 + -95. What is the common denominator of m and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2290, -2370, -2450, -2530, -2610, -2690?\nAnswer: -2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 2*t**2)*(-1 + 5 - 3)*(-7 + 3 + 3)*(-1 + 3 - 3) to the form x*t + p*t**2 + m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -27*b**3 - 8*b**2 + 23*b - 9. What is p(2)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {f: 1, v: 2, n: 1, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1481.4.\nAnswer: 444.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 615525*s**3 - 381*s**2 - 32 wrt s.\nAnswer: 3693150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 6*n + 8. Let p be t(-6). Suppose -3*s + 5 = -2*b - p*s, -10 = 2*s. What is the remainder when 38 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78971 (base 11) to base 8.\nAnswer: 337176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -985420?\nAnswer: -985420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 t when four letters picked without replacement from bobzotb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 2. Let x be w(6). Let b = 8 - x. Calculate the remainder when b is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*j + 6, -3*v = -5*j + 417 - 427 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0.3 (b) -0.5 (c) -26\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + o**2 - o + 1. Let j be l(1). Suppose 2*u - 5*p - 101 = 0, 18 = 3*u + 4*p - 76. Let i = -113\/3 + u. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978254237.\nAnswer: 3, 1609, 409831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -21. Suppose -15*g - 51 = -606. Let l = t + g. What is the remainder when 49 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.867 minus 0.3?\nAnswer: -1.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -102012021 (base 3) in base 16?\nAnswer: -1fe1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018\/29 < 4\/3059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66756449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 56 = -0*q. What is the units digit of 78\/q*136\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2849, 2820, 2791?\n\"Answer: -29*d + 2878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133 + 80*u - 7 + 5*u**4 - 133*u + 60*u to the form t*u + b*u**2 + d + q*u**3 + n*u**4 and give d.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-3\/8))))\/(y\/(y*y\/y**3)))**(-15)*(y\/((y*(y*(y*y*y*y**1)\/y)\/y*y*y)\/y))**(-9)\/(y**(3\/5)\/(y*y**2)) assuming y is positive.\nAnswer: y**(2361\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20900 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -189051 and -0.0799.\nAnswer: -189051.0799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/3 - 17) + 39\/(-15). Which is the second smallest value? (a) -0.4 (b) 3 (c) 83 (d) g (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-23)*q*q**(4\/7)\/q*q)**15)**(-1\/9))**(-26) assuming q is positive.\nAnswer: q**(-6500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3975 or -4006?\nAnswer: -4006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28343b - -4?\nAnswer: 283443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 12*q**2 + 6*q + 16. Give l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12 - 150\/80)*4\/(-30) and (-1535)\/(-100) - (-4)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + 14\/6. Let i = -10 + 14. Suppose 0 = -0*v - 3*v - 4*d + i, 0 = -5*v + 2*d + 24. Does v = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231432 - 34214?\nAnswer: 142213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 - (0 + 9 + -15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10238 is divided by 153?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b + 2*b + 1 - 1 to the form z + i*b and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/30 - 118*u**2. Let q(h) = 1242*h + 22. Let b(r) = 932*r + 16. Let g(z) = 11*b(z) - 8*q(z). Give t(g(p)).\nAnswer: -199712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100936217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 4, -6, -6, 10, 48?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 138\/(-30) - 4\/10. Let g(f) = 9*f**3 - 2*f**2 + 8. Let j(l) = 6*l**3 - l**2 + 5. Let y(h) = s*g(h) + 8*j(h). What is the third derivative of y(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988\/(-8964)*6*(4 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4704 - 2118. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*l - 3*p, 4*p - 16 = -l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 17*h + 28 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 1. Let h be u(-1). Let a(l) = -l**2 - 3 - 2 - 1 - 6*l. What is the units digit of a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777327767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8899976 and 451112.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -40*y - 8. List the prime factors of q(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + k + 1. Let c be g(6). Is 16 a factor of 158\/c - 9\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 + 4*p + 5. Let u be m(-4). Let s be (-1 + -3)\/(1 + 1). What is the third biggest value in u, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28*m + 2. Suppose 5*k = -60 - 55. Let s = 24 + k. Let v be t(s). What is the highest common factor of 75 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 + (-20)\/(-90). Suppose k = 1 + 7. Suppose f = -3*m - 4*y + 71, 0 = -3*y + y - k. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 21 = -5*v + 4, -v - 4 = -t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 576 = -6*d + 10*d, 720 = 5*d - 5*p. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 - 4*l - 2. Let t(i) = i**3 + i**2 - i - 1. Give -p(m) + 4*t(m).\nAnswer: 5*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1985, 2061, 2137, 2213, 2289, 2365?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*k - 2, -k - 4*j + 8 = 2*k. Suppose -6*d + d + 685 = k. List the prime factors of d.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5163706 is divided by 1721227?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(24)\/sqrt(3))*-4 - ((1*sqrt(13))**2*-5 - sqrt(143)\/(sqrt(22)\/sqrt(2) + sqrt(11))).\nAnswer: -7*sqrt(13)\/2 + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:30 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -17876.\nAnswer: 3\/8938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3804 + 8408. List the prime factors of m.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184199 - -24837. Is c\/21*(-9)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = 7*b - 6300. What is the remainder when b is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157072709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -1.48570061?\nAnswer: -17.51429939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124375*l*r**3*w**3 - 2*l*r**3 - 25*l*r**2 + l*r - 30*r**3*w + 21611*r + 2 wrt w?\nAnswer: -373125*l*r**3*w**2 - 30*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11273 - 11275 + 3457*l**2 + 22548 to the form f*l**2 + c + t*l and give f.\nAnswer: 3457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)\/(b**(-2\/5)\/b*b))\/(((b*b*(b\/(b**14\/b)*b*b)\/b*b)\/b)\/(b*b**(10\/9))) assuming b is positive.\nAnswer: b**(538\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*h + 19, 4*y - 65 + 72 = -3*h. Let k be 6 - (y + 33\/6). Let q = -6 - -3. What is the nearest to 2 in q, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2 of a centimeter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -104*n + 310. Let c be p(3). Let l(a) = -3*a**2 - 5*a - 4. Let g(r) = -4*r**2 - 6*r - 5. Give c*g(i) + 3*l(i).\nAnswer: -i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -2989200\nAnswer: 23\/2989200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 31 - (15 + 6 + (0 - (10 + -6)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6*j = 9*j + 28, j - 19 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 73*r - 2. Let t be z(-1). Let g = -14 + t. Let j = 447\/5 + g. Which is the closest to -2\/7? (a) -5 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302*t + 5424 = 409*t + 63598 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(2\/7))\/g)\/g)**(-13)\/(g**(-3\/4)\/g**0))**(6\/11) assuming g is positive.\nAnswer: g**(1467\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 59*k + 101. Give y(-53).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3357, 3330, 3283, 3216, 3129, 3022?\nAnswer: 2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -326, -649, -968, -1283, -1594, -1901?\n\"Answer: 2*s**2 - 329*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2389 - 386. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 36, 2, 10, -1 in decreasing order.\nAnswer: 36, 12, 10, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -799 minus 0.19660993843?\nAnswer: -799.19660993843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -230*u**2 + 5*u + 11. Let t(b) = -b - 2. Calculate j(x) + 6*t(x).\nAnswer: -230*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7992*g + 8503498. Calculate z(-1064).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6709978 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 9414?\nAnswer: 940a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 407\/6. Sort 1, u, -3.\nAnswer: -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:40 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 12, o: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -3949.\nAnswer: 27643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/21 - 4\/(-6). Let o(x) = -10 - x + m*x + 9. Let r = -127 - -129. Calculate o(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + 462. Calculate a(57).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 30\/59 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**4 - 588\/5 - 288\/5*g**3 - 908\/5*g**2 - 2\/5*g**5 - 1246\/5*g = 0. What is g?\nAnswer: -7, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84582007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3173307, 3173301, 3173295, 3173289, 3173283?\nAnswer: 3173277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485 - 232 - y - 253 + y - 13*y**2 + 14*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 276, 1113, 2512, 4473, 6996, 10081, 13728?\n\"Answer: 281*q**2 - 6*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/12 + 14*g**2. Let m(s) = 3*s. Calculate m(a(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 951418066 to the power of 1\/2, to the nearest integer?\nAnswer: 30845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(36)\/sqrt(192))**2*-5.\nAnswer: -45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-462)\/1078)\/(22\/(-14))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -1 (c) 3\/8 (d) -873 (e) -1\/2 (f) 33\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-14))\/((-1)\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0 + 0 - 2*z. Let q(n) be the second derivative of -n**5\/20 + 5*n**2\/2 + 2*n. Let f(p) be the first derivative of q(p). Determine r(f(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2131567 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15*z**3 - 2*z**4 + 227*z**2 - 74*z**2 - 84*z**2 - 71*z**2 + 5*z in the form j*z**2 + o + k*z**3 + g*z + n*z**4 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/56)\/((-72)\/84).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -10*t**2 - 15*t + 14. Let u be c(-2). Let q = 47 + u. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -11*i**3\/3 - i**2 + 9*i - 1. Let d(y) = y. Let r be d(-7). Let t(n) = 5*n**2 + n - 4. Give r*t(z) - 3*u(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 14*b**2 + 5. Let x be g(-14). Solve -2*w - 20 = x*h, w + 13 = -2*h + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 3*d - 3. Give v(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58103778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/256179 and -29\/10173966.\nAnswer: 71217762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.4 (c) -234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 38. What is the lowest common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3701088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + (sqrt(700) - 6*(2*sqrt(700) - sqrt(700)))**2)*-2 + 3.\nAnswer: -35002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f**2 - 3. Let q(i) = -13*i**2 - 4. Calculate 3*q(a) - 4*v(a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfe when three letters picked without replacement from fxefzfj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -90.5. Let n = s - -23. Let z(i) = -i - 4. Let k be z(-6). Which is the biggest value? (a) n (b) k (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(1\/16)*s))\/((s\/(s**(-3)\/s))\/s))\/(s*s\/s**(5\/6)*s\/s**(-8)*s))\/(s\/s**5*s\/(s*s**(-14)*s))**(10\/11) assuming s is positive.\nAnswer: s**(-12361\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9021 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 403 - 73)*(-2*b + 5*b - 5*b) as t*b + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640 (base 8) to base 3.\nAnswer: 120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**4 + 507*f**3 - f**2 + 140*f - 2.\nAnswer: 216*f + 3042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -50 (b) -2 (c) -11 (d) 32 (e) -0.1 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7.02. Let g = z + 1.02. Let c = -25 - -99\/4. What is the third smallest value in g, c, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.067 - -0.367. Let g = 29\/4 - 15\/2. Suppose 7*x - 3*x = m - 3, 3 = 2*x + m. Which is the closest to 0.1? (a) g (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -19. Let v = m + 13. Determine a, given that -2\/3*a**2 + 0 + v*a - 2\/3*a**4 - 4\/3*a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/7 + 4*a**2\/7 - 26*a\/7 + 20\/7 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + (-99)\/(-44). Let x(i) = -i**3 + 3*i**2 - 2. Let g be x(2). Suppose g*f - 20 = -v*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6175664 - 12*d**3 + 6175664.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(8\/(-3))*(-59 - -63). Let 3*u**2 - u + 2*u**2 - 7*u**2 + 13*u**c - 14*u**3 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*c + 3*r + 603, 2*c + r = 319. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 61, -2, 5, 1 in increasing order.\nAnswer: -4, -2, 1, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 0.1, -115, -480 in ascending order.\nAnswer: -480, -115, -2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.094651 to three decimal places.\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -47. Suppose 3*u + g = 2*i, -7 = -4*i + 4*u + 5. Does 19 divide i\/20 + (-1515)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-two thirds of a hour?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159098.\nAnswer: 2, 79549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 32*m**2 + 3*m + 96. What is p(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 1022*n - 1023*n + 11, 0 = -4*n - 5*x + 47 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -10 - 9 - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + b**2 + b - 1. Let o(a) = -9*a**3 + 4*a**2 + 6*a - 4. Let k(g) = -o(g) + 4*r(g). What is the second derivative of k(u) wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 32 + -4 - -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/4 - b**3\/2 - b**2. Let x be (-4 - -2 - -3)\/(-26 - (-1703)\/65). Let o(n) = n. What is x*o(g) - l(g)?\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 11*q - 20. Calculate k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(-3198)*18\/81*18?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*p + 89 = q, -2*p = -4*q + 170. Suppose -q = -6*n - 7. Suppose 3*g - 24 = 12. Solve 0 = 5*d + 4*h + g, -d + h + n = 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 203, 1538, 3771, 6908, 10955, 15918, 21803?\n\"Answer: m**3 + 443*m**2 - m - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*h + 5, 9*h + 2*z + 12 = 13*h. Let d be 4\/((15\/(-10) - -2)\/1). Solve -d = 2*k - l - 1, 17 = -k + h*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/5 and 55\/27069.\nAnswer: 135345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1856 and 64?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 10. Determine p(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 10. Suppose 4*y - 2 = 2*j, -j - 2*j = 3*y + u. Suppose y = -2*x + 11 + 5. Calculate the lowest common multiple of x and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 + 51*c + 49. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44491 is divided by 989.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 35. Is x greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -54. Suppose x = 4*f + 15, -2*x = -f - u*x - 2. Suppose -12 = 9*d - 12*d. Put 0, 1, d, f in descending order.\nAnswer: d, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 - 3 = 0. Suppose -2*u + s = -31. Suppose -2*g + 14 + u = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*t**2 + 332458*t + 2328088.\nAnswer: -2*(t + 7)*(9*t - 166292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 4*t**4 - 4*t**4 + (25 - 25 + 9*t)*(2*t**3 + 0 + 0) + (2*t**3 - 3*t**3 + 2*t**3)*(0*t - 3*t + 4*t).\nAnswer: 21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(20\/(-4))\/((-1)\/9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -103?\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -214340 (base 5) in base 10?\nAnswer: -7470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.017 and -0.295.\nAnswer: -0.005015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38441 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, -387, -2056, -4421, -7482, -11239?\nAnswer: -15692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -31 + 55 - j**3 - 2*j + j**2 + 0*j**2 - 11. What is the remainder when 27 is divided by m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7, r: 2, w: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*s - 15 - 14 = 0, 4*v + 2*s = -26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + -8 + -4)\/(2\/(-446)).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/616*(-28)\/(-40)*232.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 1)*(2 + 0 - 1)*(-5 + 2 + 1)*(-3 - l + 3).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*g + 8\/21 - 4\/21*g**4 + 2\/21*g**5 - 16\/21*g**3 - 4\/21*g**2 = 0 for g.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 10*h. What is k(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 14*r**2 - 10*r + 5. Give z(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.8 + 1.8. Let k = -7 - r. Which is the closest to 1? (a) 5 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8572, -67, 1.\nAnswer: -67, 1, 8572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 + -355. Let i be 480\/c*(18\/(-4))\/3. Solve 0 = -n - i + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29634\/4*((-35)\/(-5) + 38\/(-6))?\nAnswer: 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2698*h**2 + 2160*h**4 + 2147*h**4 + 831*h**2 wrt h?\nAnswer: 103368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -105, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.000787 kilograms to tonnes.\nAnswer: 0.004000787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16942286?\nAnswer: -2\/8471143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634881115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + -12. Let g = 76 + y. Suppose 1024 + 8 = g*o. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-643 - -607) + -1 + 23.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, -1357, 92 in decreasing order.\nAnswer: 92, 5, 2, -1, -1357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370047 divided by -5?\nAnswer: -3370047\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y - 35. Let t(h) = -h**2 + 12*h - 20. Let p be t(y). Suppose p = 4*w - 2*q - 290, 5*q - 134 = -2*w + 41. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/19 in 0.1, -59, 0.4, 6, -5.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 54.\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 19*t. Let m(y) be the first derivative of 1\/12*y**4 + 3\/2*y**2 - 15 + 0*y**3 + 0*y. Let n(a) be the second derivative of m(a). Calculate n(g(c)).\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 737009.4s in milliseconds?\nAnswer: 737009400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 - 68 = 5*p + 18*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c5 - -1a1?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -948 + 72*x**4 + 948 + (-3*x - 3*x + 7*x)*(2*x**3 + 0*x + 0*x).\nAnswer: 74*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50289, 50358, 50501, 50742, 51105?\nAnswer: 51614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-two fifths of a millimeter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/605360 and 121\/92120.\nAnswer: 4237520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548607920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) -306610\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161.57 + -2.57. Let q = k - 160.98. Let s = 0.02 - q. Which is the second smallest value? (a) -3 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -10 + -1 - -17) + 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**6\/15 + q**2 + 6*q + 5. Let m(t) be the first derivative of h(t). Differentiate m(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -29*y. Let u(w) = 12*w. Let k(t) = 3*t. Let i(j) = 9*k(j) - 2*u(j). Give i(s(g)).\nAnswer: -87*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -219\/65, 0.2, 37\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -o, 3*g - 10 = 8*o - 3*o. Let n(u) = -8*u**2 + 3*u + 4. Let s(d) = -d**2 + d + 1. What is o*n(r) - 3*s(r)?\nAnswer: -5*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 1896.\nAnswer: 49\/1896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1275 and 375?\nAnswer: 6375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*c + 90, 12492568 - 12492526 = 5*w + c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1850\/(-111)*(22\/(-10) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -191*l + 332. Determine h(3).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -2, -5, 5868 in ascending order.\nAnswer: -21, -5, -2, 5868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-3)\/9 - (19240\/30)\/26).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 479 + -955\/2. Which is the fourth biggest value? (a) -4 (b) 1 (c) -6\/19 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101722099\/909135 + 2\/303045. Let g = m - 112. Which is the third smallest value? (a) 2\/5 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*6.8978.\nAnswer: 1.172626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/12 - 133*c**2\/8 + 160*c - 2967. Factor r(s).\nAnswer: (s - 128)*(s - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10316, 20632, 30948, 41264, 51580?\n\"Answer: 10316*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172620.9l in millilitres?\nAnswer: 172620900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3888.454 to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**3 - 147*a**2\/2 + 1583*a. Calculate m(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9557807*v**2 + 302*v**3 - 9557807*v**2.\nAnswer: 302*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9600000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddzzdddddddddd. Give prob of picking 2 z and 2 d.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.7 * -8.28.\nAnswer: -303.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 4*z**2 - 3*z + 1. Determine k(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-26))**(1\/8)*(o**(9\/2))**(-10\/3) assuming o is positive.\nAnswer: o**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 - 8*b - 31. Let i(z) = 10*z**2 - 18*z - 62. What is -4*i(d) + 9*o(d)?\nAnswer: 5*d**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 5*g - 6. Let k be z(-5). Let i(s) = -2*s - 9. Let w be i(k). Solve -3*q = d + w, 3*d + 2*q + 2*q = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -782*u + 777*u - 54, -5*u = m - 51. Let p = 198 - 95. Calculate the remainder when p is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 6. Let o be (0 - 6)\/(12\/w). Solve 0 = -p + 2*t + 2*t - 7, -o = 5*p - 5*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10 and 5\/562?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/24 - (-61608)\/(-3264)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:51 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11240140 (base 7) to base 13\nAnswer: -28614a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.616 + 0.6756. What is q rounded to 3 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -59*q**2 - 1204*q - 8001. Suppose 225*a - 12 = 231*a. Let v(y) = y**3 + y**2 - 4*y - 1. Let s(p) = a*v(p) + 2*w(p). Determine o, given that s(o) = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2401) - sqrt(2401)*2)\/sqrt(7).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 i when three letters picked without replacement from {s: 3, m: 2, i: 3, o: 1, n: 8, q: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25617246.8*4.\nAnswer: 102468987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5578, 5669, 5736, 5767, 5750?\n\"Answer: -2*w**3 + 105*w + 5475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 310153?\nAnswer: -310152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307100497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.7 - 1.7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*i - 64*i - 6. Let c be (1 - (-2 - -2)) + 3. Solve o + 0*u = -3*u - 2, -i*o = 3*u + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/19))\/d**(-2\/5))**(-3\/25)*(d**(-1)\/d)**(-3\/32)*(d**0)**(2\/79) assuming d is positive.\nAnswer: d**(-3339\/38000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.28 and -0.144.\nAnswer: -0.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12682357 divided by -20689\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45087027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76356820 - 8621998 = -358*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8.9, 1, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -3 (c) 2\/11 (d) -0.9 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -21. Suppose x = 3*q + 11. Let l = 52.3 + -52. Put q, 4, l in ascending order.\nAnswer: q, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 18*d + 33. Let q be w(6). What is the first derivative of -29*z**3 - 2*z**3 - 63 + q*z**3 wrt z?\nAnswer: 330*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/5*-1 - -3. Let w(j) be the second derivative of j**4\/12 - j**3\/3 + 3*j**2 - j. What are the prime factors of w(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21983 - ((-10)\/(-6))\/(1 - (-16)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/60 - 4*j**3\/5 + 5*j**2\/2 + 2*j + 30. Factor l(r).\nAnswer: -(r - 1)*(r + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -655 + 1496?\nAnswer: b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 5*c + 14*c**3 + 5*c**3 + 22*c**3.\nAnswer: 41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5516885587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 9852.\nAnswer: -1970.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2828 = -0*i - 2*i, -i + 2123 = 3*q. Let t = q - 53. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a6 - 3?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 - 78*x - 18. Let z be b(-11). Is -7 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihi when three letters picked without replacement from hhihhihhhhh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 677, 117, -817, -2125, -3807?\n\"Answer: -187*x**2 + x + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 195.628654738 and -0.4.\nAnswer: 195.228654738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*k - 5, -6*k = 3*s - k - 34. Let m(q) = -3*q**2 + 3. Let j be m(2). Let x = -7 - j. Solve -s*r - 18 = 3*y, 0 = 4*y - x*y + 4*r + 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/1710 and -149\/2394?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*s - 1. Suppose 2*l = -2*d + 120, -2*l - 2*l = -s*d - 212. What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 + n + 4. Let m(o) = -o**2 - 1. Let t(k) = 2 + 0*k + 7 - 2*k + k. Let q be t(12). Calculate q*m(u) - h(u).\nAnswer: -u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:55 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*u = 8, -u - 18 = -3*m - 19. Let j be (-24)\/60*10\/(-1212). Is m != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-5))\/(2\/15). Let j = s + -5. Solve 0 = -3*u + 3*t + 19 - 4, -j*u - 4*t = 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g**2 + 2*g - 7. Let x be s(5). Find t such that -14*t**5 + 4*t**4 - 8*t**2 + 4 - 8*t**x - 12*t - 2*t + 36*t**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 less than -14849.1626?\nAnswer: -14821.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 k when four letters picked without replacement from kzktkzktkzz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5617.050525 + 5617. What is c rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 23. What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3 - 2*d - 2 + (-4 + 3 + 0)*(2*d - 6*d - d) + 83*d + 80*d + 81*d.\nAnswer: 247*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + -38?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146868 by -3.\nAnswer: 48956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/275 and -14\/395.\nAnswer: 21725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024*0.700992.\nAnswer: 0.016823808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-11 - 4 - -1)) + -43?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - (-7)\/(-9). Let w = b + 0. Let z(r) = -4*r + 1. Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -0.2 (c) -2\/9 (d) 0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9761.\nAnswer: 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/10 - 20*r**2 - 593*r\/10 - 197\/5 = 0.\nAnswer: -197, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/2 - 12495*g - 350252 = 0.\nAnswer: -28, 25018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/20 + 5*y**4\/12 - 52*y**3\/3 + 69*y**2. Let h be j(6). What is the greatest common divisor of h and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 + 68 = -71*j - 35. Sort j, 8, 20, -2\/3, -1\/4.\nAnswer: j, -2\/3, -1\/4, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1826 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99236, 99635, 100048, 100481, 100940, 101431, 101960?\n\"Answer: f**3 + f**2 + 389*f + 98845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -14485, -2, -5, 4 in ascending order.\nAnswer: -14485, -5, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 22 = 4*r - 7, 22*r + 111 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, 1046, 0.3, 3\/38, 3, -3 in decreasing order.\nAnswer: 1046, 3.4, 3, 0.3, 3\/38, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 95. Give u(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26267 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.98 + 0.02. Let f = -8140.979 + 8136. Let z = f + -0.021. Is z at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213 - 207 - 4648*y + 628 - 208.\nAnswer: -4648*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137922 + 377693. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 0.4, -3, -9, -1\/14, -31 in descending order.\nAnswer: 0.4, -1\/14, -3, -9, -31, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8639 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83808 and 30939120.\nAnswer: 185634720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65995 - 1?\nAnswer: 65994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 99 - 22 - 32*g**2 - 216*g + 216*g.\nAnswer: -32*g**2 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 4. Suppose -10*w = 69 - 139. Calculate the remainder when l(3) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -444 * -9\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9 + -7. Let l = w + -0.9. Let q = 2 - 2.5. Which is the second smallest value? (a) l (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**4*y + 23*n**4 - 11*n*y - 746*y - 2 wrt n.\nAnswer: 16*n**3*y + 92*n**3 - 11*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6*6\/((-36)\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 20233 + 10114 + 10119.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*y + 19, 0 = 5*d - y + 12 - 29. Calculate the common denominator of -4\/153 and 5\/d + (-10)\/(-6)*3.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6845280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 5, h: 5}. What is prob of sequence rhbb?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let m(k) = -6*k**2. Let s(l) = 3*m(l) - 8*v(l). Let g(n) = -16*n - 5. Give s(g(j)).\nAnswer: -512*j**2 - 320*j - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 5*h - 5*h)*(2 - 277*h + 536*h - 282*h).\nAnswer: 23*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0306 and -16.\nAnswer: 0.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25279 + 38236. Is k a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14593 - -31760. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510\/(-1650) - (-2)\/(-22).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 361*q + 3710 = 0. Calculate q.\nAnswer: -10, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 17, q: 3}. Give prob of sequence wqw.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 - 24*i - 2. Let q be p(-6). Let u = q + 40. Solve 3*g + 4 = -4*n - 1, 4*g - u = -n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.2, 1820544 in descending order.\nAnswer: 1820544, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*o**3 - 2545*o**2 - 1685*o + 660 = 0. What is o?\nAnswer: -12, -1, 11\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 2*g**2 + g - 4. Suppose 4 = -0*f + 4*f. Let i = f - -2. What is the remainder when k(i) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 30*s + 6 = 0. Suppose -s = 2*y - 7. Solve 3 = -b - 2*j, -4*j + 21 = -3*b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 3*w**5\/40 + w**4\/4 - 7*w**3\/4 + 3*w**2 - 3*w. What is y in x(y) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3081322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*p**3 + 27*p**3 + 36*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.6. Let d be 10\/3*42\/(-35). What is the closest to h in 2\/13, 1, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**3 - 12205*f**2 - 28550*f - 8160.\nAnswer: 5*(f - 816)*(f + 2)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6262 - -1.282. What is h rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = k - 7*k. Calculate the greatest common divisor of 195 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*v + 14 = -330*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7561 + -7432. What is the greatest common divisor of 72 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {y: 1, l: 1, c: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3472278 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 10*t**2 + 11*t + 3. Let v be r(-11). What is the derivative of 8*q**3 + 126 + 2*q**v - 134 wrt q?\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from ghugubugusbsbuuh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -208 and 5.\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 - 5*l - 5. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(98) + 0) - ((-1 + sqrt(98) + sqrt(98) - sqrt(98))*-4 - sqrt(98)))**2.\nAnswer: -168*sqrt(2) + 898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12.025. What is o rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.377127ml?\nAnswer: 0.008377127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29973 is divided by 14940?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 872 and 2.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.000796ms to minutes.\nAnswer: 0.0002333466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -5574\nAnswer: -3344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 655159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 115*h**4 - 381*h**4 + 13*h**3 + 120*h**4 + 147*h**4 - 3*h**2 as f*h**4 + y*h**2 + i + c*h**3 + z*h and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -214 (base 9) to base 2\nAnswer: -10101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -6 - (47 - (7 - 12))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*h = -133 + 33, -c = 5*h + 62. Let u = c + 94. Calculate the highest common divisor of 188 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1174 (base 15) to base 13\nAnswer: -18c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308 is divided by 286.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0)*(3*j - 4*j - 5*j) - j**2 + j**2 - 2*j**2 + (2 + 2*j - 2)*(-3 - j + 3).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3198*f**3*l**4 - 535*f**3 wrt l?\nAnswer: -12792*f**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (0\/2 + 1). Let n = 0 - a. Suppose n = -3*s + 6. Solve 0 = s*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuvuvcuvvulcvu. What is prob of picking 2 u, 1 l, and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*s + 5*r, -3*s - 2*r = -3*r - 17. Suppose -4*k - 20 = s. Let n be (k - -3)\/3*(-5 + -3). Let t(f) = f**2 - 7*f + 1. Calculate t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71540005 less than -10994?\nAnswer: -71550999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 3. Let t(z) = -4*z - 3. Let a(h) = 6*m(h) - 5*t(h). Give a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/147696 and -81\/40?\nAnswer: 738480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113066.\nAnswer: 2, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 10, 1 = 3*t - c - 9. Calculate the remainder when 6 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -865 or -867?\nAnswer: -867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**4)**(-1\/73)\/(q**(-7\/5)*q\/(q\/q**(3\/13))) assuming q is positive.\nAnswer: q**(5743\/4745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2080 and -107\/241280.\nAnswer: 241280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from dpyiidyyyddapd?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1001000021 (base 3) to base 12\nAnswer: b997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:42 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*c - 2, 10*v - 5*c = 8*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-246)\/4*((-801)\/2670 - (-27971)\/(-30))?\nAnswer: 41, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a = -t - 2*t + 12. Let i be (140 + -140)\/(1 - 2). Put i, t, 5 in increasing order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0 (c) -435\/4 (d) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 618*a**3 + 3*a**2 - 3*a - 410. Let r(k) = 1239*k**3 + 7*k**2 - 7*k - 818. Let u(x) = -7*f(x) + 3*r(x). Differentiate u(d) wrt d.\nAnswer: -1827*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1122 and 421060046.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3156 greater than -3151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.034 + 0.323. Let h = 5.611 + j. Sort -3, h, 0.2, 2\/7.\nAnswer: -3, 0.2, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43989 + -26349. What are the prime factors of f?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + -2*(sqrt(6)\/sqrt(3))**2) + 1.\nAnswer: -23 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -757, -937, -1111, -1279, -1441, -1597, -1747?\n\"Answer: 3*f**2 - 189*f - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 3. Let z(r) be the first derivative of -r**2\/2 + r - 93. Let d = -5 + 6. Calculate d*x(h) + 3*z(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 3 (c) -0.1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-6)*1*(-1 + -3). Suppose c*k + 173 = -71. Are k and -60 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-15))\/((-1)\/(-12)). Suppose 2*y = 4 + h. What is the units digit of y\/(-6)*(-42)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.11, 3\/8, 0.3, -1.26?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1144825 and 52900?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8 + 9*d**2 + 8 - 3*d**2. Let q(r) = -r. Give q(l(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 2*l + 6*y - 178 = -138, -2*l = 4*y + 10 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -80, -179, -318?\n\"Answer: -20*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**3 + 9*w**3 - 1 - 4*w**4 - 20*w**3 to the form o*w**3 + c + d*w + f*w**4 + g*w**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + -31. Let q = f - -59. Is (q\/(-1))\/(12\/9636) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 4*u - 70*u**2 - 7*u + 36*u - 18*u.\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317571 (base 9) to base 14.\nAnswer: 4cda0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**3 - 8*g**2 - 2 + 8 - 9*g**2 + 10*g**2. Let i(d) = -13*d**2 - 2*d**3 + 11*d**3 + 11 + 9*d**3 - 3*d**3. Give -6*i(k) + 11*t(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161.\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 17.076 (c) 2\/7 (d) -1\/6 (e) -1\/2 (f) 4 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 + 4 = v, -2*v = -2*x + 8. Suppose 4*g = 3*t + 4, -2*t - 2*g = x*t + 20. Let j = -9 - t. Sort 2, j, -7.\nAnswer: -7, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257251.625 nanoseconds in weeks?\nAnswer: 0.0000000020787890625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.01, -282\/11, 5, -4, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205164176 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (8 - -9) - -39.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 17*l + 214. What is b(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u + 4. Let i be w(-8). Let s be i\/2*9\/6. Suppose -5*z = -3*y - 33 + 170, 3*z + 141 = s*y. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18558 and 2796.\nAnswer: 8648028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 1, g: 3, z: 3, a: 10}. Give prob of sequence wzgg.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-23520)\/128)\/(-49))\/(3\/(-44)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-442)\/10804 - (-4382)\/159943.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/5 - 54*o**3\/5 + 476*o**2\/5 - 1224*o\/5 + 992\/5.\nAnswer: -(o - 4)*(o - 2)**2*(o + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -w - 17, 0 = -w - 2 - 0. Suppose -v = -0*k - 3*k. Suppose -5*i - d = -i - 233, 289 = k*i + 2*d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-51 + 10) - (-5 - (-8 - -13))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 9.6.\nAnswer: 25.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(-72))\/7)\/(176\/128 - 1)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5048755 - -1172234\nAnswer: 1172233.4951245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.151 + 0.17. Let m = 0.018943 - c. Round m to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5545 + 94229\/17. Find the common denominator of m and 95\/(-260)*(-6)\/(-6).\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135155 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5 - 6138*n**4 + 243120*n**3 - 2423200*n**2 = 0.\nAnswer: 0, 20, 3029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, o: 1, m: 2, h: 1, y: 3, p: 2}. Give prob of sequence ph.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.9. What is the second smallest value in 1\/2, -2\/15, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/3 - (-4)\/6. Let k = -26 + o. Let l = 460 + -4144\/9. What is the nearest to k in l, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -29. Solve -d + y = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240360 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*t - 471 = 352*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*d - 14, 0 = -d - 2*a - 3*a + 26. What are the prime factors of (-1)\/(-2) + 9\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3414015 and 2090.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004347 to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9088 - 15*o**2 - 780844*o - 70*o**2 + 780809*o wrt o.\nAnswer: -170*o - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p\/(p*p**9*p*p*p))))\/p)**(1\/34))**(2\/133) assuming p is positive.\nAnswer: p**(-12\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 15*t**2 + 858*t + 5669. What is v(40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 14*t**3\/3 + t**2\/2 - 4*t + 35. Let d be m(-3). Suppose 9*i + d = 16*i. Solve -5*x = 3*j + i - 1, j - 2 = 2*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234736347 to the nearest integer?\nAnswer: 15321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13747 - 340698356?\nAnswer: -340684609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241 + 81. What is the third derivative of -2*i**6 - s*i + 9*i**2 + 322*i wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 109*s - 877. Suppose -4*f - 100 = -2*h, 3*f + 103 = 3*h - h. Calculate the least common multiple of g(24) and h.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/((-105)\/(-15))*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4648.551 millennia?\nAnswer: 55782612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Suppose t = -5*q - 15, -3*q + 4*q - 122 = -5*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1*184\/5980\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {t: 2, i: 6, c: 1, e: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**4 - 20396*h**3 - 102072*h**2 - 40864*h + 163328 = 0.\nAnswer: -4, -2, 1, 5104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3, -28, -5, 5, 274 in increasing order.\nAnswer: -28, -5, -2, -1, 3, 5, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65247, 131178, 197109, 263040, 328971, 394902?\nAnswer: 460833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r + 5. Let p(t) = 5*t - 2. Let n = 289 + -284. Give n*p(i) + 2*j(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/(-4))\/1)\/(4\/(-16)*-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from jfjgjzgfjzjjjjgj.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 12513337*v - 12513334*v + 20, -3*h - 28 = 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-57)\/9. Let q(y) = -y**3 - 7*y**2 - 3. Let i be q(u). Let x be i\/(-6) - (-207)\/2. Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 34?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 36\/7 (c) 33 (d) -1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 30*l + 0.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 464.2 times 39\nAnswer: 18103.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-5)\/10)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18d5c + -3?\nAnswer: -18d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382655653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*d**3*k**2 + 14*d**3*k + 977*d**2 + 3849007*d*k**2 wrt d?\nAnswer: -186*d*k**2 + 84*d*k + 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1)*a))**19*a**(-5)\/a**(-4))\/((a\/(a*((a*a*a*(a**1*a)\/a*a*a)\/a)\/a))**(-1\/27)\/(a\/(a**1*a))**(26\/3)) assuming a is positive.\nAnswer: a**(248\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 56027?\nAnswer: -56008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7 = -u - 0, 0 = -2*s - 5*u - 9. Suppose -5*p + 14730 = -0*p. Is (12\/(-36))\/(0 + s\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -43?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 7. Let v(n) = -9*n. Let w(x) = 3*x. Let h(r) = 4*v(r) + 9*w(r). What is h(k(i))?\nAnswer: 18*i - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6619\/26202 + -14\/397. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -35*a**2 - 3*a. Let i(m) = -17*m**2 - 2*m. Give 15*i(t) - 6*w(t).\nAnswer: -45*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2112 - -2111.998166. Round x to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18131*q**2*s**2 - 7*q**2*s - 329977*q*s + q + 78*s**2 wrt s?\nAnswer: -36262*q**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 109 + 51. Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -6.5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 - 4*t - 36\/5.\nAnswer: -(t + 2)*(t + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 438 + -57. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -448. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2029005183 + -7199.\nAnswer: -2029012382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6421010945 to the nearest integer?\nAnswer: 80131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 + 6*g**2 + 0*g**3 + 3*g**3 + 4 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 884418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 6. Let f be n(4). Suppose 3*g = -5*p + 3, g + g - f = -4*p. Suppose 57 = o - p*o + 4*u, 5*u = 4*o - 207. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 + -467.995. Let u = -2 + a. Let i = 0.094 - u. What is i rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14199053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -921 - -939. Suppose 22 = 3*p + 4. What is the least common multiple of p and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.1. Suppose -5*x - 20 = -4*q, -2*q + x + 4 = -0. Let v = 61389\/111760 - 39\/10160. Which is the closest to -4\/9? (a) y (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451.3 rounded to the nearest 10?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.175 + 7.525. Let g = x - 11.75. Let y = 0.05 + g. Which is the nearest to -1? (a) 3\/5 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73523\/10 - 7360. What is the common denominator of -111\/10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2993\/3582 - 4\/1791. Factor d*x**2 + 5\/6*x + 0.\nAnswer: 5*x*(x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3893803?\nAnswer: 19, 223, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) 2\/7 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29\/c*c\/c**(-8\/9))**(1\/12) assuming c is positive.\nAnswer: c**(269\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*c - 105*c**3 - 315*c + 606*c + 5*c**4 to the form a*c**3 + o + i*c**4 + m*c**2 + k*c and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4))\/h**(1\/3))\/(h\/(h\/h**(-1\/2)))**(-32\/5) assuming h is positive.\nAnswer: h**(-137\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.427 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxjnexjnexnejjxnxeex. What is prob of sequence ejjx?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6430)\/2142 + (-38 - -45 - 4) and 13\/21.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-12) + -2 - (-152)\/112*(-3010)\/(-172).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -31379\/1176?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*r**2*w**2 + 3*r**2*w + 179*r**2 + 2*w**2 wrt w?\nAnswer: -24*r**2*w + 3*r**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16645123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-324)\/(-15))\/(3\/(-10)). Let i be ((-3)\/4)\/(81\/k). Let j be 0 - (-1)\/(-5)*2. What is the closest to j in i, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.910999 years to decades.\nAnswer: 0.3910999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 1\/6, 2.7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.8 and -48.\nAnswer: -30.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 2 h when four letters picked without replacement from {h: 7, t: 1, v: 11}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = 31 - 10 + 57 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 195 = -0*f. Let b be (-1)\/((-15)\/(-2)) - (-11112)\/(-360). Let r = f + b. Calculate the greatest common divisor of r and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21306)\/4 + 1\/2. Let m = y + 42695\/8. What is the common denominator of (-4)\/10 - 278\/(-120) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -7, -0.1 in ascending order.\nAnswer: -7, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + 3 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3946023157.\nAnswer: 3946023157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 5*a - 22. Let h be b(8). Let l be (-4 + 36)\/(h\/1). Solve -3*d + l = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444258129?\nAnswer: 3, 7, 21155149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 27. Suppose -3*l + 11 + 55 = t. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002512238 rounded to 6 dps?\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1412 and 154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/22)\/(-24*68\/2992)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(17*b + 17*b - 10*b) as j*b + s and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00098934138 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3826*y = -13972*y - 760950 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 2331042343?\nAnswer: 2331042402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -14. Solve -x*g + 5*t = 7, 0 = 3*g - 0*t - 3*t + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5454*o + 5445*o - 10 = 0, 0 = 3*b - 2*o - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -110*b + 105*b - 23, 5*b + 0*f + 2*f = -14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:35 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 2, m: 3, w: 8, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - -60) + 13 + -5. Suppose -17*c + 602 = y. Calculate the remainder when 59 is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/50 and (7\/189)\/(2\/(-339))?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 20 = 5*k. Solve -4*u - k = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -32*w**2 + 0 + 1\/420*w**6 + w + 1\/70*w**5 - 1\/84*w**4 - 1\/7*w**3. Let v(b) = 0. Calculate b.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*b**2 - 20418 + 20418.\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 5:57 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 36 = -6*a + 3*q, 2*a = q + 28. Suppose 0*c = 5*c - 1270. Suppose -2*l = -2*r - c, 2*r + a = 5*r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.081547 to three dps.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70351657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 5*m**2 + 5. Let p be d(3). Let r = 17 - p. Let g be 168\/36 - (-1)\/r. Solve 0*o - g*k + 19 = -2*o, -4*k + 11 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 1. Let i(c) = -7*c**3 + 3*c**2 + c - 7. Let f(a) = -i(a) - 6*u(a). Let j be f(2). Let v = -408 + 411. Sort j, v, 1 in descending order.\nAnswer: v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d + 2*d - 2*d + (3 - 5 + 0)*(0 + 0 + 2*d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (224\/(-336))\/((-2)\/(-9) + 0). Put 3, h, 633 in ascending order.\nAnswer: h, 3, 633","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*z = 440 - 4046 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 2*c + 3. Let k(g) = -g + 2. Suppose -16*w - 12*w = -56. What is w*i(q) - 3*k(q)?\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 63*n = -2*s + 1421, 2*n - 245 = -5*s - 3*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10\/((h*(h\/(h*(((h*h**(-4\/15)*h)\/h*h)\/h)\/h))\/h*h*h)\/h) assuming h is positive.\nAnswer: h**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - w**2 - w + 2. Let r = -38 + 16. Let s = r - -20. What is the tens digit of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchc. Give prob of picking 2 c and 1 h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 56*l**3 + 113*l**2 + 86*l + 184. What is v(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76*-1*1\/(-2) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0984317 to 5 decimal places.\nAnswer: -0.09843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1239 and 368235.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 - q + 8. Let d be j(6). Is (-3*(-12)\/(-18))\/(d\/(-1759)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = -3*v - 44, v + 16 = -z. Let y = 19 + v. Suppose -4*i - 4*f = -120, 0 = -i - 4*f + 2*f + 25. Solve 4*o + 3*p = 8*p + i, 2*o + 2*p = y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 12*n**2 - 3*n + 24. Let j be v(6). Suppose j*w - 3*w = -i + 7, 5*i - 5 = 0. Solve o - w*m - 4 = -0*m, 5*o - 5 = 5*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695 (base 14) to base 12.\nAnswer: 90b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 179 times -4\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from aalllhhhlhhhl?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104508 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 4*l**2 - 6*l + 27. Calculate w(6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1975\/237 + (-3258)\/378. Let x = 0.2 + -1.2. What is the nearest to x in -0.17, 0.3, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 0*d**2 - 4*d**2 - 3.\nAnswer: -4*d**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, m: 1, k: 2, p: 9}. Give prob of sequence mnn.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3814869892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four sevenths of a week in hours?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -34, -51, -70, -91, -114?\n\"Answer: -q**2 - 12*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 - -0.18. Sort 4, x, -3 in decreasing order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/66 + (-4)\/(-22)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1686614 (base 10) to base 6\nAnswer: 100052222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*d - 88*s + 89*s, -3*d + 3*s = 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16794 - 16791. Let r = 0 - 5. What is the nearest to -5 in 7, r, u, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 10*k - 13. Let m be s(-11). Let f be (4\/6)\/(m\/(-12)). Suppose -f*b = 4*u + 26780, 5*u = u + 3*b - 26815. Round u to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10954374 + 1.9\nAnswer: -10954372.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**2 + 12*r - 15. Let n(k) = 7*k**2 - 13*k + 14. Let x(j) = 3*m(j) + 4*n(j). What is the tens digit of x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -73. What is the least common multiple of 2 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3430.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/10)\/((-2)\/40). Let c = 50 - 26. Let f = a + c. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*i + 15 - 5, 0 = b + 4*i. Suppose -b*w - t + 8953 = 3181, 0 = -2*t. What are the prime factors of w?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c - 2*c**3 + 6*c**3 + 5*c**2 - 5*c**3. Let x be h(3). Let g = 12 + -9. What is the greatest common factor of x and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135 and -55.\nAnswer: -7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x**2 + 3*x - 2. Suppose 0*g + 12 = 3*g, 5*i - 3*g + 12 = 0. Suppose i = -t - 0*t + 2, 4 = p + t. Let u be o(p). Solve u = a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5965?\nAnswer: 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/60 + 15*m**2. Let p(y) = -52*y**2. Calculate c(p(j)).\nAnswer: -2704*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -3 + 1 + sqrt(112) - (sqrt(112) - -6*sqrt(112)*-2))**2 + -4.\nAnswer: -208*sqrt(7) + 18928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) 0.4 (c) 4\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2121*f - 2117*f - 2*k - 26 = 0, f = 2*k + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -236, -280, -342, -428, -544, -696?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29305908, 58611816, 87917724, 117223632?\n\"Answer: 29305908*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6226300 and 1140?\nAnswer: 18678900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (20\/(-16))\/(-1)*(-2 + 58)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87.36 or -213\/130?\nAnswer: -213\/130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 22 = -3*w, 83 = 74*v + 82*w - 83*w. Let n(z) = z**3 + 5*z**2 + 4*z + 3. Let g be n(-4). What is the greatest common factor of v and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**2\/2 + 1. Let o(n) be the third derivative of -23*n**4\/24 - 4*n**2 + 16. Determine j(o(s)).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + 3*p + 5. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 1. Let o be d(0). Let f be (6 + -7)\/(o\/(-13)). Let k = -9 + f. Let t(m) = -2*m + 1. Calculate t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - 8\/6*-6. Let y(p) = p**3 - 15*p**2 + 14*p - 4. Calculate y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:44 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205632 and 510?\nAnswer: 1028160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r - 54. Give m(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = o - 121, 3*q + 375 = -3*o + 738. Suppose -18 - 4 = -2*k. Calculate the greatest common factor of o and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 454 - ((-55)\/11 - -18). What is the greatest common divisor of 49 and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121331 (base 4) to base 7.\nAnswer: 4562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**2)**(-49)*((w*w**(-2\/7)*w)\/w)**(-38) assuming w is positive.\nAnswer: w**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*r - 83 = 0, r + 63 = 4*y + 5. Let d = 266 + -263. Solve 2*u - y = -d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*i - 3. Let m(y) be the first derivative of 8*y**2 - 1. Let q be m(i). Solve -4*w = -t + w - 25, 4*t + q = -w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 28*n**3 + 1 + 262*n**2 - 31*n**3 - 103*n**2 - 1 as w*n**2 + z*n + k + i*n**3 and give w.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -77. Let v = 4 + w. Suppose 5 = -4*h - 2*m + 61, -m = -3*h + v. What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -0.233 (b) 1 (c) -158 (d) -2\/7 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-30))\/((-20)\/200)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Suppose -13*o + 30 = -18*o. Determine s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 248 - 440. Suppose 3*f - 5*r = m, 2*f + 0*f + r = 132. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in -0.21, -0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -4\/95, 2\/33, -6\/11 in decreasing order.\nAnswer: 3, 2\/33, -4\/95, -0.2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 5440*m - 3696608.\nAnswer: -2*(m - 1396)*(m - 1324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 6. Let g(r) = -1. Let v(b) = -3*b - 11. Let a(o) = 3*g(o) - v(o). Let l be a(-2). Suppose 0 = l*f + 2 + 8. Calculate w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 32.1. What is the nearest to x in -2, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-3)\/(-2)*(-12)\/9. Suppose g = -3*w - 0*w - 18. Is -5 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -29, -4, 41, 112, 215?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 0 - 7\/6*s**4 + 9*s - 1\/2*s**2 + 0*s**3. What is t(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 33*j + 62. Let z be r(31). What is the least common multiple of 12 and 25 + 1\/(z + (-2)\/2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -7. Let q = -11 + z. Let p be (1240000\/12)\/(1\/q). Round p to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l**3 - 11*l**2 - l - 11. Let v(w) be the first derivative of -w**4\/4 + w**3\/3 + w - 6124. Determine -2*o(p) - 22*v(p).\nAnswer: 54*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, 2, -71 in descending order.\nAnswer: 3, 2, 1, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/103))**24 assuming b is positive.\nAnswer: b**(-48\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -61a603?\nAnswer: 61a606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)\/1 + 4. Let d = 6 - 3. Suppose 0 = -d*v + 4*l + 11, -6*l - 24 = -4*v - 3*l. Solve -g*k = -v, 2*k - 2 + 1 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 8, z: 3, m: 2, l: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*j - 58*j - 63*j - 59*j - 58*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3590884*d**2 - 2*d + 1658147 wrt d.\nAnswer: -7181768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594664 and 49728.\nAnswer: 14271936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.83308234 rounded to one decimal place?\nAnswer: -63.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 - 199476*b**4 + 1595894*b**3 - 4189288*b**2 + 4388808*b - 1595936 = 0. What is b?\nAnswer: -99746, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-65)*((-10)\/3)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 4. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122922978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.29 - 0.06. Let i = r - -0.85. Let o = 0.9 - 0.5. What is the nearest to 2 in 2, i, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7701.\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*2 - sqrt(68) - 6*sqrt(272) - ((6*sqrt(153))**2 + sqrt(272)*3).\nAnswer: -5508 - 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 4 - 68*h + 234*h**3 + 4*h**2 + 67*h - 3*h**2 - 3*h**2 as w*h**3 + j + b*h + x*h**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 411655513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.578974*5.\nAnswer: 52.89487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/(-2))\/(21\/588).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7447 divided by 36\nAnswer: 7447\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from {y: 2, z: 4, l: 1, h: 2, i: 4, d: 6}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**4\/4 + 4*p**3\/3 + p + 17. Let f(m) = 3*m**2 + 1. Let u be f(1). Give o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*a - 10, 4*u + 5 - 45 = 4*a. Let x(m) = -m + 1. Determine x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 16. Let j = -105 + 96. Let u be g(j). Solve -o = 5*d + 13, -5*d - u = 5*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 7984976*g**3 + 15939984385045*g**2 - 95639618851350*g.\nAnswer: g*(g - 3992485)**2*(g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 - -46)) + (1774 - 1753)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -546.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 0 = 4*j - 26, -3*z + 281 = -2688*j + 2729*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 788 and 139995?\nAnswer: 110316060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 24*q - g, 142*g = 3*q + 145*g + 45 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 11*l**2 + 15*l + 15. Determine p(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 - 15*o**2 + 9*o**2 + 2*o**5 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from gyggsgggggggyg.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17. Suppose 5*w + 2*t = t + 28, 13 = n*w - 4*t. Suppose 0 = 2*h - w*q - 6 - 3, -h + 24 = 4*q. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 3*w. Let g(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 5*r**2 - 8*r + 12. Let y be g(7). Let o be (6\/(-15))\/((-36)\/y + 2). Give p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 8. Suppose -5*w + 4*c + c = -15, 0 = 2*w + c + 6. What is the remainder when 26 is divided by d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107251995 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/38942 and 3\/14?\nAnswer: 272594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -280376 (base 9) in base 3?\nAnswer: -22200102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 2*b + 3. Let a be i(-3). Suppose 0 = -13*k + 18*k. Solve -4 = 5*z + 4*r, a = -k*z + z + r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*u - 2 = n, -3*n + 36 = -2*u. Let j be ((-2)\/18)\/(n\/(-30)). What is the nearest to 0 in j, -6, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h. Let c(v) = -64765701*v. What is m(c(b))?\nAnswer: 259062804*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*j = -0*f + 20, 5*f = -j - 25. Let a be 12\/4 - f\/(-2). Suppose 653 = -a*o + o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001369872 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5255516*n + 5255545*n - 10511033*n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 33*l + 3764. Let f be m(-114). Let j(r) = -r + 1. Let n be j(5). Let h = n - -6. Solve -f*c + 6 = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335888 is divided by 335882.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 171863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1775, -7676, -17511, -31280, -48983, -70620, -96191?\nAnswer: -125696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6041 + 2374 = -145*a + 2760 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 1423188.\nAnswer: 1423194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 6800*m + 584031. What is k(87)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220889741.\nAnswer: 37, 5969993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 z when four letters picked without replacement from {z: 1, l: 3, p: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 = c - 6*c. Let t be 16\/72 - c\/9. Let d = t - 21. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*u + 6677 + 3268 = -64*u - 1095 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypz when three letters picked without replacement from {p: 1, z: 1, h: 1, m: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 1156720?\nAnswer: 5783600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12132 is divided by 121.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 317 = 4*w, -2*w + 0*z + 5*z + 139 = 0. Calculate the highest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 1, -15, -37, -65, -99, -139?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3 + 7*f**2 - 45*f + 5530?\nAnswer: 3*f**2 + 14*f - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10978 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46342, -46289, -46270, -46303, -46406, -46597, -46894?\nAnswer: -47315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008*-93167.\nAnswer: 745.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = l + 12, l + 3*v + 16 = 6*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*j - 5*j + 25, 5*j - 2*w = 11. Suppose j + 1 = -2*v. Which is the biggest value? (a) 0 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/5)\/((-18)\/45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/200*4\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 709*a**3*b**3 - 2569*a**3 + 679*a**2*b - 2965*b**2 wrt b?\nAnswer: 4254*a**3*b - 5930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from llffoloelllfolewz.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 591 + -315. Is ((-12578)\/228)\/((-2)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -3*b, -2 - 4 = -5*b + c. Let g(a) be the third derivative of -a**5\/15 + a**4\/24 + a**3\/3 - a**2. Give g(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.449900768 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2232*135\nAnswer: 301320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 2, a: 6, o: 1}. What is prob of sequence jj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23260000 rounded to the nearest one hundred thousand?\nAnswer: 23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5689*f**3 + 445*f**2 - 2*f + 4 wrt f?\nAnswer: -34134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -871, -872, -871, -868, -863, -856, -847?\n\"Answer: g**2 - 4*g - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-5\/3)\/((((j*j**(-4\/13)\/j*j)\/j*j*j)\/j)\/(j*j*j*j*j**12*j)) assuming j is positive.\nAnswer: j**(147\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477408 and 1?\nAnswer: 477408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7958 + -15937\/2. Which is smaller: q or 103?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jja when three letters picked without replacement from aaajjajjjadjjjjjjad?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**7\/2520 - 7*j**4\/4 + j**3\/3 + 55*j**2. Let n(h) be the second derivative of s(h). Let u(x) = -4*x + 5. Give n(u(t)).\nAnswer: 16*t**2 - 40*t + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 - -101?\nAnswer: -10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57766637.2 and -9547.\nAnswer: -57776184.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -224 or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67443, -135079, -202715, -270351?\n\"Answer: -67636*l + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-36)\/56)\/(-9)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 1.7. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 - -123. Suppose -4*d - 291 = -3*j - d, 0 = j - x*d - 94. What is the remainder when j is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/279 and 13\/27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(120)\/(sqrt(8)*-2)) + sqrt(15))\/sqrt(5)*1 - (-2 + (sqrt(1944)*-5)\/sqrt(8)).\nAnswer: 2 + 95*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15306088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 26 = 2*z, -4*p + 3*p - 5*z + 26 = 0. Solve -g + p = v - 0*v, 3*v = 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/731 + (-588)\/(-42) + 5910\/(-459)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is 471.619ml in litres?\nAnswer: 0.471619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 8*d**2 - 23*d + 106. What is l(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 22225294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a**3 - 46*a**2 - 2*a**4 + a + a**4 + 189 - 188 to c*a**3 + l*a + u + f*a**4 + s*a**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 57*l + 100. Give i(-24).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -93598759.9 and 191841.\nAnswer: -93406918.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175))*6 - (sqrt(175) + 6*(0 + sqrt(175))).\nAnswer: -5*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 160 = -318 + 526 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 18*b - 50. Calculate m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188690122 rounded to the nearest ten thousand?\nAnswer: 188690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -277*d**2*f + 7*d**2 - 12*d*f - 4*d + 70 wrt d?\nAnswer: -554*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507225 less than -28256?\nAnswer: -535481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1021)\/(-4) - 3\/12) + 0. Let y = b + 416. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1079, -1, -3 in decreasing order.\nAnswer: -1, -3, -4, -1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 times 39.868?\nAnswer: 1.714324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144683565 to the power of 1\/2, to the nearest integer?\nAnswer: 12028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 9. Let s = 5 + t. Suppose 29*r - 167 + 51 = 0. Solve -r*y + 20 = -s*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 4864857.\nAnswer: 243242.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 239286119673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 4*s + 0*s**2 + 2*s + (2*s + 2*s - 5*s)*(2*s - s - 3*s) + 0*s - 9*s**2 + 0*s as r + j*s**2 + w*s and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*b**4 - 269*b**3 + 192*b**2 + 2192867?\nAnswer: 232*b**3 - 807*b**2 + 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -25*d + 344. Determine i(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18788845 and 944?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*(-18)\/(-6). Let d = 7 - l. What is the remainder when d is divided by (4 - -1) + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1\/6, -0.4, 6\/5 in descending order.\nAnswer: 6\/5, 1\/6, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14408*g*j*o**3 + 2*g*j*o - 18*g*j + 4*g - 22 wrt o.\nAnswer: 43224*g*j*o**2 + 2*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5548739.\nAnswer: 7, 67, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 1336576\nAnswer: 1\/83536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11170572.\nAnswer: 2, 3, 7, 71, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -103*f**2 + 5. Let i(t) = -308*t**2 + 14. Give -14*c(x) + 5*i(x).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 354 - 226. Let i = v - 122. Solve -q = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46, 47, 48?\n\"Answer: d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 273878.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 38*f**2 + 3 - 39*f**2 + 1.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.0155629\nAnswer: -0.00155629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from ottvaoaataotoota?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 1 + 1311*f - 2518*f + 6 + 1452*f + 0*f**2. Let n(j) = -j. Give r(n(a)).\nAnswer: -a**2 - 245*a + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 32, 2, 3.\nAnswer: -2, 2, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i + i - 16*i**3 - i + 43*i**3 wrt i.\nAnswer: 162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 282\/10 - 12\/60. Suppose 5*g + a = 3*g. Let p = 15 + g. What is the closest to 1 in 2\/9, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/5 + 2*f**3 + 6*f**2\/5 - 18*f\/5 = 0 for f.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6))\/(-236*(-315)\/(-3024))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11241 less than -917335?\nAnswer: -906094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -0.3 (c) 0.5 (d) -29 (e) -643\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) - (3*sqrt(612) + -3))) + -5)*-3 - (0 + (-4 + 0 + sqrt(612)*-1 + sqrt(612))**2).\nAnswer: -54*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2599, -5205, -7831, -10477, -13143, -15829, -18535?\n\"Answer: -10*c**2 - 2576*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 9*i - 3*n - 4461, i - 882 = 4*n. Let b = -441 + i. What are the prime factors of b?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0.3. Let d be (4\/(-2))\/(-6)*2. Let f = d - -11\/6. Put -0.1, f, v in ascending order.\nAnswer: -0.1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffccfcccccccc. What is prob of sequence ffcf?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1545*k - 3968. What is the units digit of z(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*g. Suppose -2*m + 4 = g. Suppose 0*t**2 - 1\/3*t**3 + m + 1\/3*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17139 - -17138.0561. Let n = x - -0.94. What is n rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/12054*4809 - 16.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -61.5.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/9 + 2*q**3\/9 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-1638)*13*(-77)\/66.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 8. Suppose -k - 10 = -3*w. Suppose 3*d + 33 + 88 = 4*x, -2*x + 5*d = -71. Calculate the remainder when x is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3\/7 + 9*v**2\/7 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 10373?\nAnswer: 10373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -4. Let h = -5 - r. Let c(l) = -l - 8075 + 3968 + 4108. Give c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2104 + 1?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5359358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = 0. Suppose s = -i + r - 6, -7*r = i - 3*r - 4. Suppose 0 = -d - y + 1, 5 = -2*d - 5*y + 13. Sort d, i, -5 in decreasing order.\nAnswer: d, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16 and -77\/10286?\nAnswer: 82288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.03? (a) 5 (b) -4 (c) -22\/5 (d) 3 (e) -4\/15 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghggwwghggvvgggvwv. Give prob of picking 2 g.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 486 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {l: 2, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -112 + 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let g(d) = 1749*d + 2801*d + 3375*d - 1629*d. What is g(a(r))?\nAnswer: 6296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -179273, -358545, -537817, -717089, -896361, -1075633?\n\"Answer: -179272*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/84 + 8*l**7\/35 - 14*l**6\/15 + 2*l**5\/15 + 9*l**4\/2 - 28*l**3\/3 + 5*l**2 + 4. Factor d(a).\nAnswer: 4*(a - 1)**3*(a + 1)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/197 (b) -0.5 (c) 4\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 21. Suppose 2*d = y*d - 1212. Let t = -133 + d. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*u**4 + 69 - 69)*(3 - 2*u - 3).\nAnswer: 168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 6. Let i be s(-6). Suppose i = -5*l - 0*l + 4*l. Suppose a + 2*d = -5 + 2, 2*d - 3 = -3*a. Solve -2*c - c - 9 = l, c = 4*h - a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.5 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10211201200022 (base 3) to base 12\nAnswer: -825652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7693\/9 + -855. Which is the third smallest value? (a) w (b) -0.2 (c) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.5000157 + 33.5. Round y to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:49 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 21 = -4*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9))**(12\/11) assuming a is positive.\nAnswer: a**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 5 - 201\/12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 8. Let b be q(0). Let s be (-7)\/21 + 32\/6. Suppose 2*v + 2*v - 14 = -3*n, 3*v + n = 8. Solve 0 = -5*y - s*w - b - v, y + 4*w + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 1. What is the remainder when 9 is divided by v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 198, 456, 806, 1242, 1758, 2348?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 1944*r**3 + 388232*r**2 - 40901760*r + 885363200.\nAnswer: 2*(r - 40)**2*(r + 526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 3*j**3 + 4*j**3 + 0*j**3 + 13*j to f*j**3 + a*j**2 + h + s*j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from cjjxjjxjxcjo.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.14. What is the nearest to 1\/4 in 1, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-24)*-6*4. Let j = -11 - f. Calculate the smallest common multiple of 4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u - 5*u = -13*u + 880 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 10*b - 23. Let o be r(7). Let m be ((-90)\/(-12) + -5)\/((-1)\/o). Solve -17 = 3*z - m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - x + 2. Let y be c(0). Find the third derivative of -5*i**6 + 3*i**y - 3*i**3 - 6*i**2 + 3*i**3 wrt i.\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpepjpjrppjpjpj. Give prob of sequence pe.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 43*v - 464. Let o be k(11). Let w = 3.3 - 3. What is the nearest to 2\/5 in 2\/13, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -10665389011835?\nAnswer: 10665389011839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from lobooobob.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 618 + -335. What is i rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m. Suppose m*a = 2*a - 4. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**2 + 2*t - 1 - 1\/3*t**3. Differentiate f(c) with respect to c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 - 16668*y**3 + 2929796*y**2 - 5809572*y + 2896448 = 0.\nAnswer: -4336, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16838 + 5286. Let v = n + -727. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 4 - 2*w**2 + 2*w + 0*w**2 + w**2 as i*w + r + u*w**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(2\/35))**(-10)\/(((q\/(((q\/(q\/(q*q**21)))\/q)\/q*q))\/q)\/((q*q*q\/(q\/(q**15*q)))\/q)) assuming q is positive.\nAnswer: q**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/15 + 4\/6. Let j be (0 - (-3)\/9)*i. Solve j = 2*m + 10, 3*t + 3 = 3*m + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-3 + (2 + 18 - 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 - 2*s**3 + 2*s - 2*s**3 + 2*s**3 in the form b*s**2 + a + d*s + m*s**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*y + 12, -118*m + 114*m + 60 = -4*y. Solve -5*o - m = -5*u + 31, 0 = 3*o - 5*u + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 7. Let r(d) = 2*d**2 - 5*d - 8. Let f(i) = -2*r(i) + 3*y(i). Suppose 6 = -c - 2*v, -2*c - v - 7 = 2. Calculate f(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/33*75 - (-249116)\/9996\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2354 and 284406.\nAnswer: 3128466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-11)*(1 - (0 - 4)). Suppose n*x - 354 = 3*u, -2*u + 0*u = 3*x - 220. Calculate the greatest common divisor of x and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 + 1024*h**2\/3.\nAnswer: 2*h**2*(h + 512)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v*w**3 + 1988*v*w + 154*w**3 wrt w?\nAnswer: 6*v*w + 924*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 3*a**3 + a**3 + a**3 + 0*a**3 + a**3 + (3*a**2 + 7*a**2 - 3*a**2)*(0*a + 2*a - 3*a)*(1 - 3 - 6) as o + m*a**2 + j*a**3 + z*a and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -2, 4, 549, -4, 85 in ascending order.\nAnswer: -4, -3, -2, 4, 12, 85, 549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*y - 64*y - 3*y**3 + y**3 + 121*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191 + 196. Suppose 2*h - 162 = 3*n - 7*n, -z*n - 5*h = -205. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -1. Let c be b*(2 - (-5)\/(-2)). Suppose 8 = t + c. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.239\nAnswer: 0.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6492933414 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101011100101100000110?\nAnswer: -101011100101100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-140)\/(-15) + -4)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - k - 2. Let x be p(-1). Suppose 0 = f + 5*a - 15, 4*a = 2*f + x*a + 3. Suppose f*r - 2 = r. Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619681242 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174.911 - -175. Let p = o + -0.08588. Round p to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 68794 - 8967 = 4*u, 0 = 3*u + 4*x - 44839. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*21\/(6384\/32)*10\/10?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/540 and 31\/147216.\nAnswer: 6624720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 77*z + 4000. What is the greatest common factor of z and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.038? (a) 23 (b) 0.2 (c) -3 (d) 0.323 (e) 1 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48994 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/504 and 1\/406917.\nAnswer: 3255336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40, -89, -212, -323, -416?\n\"Answer: c**3 - 3*c**2 - 127*c + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 3. Let v be z(5). Let h = -4 - v. Is h equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6910.\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4686e (base 15) to base 6.\nAnswer: -4452022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 61\/53, 7 in decreasing order.\nAnswer: 7, 61\/53, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643184*s**3 - 13 - 25*s**4 + 9*s**2 + 643151*s**3 + 12*s**2 wrt s.\nAnswer: -600*s - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, m: 11, r: 4}. What is prob of sequence mr?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let x(o) = o - 4. Let d(r) = x(r) + 2*z(r). Let i be d(0). Which is the third smallest value? (a) i (b) 1\/2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 + 176. Suppose -q*g + 2227 = -0*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2450)\/(-75) + -25 + (1 - 0) + -8. Which is the second biggest value? (a) 3 (b) 39 (c) h (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6240 divided by 4?\nAnswer: -1560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -0.4, 0, -2\/71, 1.\nAnswer: -71, -0.4, -2\/71, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21747c (base 13) to base 4.\nAnswer: 3000031221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1971 - -2115. Solve 0 = a*d - 149*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.33, 2\/33, -0.2, -15?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17.5623 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 27 = -2*x - 2*d, 2*x - 13 = 5*d. Let l be 2\/(-14) - 6*x\/63. Let 0 + 0*n**3 + 3\/7*n**2 - l*n**4 + 0*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -33, -68, -123, -204, -317, -468, -663?\n\"Answer: -l**3 - l**2 - 11*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1230384 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 804550987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -733 - 8440865118\nAnswer: -8440865851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and -1 - 1 - -1 - 2 - (-2103 + 18).\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 5*u**9\/3024 - u**8\/168 + u**7\/168 + u**3 + 18. Let l(x) be the third derivative of o(x). Factor l(f).\nAnswer: 5*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 3. Let o(k) = 5*k - 13. Suppose -14 = -3*h + 4*r, -5*r - 213 + 191 = -4*h. Let t = 7 + -11. Determine h*n(a) + t*o(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1)*1)\/(7\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 43109\/2653?\nAnswer: 43109\/2653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/12 and 23\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 1. Give u(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from ccrc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1857942*n*q - 42*n - 512792222*q wrt n?\nAnswer: 1857942*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 295 + 23. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 + 5160*p**3 - 5020874*p**2 + 1052227440*p + 1057253472 = 0. Calculate p.\nAnswer: -3371, -1, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 27. Put -1.7, -0.4, i in decreasing order.\nAnswer: i, -0.4, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.611716 tonnes to grams.\nAnswer: 611716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 29*a**2 - 18*a. Let l(h) = 2*h**3 - 61*h**2 - 37*h. Let p(g) = -6*l(g) + 13*m(g). Factor p(o).\nAnswer: o*(o - 12)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-23)\/2 + 3)*-5*2. Let n = i + -83. Differentiate -2*q + 4*q**4 + n*q - 26 + 25 with respect to q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 15790 - 15850 = -4*p + 20*p, 4*z + p = -21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:04 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140.22 - 135.22. What is the closest to y in -1, 2\/5, -2, -7\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083408 is divided by 28499?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -153 - 135 + 421 + 2*h - 133. Let z(x) = 376*x**2. What is w(z(r))?\nAnswer: 752*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)*-3)\/sqrt(6).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2 + 2 + 0*a - 2*a. Let w(b) be the first derivative of 26*b**3\/3 + 2292. What is w(s(d))?\nAnswer: 104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*-2*(-2)\/(-4). Let z(n) = -4 + 3*n - s + 6. Let j = 3 - 4. Determine z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 12:54 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*t + 312. Let f = t - -128. Suppose 5*u - 12 = g - 37, -3*g = -3*u - 39. Calculate the greatest common divisor of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 - 17*z**2 - 8*z + 3. Let t(p) = -2*p**3 - 6*p**2 - 3*p + 1. Let b(k) = 3*h(k) - 8*t(k). Calculate b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1293*l**3*x*z**2 + 2003*l**3*z**2 + 2*x*z**2 with respect to x.\nAnswer: 1293*l**3*z**2 + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47756143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 minus -69?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2067)\/(-954)*9\/26.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4157 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-12)*(-6 + 0). Let a = d + 11. Let y(h) = -2*h - 4*h - 2*h + 6*h - 1. Determine y(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.59? (a) -4 (b) 25 (c) -0.2 (d) -0.14 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 - 6*d + 4. Let q(h) = 3*h**3 - 13*h**2 - 13*h + 9. Suppose 2*y - 37 = -3*y + 4*j, 40 = 4*y + 2*j. Determine y*r(b) - 4*q(b).\nAnswer: -3*b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*v - 2*y, -5*y = -5*v - 42 + 62 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**5\/2 + 27*k**4\/2 + 19*k**3 + 11*k**2 + 3*k\/2 - 1\/2 = 0. What is k?\nAnswer: -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 554\/4036291 or 0?\nAnswer: 554\/4036291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7010788441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818352.\nAnswer: 2, 353, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 315 + -1136. Let f = -822 - u. Let h = -2 + 0. Which is the closest to h? (a) 0 (b) f (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 892, 899, 916, 949, 1004, 1087, 1204, 1361?\n\"Answer: s**3 - s**2 + 3*s + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*s + q + 1, -s - 7 = -5*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfztzwg. What is prob of sequence rgt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1349051, -1348173, -1347293, -1346411, -1345527, -1344641, -1343753?\nAnswer: -1342863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 382.66 - 377. Let j = -44 + 53.7. Let z = j - i. What is z rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 6*x**2 + 7*x - 60.\nAnswer: -(x - 5)*(x - 4)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*l + 140 wrt l.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 2684929916.\nAnswer: 2684929913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -16 - 26. Suppose 504 = 9*y - 3*y. What is the greatest common factor of y and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v + q = 159, -3*v = -2*q - 159. Let z = 105 - v. Let c be 2\/4*102*1. Is z not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3519*w + 54608 - 177282 = 81428 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 + 174*o**2\/5 - 354*o\/5 + 178\/5.\nAnswer: 2*(o - 1)**2*(o + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 4, u: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110551, -110504, -110449, -110386, -110315?\nAnswer: -110236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 119 + 176. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -48*g + 32. Let n(m) = -2*m - 2. What is 2*h(p) + 32*n(p)?\nAnswer: -160*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -189445017 at most as big as -189445019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/n**0))**(4\/21))**(-48))**(1\/13))**(-3\/5) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmyvmvvvv. What is prob of sequence mvy?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4\/5)\/r))\/(r\/r**9*r) assuming r is positive.\nAnswer: r**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (44175\/(-16275))\/(-1*(5\/(-2) - -3))\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 20?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7810312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**2 + 915 - 814*w - 108*w - 85 + 87*w + 0*w**2 = 0?\nAnswer: 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-89)\/(-4))\/((-4)\/(-16)). Let f = 250 - n. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010000100101000 (base 2) in base 11?\nAnswer: 95943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) -2\/7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 105 = -8*b. Let v(i) = 3*i**2 - 3*i + 2. Let f(h) = -4*h. Let c be f(1). Calculate the remainder when v(c) is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5209 is divided by 2598.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose o*k - 5 = 167. Let z = k + -17. Calculate the remainder when 103 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3\/3 + 15*p**2\/2 - 10*p + 2. Let v be u(11). Let g = v + 55. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6) - 98\/105.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 - 7*p - 7. Let j = 9 - 5. Let k(c) = 3*c**2 + 4*c + 4. Let y(i) = j*r(i) + 7*k(i). Let f(a) = -7*a**2. Calculate y(f(h)).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/21855 and 16\/30597?\nAnswer: 152985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12010842?\nAnswer: 2, 3, 151, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10712 - 10709. What is the nearest to -1 in 1\/3, -0.6, n?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, n: 1, v: 4, u: 2}. Give prob of sequence vu.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) + (-2)\/(-6). Let l = 3.9 + 11.22. Let t = l - 15.2. Is p < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**4 + 6*o**3 + 6*o**2 + 3*o. Let d(l) = l**4 - l**3 - l**2. Let t = 9 + -3. Let k(f) = t*d(f) + j(f). Find the second derivative of k(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**2\/5 - 7452*d\/5 + 2313846\/5 = 0. Calculate d.\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/20 - k**4\/4 - 3*k**3\/2 - 25*k**2. Determine f, given that a(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.56 - -974837159.\nAnswer: 974837156.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 6, i: 6, w: 1, n: 1, f: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 633743016613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 8, 5, -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 50. Let n(r) = 6*r - 142. Let z(k) = 8*j(k) + 3*n(k). Let g(w) = w - 13. What is 5*g(s) - 2*z(s)?\nAnswer: s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1284092, -1284146, -1284202, -1284260, -1284320, -1284382, -1284446?\n\"Answer: -g**2 - 51*g - 1284040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*v**3 - 10*l**3*v + 3*l**2*v + 2*l*v**2 + 16*v**3 wrt v?\nAnswer: -6*l**3*v + 4*l + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/40)\/((-12)\/(-90)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/85 and -81\/136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549 and 5673?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/10 - 26*g**3\/15 + 16*g**2\/5 - 37*g. Factor l(y).\nAnswer: 2*(y - 8)*(3*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:20 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/5 and 8\/305?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -q + p, -15*q + 13*q = 2*p - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23712374 divided by -14?\nAnswer: -1693741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 + 4*v**2 - 3*v. Let h be b(2). Let t be h\/8*20\/(-75). Let k = -89\/60 + t. Find the common denominator of k and -77\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71332 and 106998?\nAnswer: 213996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/75, 1\/11, 6 in descending order.\nAnswer: 6, 1\/11, -1\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*z = 53*z + 245*z - 11148 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 12*g + s - 18, 0 = g + 4*s + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -284 - 6*b + 284 as p + o*b and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.42 - 0.72. Which is the third smallest value? (a) x (b) 2\/25 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -145, -252, -401, -592, -825, -1100?\n\"Answer: -21*c**2 - 2*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223213042 by -6227.\nAnswer: -35846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 1\/2*j**3 + 0 - 12*j + 0*j**2. Let a(f) = -2*f**2. What is z(a(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -210*(2 + -20)\/((-147)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25775 + -20191. Sort d, -3, 2.\nAnswer: -3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -136510, -273019, -409528, -546037, -682546?\n\"Answer: -136509*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -12)\/(2\/4). Let q(s) = -a - 5*s**3 + 4*s**3 - 4*s + 2*s. Suppose -5*o - 7 = -17. Let j(i) = -i**3 - 2*i - 3. Give o*j(y) - 3*q(y).\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112955 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 + a - 4. Let p be 2*(-4)\/24*-24. Let w be h(p). Suppose -46 = w*c - 182. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 1315, 1990, 2677, 3376?\nAnswer: 4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49560 + -49560.07. Let j = 11 + -15. Put h, -0.7, j in ascending order.\nAnswer: j, -0.7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/4)\/(10\/(-16)). Let v be (-1)\/b + 10785618\/72. Round v to the nearest one thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(66) - (sqrt(66) - (-3*(sqrt(66) + sqrt(66) + sqrt(66)*-1) + sqrt(66))))\/(sqrt(726)*2)*-5)**2.\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44402554?\nAnswer: 2, 7, 3171611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 17*s**2 - 15*s + 10. Let c be w(18). Let q = c + -59. Let h(r) = r**2 - 8*r + 6. Determine h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 673488 and 6236.\nAnswer: 673488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -284 * -3\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6520, -6440, -6360?\nAnswer: -6280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.57 + 12.27. Let b = 27 + -26.94. What is the second biggest value in -5, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let g(y) = -10*y. Give -g(r) + 3*z(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 + d. Determine g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 25. Solve m = -8*k + 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -11. Suppose 0 = -w + 2*q + h, 0*q + 5*q = -10. Suppose -w + 84 = 3*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 95*n**2 - 72*n + 760. What are the prime factors of a(10)?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + h - 6, -t + 11*h = 7*h + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*z**5 + 9114*z**4 - 39235768*z wrt z?\nAnswer: -6800*z**3 + 109368*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -17*i**6\/30 + 4*i**2 - 37*i. Differentiate h(k) with respect to k.\nAnswer: -68*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1 (b) -3 (c) 0.2 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**3 + a**2 + a + 6. Let o(l) = 19*l**3 - l**2 - 2*l - 10. Calculate -3*o(n) - 5*r(n).\nAnswer: -7*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**8\/3360 + x**7\/140 + 3*x**6\/40 + 9*x**5\/20 + 11*x**4\/6 - 6*x. Let m(y) be the third derivative of n(y). Factor m(i).\nAnswer: 2*(i + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 1. Let t(b) = -55*b**2 + 2*b - 35. Let m(f) = -k(f) + t(f). Find the first derivative of m(u) wrt u.\nAnswer: -110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -20*m**3 - 27*m**2 - 7*m + 41. Let s(o) = 7*o**3 + 9*o**2 + 2*o - 14. Let i(v) = -6*n(v) - 17*s(v). What are the prime factors of i(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 1853?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -30*u + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*j = 4*j + 56, 0 = -2*r + 5*j + 28. Let b be (-6)\/r - (-51)\/21. Suppose -948 = -b*l + 5*x - 170, 0 = l + 2*x - 371. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26789764?\nAnswer: 2, 6697441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1093149\/(-14013) + 78)*(1\/(-10))\/(2\/24)?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -1) + 15 + -64 + (1 - -7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3134 - 1211. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.237424 hours in milliseconds?\nAnswer: 11654726.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let o(u) = -14*u - 9. What is -o(x) - 5*r(x)?\nAnswer: 9*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115740)\/13503*-1*(-14)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 12 = 3*u. Let s(y) = -y**3 - 4*y**2. Let r be s(u). Suppose r = -g + 8 + 7. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838541819.\nAnswer: 1381, 607199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10 + 14\/5. Let m be 16\/(255\/17 - 13). Suppose 28 = y*t - m. Calculate the remainder when 57 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/20)\/(10\/(-10))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18856130 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 18*s + 18. Let b be h(1). Let v(q) = q. Let c(u) = 0 + 2 + 2*u - 4*u. What is b*c(g) - 4*v(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/359 + 1069\/1436. Let h(t) = t**3 + 29*t**2 + 3*t + 87. Let g be h(-29). What is the nearest to 0.2 in g, s, 1\/5, 1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2854 - -547?\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8426139125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6261.9 and 117?\nAnswer: -732642.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -110, -236, -392, -566, -746?\n\"Answer: 2*x**3 - 33*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -1796, -4549, -8402, -13355, -19408?\nAnswer: -26561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-31))**(-1\/42) assuming q is positive.\nAnswer: q**(-31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:26 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -99. Solve 4*n + p - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137856356 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -50?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 17*p + 9*p to l + v*p and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13176 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 469\/765 + -2\/153. Which is the smallest value? (a) f (b) -0.4 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/(q\/q**(3\/10)))\/(q**(-2\/67)*q\/(q\/(q\/((q*(q\/q**(1\/30))\/q*q)\/q)*q))) assuming q is positive.\nAnswer: q**(-1712\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -u - 11, 4*u - 16 = -4*l - 0*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 361 = 321 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 1, x: 1, i: 1, r: 2, s: 1}. Give prob of sequence hs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 + 4159\/21. Let l(u) be the first derivative of 4\/21*u**3 - 1\/7*u**2 - 4\/35*u**5 + 0*u**4 + 2 + 0*u + r*u**6. Factor l(w).\nAnswer: 2*w*(w - 1)**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9. Let b(y) = y + 17. Let j(s) = 3*b(s) + 7*n(s). What are the prime factors of j(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8230640 is divided by 23996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 4*s - 3. Let c(x) = -2 + 0*x + x - 2*x. Let p be c(3). Let m be (-2)\/p + 13\/5. Give u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/h*h*h**(3\/2))\/(h\/h**1)**(-46)*(((h\/(h\/(h*h**(2\/3)\/h)))\/h)\/h)**(-18)*h**(2\/17)\/(h\/h**0) assuming h is positive.\nAnswer: h**(410\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -932, -1862, -2792, -3722, -4652?\nAnswer: -5582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98136)\/(-1504))\/(36\/16).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/48126 and 107\/77742?\nAnswer: 1010646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 0. Suppose 0 = 9*n - 17 + 26. What is the nearest to n in 4\/9, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:10 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 189.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 0.3, -7\/180 in ascending order.\nAnswer: -3, -0.1, -7\/180, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)\/(1 - 0). Suppose l - 2*l - 5 = u. Let p(b) = 3*b**2 + b + 4. Is 27 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 1, h: 1, q: 4, z: 3, k: 4}. What is prob of picking 4 f?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 329 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 - 4*h - 2. Let p be s(-3). Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 4. Suppose k = -3*g + 9. Suppose -3*u + 5 = -g*u. Put -6, -1, u in ascending order.\nAnswer: -6, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose q*c - l - 1 = 7*c, 2*l + 5 = -5*c. Let d(p) = c + 4 - 9*p**3 - 2*p - 4. Calculate d(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/45 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14242389*-0.076.\nAnswer: 1082421.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 - -3. Let h be (-1456)\/10 - (-7)\/(-7). Let u = -146 - h. What is the closest to k in u, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + 415?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 59 + 53 = -3*q, 6 = 2*h. Sort -3, 1, 74, q in descending order.\nAnswer: 74, q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 87 + w**2 - 98 - 5*w. Let n be y(9). Let a(f) = 12*f - 23. What are the prime factors of a(n)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + t**2 - 6*t.\nAnswer: t*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**2 + 2 + 11*d**2 + d**2 + 2*d)*(-4 - 20*d**2 + 4).\nAnswer: -20*d**4 - 40*d**3 - 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913083.\nAnswer: 683, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161.97 - 163. Let k = a - -0.03. Let u be -1 + (3 - 96\/45). Sort k, -1\/2, u in ascending order.\nAnswer: k, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2280 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144685586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l + 21*l + 47151 - 47151.\nAnswer: 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 346*n + 320*n.\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/25 + w**4\/15 - 14*w**3\/5 - 18*w**2 + 16*w. Factor k(j).\nAnswer: 4*(j - 5)*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006934604112 to 7 dps.\nAnswer: -0.0006935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, e: 2, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 156 = -212. Suppose 0 = -o + 3, o + 1274 = 5*k - o. What is the greatest common divisor of k and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002210110 - -100?\nAnswer: 2002210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let i be 8*(2 - 3\/s). Solve 3*l + i = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {m: 1, a: 7, j: 2, u: 2, r: 1, g: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 68. Let h(v) = 27*v**2 - v + 2. Determine h(j(z)).\nAnswer: 243*z**2 + 11013*z + 124782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/6 + w**2\/2 - 2*w. Let m(n) = -n**2 - 5*n - 6. Determine m(c) + 5*q(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -35. Suppose -2*c - 4*f + 4 = 2, s = 4*c + 5*f. Let h(k) = 5*k**2 - k. Let n be h(1). Solve -c = 3*g - n*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0, -0.1118718, -3?\nAnswer: -0.1118718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*l**2 + 8*l**3 + 8*l**3 + 13*l + 0*l**2 - 19*l**3 as t + m*l**3 + i*l + f*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/2)*m*(m\/((m\/m**(1\/4))\/m*m))\/m)**(-10\/9)\/(((m\/m**0)\/m)**17\/(m\/(m\/(m**(-1)\/m)))**49) assuming m is positive.\nAnswer: m**(-613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3306.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 11*s**2 - 12*s**2 + 49*s**2 - 13*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y - 7. Let u(m) be the second derivative of -m**5\/30 - 35*m**2 + m + 37. Let a(v) be the first derivative of u(v). Give b(a(x)).\nAnswer: -16*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b**2 + 14. Let w(k) = -9*k**2 - 6. Let o(v) = -3*g(v) - 7*w(v). Let i(j) = -2*j + 298. Determine o(i(c)).\nAnswer: -12*c**2 + 3576*c - 266412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 147409.34626 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.13 (b) -6 (c) 17.8 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*l**2 + 2*l**2 + 0*l**2 - 6*l**2 - 3*l**2 + 3*l**3 - 41*l as s + m*l**2 + c*l + y*l**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -63012*u - 63391. What is g(-1)?\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2004583, 8018317, 18041209, 32073259, 50114467?\n\"Answer: 2004579*q**2 - 3*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108267 or -108270?\nAnswer: -108267","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:17 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*h**4 - 6389*h**2 - 482396 wrt h?\nAnswer: 216*h**3 - 12778*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19803*s**3 + 182296*s.\nAnswer: 118818*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 15. Determine u(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*5\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/(-102)*(2 + (-10)\/2). Let f(q) = 2*q + 1. Let t(z) = z**2 - z. Let x(d) = -f(d) - t(d). Let c be x(h). Put 1, c, 15 in ascending order.\nAnswer: c, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -0.2, -3, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n\/n**3))*n**(-6\/11)\/n*n*(n**(3\/26)*n)\/n*n**(3\/13) assuming n is positive.\nAnswer: n**(-343\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118011, 236019, 354027, 472035, 590043?\nAnswer: 708051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 4. Let x be (0 - 3)*25\/(-15). Let p(r) = -r - x + 4*r**2 + r + r. Calculate -3*d(u) + 2*p(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41607336 and 0.4?\nAnswer: 41607336.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -165*l + 2852. Calculate u(18).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2352 and 151536?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3479 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 36?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -184293 - 4\nAnswer: -184297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 20*r**2 - 71*r - 156. Let t(m) = 6*m**3 - 100*m**2 - 339*m - 780. Let l(d) = 11*p(d) - 2*t(d). Solve l(b) = 0.\nAnswer: -13, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*210\/14*(-2)\/40?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4\/13 - 44\/13*f**4 - 64\/13*f**2 - 76\/13*f**3 - 2*f - 10\/13*f**5 = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*1*(-2)\/(-2). Let b = 110 - 117. Let c = o - b. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*x + 24 = -3*p, 4*p = -2*x - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6152 and 7690?\nAnswer: 30760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 8*u + 13. Let r be h(-4). Let p(x) = -x**3 - 3*x**2 + 8*x - 7. Let c be p(-5). Put c, 1, r, 4 in increasing order.\nAnswer: r, 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 10*c + 4. Let u be k(-11). Let x = -12 + u. What is the first derivative of s**2 - s**2 + 9 - 1 + 2*s**x wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(2\/55)))**(-10)\/(((x*x*x\/(x\/x**(-3\/8))*x)\/x*x)\/x*x\/x**(-38)) assuming x is positive.\nAnswer: x**(-4423\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:59 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (6*(-2)\/15)\/((-115)\/4600)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9213, -9214, -9215?\n\"Answer: -t - 9212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 340665507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 2*y**2 + y + 1. Let l be p(-2). Suppose -9*j = -l*j + 18. Let a = 27 + j. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v + 11. Determine c(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -179\/2*z**2 + 0 - 295*z + 38\/3*z**3. What is the derivative of n(t) wrt t?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*z**2 + 101*z**2 - 4*z + 2 - 164*z**2 + 4*z**3 in the form w*z**3 + p*z + d + f*z**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8*s - 2022. Let t(l) = 7*l + 340 - 4*l + 2*l**2 - s. Let q(v) = -14*v**2 - 22*v - 22. Calculate 6*q(a) + 44*t(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1050\/3600)\/((-1)\/(-1))*(3\/3)\/(-42)?\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = 57*j + 194*j + 10*j. Let q = 25 + -21. Let p = -77 + 229\/3. What is the fourth biggest value in j, p, q, -0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 103 + 40 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/862578 and 37\/1384?\nAnswer: 3450312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1930 + 1005. Let n = 924.9337 + f. Let j = 2.7763 + n. Round j to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -844 by 646400.\nAnswer: -211\/161600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8009451 decades to millennia.\nAnswer: 0.008009451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 26. Suppose 2*u - 7 = 3. Calculate the highest common divisor of u and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*r - 1287, -4*r = -2*b + 594 + 1998. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136919767 is divided by 1649?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 - -121. Let r = t + -52. Round r to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 6*u**2 + 5*u**2)*(226*u**2 - 199 + 199).\nAnswer: 1582*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/(-6) + 3\/(-9). Solve -2*t + 5*q + 1 = t, -q = 3*t - c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -69*k**2 + 0*k**3 + 1\/150*k**6 + 0*k**4 + 1\/525*k**7 + 0 - 2\/75*k**5 + 0*k - 1\/1680*k**8. Factor d(y).\nAnswer: -y**2*(y - 2)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(75) - (0 + sqrt(75))) + 2 + -2*(1 + sqrt(75) + 5).\nAnswer: -10*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.5, -3, 1, 0 in increasing order.\nAnswer: -3, -0.5, 0, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3728250 - 6127\nAnswer: 3722123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6446.3 to the nearest ten.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12115501 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2948910778?\nAnswer: 2, 11, 53, 617, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - u + (-2 + 0 + 0)*(0 - 2*u + 0))*(u**2 - 130*u**4 + 4 + 264*u**4 - 132*u**4).\nAnswer: 10*u**5 + 5*u**3 + 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1029469083*w**5 + 57925381*w - 7 wrt w?\nAnswer: -20589381660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*o - 12 = 0, -3*l + 3*o = -o - 18. Calculate the smallest common multiple of (1 + l)*(1 + -2)\/(-1) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 - 4520*l\/7 - 2553800\/7.\nAnswer: -2*(l + 1130)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*n - 838 = -7*i, 0 = 4*i + n - 1149. What is the greatest common divisor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -17495?\nAnswer: 1749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 871290352 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 373?\nAnswer: -9\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*o - 3*o**5 + 4*o**5 - 3*o**5 + (-3 + 3 - 1)*(4*o**5 + 3*o**5 - 6*o**5) - 24*o**5 - 35*o**5 - 4*o**5.\nAnswer: -66*o**5 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 16*w + 4*w**2 + 10 + 10 + 12*w**2. Suppose -77 = -5*s - 0*v - 2*v, 2*v = 5*s - 93. Let r be c(s). Solve z + 2 + r = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 o when four letters picked without replacement from ppppsddppdpooppd?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/9 - -1\/9. Suppose 3*m - 13 = -28. Which is the smallest value? (a) 0.3 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500407 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 5*z**2 - 15. Let b be j(5). Let s = 547 + b. List the prime factors of s.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + o + 14 = 0, -2*o - 6 = -3*c + o. Suppose 7*r - 9*r + 90 = 0. Let p = r + -38. Calculate the lowest common multiple of p and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-676)\/(-78))\/(6\/(-135)). Which is smaller: a or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8738321*c**3*p**2 - 4*c**3*p - 3503766*c*p wrt p.\nAnswer: -17476642*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 619*w**2 + 1850*w - 14. Calculate g(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/2 - 8)*8359\/(-26). Does 22 divide 2\/21*d - 8\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62698972013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1664951151 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.942 + -0.058. Let v = 90.33 + -2.23. Let g = i + v. What is g rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*h**3 + 640*h**3 - 326*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 - 245. Let b = 25 + w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 2 = 0. Suppose 0 = -3*g - 15, 0 = 3*b - 4*g + 6*g + 1948. List the prime factors of (-2)\/(-6) - (b\/6 + v).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/9 + 760*a\/9 - 742 = 0.\nAnswer: 9, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*a - p - 2, -3*p = -a - 1. Let o(r) = -4*r**2 + 2*r. Let m(b) = b**2 - b. What is a*o(l) - 2*m(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468535 to the power of 1\/2, to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, v: 4, e: 1}. Give prob of sequence cce.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9089 is divided by 91.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, y: 2, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 458 + 450. Let b(z) be the second derivative of 1\/12*z**4 + p*z**3 + 0*z**2 + 0 + z. Find the second derivative of b(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 26*r**2 + r + 19. Let l be g(-13). Let s(i) = -i + 6. Determine s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:46 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3 = 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 105*v**2 + 920*v - 1680.\nAnswer: -5*(v - 4)*(v - 3)*(v + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/7, -5, 3, -28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.55*-0.3.\nAnswer: -12.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.01633 to 0 decimal places.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 9. Let o be m(-6). Suppose -3*n = 2*n + 2*i, n - 5*i - o = 0. What is the greatest common factor of 5 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 10*b = -54 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6019866 and 1\/66218526?\nAnswer: 66218526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10251, -20503, -30755, -41007?\nAnswer: -51259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/2 - 3*x**2\/2 + 3*x. Let d = 8 - 3. Let s(u) = u - 4. Let t be s(d). Let y(z) = -z + 1. Give t*o(m) + 4*y(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513258912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9189 - 1715. What are the prime factors of i?\nAnswer: 2, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 6) in base 3?\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24603*c**3\/5 - 76*c**2\/5 - 4*c\/5.\nAnswer: c*(139*c - 2)*(177*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/15)*p*p\/(p\/(((p**(-1\/2)*p*p)\/p)\/p))*p)\/(p**(-6)\/p**(3\/8)))**(1\/55) assuming p is positive.\nAnswer: p**(1081\/6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 384224, 768426, 1152638, 1536866, 1921116?\n\"Answer: y**3 - y**2 + 384198*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -45. Let q be o\/(-14)*2632\/(-141). Solve -q = -3*h - 5*k - 0*k, -17 = -h - 4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 6, -22, -68, -138, -238?\n\"Answer: -v**3 - 9*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 1, 571, 92 in decreasing order.\nAnswer: 571, 92, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 1. Let w be h(0). Let p(u) = u**2 + 6*u - 3. Let s be p(-7). Suppose 5 = -c - 5*g, -s*c - g + 2 = 3. Sort c, 2, w in descending order.\nAnswer: 2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63810 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1594, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22742, 22737, 22720, 22685, 22626, 22537, 22412?\nAnswer: 22245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 924*t = -927*t + 21, 4*m + 10 = 2*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and -2.24494?\nAnswer: -161.63568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 65*t**4 - 115*t**3 + 55*t**2 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4 - 11*g**3\/3 + 6. Find the third derivative of t(p) wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (6 - (0 + 1)). Which is smaller: 19\/7 or a?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Suppose 4 = -c, -4*c - 44 = -i - p*c. Let f = 12 + i. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let o(r) = 3*r. Let a(b) = o(b) - 2*z(b). Let k(d) = 698*d**2. What is k(a(g))?\nAnswer: 698*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-36.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 471275872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1004 - -15332?\nAnswer: 16336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 11, -12, -214 in descending order.\nAnswer: 11, -1\/5, -12, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31177494 divided by 10392498.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 11 - 9)*(5*t**4 - 4*t**4 - 3*t**4).\nAnswer: 4*t**5 - 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/16206138 and 89\/48618414.\nAnswer: 48618414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1878.9617 + -34.258.\nAnswer: -1913.2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128569 - 128568.99900991. Round u to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12031, 717, -8 in descending order.\nAnswer: 717, -8, -12031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 474 and 186.\nAnswer: 14694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80847076*a**3 + 106175856*a**2.\nAnswer: -485082456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/331252 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35609 is divided by 154.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8217, 16246, 24091, 31752, 39229, 46522?\nAnswer: 53631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24838*c - 25952*c - 69068 = 0 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i - 1. Let k(t) = -18*t**4 + t**3 - 10. Let f(h) = -2*k(h) - 2*q(h). Find the first derivative of f(w) wrt w.\nAnswer: 144*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*y**2 + 382*y**2 + 44*y**2 - 63*y**2 as m*y**2 + v + k*y and give m.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j + 139 = 6429. Suppose -3*t = 4*i - 8*t - 439, t + 3 = 0. Let g = j - i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*v - 108 + 3, 2*b - 21 = -v. Let h be (-4 - -1) + -17 + v. Is 7 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4813*d - 264 = -4837*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*n - 11, 2*m - 2*n + 4*n - 6 = 0. Let l = 10 - 34\/3. Is m greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/13 + (-10)\/65. Calculate the common denominator of i\/(-3) + (-533)\/(-390) and -107\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o + 12. Let m(j) = -65*j - 70. Let f(q) = -35*h(q) - 6*m(q). Let s(z) = 5*z**2. Determine s(f(n)).\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0 - 6, -2*h = -3*n - 44. Suppose 4*z - 1 = h. Suppose d + 2*y - 130 = 0, 451 = 3*d + z*y + 64. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*1*6)\/sqrt(3).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.96, -0.2, -234 in decreasing order.\nAnswer: 2, 0.96, -0.2, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 82\/7, -0.2, 5, 0.3.\nAnswer: -0.3, -0.2, 0.3, 5, 82\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -645608, -1291220, -1936832?\n\"Answer: -645612*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864\/8 - (1 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsbbbbsztbtwbwsbzbr. Give prob of picking 1 r, 1 t, and 2 b.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120945*v + 2*v**2 - 60519*v - 60449*v.\nAnswer: 2*v**2 - 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320.14 - 321. Which is the nearest to -0.1? (a) -1\/4 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1368 = -2*f - 1364, -2*z = -2*f - 38 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 88*d - 602. Give n(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + 3116. Let b = x + -3010.7. Round b to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/2)\/(-3))\/(((-3)\/(-344))\/((-741)\/1976))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -13 + (-5 - 0 - 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.646687285 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -32, -6570, 1, 2, -1 in increasing order.\nAnswer: -6570, -32, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:34 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-252)\/30 + 8)\/(8\/(-160)) and (-2)\/4 - 171\/(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-14)*f*f\/f**4*f*(f\/(f*f**(-11)))\/f**7 assuming f is positive.\nAnswer: f**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 35*s**2 - 2*s - 4. Let m(h) = -770*h**2 + 45*h + 90. Calculate 45*g(x) + 2*m(x).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24824336 by 17656.\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 + 0 = 0. Let u = k + 8. Suppose 0 = q + 5*c - 432, -u*q + 2*c + 1196 = -3*c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) -1 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.36*0.3\nAnswer: -1.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6862980 rounded to the nearest 100000?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - t - 1. Let c(l) = -3*l**4 - 786*l**3 - 47607*l**2 - 90006*l + 138402. Let b(f) = c(f) + 18*j(f). What is w in b(w) = 0?\nAnswer: -124, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223005072 divided by 4?\nAnswer: 55751268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64260 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = -4*r + 321, -3*r = -4*p + 16. Sort 2, 60, p, -1.\nAnswer: -1, 2, p, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.2, 218.63, -0.1?\nAnswer: 218.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/2 + 24*w - 96 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0.1133, 10 in ascending order.\nAnswer: 0.1133, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -3, -4, 6700\/3, 0.01, 0.1, 8\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve r + p = -2, 3*r + p = -6 + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(726))\/(sqrt(3) - (sqrt(12) + sqrt(24)\/sqrt(2)) - sqrt(3)) - 4*(2 + ((sqrt(16)*-1)\/sqrt(8))**2))*-4.\nAnswer: 11*sqrt(2) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * 25861.\nAnswer: 3879.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59, 282, 659, 1190?\n\"Answer: 77*l**2 - 8*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -385, -350, -289, -190, -41, 170?\n\"Answer: 2*c**3 + c**2 + 18*c - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/120 + t**5\/12 - 7*t**4\/12 + 2*t**3 + 11*t**2. Calculate the remainder when 68 is divided by u(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 87. Solve -5*p + 9 = f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 2303.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.293 - 0.053. Let q = 14 - r. Let y = 0.04 + q. Which is the biggest value? (a) 3 (b) y (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -313 + 326. Suppose -c*g = -3*g - 5360. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2333 + -1144?\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.2. Let g = f - 0.4. Let y(a) = a**2 + 13*a - 114. Let q be y(-19). What is the second smallest value in 2\/3, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 + 212. Sort j, 4, -4 in decreasing order.\nAnswer: j, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15444*x = 2132*x - 222302 - 1358819 - 141327 for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16616535?\nAnswer: 3, 5, 13, 85213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9*9)\/2. Let v(f) = 0*f**3 - 1 + 4*f - 3*f**2 + 0*f**3 + f**3. What is the tens digit of v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-2268)*27*-27 - -71.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20110000120 (base 3) in base 12?\nAnswer: 614b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 5*1 + -1. Let w(v) = -v**3 + 4*v**2 + 3*v + 7. Let y be w(5). Let d be -1 - 1\/(1\/y). Solve i = -m + d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6783870 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 521605 divided by -7?\nAnswer: -74515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4836 and -3347.9.\nAnswer: -4966.94444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -805 + 45079\/56. Suppose -40*u = -752 + 112. Let o be u\/152 - (-63)\/(-57). Which is bigger: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4663 is divided by 323?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*k + 3 - 14 = 0, 0 = j + 4*k + 1. Find the third derivative of -z**j + z**2 - 2*z - z**3 + 2*z wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211201011 (base 3) to base 11\nAnswer: -11490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014221813 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 0*m**5 + 0*m**3 + 0*m**6 - 1\/7*m**7 - 23\/2*m**2 - 20*m + 1\/6*m**4 + 0. What is the third derivative of r(c) wrt c?\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2056*s**2 + 2025*s**2 + 2089*s**2 - 6169*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 273 = -327 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/11)\/j)\/j*j**(-2\/9)*j\/(j**11\/j)*(j**(-5)\/j)\/j assuming j is positive.\nAnswer: j**(-1768\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4190*j - 83716 - 113214 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-12)\/(-81)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43236996?\nAnswer: 2, 3, 11, 327553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(15\/(-4))\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g - 1. Calculate w(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8783480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1096*d - 1009*d + 468*d - 1203*d - 4470 wrt d.\nAnswer: -2840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232591 - 3*s + 116275 + 116316.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:11 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/8, -15149, 5, 1\/4, 2, 4, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -9 + 9 + -10 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 2:32 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1268*s - 10350 = 1263*s. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253236 + -253238.40007. Let h = v + 2.4. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, -2, -6, -0.73 in descending order.\nAnswer: 2\/5, -0.73, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/5, -3\/2, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 2*s + 10*s - s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100797.\nAnswer: 3, 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26294*n**3 - 10241*n**3 + 15781*n**3 - 1.\nAnswer: 31834*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 3*d + 25)*(-2 + d + 2)*(-2 - 2*d + 2)*((-2 + 0 + 0)*(-1 + 0 + 0) - 2 - 19 + 2).\nAnswer: -102*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164543326 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6836 and 662073436.\nAnswer: 6836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 96 = -81 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 3*o**4 - 2*o**4 + (7*o - 4*o - 6*o)*(-o - 3*o**3 + o) as u + d*o**2 + a*o + h*o**4 + w*o**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-0.29\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - q = 2*q + 53, -4*d = 4*q + 108. Is ((-30265)\/25)\/(-3 + d\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13*l - 15. Let x(p) = 6*p + 11. Let v(g) = -2*q(g) - 5*x(g). Let t be v(-5). Let w(c) = 2*c**2 + 3*c + 2. Give w(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4489.237 rounded to the nearest integer?\nAnswer: 4489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 5, p: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -29*p**2 - 4*p + 4 + 2*p**3 + p**4 + 0 + 26*p**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 374, 361, 338, 305, 262?\n\"Answer: -5*o**2 + 2*o + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -466*f**3\/9 + 173380*f**2\/9 - 5377384*f\/3 + 107632.\nAnswer: -2*(f - 186)**2*(233*f - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 21*w - 5. Let s be k(-9). Let d = s - -107. Let t(m) = m**3 + 5*m**2 - 5*m. Determine t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 - w**2 + w**2)*(w + 4*w - 3*w) + 5406*w**3 + 1318 - 1318 in the form l*w**2 + g*w**3 + r + p*w and give g.\nAnswer: 5402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n\/(n\/(n*n**(-2\/33))))*(n**0)**(1\/14))**(13\/2) assuming n is positive.\nAnswer: n**(442\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 127.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 2*g**2 - 11*g - 4. Let p(r) = 2*r**3 - 3*r**2 + 12*r + 5. What is 3*h(j) + 2*p(j)?\nAnswer: -2*j**3 - 9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v - 9. Let l = -3 - v. Suppose -c + l = -4. Solve r = -r - c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 232\/7*l - 78\/7*l**2 + 6\/7 = 0. What is l?\nAnswer: -1\/39, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -826b (base 12) to base 8\nAnswer: -33563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 + 0*l**2)*(-5*l - 2*l**2 + 5*l) + (-l**3 - l**3 + 0*l**3)*(10*l - 35 + 35).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109980 and 3744?\nAnswer: 879840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + -5473?\nAnswer: -5531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/9 - (-16)\/(-72). Factor 4*s - 12 - 2*s - 577*s**d + 579*s**2.\nAnswer: 2*(s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 1)\/(-1) - 68. Let n = s - -78. Solve -3*z = n*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, 0, 16 in decreasing order.\nAnswer: 139, 16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314839 is divided by 1702?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14550 + 14550 + 6*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**5 + 53*i**2 + 16*i - 1269. What is the first derivative of c(k) wrt k?\nAnswer: -20*k**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -21 - 14. Let y = c - 2. Calculate the remainder when -2 + (-1)\/((-1)\/15) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29468 - 11574. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 8. Let q(z) = -z - 1. Let b(y) = -4*q(y) - s(y). Let x be 4\/6 + (-44)\/(-6). Let c be b(x). Solve 0*t - 4 = c*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10872975 take away -0.3?\nAnswer: 10872975.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332647691 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28562536207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -451, 48, 3, -2, -0.2, -0.3 in ascending order.\nAnswer: -451, -2, -0.3, -0.2, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*((5*q - 30*q - 2*q)*(-2*q**2 + q**2 - q**2) + 0*q**3 + q**3 + 0*q**3).\nAnswer: 110*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 163187119909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -423 - -431. Suppose -20 = 4*q - a*q, -u + q = -14. What is the remainder when 80 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9946, 10019, 10076, 10117?\n\"Answer: -8*i**2 + 97*i + 9857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.2 - 38.9. Let p = h - -53. Let s be 4\/(-3)*((-413)\/98 + 4). Which is the closest to p? (a) -0.04 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-3)\/20)\/((-19)\/76))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 34. Let c be t(-14). Let r(o) = 11*o - 38. Does 10 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:01 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6246027 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 - 1365*f - 3990. Calculate g(276).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*f - 3*k, -2*k - 19 = -2*f - 7*k. Let d(a) = -a + 2. Let p be d(f). What is the second derivative of 9*r - 5*r**p - 8*r - 2*r**5 wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1591521?\nAnswer: -1591521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(48) - sqrt(12))\/(1*(sqrt(6) - (sqrt(6)*-1 - sqrt(6)))).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6543 = -44*m - 1615. What is the highest common divisor of 784 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 10:17 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-45) + 29\/9. Suppose n*h - 155 = -5*y, 171 = 5*h - y - 106. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*s + 3 = -1, s + 17 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + (-3 - -6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**3 + 80*s**2 + 17*s - 115. Calculate h(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -334, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4172156 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, -4, -1\/13, -0.08?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1733270 != -1733267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 6501\/285)*110\/(-33).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7639122 + -0.0230508. Let f = p - -6.78696428. Let a = f + -3. What is a rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*45\/(-63)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 531 - 515. Suppose 30*c = -g*c + 53912. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 4 - 28*v**3 - 4.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2987406?\nAnswer: 2, 3, 29, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -984, -7725, -25964, -61449, -119928?\n\"Answer: -958*f**3 - f**2 - 32*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/9 - 61724*y**2\/9 - 493646*y\/9 + 61708 = 0. Calculate y.\nAnswer: -30854, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, s: 12}. Give prob of sequence pss.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 15 = -5*a, 7*s - 5 = 3*a + 3*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 6*g**2 - 7*g**2. Let j(t) be the first derivative of -3*t**3 - 16174. Give j(a(n)).\nAnswer: -1764*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/17, -5\/33, 0.3, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -63, -4, 3 in decreasing order.\nAnswer: 3, -3, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -5 - 2) + 1. Let s(u) = -u + 5. Let d be s(h). Let t be -1 + (d\/(-1) - -2). Solve t*w = -1 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 u, and 1 z when four letters picked without replacement from uozutuohooou.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 times 4.73666?\nAnswer: 0.1657831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - 267*n + 726. Calculate s(-91).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552967, 553622, 555405, 558880, 564611, 573162, 585097, 600980?\nAnswer: 621375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 32758 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*g + 202*g - 310. Which is the closest to g? (a) 0 (b) 97 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19015 = 474*l + 329*l + 14711 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -10. Let a = 6 + x. Let y = 2 + a. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 17. Solve -i*f = -f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*o = -7 - 5, -20 = -4*p + 2*o. Suppose p*y = 8*y - 644. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*n - 430 = 32*n + 1562 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10105 - 2?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3667.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 100. Suppose 0*v - l = -5*v. Suppose 2*c - c - 5 = 0, 0 = -r + v*c + 60. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)\/r**(-1)*(r**1\/r)\/r*r**(1\/4) assuming r is positive.\nAnswer: r**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 2. Let d be s(4). What is the units digit of 18\/15 + d\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + -3 + (2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 910 - 1480. Let j = r - -2035\/4. Let s = j + 60. Find the common denominator of s and -13\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -3.6, 0.4, 5, -1?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 2*h - 19. Let a(o) = 3*o**2 + 2*o + 56. Let m(l) = -3*a(l) - 8*v(l). Give m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9799\/16236 + 2\/(-8) and 61\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98582 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 35*v**5 - 130*v**4 - 1020*v**3 + 5320*v**2 - 5120*v - 1920 = 0.\nAnswer: -6, -2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*g + 3*g + 7.\nAnswer: g + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9204 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679174422?\nAnswer: 2, 3, 43, 109, 24151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-2))\/(-4))\/(3\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5633.87 and 7324611.\nAnswer: 7330244.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 132*h - 121. Determine u(67).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3) + 17 + (-440375)\/25745.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 - 42 = -4*b, -5*b + 4*x - 1 = 0. Suppose -5*z + r = -0*z - 159, -b*r = -3. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 1.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1924 and 4329?\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.96 - 6.2. Let v = 4.24 + t. What is the fourth smallest value in v, -2\/75, -2, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261553*p + 3315315 = -261548*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**6\/420 - 17*v**5\/105 - 80*v**4\/21 - 512*v**3\/21 - 1132*v**2. Factor q(b).\nAnswer: -2*(b + 2)*(b + 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1122*l*v**3*y**2 - 4*l*v**3 + 4*l*v - 18*l*y - 2*y**2 wrt y.\nAnswer: -2244*l*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w**2. Let l(r) = -209*r**2 + 108*r**2 + 100*r**2. Calculate l(k(m)).\nAnswer: -196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2576, -5156, -7738, -10322, -12908, -15496?\nAnswer: -18086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10895.\nAnswer: 5, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30739817.\nAnswer: 31, 991607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2186*j - 1766281. Give s(-808).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/27846*-102*-7*(-1)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429257?\nAnswer: 31, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 144, 376, 722, 1194, 1804?\n\"Answer: 2*z**3 + 39*z**2 - z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -20. Let r(m) = 2*m + m**3 - m + 0*m - u*m**2 + 3 - 1. Let j be r(2). Solve -j*f = -f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1706 divided by 400.\nAnswer: 853\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 9. Let g be y(-2). Suppose -2*k - g = -1. Which is smaller: -1\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/6 + g. Let o(v) = -13*v + 1. Let r(c) = 100*c - 6. Let u(f) = -6*o(f) - r(f). What is u(i(w))?\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -949 - -2780\/3. Find the common denominator of v and 1\/4 - (-4 + (-4795)\/(-1100)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -9*r**5\/20 - 31*r**4\/4 + 40*r**3 - 7*r**2 + 10. Suppose o(l) = 0. Calculate l.\nAnswer: -8, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxuu when four letters picked without replacement from {u: 2, s: 3, x: 5, o: 1, j: 1}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 4*x + 156. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1701.1 + -1288.1. What is the second smallest value in 0, 5, -4, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stcscsscrs. Give prob of sequence ct.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -2641, -2, -265 in increasing order.\nAnswer: -2641, -265, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = -72. Let d be (-8)\/a - (-65100002)\/(-7). What is d rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u + 0 - 1 - 5*u + 6. Suppose 496*z - 1 = c + 491*z, -c = -4*z. What is w(c)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -8 - (-5 + 4)) + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p. Let i(j) = 3*j - 2 - 3*j**3 + p*j**2 + j**3 - 4*j**2 + 4*j**3. Calculate i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69824 - -2?\nAnswer: 69826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 1588590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 77 = -291. Suppose w = 8*j - 100. Let m = 18 - -25. What is the remainder when m is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*2*sqrt(76))\/(sqrt(4) - sqrt(12)\/sqrt(3)*-2 - sqrt(4) - sqrt(4) - (2*sqrt(256) - sqrt(256))).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 + -1226. Round p to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**3 - 30*u**3 + 9*u**3 + (-2 + 3 + 1)*(6*u**3 - 3*u**3 - u**3) - 479*u**3 - 169*u**3 - 80*u**3 in the form z*u**3 + x*u**2 + f*u + v and give z.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 3 + 3)*((4*i - 4*i - i)*(5 - 2 + 0) + 15 + 5*i - 15) as h*i + w + d*i**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31341 + 156707\/5. Which is bigger: 439 or n?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:08 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(4482\/(-913))*12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 - -18.2. Let o = b + -16.024. Round o to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23 and 186.\nAnswer: -42.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*m + 137072 = 180*m. Let n = -6919 - m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1186? (a) -13 (b) 89 (c) -2 (d) 0.3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*c**2*v - 2*a*c**2 + 19*a*v - 3*a + 453457*c**2*v - 4583*v with respect to c.\nAnswer: -4*a*c*v - 4*a*c + 906914*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from gtqlhdd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22 + 17 - 9 - -8) + 357073*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2\/469, -5, 1676, -3, -38?\nAnswer: -2\/469","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -79. Let f(d) = d**2 + 2*d. Calculate f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1540, -2334, -3128, -3922, -4716?\n\"Answer: -794*g - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56974.\nAnswer: 2, 61, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**4 - 2477*q**3 + 8*q**2 + 7*q + 3458785 with respect to q.\nAnswer: 4*q**3 - 7431*q**2 + 16*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -625 + 626. Let b(j) = -14*j**2 - 2*j + 1. What is b(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.865 - 0.135. What is the biggest value in -21, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, 5, 2, 349, 460?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 - 2*x**2 + x**2 - 2 + 2 - 4*x**2 + (2*x + 0*x - 4*x)*(0 + 2*x + 0) + (4*x + 9*x + 5*x)*(x + 0*x - 2*x).\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944*f - 708176 = 11702*f for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -0.4, 4, -17.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 178\/(-14) - 6\/21. Let r = 12 + n. Let i = 0.5 + -4.5. What is the biggest value in r, -5, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 68 + 38 + 49*g**2 + 15 - 47*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5758603 to the power of 1\/2, to the nearest integer?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-44)\/1089 + (-133984)\/1056?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15405 and 16298885?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34642 divided by 17321.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u - 48 = 0. Calculate the smallest common multiple of 3 and (u\/32)\/((-1)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14458 (base 11) to base 12\nAnswer: ba54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.27 (b) -1\/3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222, 911, 2060, 3669, 5738, 8267, 11256?\n\"Answer: 230*o**2 - o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*p**3\/3 - 493*p**2\/3 - 80*p - 12.\nAnswer: -(p + 1)*(17*p + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*t + 8, -2*a - t - 4*t = 10. Let v(x) = -x + 4. Let h be v(2). Solve -3*p + h*p - 5 = a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4167?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98908 - 98907.6. Let s = 31\/8 + -249\/56. Sort z, 2\/11, s in descending order.\nAnswer: z, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 557475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4)*3*24. Let o = -3 - c. Solve 4*t = -t - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59272 divided by 8.\nAnswer: -7409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4032 + 4024 = 2*u - 2*v, 2*v - 8 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + -5*(1 + sqrt(288) + 4 - ((sqrt(288) + 1 - sqrt(288)) + -4))*-1)*-6)**2.\nAnswer: 5443200*sqrt(2) + 10918800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-27)\/45)\/3)\/((-2)\/50). Suppose 4*f = -v*p - 0*p + 180, -2*f = 2*p - 74. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**8\/168 - 2*j**7\/21 - 2*j**6\/5 - 11*j**5\/15 - 7*j**4\/12 + j**2 + 23*j. Factor l(k).\nAnswer: -2*k*(k + 1)**3*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -567, -842, -1115, -1386?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 = 4*m - q, 0 = 2*m - 5*q + 17. Let c(o) be the second derivative of -7*o + 0 - m*o**2 + 4\/3*o**3. What is the first derivative of c(v) wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.24, 0.2, 33707?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:18 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 9:04 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m - 30. What is the remainder when (-1)\/((-5)\/(-1315)*-1) is divided by x(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -116 and 3226.\nAnswer: -374216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = 2*h, 6*h = -z + 2*h - 14. Let k be (-2)\/4 + 3\/z. Let q = 106 + -317\/3. Which is the closest to q? (a) k (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10337 - -12370. Calculate the remainder when j is divided by 336.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4615\/47, 0.1, -1.5?\nAnswer: -4615\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020200121 - -1020210?\nAnswer: 2021221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(9)\/(3*sqrt(3)) - sqrt(3)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v - 2. Let h = 9 - 8. Let c be (8\/6)\/(h\/(-3)). Let b = -6 - c. Determine a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 15, 2, -1381.\nAnswer: -1381, -62, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 4. Let n = -1 + 1. What is the units digit of w(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -626*w + 1 + 634*w + 43. Let i be l(-5). Solve -18 = -i*m - 3*q, -5*q + 13 = 3*m - 3*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -727\/5 + 146. Suppose 7*j = -21 - 28. Let x be (4\/(-14))\/((-37)\/j + -4). Put -0.5, x, q, 5 in descending order.\nAnswer: 5, q, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from kehedhfoo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95362877 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*p**5 + 66*p**5 - 145*p**5 + (-4 + 4 - 3*p)*(-6*p**4 - 9*p**4 - 10*p**4).\nAnswer: 25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 248, 349, 426, 473, 484, 453?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -5*a**4\/24 + 2*a**3\/3 - 2007*a**2. Let i be 0 + 3\/(6\/(-4)). Let k(j) = -15*j + 13. Calculate i*k(s) + 7*c(s).\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1430 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -7. Let t(r) be the first derivative of 0*r**3 + 0*r - r**6 + 0*r**2 + 4\/5*r**5 + 1\/2*r**4 - b. Let t(n) = 0. Calculate n.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*g - 5*g. Let y(i) = 4*i + 84. Let b be y(-18). Suppose 8*r = 14*r - b. Solve -5*q = -4*k + r, g*q + 6 = -0*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3411900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {l: 1, x: 2, e: 1, k: 2, t: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 5*r - 3. Let n be p(4). Let m be (-9 - 0\/n)\/(18\/(-54)). Let y = -19 + m. Calculate the smallest common multiple of 15 and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d + 84 = 84*d. Do d and -797 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253062 (base 9) to base 7\nAnswer: 1205330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 44*f - 6. Let p be ((-21)\/14)\/(3\/(-30)). Let n be o(p). What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 281745900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(567) - (-1 + -1 + sqrt(567)) - (sqrt(567)*-1 + -1)) + 5)**2)*5 + -3.\nAnswer: 720*sqrt(7) + 3167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = -104. Let s = q + 27. Calculate the least common multiple of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -29. What is the lowest common multiple of 36\/8*2 - 1 and (-1)\/(1\/p) - 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qbqqqqqbqqqqqbbqqqb.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -623471 equal to -623477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6042?\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 3*u**5\/20 + u**4\/6 - 7*u**3\/6 + u**2 - 18*u. List the prime factors of d(4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + (sqrt(153) - 1*sqrt(153)))*-2 + sqrt(153))*4*-4)\/(5*(sqrt(1323)*-1)\/sqrt(3)).\nAnswer: -16*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 - 86*h - 835. Determine l(-8).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 8 - -12) + (1 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-3 + 2*f + 3)*(-6 + 0 + 0) as u + s*f and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 2, j: 8}. What is prob of sequence jhhi?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v**5 + 1992*v**4 - 58922*v**3 + 542620*v**2 - 342400*v + 56000 = 0. Calculate v.\nAnswer: 1\/3, 20, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 176, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/503496 and -49\/14652.\nAnswer: 5538456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -56.99989. What is p rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {g: 1, u: 3, v: 5, j: 1, w: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -35. Which is smaller: z or -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188a7 (base 12) to base 8.\nAnswer: 105777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 11*z + 5. Let r(u) = 2*u**2 - 24*u - 11. Let g(w) = 7*h(w) + 3*r(w). Let n(l) = -l. Determine g(f) + 5*n(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 27a5?\nAnswer: 27aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*m - 98 + 22, -5*m = 2*o + 69. Let q = o - -25. Suppose q*r - 6*r = -9. Is r equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 10*m**2 + 26*m - 34. Is n(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 97.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 4*i**2 - i - 7. Suppose -2*g + 0*g = -18. Let a(k) = -k**3 + 8*k**2 + 10*k - 4. Let t be a(g). Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose 4*z - v*n - 9 = 6, -2*z + 4*n = -20. Suppose 3*o - 52 + 4 = z. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 484731?\nAnswer: 484731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)\/((((v\/v**(-15))\/v)\/v)\/v)*((v*v\/(v**12\/v))\/v)**(2\/29))**(-7\/10) assuming v is positive.\nAnswer: v**(217\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1*(3 + -1). Suppose -2*p = -l*r, -r + 3*p - 3 = 3. What is the derivative of -2 + 3 + x**r - 2 wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-380)\/244) + 3. Let d = 1276\/7 + -182. What is the second smallest value in g, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 + -1533?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 173237281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91069462?\nAnswer: 2, 11, 61, 79, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 787, 1151, 1463, 1705, 1859, 1907, 1831?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 0*b + 3*b + (b - 4*b + 2*b)*(3 + 1 - 3) - 4*b + 2*b + b + (4*b + 2*b - 5*b)*(4 - 4 + 1).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 smaller than -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 16 - 9. Let n be 8\/(-12) + h\/(-24). What is the biggest value in 2\/11, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304664 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32 + 4)\/3 - (0 + 2). Calculate the greatest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 2561*b**5\/20 + 712*b**4\/3 + 1852*b. What is the third derivative of t(y) wrt y?\nAnswer: 15366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.05 (c) 82050\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. What is the third derivative of 2*z**4 + 12*z**l + 12*z**6 - 2*z**4 - 30*z**6 wrt z?\nAnswer: -2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7\/5)*h)\/h)\/(h\/(h**(-1\/21)\/h*h)) assuming h is positive.\nAnswer: h**(-152\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -5410?\nAnswer: -5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 550227, 550196, 550137, 550050, 549935?\n\"Answer: -14*j**2 + 11*j + 550230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*n**3 + 130*f*n**2 - 333*f wrt n.\nAnswer: -3*f*n**2 + 260*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/15 - 1085\/(-15). Let h(x) = x + 3. Let i be h(6). What is the highest common divisor of z and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Let t be (-2)\/(v + (-2)\/(-5)). Let g = 9 + t. Solve -g - 2 = 4*l - 2*i, 10 = -2*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15 - 12 + 32 + 6*v + 7*v**2 - v**3. Let n be ((-7)\/4)\/(2\/(-8)). Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.064 (b) 0.01 (c) 40\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let m(j) = 6*j - 8. Let l(u) = -10*d(u) + 2*m(u). Let f be l(-6). Let t = f + 25. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-20))\/((-5)\/((-10)\/(-4)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/20 + c**4\/4 - c**3\/3 - 2*c**2 - 4*c. Let t be o(-3). Suppose 8 = -6*g + t*g, -y + 68 = -5*g. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w - 3. Let m be i(-3). Solve 3 = -2*h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 51*m - 53*m - 10, 2*u - 5*m = 63 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-3080)\/(-32))\/(-7))\/((-5)\/(-4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -h - 3*a, 0 = -h - 2*h + 2*a + 19. Differentiate -n**2 - 3 - h*n**2 - 2 with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3022 and 14.\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 11) to base 14.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(1\/18). Suppose -z = -4*n + 14, -5*v + 295 = -4*n. Suppose -5*h + v = x - 41, -5*x - 5 = 0. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(1088) + 3 + sqrt(1088))**2 - ((sqrt(68) + (sqrt(68) + 1*sqrt(68))*-4)\/(sqrt(4)*-1*4))**2.\nAnswer: -1409\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-76)\/95)\/((-1)\/((-10)\/(-2))). Suppose -10610 = -6*q - p*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 47*k**2 - 5*k - 341. What are the prime factors of x(-15)?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 22, -2, 2, -47.\nAnswer: -47, -2, 2, 5, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List 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 square root of 30432 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*q + 39 = 1131 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(67545\/10507)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = a - 15, 4*a - 2*x + 16 = 6. Solve 4*h + 2*t + 26 = 7*t, a = -2*t + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11571 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37146143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378670040 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17301, -28449, -39597, -50745, -61893, -73041?\n\"Answer: -11148*k - 6153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -39 and -6573\/169 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -125?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3363097 rounded to four decimal places?\nAnswer: -0.3363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7025 > 6938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19ca54 + -1?\nAnswer: 19ca53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120 - 55) + -92 - (-21 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 85 = -7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 23*s = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1210*z**2 - 677 wrt z.\nAnswer: 2420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*(7\/2 - 4). Solve -r*w + w = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(200) + -2*sqrt(200)*5 + sqrt(200) + sqrt(200)) + (2 + sqrt(200) + 1 - sqrt(200)) + (sqrt(200) - (sqrt(200) + -1*sqrt(200)))*2)*-6)**2.\nAnswer: 49680*sqrt(2) + 3809124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -1\/7 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 138 - 59)*(3*r - 3*r + 2*r + (3 - r - 3)*(1 + 1 - 3) - 3*r + 2*r + 2*r).\nAnswer: -704*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = 32. Let u = f + 22. Let c be (-4)\/12*-10*u. Which is smaller: c or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*m - m + 4*m)*(1 - 3 + 0) - 3*m - 1 + 1 - 8 - 4*m + 3*m + 0*m)*(7*m**3 + 9*m**3 - 17*m**3) as s*m**3 + p + b*m**2 + d*m + v*m**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 - 62*s**2 + 1177*s\/2 - 1330.\nAnswer: -(s - 5)*(s - 4)*(s + 133)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31262492753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**18)\/(x\/(x**(-12)\/x))*(x**8*x)**(-17) assuming x is positive.\nAnswer: x**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/4 + o**3\/2 + o**2\/4 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3224)\/(-3472)*(180\/(-52))\/(-9)\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 - -0.07. Let y = a - 2.2. Let w = 5054 - 5052. Sort w, -2\/5, 0.3, y.\nAnswer: y, -2\/5, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38204 is divided by 154.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -375*a - 29. Let y(h) = -188*h - 15. Let p(n) = 3*q(n) - 5*y(n). Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-40) - (8 - 1656\/80).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -1.9, -101, 4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) + sqrt(40))*1 + (sqrt(15) + sqrt(60)*-4)\/sqrt(3).\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.351*-0.1\nAnswer: -0.2351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbkkkkbkkb. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 76*h - 23 = -193 - 140, 18 = 5*d + 2*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*i - 65, 0 = r + i - 5. Let z be r - (-8)\/2 - -1. Is (-4)\/14 + 6542\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/((sqrt(22)*-3)\/sqrt(11)))\/((6*sqrt(120))\/sqrt(3)).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 23*o**2 + 158*o - 108. Let i(v) = -48*v**2 - 316*v + 234. Give 6*i(a) + 13*x(a).\nAnswer: 11*a**2 + 158*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42711.772 - -42452. Let y = x + 259. What is y rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*p - 540 = 0, p = -0 - 3. Let g = -180 - b. Round g to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 8*c + 47 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s*s**5*s*s*s**(2\/11)*s\/(s*s**(-1)))\/((s*s*s**2)\/s*(s**(-1\/5)*s)\/s)**(-1\/19) assuming s is positive.\nAnswer: s**(18109\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 + x + 2. Let o be 6 + 4 + -7 + 3. Let u be o + (-7)\/((-7)\/4). Let z be 2\/(-5) - (-24)\/u. Determine j(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*r - 4*x + 17, 0 = -3*r - 3*x + 15. Suppose -r*p + 4*p - 12 = 0. Let u = 24 - p. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -4068711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(104) - sqrt(26)) + sqrt(234)*-1)*-2)\/(((2*sqrt(200) + sqrt(200) + sqrt(200))\/sqrt(4) - sqrt(50) - sqrt(50))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 462955981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v + g, 8 = 4*v + 2*g + 2. Solve 0*z - 3 = v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16038999 rounded to five dps?\nAnswer: 0.16039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v**2. Let f be o(5). Let m(p) = -p**3 - 10*p**2 - 13*p - 16. Let k be m(-9). Calculate the highest common factor of k and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = y + 4*o - o, 3*y - o = 4. Suppose -5*k - 48 = 2*d - 0*d, -4*d + 2*k - 96 = y. Let f be (-12)\/(-8)*(-2)\/d. Sort f, -0.5, 3 in decreasing order.\nAnswer: 3, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/15 (b) -473 (c) -0.3 (d) -3\/4 (e) 5 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -450500 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46, 1.8, 0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -18 + (-47 - (98 + -129))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -175000 rounded to the nearest 1000?\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3. Let j(c) = -5*c**3 + c**2. Suppose -3*h + 12 = -3*u, 719*h = 717*h + 4*u + 18. Give h*j(m) - 2*o(m).\nAnswer: 7*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82077519*a**4 - a + 38241310 wrt a.\nAnswer: -984930228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046833248 to 4 dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -113, -170?\n\"Answer: -57*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5088.177 + -5091. Let y = d - 0.127. What is y rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 5 - 3*y**2 - 3*y**3 + 0*y**3 in the form t*y**3 + p*y + s*y**2 + k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 + r. Let n(j) = 2*j**3 + 3*j**2 + 4*j - 2. Let g(q) = -4*h(q) + n(q). Give g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 560 + -557.71. Let q = n - 2.29. Let k = 279\/2 - 142. Is q equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/13)\/w)\/w)\/(w*w\/((w*w**(-1\/4)\/w)\/w)))**17 assuming w is positive.\nAnswer: w**(-3825\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 7:27 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u + 16. Let b(m) be the third derivative of -m**5\/60 + 7*m**4\/24 + m**3 - 265*m**2 - 30*m. Give b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*k = -294*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/8 and 105\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iya when three letters picked without replacement from aavwaiygaiyyyv?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 1020284*g + 1020286.\nAnswer: -2*(g - 1)*(g + 510143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 32\/3951 in decreasing order.\nAnswer: 7, 2, 32\/3951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 364 (base 13) to base 3\nAnswer: 210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(833) + -3 + -4)*5.\nAnswer: -33 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4655, -2889, 1907, 11251, 26661, 49655, 81751?\n\"Answer: 253*f**3 - 3*f**2 + 4*f - 4909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 - 2*w + 7. Let k be h(-5). What is k rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 10820.\nAnswer: 10820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*t + 3 - 10*t - 1)*(-4*t + 3*t + 5*t) to u*t + g + c*t**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -27. Let t = 16 - h. What is the third derivative of 28*v**2 - 14*v**2 - 10*v**2 - 21*v**t wrt v?\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 205813446.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/12077 and 99\/52?\nAnswer: 48308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 450, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1887)\/(-13) - 0 - 8\/52 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*q + 133*q**4 - 152*q + 301*q + (2*q - 5*q + 4*q)*(-q**3 - 2*q**3 + 2*q**3) + 2*q**4 - 2*q**4 - 2*q**4.\nAnswer: 130*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.94 + 0.64. Let l be ((-1)\/2)\/((-10)\/8). Is v at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 78919*p + 78919*p - 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/5)\/a))\/(a\/a**(-2\/9))*(a*a*a**5\/a*a)\/a**(-2\/13))**(-11) assuming a is positive.\nAnswer: a**(-52327\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152\/3 - 50. Let t(r) = -r**3 - 7*r**2 - 12*r - 8. Let q be t(-5). Which is the closest to q? (a) -2\/15 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7ca + -1c82?\nAnswer: -277c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14020461 divided by 51?\nAnswer: 274911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -44\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78660 or 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9, l: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Suppose 4*k - 15 = -w, 3*k - w - 4 - 9 = 0. Solve p*o + q - 5 = 0, 0*q - 2*q = -k*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425 - j + 2*j + 1425.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - ((sqrt(13) - (sqrt(13)*-4 + -5)) + sqrt(13))**2 - ((-2*sqrt(104) + sqrt(104))\/sqrt(8))**2).\nAnswer: 59*sqrt(13) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0901, -6\/19, -5?\nAnswer: 0.0901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + -70 + 114 + -13?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 399*q**3 + 2*q**2 - 162?\nAnswer: 1197*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 4216?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 2*s + 6, -7*r + 8*r + 5*s - 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38379952 and -5.\nAnswer: 38379947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 77251?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + -55. Calculate the common denominator of 125\/12 and 3\/z*-74 - -1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20616816 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1038241 and 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-20)\/s)\/s**(-4) assuming s is positive.\nAnswer: s**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 - -24.998?\nAnswer: 273.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*x - 1556 = -360*x + 1364 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - (-12 - -24 - 11) - (1 - 26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195570 and 1350.\nAnswer: 2933550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, 1, -2, 5.\nAnswer: -201, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/3300 and 73\/6300.\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5096 + 185. Let d = o + -3332. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (24 - (-22 - -65)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/7)\/u*u**(-10)\/u assuming u is positive.\nAnswer: u**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.58234857 + 0.36766133. Let s = -1.95 + g. Round s to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 1. Let t(j) = -j**2 - 7*j + 12. Let a be t(-9). Let g = q + a. What is the greatest common factor of g and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 13*x - 13 - 13)*(-543 + 300 + 279).\nAnswer: -468*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134519, 269028, 403589, 538202, 672867?\n\"Answer: 26*x**2 + 134431*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8214187799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -7.99. Let c = -12 + h. What is the second smallest value in 3, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/5)*u)**10 assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 11. Let v be i(2). What is the second smallest value in 0.3, 1\/3, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t. Let j(i) = 4*i - 6. Let q be j(5). Let y be 1242\/42 + (-8)\/q. Let z(l) = -29*l + y*l + 6*l**2. Calculate f(z(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2026, -4041, -6042, -8023, -9978, -11901, -13786?\nAnswer: -15627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 631399, 631398, 631395, 631390, 631383, 631374?\n\"Answer: -m**2 + 2*m + 631398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Let y = -6.97 + -0.03. Let z = y - -11. Which is the nearest to v? (a) z (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - 8*y**4 + y**4)*(4*y + 8*y - 1 - 11*y).\nAnswer: -7*y**5 + 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/761 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 49*w + 3772. Let y be c(-76). Suppose -s - l = -2*l - 7, 29 = 3*s - 5*l. Calculate the greatest common divisor of y and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-4*3)**2 + (-1*sqrt(117))\/sqrt(9) + sqrt(13) + (-3 + sqrt(52)\/sqrt(4))**2)*6.\nAnswer: -36*sqrt(13) + 404484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 12:41 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(143)*2)\/(sqrt(176)*4).\nAnswer: -sqrt(13)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8543 + 8542. Is f greater than -2445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20393, -20394, -20395?\n\"Answer: -g - 20392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2114 + -13.\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48411 divided by -3.\nAnswer: -16137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1319 + -1307. Solve -6*n + m = -10*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 66, 75, 86?\n\"Answer: c**2 + 4*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-4 + 0) - (-4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 203 (c) -3 (d) 0.279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummmggie. Give prob of picking 1 e and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19191 (base 13) to base 5\nAnswer: 3023441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/29 (b) -0.5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43642c - 2?\nAnswer: -43642e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1454*i**4*q**2 - 3791*i**2*q**3 + 23008*i*q**3 + 323*i*q wrt i?\nAnswer: 17448*i**2*q**2 - 7582*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkiizibkyzilbkiki. What is prob of sequence ikb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17752 - 8798. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 3*j + 3. Let m be u(3). Suppose -2*i + 4 = -m*i. Suppose 4*o - o - 14 = 5*v, -o + 10 = -3*v. What is the nearest to 0.1 in o, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 22*k - 86. What is o(-26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:36 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = o + 6*z + 20, -8 = 5*o + 2*z. What is the smallest common multiple of o - -19 - (0 - 1) and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011110000001101 + 1001001?\nAnswer: 1000011110001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -8 - 2) + -9 - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 2:42 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s**2 + 5*s + 5. Let m(c) be the third derivative of c**5\/4 + c**4\/6 + 2*c**3\/3 - 19*c**2 - 5*c. What is 5*m(i) - 4*z(i)?\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 1. Let x(p) = -4*p + 25. Let s be x(5). Suppose u + s*o = -4 + 12, 4*u = 4*o + 8. Let y = 3 - 4. Let z(j) = 1. Determine u*z(b) + y*k(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d + 80*d + 4 = 4*f, -6*f - 8 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11136 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*(w*w**(7\/4))\/w*w*w)\/((w\/(w\/w**12)*w)\/w))\/((w**(-10)\/w)\/(w\/(w*w**2*w))))**(-2\/55) assuming w is positive.\nAnswer: w**(-7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1650*a**3 + 43*a**2 + 35*a + 13. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -694 - -701. What is the nearest to 2\/9 in n, 0.1, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/6 - 5*b**4\/12 - 11*b**3\/6 + 6*b**2 - 3. Let q(l) = 2*l**2 - 2*l - 2. What is -11*q(n) + 2*t(n)?\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(2736))**2.\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -116. Let r be (-34)\/(-136) + (-714)\/z. Let w = -84 - r. Solve 0*l = -l + w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865156 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/(y\/((y*y*(y**(-3\/4)\/y)\/y)\/y)*y))\/(y**(-7)*y*y**3)*((y*y**1)\/y)\/y**(-1)*(y\/(y*y*y*y**(2\/13)*y))\/(y\/y**(-1)) assuming y is positive.\nAnswer: y**(-307\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -39. Let m = -16 - x. Suppose 5*j = -4*q + 446, -4*j - m*q = q - 357. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**2 + 1\/12*m**4 + 1\/3*m**3 + 0 - 1\/10*m**5 + 5*m. List the prime factors of i(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 1.96. Let b = 35 - 36.76. Let n = q - b. What is n rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + y**2 + y + 1. Let x = 592 - 411. Suppose x*s - 8 = 185*s. What is u(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((-7)\/21 - 4\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**34\/(n**(2\/21)*n))\/((n**(8\/3)\/n)\/(n\/(n**(1\/36)\/n))) assuming n is positive.\nAnswer: n**(8369\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/((-1)\/(-2)*-8). Let j(u) = -u**2 + 6*u + 6. Let f(t) = -t**2 + 6*t + 7. Give n*j(d) - 4*f(d).\nAnswer: -d**2 + 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -33, -149, -387, -789, -1397, -2253?\nAnswer: -3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u - 3. Let i be 1*(0 + -1 + 8). Let j(c) = 3*c - 1. What is i*j(l) - 2*p(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000104520345 to seven dps.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456 - 456 + 8*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1111221?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 280?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143116891?\nAnswer: 67, 109, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 7666200?\nAnswer: 7666200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifpffiiiiffifiifd. Give prob of picking 3 f and 1 p.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1\/8 (c) -0.07 (d) -0.4 (e) 1\/211 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3305230 (base 7) in base 6?\nAnswer: -12403534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 1. Let r be m(6). Let i(y) = -y**2 - 2*y. Let v be i(-1). Suppose 0 = -2*s - 2*p - 14, 2*s - v = 4*p + 15. Sort s, r, -1, -3 in ascending order.\nAnswer: -3, s, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4 - 32*z**3 - 28*z**2 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 + 3*q**3)*(q - 3*q + 3*q)*(0*q + 50 - 44 + 2*q).\nAnswer: 6*q**5 + 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -193, 3494 in increasing order.\nAnswer: -193, -0.6, 3494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15814.15 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/3 - 52*k**2\/3 + 250*k\/3 - 200\/3 = 0 for k.\nAnswer: 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 6) to base 15.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (3 + 4)\/(-1). Let k(r) be the first derivative of 2\/3*r**3 - x - 3\/2*r**2 - 4*r + 1\/4*r**4. Calculate k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6616.598 + 0.093167?\nAnswer: 6616.691167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let x be (697 + y)\/(-3) + -1. Let n = -154 - x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (0 + sqrt(1573))**2 - sqrt(26)\/sqrt(50) - (sqrt(1872) + -4 + sqrt(1872) + 0)**2.\nAnswer: -5931 + 964*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-38 - -17) + (-3 + 2 - 5) - -121?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/401 and -40\/7.\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 5}. Give prob of sequence ggp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:39 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7267.79912 + 7269. Let p = o + -1.2. What is p rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let q be h(-3). Let g = -16463 + 16462. Sort g, 0, 8, q in ascending order.\nAnswer: g, 0, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83168 divided by 20792?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 12*j**2 - 2*j + 26. Let b be x(12). Let k be 5 + 1\/((-1)\/6). Sort b, 28, k in ascending order.\nAnswer: k, b, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 - 79*p**2 + 1975*p - 39. Calculate y(-42).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9533.445 - 9534.74499944. Let z = -0.35 + 1.65. Let l = z + q. Round l to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1260*l*v*w + 7*v*w - 4*v - 30*w wrt l?\nAnswer: -1260*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let y(i) = -22*i + 2. Let z(v) = 2*w(v) + y(v). Is z(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*g**3 - 4 - 5*g**2 - 47*g**3 + 9*g + 6 + 87*g**3 to the form c*g + v*g**2 + y*g**3 + q and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 8*g + 2. Let z be l(-8). Which is the third biggest value? (a) -5 (b) 0.02 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 30610, 11335.\nAnswer: 0.2, 11335, 30610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 51.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282770509 to the power of 1\/2, to the nearest integer?\nAnswer: 47778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/3, 1\/4, 0.6, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.983 + 28. Let v = l - 0.317. What is the fourth biggest value in -0.2, v, 5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 664 - 356. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 18. What is w(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2449 = 15*n + 859. Let w = 39 + -15. Calculate the remainder when n is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 574 + 556 = 0. Let h = 63 + b. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + (-8)\/(-32). Suppose f = 4*t - 2*t - 18. Solve -2*j - t - 1 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 940 = 0. Suppose p + 104 = -2*p + 2*c, -5*p - 4*c = z. Let w be 11\/((-44)\/16) + -30 + -1. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4\/575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**3 - 95*i**2 + 142*i - 167. Calculate o(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/12)*c)\/c*c)**(34\/5)\/((c\/(c\/c**(4\/11)))\/c**(-4)) assuming c is positive.\nAnswer: c**(2861\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 134 (c) -0.4 (d) 0.2 (e) 0.105 (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 7*a**2 + 6*a**2 + 2 - 10*a**4 + a**3 as b + j*a**3 + g*a + z*a**2 + q*a**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*4*-1)\/(sqrt(432)*4 + sqrt(12)) - (0 + -6*(4 + -2 + sqrt(1216) - sqrt(1216)))**2.\nAnswer: -144 - 4*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = s - 392, -1408 = -5*b + 5*s + 512. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*m*p*x**2 + 12*a*m*p*x - 2*a*m*p + 3*a*m - 2*m*x**2 + m - 6*p wrt x.\nAnswer: 2*a*m*p*x + 12*a*m*p - 4*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9646107 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -422 + 1125. What is the greatest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/3*c + 1\/3*c**4 + 1\/3*c**3 - 10\/3 - 5*c**2.\nAnswer: (c - 2)*(c - 1)**2*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4) + -9*7\/(-28). Suppose 5*f - 63 = 2*f. Suppose 5*d + s + 3 = -6, 0 = -d - 5*s - f. Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 8 + 32 = 0. Let z(y) = -3*y - 1. Let s(b) = 3*b + 1. Let q(h) = -8*h + 5*h + 4 - 5. Let t(u) = 5*q(u) + 6*s(u). Give k*t(o) + 4*z(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h + 6. Let d(u) be the second derivative of 5*u**3\/3 - 12*u**2 - 2*u. Let t(a) = -2*a + 5. Give h*d(i) - 14*t(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366.044 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c. Let t(q) be the first derivative of q**2\/2 + 1. Let b(k) = r(k) + 12*t(k). Let u(g) = 5*g**2. Give u(b(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.7229883 to 1 dp.\nAnswer: 122.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18 and -3 + 1\/((-96)\/(-856)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 14.67.\nAnswer: -1.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1\/30 (c) -4 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 + 1. Let q be c(4). Let a = -13 - -27\/2. What is the nearest to -3 in q, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*k - 144*k = 15. Sort k, 2\/7, -0.31 in decreasing order.\nAnswer: 2\/7, -0.31, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 14*f + 125. Let s be b(-5). Let n(g) = -g**3 + 7*g**2 - 7*g - 2. Determine n(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/8)*(y**(5\/3)\/y)\/y*y)\/(y**(-9)*y\/(y*y\/(y*y\/(y\/y**14)))))**38 assuming y is positive.\nAnswer: y**(-1805\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207243.4 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4257 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384*o**2 - 536*o**2 - 13 - 10 + 23)*(0*o - 2*o + o).\nAnswer: 920*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/1)\/(-4 + 2). Let u(w) be the third derivative of -3*w**4\/8 - 3*w**2 + 21. Calculate u(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3796561 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 59. Let v(l) = -1 - l + q*l**2 - 9*l**2 + 1. Let j be v(-1). Calculate the greatest common divisor of j and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-2 - 0 - -1). Suppose -3*p + v = -2. Find the first derivative of 5*k**2 + 2 - p*k**2 + 0*k**2 + 3*k**2 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518776975 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159577843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f**2 - 33*f + 33. Let j(i) = i**2 - 2*i + 2. Let w(x) = -2*x. Let z be w(1). Calculate z*k(r) + 33*j(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6018 + -18052\/3. Which is the fourth biggest value? (a) u (b) -3\/5 (c) -4 (d) -2\/5 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22875 is divided by 84?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezh when three letters picked without replacement from hzzpehghpzehphe.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/15*((-70)\/(-3325)*-19)\/(26\/15)?\nAnswer: -40\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13694, -9959, -6224?\nAnswer: -2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 60 = -46*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.4, -0.5624, -123?\nAnswer: -0.5624","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4947*d**3 - 21*d - 7. Let u(r) = 1649*r**3 - 6*r - 2. Determine -2*l(p) + 7*u(p).\nAnswer: 1649*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**5 + 25*q**4 + q**3 + 5*q**2 + 17*q. Let f(n) = 2*n**5 + 7*n**4 + n**2 + 5*n. Let h(k) = -22*f(k) + 6*z(k). Find p, given that h(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 6*f + 6*f**2 - 6*f - 76*f**3 - 3*f**2.\nAnswer: -76*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m*m*(m**6*m*m)\/m)**(33\/2) assuming m is positive.\nAnswer: m**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28622487\/115948 - 15\/16564. Suppose p = 6*p + 1230. Let u = a - p. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 14. Suppose 0 = -6*d + y + 24. Suppose -d*u = -66 - 44. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 11*d. Let x be q(-11). Let o(c) = c**2 - c + 268. Let p be o(x). What is the remainder when 65 is divided by 2\/8 + p\/16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96.1 - 96. Which is smaller: w or 27?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82032 - -16032. Round t to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 3*q + 2. Let n be r(-2). Let g(w) = w**3 - 4*w**2 + 3*w + 5. Let u be g(3). Solve -u*l = 20, -2*b + n*l - 10 = 2*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 114544 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: Is 12096639521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 5*i - 55. Let p(f) = -f + 13. Let s(b) = n(b) + 4*p(b). Let g = 2 - -3. What are the prime factors of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-82) - (-1445)\/205?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003055847 rounded to seven dps?\nAnswer: -0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -39.\nAnswer: 44\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(171)*1)\/(sqrt(72)\/sqrt(8)*1).\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*v - 317*v - 1427*v + 976*v - 2642*v.\nAnswer: -4626*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6*(0 + 3). Suppose -j = -2*g + k, j = -5*g - 2 + 8. Suppose -361*h + 585 + 477 = -7*h. Is g smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*q = 58 - 441, q = 3*u - 403. Calculate the highest common factor of 34 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31093 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30384 - 15126 = -47*t - 199*t. What is the highest common divisor of t and 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39*(1 - 2) + -2. Calculate the common denominator of -4 + 7 + m\/(-3) and -59\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**2\/h))**8*((h*h*h\/(h**(1\/3)*h))\/h)**0)\/(((h**(-1)*h)\/h**(-2\/7))\/(h**(2\/5)*h**(5\/6))) assuming h is positive.\nAnswer: h**(199\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139705 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -149281 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 1. Let s = -6 - -3. Let q be f(s). Calculate the highest common divisor of q and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/107, 48, 1, -0.1 in descending order.\nAnswer: 48, 1, -2\/107, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 - 325*v**4 + 90*v**2 + 86868*v + 1 wrt v.\nAnswer: 40*v**3 - 3900*v**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*r**3 - 49*r**4 + 33*r**4 - 3*r**2 - 5*r**2 + 4*r**5.\nAnswer: 4*r**2*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41739 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 2. Let a be j(-6). Suppose 2*p + a*d = 16 + 134, 0 = 5*p - d - 353. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5321, 10553, 15721, 20819, 25841, 30781, 35633, 40391?\n\"Answer: -i**3 - 26*i**2 + 5317*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.6367 - 0.0633. Let i = 490 + -541. Let o = s - i. Sort -0.1, 5, -2, o in ascending order.\nAnswer: -2, -0.1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 + 8*q**2 - q + 5. Let d = -32 + 35. Let h(t) = 2*t**3 - 3*t**2 - 2. Let v(k) = d*c(k) + 7*h(k). Factor v(f).\nAnswer: -(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 14963?\nAnswer: 96\/14963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -573 - -595. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) + (-47)\/(-7). Suppose -4*t + p*t = 33. Suppose 0 = 2*s + 3*s - 3*j - 51, -s - 4*j + 1 = 0. Calculate the least common multiple of t and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = 39*b + 92 - 259 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5*8\/(-100))\/(19\/133). Is r less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404280972564+7.6\nAnswer: -404280972556.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106264023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + l**3 - 2 + (-3*l**2 - 2*l**2 + 4*l**2)*(-6*l + l - 6*l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 3*l**5\/20 + 87*l**4\/4 - 117*l**3\/4 - 5186. Factor w(h).\nAnswer: 3*h**2*(h - 1)*(h + 117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -187*q**5\/10 - 271*q**3\/6 + 984*q**2. Differentiate b(u) with respect to u.\nAnswer: -2244*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261 - 265. Let p(m) = -m**2 + 3*m + 28. Let w be p(i). Solve w = -5*b + 8 - 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*((sqrt(242)*2)**2 + sqrt(242)) + 3*(-3 + (sqrt(242) - (sqrt(242) + 1))) + -1.\nAnswer: 176*sqrt(2) + 15475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4444634?\nAnswer: 2, 2222317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, b: 1, x: 8}. Give prob of picking 1 r and 1 b.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = b - 20, 20 = -b + 4*p. Solve 0 + 0*y - 2\/5*y**3 + b*y**2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1197 + 10750\/9. Calculate the common denominator of f and -73\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*b + 29975 = 0, -b - 3*b = 4*l - 59980. Suppose a - 4*a - l = 0. Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2 + 6. Let l be 336\/40 + 1 + 14\/(-10). Let s(i) = 5*i**2 + 2. Determine l*s(u) - 3*a(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/7 - 327*v**3 + 63858*v**2\/7 = 0 for v.\nAnswer: 0, 29, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/5, -7, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:03 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*a + 1)*(-3 + 4 - 2 + (2 + 2 - 2)*(-1 + 2 - 2) + 16 + 139 + 86) to h + w*a and give w.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2932.9188 months to millennia.\nAnswer: 0.2444099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose v = 2*m + c - 10, -c - 27 = -m + 4*c. Solve -2*s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/288)\/(12\/(-17)*(-5)\/(-45)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**3 - 2*z**2 - 5*z + 2. Let i be 1*(2 - 1)\/(-1) + -2. What is the tens digit of c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i*i\/(i\/(i*i**(-2\/7)\/i)*i))))\/((i*(i\/(i*i*i**(2\/29)*i))\/i)\/i))\/(i**0*i\/(i*i\/(i\/(i**0\/i))))*(i**(-3)*i**(1\/4))**(-2) assuming i is positive.\nAnswer: i**(3363\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296805 divided by -19787.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 1. Let r(d) = 8*d + 59. Let z be r(-5). Suppose 17*y - 10 = z*y. Calculate j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-1365)*8*15\/2.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0803651 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43652*z + 97 = 43653*z + 16*r, 2*r - 10 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 42*i**2 - 61*i - 20. Let f(j) = 23*j**2 - 31*j - 10. Let u(p) = 11*f(p) - 6*w(p). What is u(-25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12173*d**2*w**4 - 13*d**2*w**2 + 4*d**2 + 145*d*w**6 - 178*d*w**2 wrt w.\nAnswer: 292152*d**2*w + 17400*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5652*y + 40257 + 29220 = -167907 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 21*t - 4. Let m(j) = -189*j + 35. Let w = 4777 + -4742. What is w*z(l) + 4*m(l)?\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, 1, 4, 3, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.99 + 38. Sort 2\/9, -0.2, m.\nAnswer: -0.2, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 11*o + 16. Let g be -4 + 5 + -5 - -7. Let a be (g\/(-123))\/(1\/(-2)). Sort o, -4, a in descending order.\nAnswer: o, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1354267.62 to the nearest one hundred.\nAnswer: -1354300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.028 + 0.04. Let j = -0.017 - b. Round j to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyvtttttstysvttct. Give prob of picking 2 t and 1 s.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -79\nAnswer: -18\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 3049274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9687 - -9764. Solve r + 151 = -38*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/40*((-8)\/(-10) + (-18228)\/11160).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84555*t**3*x - 732*t**2 + 36*t*x wrt t?\nAnswer: -507330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -196137.9982 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3444 and 60.\nAnswer: -206640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -41*n - 2. Let a(i) = 81*i + 5. What is -4*a(x) - 9*h(x)?\nAnswer: 45*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 98*g + 4991. Let j be m(-37). Let h(i) = -i - 1. Let n be h(-3). Which is the closest to -0.2? (a) -0.5 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/((-2)\/(-35)). Solve -n = -2*o - 9, 5*n + g = -2*o - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281915, -282105, -282295, -282485, -282675, -282865?\nAnswer: -283055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-22)\/(2 + -3). Suppose -87*b + 85*b + 90 = 0. Let p = b - g. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2 - 41*m + 6. What are the prime factors of b(-13)?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o + 2*q, o - 3*q = 2*o - 12. Which is the third biggest value? (a) o (b) -6 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 22. Suppose -8 + m = f. Let t = 105 + -103. What is the closest to 8 in f, 2\/3, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41 and 18?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/20 and 19\/159496.\nAnswer: 797480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20164 = 4*l + 34552. Let c = l + 36889. What is c rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-177)\/(-21) + 4\/7. Suppose 0 = -t + 4*n + 22, 5*t - 7*n - 5 = -g*n. Determine q, given that -q**3 - 3*q**3 - 7*q**4 + q**4 + t*q**5 + 8*q**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-546)\/156)\/(2\/10*15\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1290)\/1650 - (32\/80 - 1)) + (-900)\/11\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1835.\nAnswer: -4\/1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211430 (base 6) to base 10.\nAnswer: 63882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01586 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9.907 times 0.163\nAnswer: -1.614841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1217*q**2 + 12 - 10*q**3 - 243*q**2 - 36*q + 36*q - 3*q**4 - 14 wrt q?\nAnswer: -72*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**8\/1680 + u**6\/180 + 7*u**4\/12 + 3*u. Let f(r) be the third derivative of h(r). Factor f(o).\nAnswer: -4*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*i + 3*i**3 + 32*i**2 + 61*i - 15*i - 5*i**3 + 66*i wrt i.\nAnswer: -12*i + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43\/48 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 - 832*t**4 + 2516*t**3 + 832*t**2 - 2514*t = 0. Calculate t.\nAnswer: -419, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 548 - 167. Let f = u + -262. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-10) - 4\/(-10). Let t(w) = -w**2 - 39*w + 886. Let u be t(-55). Suppose -5*n + u = -h. Which is the nearest to -0.1? (a) n (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.999983 - 25. What is u rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988577 is divided by 588?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231324 and 1776?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:51 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26 + 27)*-1*5923*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 x when four letters picked without replacement from {x: 13, g: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(175) + 1 + sqrt(175))*4*-2)**2*5.\nAnswer: 6400*sqrt(7) + 224320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 325 - -4?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 4*l + 12. What is r(10)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 + 1 - 9*q - 37*q**4 + 17*q + q**2 + 14*q + 12*q - 36*q in the form a*q**3 + r*q**4 + x*q + h*q**2 + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 27. Let m be q(13). What is the third derivative of 115*r**2 + m*r**4 + 5*r**4 - 109*r**2 wrt r?\nAnswer: 456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/((-6825)\/(-90)))\/(-6*(-11)\/(-7238))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 12*u**2 - 2*u - 3. Let p be t(-12). Let w(j) = -10*j - 1 + 11*j - p*j. Is w(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, 2, -49, 1 in increasing order.\nAnswer: -49, 1, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 13*s - 33 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675 - 633. Suppose -s = -3*o - 45. Let q(h) be the first derivative of -3*h**2\/2 + h - 1. Determine q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48*(-5)\/(-20) + 45308 + -3.\nAnswer: 45317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + -7)*2\/4. Suppose -2*j + h = 8. Let g(x) = x - 4. Let l be g(0). Put l, 1\/2, j in ascending order.\nAnswer: l, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -694*d + 1392. Calculate h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-7)\/(-35))*(-30)\/2016*-12\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7409, -8464, -11321, -16880, -26041?\nAnswer: -39704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let z be -1 + (2\/(-7) - 64\/(-28)). Let w(q) = 1 - z - 15*q + 6*q. Calculate w(g(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 14 = -2*z. Let y be ((-2)\/z)\/((-3)\/(-2)). Let j be ((-2)\/(-4))\/(4 + -2). Which is the second biggest value? (a) 3\/7 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3762*j**3 + 2487.\nAnswer: -11286*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b. Suppose -i + 3*m = b, 2*i - 2*m = m + 3. Suppose 0 = -2*n + i*n - 2. What is the smallest common multiple of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1304, -2604, -3904, -5204, -6504, -7804?\n\"Answer: -1300*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k + 3. Suppose -2*t + 4*t + 16 = 4*g, -5*g = 4*t - 33. Determine p(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-54))\/((-3)\/(9\/(-2)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 4 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/5 - 474*l**3\/5 - 3922*l**2\/5 + 474*l\/5 + 784 = 0 for l.\nAnswer: -8, -1, 1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366098 to the power of 1\/2, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3887 - 7268 + 3637)*(-3 - 3 + 5) + 2 - 6 + 1)*(-36 - 5*m**3 + 36).\nAnswer: 1295*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670, -682, -692, -688, -658?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3138742 by 1569371.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -9*h + 28. Suppose -f = h + 5. Let b be (-80)\/12*18\/f. Solve 0 + b = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:19 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 228404711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - -1*sqrt(2880) - 2*sqrt(2420))\/(-1*sqrt(360)*3))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2 and (-3)\/(2 - 108\/39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 + 258699576516?\nAnswer: 258699576298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ed92 (base 16) in base 13?\nAnswer: 6945a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j + 216. Suppose -n + j = n. What is the remainder when 105 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-54)\/1404)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201 - 133 - 417*d + 36 - 12*d wrt d?\nAnswer: -429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 1. Let m(o) = 25*o**2 - 8. Let z(c) = -8*a(c) - m(c). Let s(n) = -233*n**2 - 3*n. Give s(z(q)).\nAnswer: -233*q**4 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 200*c**2 + 140 wrt c.\nAnswer: 400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 8:19 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 28 = -3*c, -k + 20 = 3*c - 2*k. Suppose 3*y + 3*q = -18, y + 3*q - 10 = c*q. Let s(i) = -16*i**3 + i**2 - 1. List the prime factors of s(y).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 3*m - 3. Let z(p) = p**2 + 4*p - 4. Let u(f) = 3*k(f) - 2*z(f). Let d(y) = 7*y**2 + 4*y - 6. Suppose -24*c - 18 = -27*c. Give c*u(t) - d(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Let w be b(-1). Let i = 2 + w. Suppose -s + 18 = 2*q, 0 = 4*s - 2*q - i*q - 32. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4642 + 4643. Let v = -101537.24 + 101538.2400061. Let x = v - h. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4610.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-14) + -7)*(-23 - 32835\/(-1419))?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -901\/7 - -129. Let p(v) = 3*v. Let z(s) = -4*s + 1. Let x(d) = -5*p(d) - 4*z(d). Let a be x(5). Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**35*l\/(l**(-30)\/l))**5 assuming l is positive.\nAnswer: l**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a8 + -4?\nAnswer: -4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n - 2*n)*((-4 + 4 + n)*(2*n - n + 2*n) + 0*n**2 + n**2 - 2*n**2).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let y be n(-4). Suppose 594 = y*q - q. Suppose -q = -2*i - 2*v, i + 4*i + 4*v = 496. Calculate the greatest common factor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1006.1 - -14.509228.\nAnswer: -991.590772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 15. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -45, -66, -87?\n\"Answer: -21*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let a(u) = 24*u + 7. Calculate m(a(z)).\nAnswer: 24*z + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 46 + -15 - -49?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1016661, -1016601, -1016541, -1016481, -1016421, -1016361?\nAnswer: -1016301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424.7 + -416. What is the third smallest value in k, 2\/3, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25944, -26027, -26136, -26277, -26456?\n\"Answer: -k**3 - 7*k**2 - 55*k - 25881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**3 + 3*y**3 + 12 - 14 - 4*y + 2*y**4 to r*y + f + o*y**4 + v*y**3 + a*y**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3273214560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 30607983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676414.962 rounded to the nearest one thousand?\nAnswer: 5676000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*r**5 - r**3 + 2*r**2 + 5*r wrt r?\nAnswer: -7380*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3806 or -3804?\nAnswer: -3806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 7*q + 3*q + 2*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/60 + g**4\/2 + 10*g**3\/3 + 2*g**2 + 4. Factor h(a).\nAnswer: (a + 2)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -323*b**3\/3 + 3*b**2\/2 - 331*b - 185. Differentiate v(f) with respect to f.\nAnswer: -646*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/3, 116, 1\/7, 45?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 13*b - 14. Let v be h(-14). Suppose v = -2*j, -2*j - 16 = -4*m + j. Suppose 3*o = -5*u + 409, -3*u = m*o - 2*o - 246. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxojnzjy. Give prob of sequence zjn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-14))\/(-6*4\/(-2976)*-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -3*k - 3*q - 141, 3*q = -4*k + 123. What is the highest common factor of 231 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, d: 1, p: 6, w: 1, n: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(343) - sqrt(343)*-2).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/(27\/9) + -9. Put -5, 18, g, 1 in decreasing order.\nAnswer: 18, g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 + 11?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 0*p - p)*(10709 - 3888 + 5086)*(-p + 2*p + p) to b*p + n + q*p**2 and give q.\nAnswer: -23814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclllllllllllcllcl. Give prob of sequence ccl.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a factor of 44798131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/2 + 23937*n**2\/2 - 47877*n\/2 + 23939\/2 = 0. What is n?\nAnswer: -23939, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 divided by 25?\nAnswer: -131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1927*z = -1925*z + 5, 4*r + 20 = -7*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let n(p) be the first derivative of p**4\/6 + 2*p**2 - 2. Let q(y) be the second derivative of n(y). Calculate q(j(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 25 = -16*q + 13*q, 4*q = -5*t - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 22. Let g = -12 - -11.95. Sort g, -4, h in decreasing order.\nAnswer: h, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2434 - 1661. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40233 + 4?\nAnswer: 40242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 5, -4, 63 in increasing order.\nAnswer: -7, -4, 4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:01 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 185. Let q = b + -18.5. Sort -3, q, -0.6 in decreasing order.\nAnswer: q, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70bbc + -96?\nAnswer: 70b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -47 + 57 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290096861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26337979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -140, -165, -210, -281, -384, -525, -710?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -355, 189 in increasing order.\nAnswer: -355, 0, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + (-31)\/(-3). Suppose c = s + 3. Calculate the smallest common multiple of s and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(931) - (-2*1*sqrt(931) + sqrt(931))) + (sqrt(931) - ((-2 + sqrt(931))*-4)**2) + sqrt(931) + sqrt(931) + 1.\nAnswer: -14963 + 483*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.071602598 plus -87?\nAnswer: -80.928397402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Suppose 4*o = 20, -10 = a - o - j*o. Solve 2*p + 0*d - 12 = 5*d, a*d + 11 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from {f: 4, k: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1008\/(-88))\/(552\/(-2024))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1.46 (b) 0.4 (c) -39\/173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5*z**3\/3 - z**2\/2 + z + 4. Let a be o(1). Solve 0 = 5*n + 2*t, -13 = a*n - 2*t + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c. Let d(i) be the second derivative of 31*i**4\/6 + 1739*i. Calculate d(z(m)).\nAnswer: 3038*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/5)\/((-8)\/20). Let f(o) = 3*o**3 - 2*o**2 - 2*o. Let n be f(c). Let z = -31 + n. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26684141?\nAnswer: 11, 37, 65563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162935633 and 1309.\nAnswer: 1792291963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*b = -26*b + 350 + 170. Put 5, -5, 6, 1, b in decreasing order.\nAnswer: 6, 5, 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - 4*a - 3. Let u be w(5). Suppose 1 = 2*x - 5. Solve 0 = -4*h + 4*k + 5 + x, -4*h - u*k = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150*(1 - 0 - -9). What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*b - 80*b = -32. What is the units digit of b - (-19)\/(57\/1134)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8\/(-6) - ((12 - 16) + 17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.15 + 5.6. What is p rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2925*p + 482*p + 5483*p to h*p + q and give h.\nAnswer: 8890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -427*v**4 + 457?\nAnswer: -1708*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8613 and 41\/1299243.\nAnswer: 339102423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 509.81216 + 0.18784. What is the nearest to 2 in -5, 3\/5, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d - 2*h - 0*h, -4*d + h - 3 = 0. Suppose 178 = -19*c + 862. Suppose 38*f - c*f - 48 = d. Calculate the lowest common multiple of 22 and f.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, c: 1}. What is prob of sequence bcbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 4) to base 10\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -345 + 340. Calculate the common denominator of 27\/182 and (-493)\/(-116)*2\/q.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -894 - -898. What is the third derivative of 7*p**b + 14*p**3 - 186*p**2 - 16*p**2 - 3*p**3 - 4*p**3 wrt p?\nAnswer: 168*p + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m = -8*m + 423 - 1443 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) - (-13)\/(1456\/368).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71024\/11 - -6461. What is the common denominator of -23 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -2*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-39)*(1404\/(-24))\/(-13)*-7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 338*p**7\/105 - 7*p**5\/30 - 7*p**4\/24 - 62*p**2 - 2. Find the third derivative of k(c) wrt c.\nAnswer: 16224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:11 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*i + 21, -4*i = 13 + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 take away 0.1038?\nAnswer: 264.8962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207 + -5173\/25. Let a be (-2)\/(50\/2 + (6 - 4)). Let r = -67\/189 + a. What is the nearest to 0.4 in -3, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrco when four letters picked without replacement from {o: 4, r: 1, c: 1, n: 1, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-300)*3\/8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35760, -143018, -321770, -572010, -893732, -1286930, -1751598, -2287730?\n\"Answer: x**3 - 35753*x**2 - 6*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6866*f**2 + 8696*f**2 - 4*f + 5*f in the form v + w*f**2 + t*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 5*h - 3. Suppose v + 2035 = -4*v + n, -2*v = -3*n + 827. Let t = -402 - v. Calculate p(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)\/n)**(-35))**35\/((n**(-2\/13)*n*n**(-1\/2))\/(n**(-1)\/(n**1*n))) assuming n is positive.\nAnswer: n**(44503\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -0.826, -3 in ascending order.\nAnswer: -3, -0.826, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 175 + 1. Let r = 102 - p. Calculate the remainder when r is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-1 - 4 + 6)*(1 + 4 - 6)*(-h**5 + h - h).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2. Let b(f) = 107458*f. Give p(b(v)).\nAnswer: 34641665292*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8243 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807407256.\nAnswer: 2, 113, 3105539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 15. Let j = -529 - -531. Suppose 2*i + g - 6*g - 23 = 0, -g - 11 = -j*i. Solve -4*z + 4*x = -7*z + 7, i*z - l = -2*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 6, -5, -6.\nAnswer: -6, -5, 1\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.979 + -12. Let m = 1.399 - y. Let z = m + 2.22. What is z rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30304 divided by 15?\nAnswer: -30304\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times -0.0055?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 7:14 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/39 - 10\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**4\/12 - f**3\/2 + 45*f**2. Give g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.078 - 96. Let l = t - 0.0779829. Round l to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0.2 in descending order.\nAnswer: 0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141860, 142433, 143006, 143579, 144152, 144725?\nAnswer: 145298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17735 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-37695)\/(-2154))*39?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32144933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 43?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20144 and 55396.\nAnswer: 221584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717603914.\nAnswer: 2, 3, 13, 19, 1158977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 2*q - 1. Let o = -16 + 14. Calculate m(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = -0. Suppose 297 = 5*d + 3*j - 0*j, -3*d + 176 = 4*j. Let u be ((-2)\/(-8))\/(5\/d). Solve u*v = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2043106*w**2 + 3956094*w?\nAnswer: -4086212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/6534 and 97\/176?\nAnswer: 52272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 4554 + 2*k**3 - 16555 + 4041 + 4448 + 4125 in the form o*k + m*k**2 + y + x*k**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.7 + -1.3. Let y = -13 - m. Which is the second smallest value? (a) y (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 - 4*r + 2. Let p be m(-6). Let w be p\/(-10) - (-21)\/35. Suppose w = -0*v + v. Calculate the greatest common factor of 48 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 - 164 = -6*w - 241. Sort w, -2\/9, -3 in ascending order.\nAnswer: w, -3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1. Suppose 3*u - 2*w = -2*u + 13, -3*u + 5*w = -23. Let i(y) = y - 2. What is u*i(s) - 3*v(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10468586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1896780*d*j - d*m**2 + 317*j*m**3 + j*m + 45*m**3 - m wrt m.\nAnswer: -2*d + 1902*j*m + 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 14*o - 5. Let p be t(-10). Suppose -6*b + 3*l + p = -2*b, -15 = 3*l. Solve -3 = -b*w - 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*t + 69*t + 140 = 0. List the prime factors of 64800\/t - 3\/((-63)\/3).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 419\/1223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:31 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 3*v. Find the common denominator of -1*(-3 + v) + 40\/44 and (-3)\/((-162)\/165)*2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 50*h**4\/3 + 2*h + 25. Let f(q) = -q**2 + 3. Let i(m) = -m**2 + 2. Let s(l) = 2*f(l) - 3*i(l). Give o(s(b)).\nAnswer: 200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21529347817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(190))\/sqrt(10) + 0)*4 - (sqrt(209)\/(sqrt(88)\/sqrt(8)) + -1 + sqrt(304)))**2.\nAnswer: 30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((675\/(-50))\/(-3))\/(18\/8)*(-3)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190\/33 - 56\/11. Factor 4\/3 + 0*u**2 - 2*u + b*u**3.\nAnswer: 2*(u - 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*u = -580*u - 3*o - 59, -42 = 2*u + 4*o for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667823*g**2 + 0 + 0 - 667821*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-3955)\/790 + 5)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*x + 5*n + 27, 9 = x + n. Solve 2*u + 2 = -0*u + 3*h, x = 5*u - 4*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11026 and 47680?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*b**2 + 2*b**3 - 19*b**2 - 19*b**2 in the form r*b**2 + n + z*b**3 + c*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.92, -19\/3, 5, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 453. What is the common denominator of (-330)\/224 - (-6)\/21 and 38\/3*q\/(-320)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -420 (b) 0.2 (c) -3\/2 (d) 1\/7 (e) 4 (f) 10 (g) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - k - 41, 0 = -7*n - 11*k + 3*k - 327 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - 0.06. Let f = s - -2.2. Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10483 + 19587. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 2, u: 1, s: 2}. Give prob of sequence lul.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 + -119. Let t(r) = -i*r**2 - 7*r**2 + 35*r**2. Let j(x) = 115*x**2. What is j(t(a))?\nAnswer: 460*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v**2 - 5*v - 1. Let c(g) = 6*g**3 - 3*g**2 + 23*g - 41. Give -c(l) - 5*j(l).\nAnswer: -l**3 - 7*l**2 + 2*l + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 - 2*s + 0*s**2 - s + 3*s**2 - 4. Let p be w(-3). Let k = -55 + p. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2024 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-2) - 657\/(-108) and -27\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 527 = -4*r + 565, 0 = 2*h - 4*r + 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4)*(-6 - 4))\/1. Let r be -1*(-5)\/o*0. Suppose -5*i - 2*i + 399 = r. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013749379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94881779976 - 5.7.\nAnswer: 94881779970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202.26 + 198. Let x = -0.06 - t. Round x to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 347*h**7\/210 + 2*h**5\/5 + h**4\/4 - 2*h**2 - 330*h. What is the third derivative of c(d) wrt d?\nAnswer: 8328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 300*m - 2695.\nAnswer: -5*(m - 49)*(m - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 96 + 30*v**2 + 31 - 15*v**2 - 17*v**2 + 2*v in the form p*v + d + l*v**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*n - 6050000, -n - 6*w = -w - 1210000. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59, -325, -615, -763, -721, -441?\n\"Answer: 8*p**3 - p**2 - 437*p + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (258\/903 - (-61)\/(-91))\/(11*1\/11).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290551.3694 minus -31?\nAnswer: 1290582.3694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37273.016001 + 37273. Round c to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5 + 15. What is the tens digit of ((-188)\/l)\/((-1)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -816 + 817. Suppose 6 = -13*j - 46. Which is the closest to j? (a) 0.1 (b) 2\/3 (c) -1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3502, 3522, 3572, 3664, 3810?\n\"Answer: 2*k**3 + 3*k**2 - 3*k + 3500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 13 - 11*v - 13 + 13*v as i*v + k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9402755 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + -9 - (1 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x**2 + x + 3. Suppose 0 = -2*i - 2*t - 16, 4*t + 15 = -2*i - 9. Let g be n(i). Solve 3*j + g = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2676\/117 - 23)\/(25\/10).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 1. Let j(v) = 5*v**4 - v**2 + 11*v - 1. Let q(m) = -j(m) - s(m). What is the second derivative of q(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)*s**5*(s*s\/s**(1\/2))**(28\/3) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 6) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/5 + 403\/(-65))\/(-58). Is 0 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g - 17. Determine p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*g*p**2*r + 230*g*p*r**2 - 127*p**2*r**2 - 2*p**2 + 13*p*r**2 wrt p?\nAnswer: -82*g*r - 254*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*s - s. Let j(o) = -2*o**2 + s*o**3 + 3*o**3 - o + 4*o - o**2. Let q = -1 - -4. Let l(z) = -9*z**3 + 5*z**2 - 5*z. Calculate q*l(t) + 5*j(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -k, -3*r + 7*r + 3*k + 24 = 0. Let x = r - -22. Suppose 5*c = 5*g - 5, 2*c = 3*g - 1 - 3. Solve 2*w + x = -g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let u be n(4). Let l(r) = -r**3 + 2*r**2 + 3*r + 3. Let i be l(u). Which is the second smallest value? (a) 5 (b) -2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 n when three letters picked without replacement from rmnmnmosmqsooqssq?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*s**3 - 8*s - 22\/7*s**2 + 0.\nAnswer: -2*s*(s + 4)*(s + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 39. Let j(r) = 18*r**2 + 66*r + 7. Determine x(j(k)).\nAnswer: -18*k**2 - 66*k + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 102 in -5, 0.23, -0.1, -0.3?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -44, -49, -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:08 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**3\/3 + 3*b. Let y be 28\/6 + 8\/24. Let z(n) = -4*n - 1. Determine y*a(q) + 2*z(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001194269 to seven dps.\nAnswer: 0.0001194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -230142 divided by -6974\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - u + 3)*(-8609*u - 9011*u - 2158*u + 3768*u + 1966*u) to the form y + l*u + t*u**2 and give t.\nAnswer: 14044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27032*x + 84259*x + 25083*x.\nAnswer: 82310*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -13199?\nAnswer: -2\/13199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2083693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4476*b = -3535*b + 52696 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 999578*j - 5.\nAnswer: -999578*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/33)\/k)\/(k*k\/k**(-23)*k) assuming k is positive.\nAnswer: k**(-889\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -0.1142?\nAnswer: -7.1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 93.25655 nanometers?\nAnswer: 0.00000009325655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 629394990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-8)\/28)\/(4\/(-112)) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 23*q + 2. Give r(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322927 + 919771 = 162*v + 15*v. Is 91 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 + 247*c**2 - 131)*(-5 + 0 + 4).\nAnswer: -247*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 - -164. Calculate the remainder when 75 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*(-50)\/15. Suppose 0 = -0*j - p*j + 50. Suppose 9*z = 8*z + j. Calculate the remainder when 39 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, a: 3}. Give prob of picking 1 t and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253834503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4178310339 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(125)) - (sqrt(125) - (0 + sqrt(125) + sqrt(125))*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -62701 and -9342663\/149 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 136, -0.1, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {a: 2, o: 16}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = -n. Solve -3*m + n = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 + 2200?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 12 = 2. Suppose -20 = -f + c, f = 6*c - 3*c + 14. Let j = t + f. What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 6*a + 1. Let w be d(-4). Let m = 613 + -611. Let c = m + w. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -21*n**4 + 846*n**3 + 51735*n**2 + 221400*n - 67500 = 0.\nAnswer: -30, -5, 2\/7, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9492.\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 238, 225, 206, 181, 150?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826577?\nAnswer: 79, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:26 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.01. Let l = -3.99 - y. Let x = 2 - 2.2. What is the nearest to 2\/7 in x, -1, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5 + 434*h**4 - 1756*h**3 + 2644*h**2 - 1766*h + 442 = 0.\nAnswer: -221, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 5, 21, 63, 143, 273, 465, 731?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 - 1120*n**4 + 196304*n**3 - 6927880*n**2 - 196300*n + 6929000 = 0 for n.\nAnswer: -410, -1, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*w - 6559 + 2158 = -2081*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14.21 - -239824.30634\nAnswer: 239838.51634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177 + 180. Let v = 0.2 + -0.3. Let u = v - -0.2. Sort u, -2\/17, f.\nAnswer: -2\/17, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/4*(1 - 5). Let c = 36 + r. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-6 + (3 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2728610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 42*j + 61*j = 17460. What is the highest common divisor of 11376 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2 - -1 - (-6 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/16*6*36\/27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.32161 centuries to millennia.\nAnswer: 3.332161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let o be 25 + -1 + -1 + y. Solve -4*m - m = -o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-1 + 5 - 5)*(-2*f + 0*f + 3*f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - i + 208 + 58 + 152 - 3*i to x + d*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -174, -778, -1794, -3222, -5062, -7314?\n\"Answer: -206*i**2 + 14*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79837577 and 10015.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718 = -11*v + 3*v - 838 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlktztltzllltlllll. Give prob of picking 1 l and 1 t.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 4. What is the tens digit of o\/28 + (-61)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + s - 1910*s**2 - 2*s + 1909*s**2 as w*s + t*s**2 + m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1902 = -7*g - 215. What are the prime factors of g?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -2 + 2)*(-6)\/(-60)*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(2\/114). Suppose 0 = -4*i - 35 + 159. Let j = i - p. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*h - 112 + 202 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.67 - -169.23. Round o to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.09598mm to centimeters.\nAnswer: 0.209598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 4aa3?\nAnswer: 4aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43209 + -30246. What are the prime factors of b?\nAnswer: 3, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 314784722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -79612, 0, 6 in descending order.\nAnswer: 6, 0, -79612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 16*o + 41. Give n(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -29, -44, -59?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 21\/20?\nAnswer: 21\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**(2\/3) assuming t is positive.\nAnswer: t**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2024 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7651 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 7*v + 0*v)*(48 - 48 - 7*v)*(-v - 5*v + 4*v - 2).\nAnswer: 84*v**3 + 84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 17304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 greater than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1263, -5054, -11371, -20214, -31583?\n\"Answer: -1263*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 767, 1864, 3395, 5360?\nAnswer: 7759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -205. Solve -w = -4*c - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -428.3 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose 0 = -5*n - 4*g - 55 + 19, -q*n - 5*g - 28 = 0. What is the biggest value in n, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 2*a + 4 = b, 4*b - 1 = -3*a. Let o be b\/7 + 792\/28. Let m = o - 17. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 - 7891053*u - 15782118 = 0. Calculate u.\nAnswer: -2, 2630353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 473 = 517. Let g = m + 95. Let c(i) = -i**3 + 7*i**2 - 11. What is the remainder when c(g) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 + -2 + 0). Let x = s - -5. Suppose q + 0 - 1 = 0, x*f + 2*q - 16 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*c**2 - 115*c**2 + 161*c**2 + 90 - 90.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290257*n**3 + 67*n**2 + 1303?\nAnswer: -1741542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-3 + 15) - (2 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*a = 9, 4*j + a - 30 = 33. Let z(t) = -t**2 + 19*t + 52. Is z(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642 - 1886 = -129*v + 1600 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001367 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16577 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 3. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k + 5. Let v be t(-4). Suppose 4*u + v = 17. Let b = -59 - -55. What is the smallest value in u, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40361.18 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8123 divided by -4?\nAnswer: 8123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 681 (b) 1\/6 (c) -1.1 (d) -4594\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48\/(-32) - (-509)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -32. Sort 2, q, -4.\nAnswer: -4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1618827 and -89\/65794?\nAnswer: 216922818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415 - 405. Are 3 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 308.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*p**2 - 176*h*p + 39*h + 32*p**2 - 28*p + 4 wrt h?\nAnswer: -2*p**2 - 176*p + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10363 divided by -241?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2096 divided by -16.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536247 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: Which is the second smallest value? (a) 4\/5 (b) -3 (c) 9283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*q - 66 + 17*q + 39*q wrt q?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1208433 and 40\/89.\nAnswer: 107550537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = -4*l - 27*l + 720 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48916731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-11 + (-5175)\/(-475)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.3 and -15.4277.\nAnswer: 50.91141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 207, 207, 209?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-54)*4 - 989\/(-207). Let t(r) = 7*r**2 + 23*r + 9. What is the tens digit of t(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + -18 + -12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 238 - -346. Suppose -4*x + 77 + 479 = 4*g, 4*x = 3*g + i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 2*w - 11. Let p be u(5). Is (-37)\/p*84\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/150 + 7*s**4\/10 - 147*s**3\/5 - 2*s**2 + 1. Factor a(j).\nAnswer: -2*(j - 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12073725 and 6975?\nAnswer: 12073725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*h - 7 = -29, -2*b = -3*h. Let w be ((-4)\/b)\/((-2)\/3). Let r = -4 + 7. Is r at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.984 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 5*y. Let p be u(-4). Suppose b = -10 + 46. What is the highest common factor of b and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 8*i**2 - 9*i + 1. Suppose 5*h + 25 = -3*j + j, h = 4*j - 27. Determine t(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -21*q**3 - 170*q**4 - 10*q + 341*q**4 - 45*q**2 - 170*q**4 - 13*q = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 5*m + 41 = 0, -3*m - 6 + 33 = -4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/5 + 2 + -3. Let l(t) = t**3 - 6*t**2 + 5*t - 3. Let v be l(5). Put 5, i, v in descending order.\nAnswer: 5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -39. Let h = d - 20. Is 14 a factor of h*(-3)\/((-6)\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)\/w)**26)**2 assuming w is positive.\nAnswer: w**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -2, -16, -1370, -3, 4 in increasing order.\nAnswer: -1370, -103, -16, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 + 11*i - 4. Suppose -x + 14 = 20. Is 30 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/7)*v)\/v)**(5\/7)*(v**2)**(-42))**(-16) assuming v is positive.\nAnswer: v**(66016\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 3*i**2 + 2*i**2 - 2*i**2 - 31*i**3. Let g be h(-1). Suppose 0 = -2*s - 4*b + g, -4*s + 3*b + 72 = 19. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1 and 11.1594.\nAnswer: 12.2594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39.328 (b) 389 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -889327019379?\nAnswer: 889327019379.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - y**5 - 2*y + 8*y**3 - 6*y**5 - 8*y**3 + 5*y - 2*y**5 - 5*y + (0 + y**4 + 0)*(-2*y - 2 + 2).\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52326 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(((-873)\/194)\/(6\/4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13577 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 2*q**2 + 2. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = -y. Let p be y + (1 - 4) - 2. Let a be -1*((-1 - p) + -1). Sort 5, -4, a.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = p - f, 24 = 3*p + 3*f. Let z(w) = 2*w + 5. Let y(r) = 4*r + 11. Determine p*z(m) - 6*y(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)\/n**(5\/2))\/(n\/n**(-3\/2)*n*n*n**(-5\/6)*n) assuming n is positive.\nAnswer: n**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -5*j - 5, 0 = -5*j + 15. Suppose -t*r + 16 = -9. Suppose -5*p - r*g + 2010 = 0, 0*p + 4*g = 2*p - 792. Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -4. Let c = 921 - 891. What is the tens digit of p\/10 - (-1554)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37332 by -12444.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**7\/g*g)\/g**(-8))\/(g\/g**(2\/9))**(-43))\/((g**0)**45*(g**(-2))**(-44)) assuming g is positive.\nAnswer: g**(-338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -769\/1073158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 7 = -4*y + 3*z, 4*y - 5 = -z. Solve 4*x - y - 18 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*s + 1412, -s + 856 = -0*b + 3*b. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -145*z**2 + 1335*z - 265. Give r(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21096 and 671974404.\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6934 divided by 6\nAnswer: 3467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1 + -5)\/5. Suppose -f - 20 + 14 = 0. Which is the third smallest value? (a) 1 (b) f (c) 0.3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y**2 + 0)*(0 + y**2 + 0) - 2*y**4 - y + y + 676*y - 386*y - 290*y + 3134*y**4.\nAnswer: 3130*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12515, 25436, 38357?\n\"Answer: 12921*p - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 1\/5 (c) 4\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*g + 14*g - g)*(2*g - g - 3*g) - g + 1525 + g**2 - 774 - 762 - 2 + 1 + 4*g**2 - 2*g**2 to w*g + j*g**2 + a and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = 0, 2*j + 3*j = u - 8. Let g(r) = -r**3 + 4*r**2 - 6. Let c be g(u). Solve v = -c*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/a**(1\/2))\/((((a\/a**(-8))\/a)\/a*a)\/a**5) assuming a is positive.\nAnswer: a**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*s**2 + 1131*s**2 + 1591*s**2.\nAnswer: 2920*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -583, -1167, -1751, -2335, -2919, -3503?\nAnswer: -4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 18*d = 13 + 115. Solve b = -d*b, 0 = -q - 2*b + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.4. Let v = 0.2 - -0.3. Which is the closest to -1? (a) v (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m**2 + 4*m**2)*(294*m + 123*m + 45*m).\nAnswer: 924*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381093776*u**2 - 379803246*u wrt u.\nAnswer: -762187552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 494560475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 1\/3, 1\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 1969070.\nAnswer: -9\/984535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + -6130?\nAnswer: -6102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*b + 23, -w - b = 1 - 11. Let z be w\/(-28)*4 - -3. What is the greatest common divisor of 46 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - 164*p**3 + p + 2*p**4 - 2 + 1 + 16*p**3 wrt p.\nAnswer: 24*p**2 - 888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7322582, 14645166, 21967750, 29290334, 36612918, 43935502?\nAnswer: 51258086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r**2 - 1. Let d be l(-1). Let n = d + -9. Suppose 0*x + x = n. Sort -4, x, 3 in ascending order.\nAnswer: -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:30 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - h - 28 = -6*h, 0 = 5*r + h - 10. Let o be (r - 1) + (-35)\/(-5). Solve 4*z - o*z = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -10\/3*x**3 - 3\/4*x**4 - 16 + 3\/2*x**2 - x. Is o(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 780*c**2 - 97747*c\/4 + 103983\/2.\nAnswer: (c - 3151)*(c - 2)*(c + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1138 and 45924559.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2227537 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 30 - 30 = 0. Let b be ((-4 + m + 0)*0)\/(-1). Solve b*l - 3*l = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/(88\/(-80))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + 15*w**2 - 9*w**2 - w - 7. Let r be h(-6). Suppose 111*d - 156 = r*d. What is the remainder when 194 is divided by d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3.8, -59, -2\/15, -1\/5, 36, 2\/3?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109842031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131116068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let f = p - -2. Let c(v) = 41*v**3 + 2*v**2 - 1. Let y be c(f). Round y to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368\/2576 + 1\/(7\/3874086) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578811*d**3 + 0*d - d + 289475*d**3 + 289368*d**3.\nAnswer: 32*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-4)\/(24\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 403784.2 milligrams?\nAnswer: 0.4037842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**2 - 4*c + 4*c as z*c + j*c**2 + m and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 1. Let c = 4 - -2. What is the remainder when o(-2) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/7122 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8146, 16258, 24408, 32614, 40894, 49266, 57748, 66358?\nAnswer: 75114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 806004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 10*w - 10. Suppose 0 = -2*n + 4*c + 14, 2*n + c - 21 = -7. Let v be f(n). Let y = v - -2. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l**2 + 2842647*l + 1541792 = 0. Calculate l.\nAnswer: -32\/59, 48181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 40346559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 2*v + 15, 4*g - 5*v - 7926 = -7893 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16605397?\nAnswer: 16605397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 4*j + (-1 + 1 + 3)*(2*j - 5*j + j) + 6*j - 3*j - j)*(-2*j + 3*j - 3*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 67, 0.5, 5, -1\/25, 7, 0.1?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38427?\nAnswer: 3, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.1901 + 0.0099. Let g = -13.1 + o. Sort -4, g, -0.4, -2\/11.\nAnswer: -4, -0.4, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 201 - 83 + 2598*l - 118 in the form t + i*l and give i.\nAnswer: 2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s - 9*s**2 + s**3 - 33 + 3\/4*s**4. Determine u, given that c(u) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 595743 - -150?\nAnswer: 595893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3357*r = 2*j - 4*j - 1675*r - 1677*r + 23, -42 = -4*j + 6*r for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254 a factor of 322193037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 5. Let k be c(2). Suppose -k*b = -r, 3*r = -b - 4*b - 70. Let y = -12 - r. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5170 divided by 110\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -966.\nAnswer: 2318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/12 - (-698)\/(-24))\/((-365)\/1095). Suppose -k - 4 = -0, 0 = -2*l - k + 40. What is the highest common factor of r and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i - 2. Let d(h) be the first derivative of -5*h**2\/2 - h + 5. Let g(y) = y**3 - 9*y**2 + 8*y - 5. Let t be g(8). What is t*d(z) + 3*n(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10024349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2 - 44 + 12*o - 50. What are the prime factors of i(20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**5\/60 + a**4\/24 + a**2 + 2. Let g(d) be the second derivative of l(d). Let r be g(2). Sort r, 4, 0 in increasing order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/30 + y**5\/15 - y**4\/3 - 10*y**2. Factor v(b).\nAnswer: 4*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 45 = v, -12*l + 7*l + 5*v = -75. What is the tens digit of (-170)\/(-17)*492\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s. Let t(z) = 14*z. Let o(k) = -4*j(k) - t(k). Let l(c) = 33*c. Let v(n) = -8*n. Let f(b) = -5*l(b) - 21*v(b). Calculate o(f(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**2\/7 + 852552*p\/7 + 3410160\/7 = 0.\nAnswer: -284180, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1950 - 911. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*a + 5625, 3*a - 1049 = -s + 88. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g. Let i(a) = a**3 - 13*a**2 + 12*a + 7. Let h be i(12). Let v(k) = -h*k**2 - 4*k**2 + 14*k**2. Give v(p(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.2 (b) 45 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 241 = 3*h - 74, -4*h + 5*w = -418. What is the remainder when h is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 8*h**2 - 5*h - 5. Let a be y(7). Let d = 3 + -7. Let u = a + d. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3155557*s**2 - 5*s**3 + 3155557*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111 + -11?\nAnswer: -11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -269 divided by 233\nAnswer: -269\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19451 and 11010?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -8.1. Is -7 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2379107 and 10.\nAnswer: -23791070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 140*p = 84*p - 143*p - 960 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -78. Suppose -x*p = -10 - 20. Is p > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(21\/12) - -1. Let o = i - -3. Find the third derivative of 3*g**6 + g**6 + 4*g**2 + o*g**6 wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 11) in base 8?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-4)**2 + sqrt(52) + 1.\nAnswer: 2*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 10, 5 in descending order.\nAnswer: 10, 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(((-1287)\/176)\/(-13)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 29*o + 45. Let i be g(24). Let l be i\/50*2\/(-12). What is the closest to l in 2\/9, 3\/2, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(1224))\/(5*-4*-1*sqrt(2)).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 3. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11163768*g*i*q + 4208*g*i + 4*i*q + 73523*i wrt q?\nAnswer: -11163768*g*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, o: 12}. Give prob of picking 3 o.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t. Let m(d) = -441 - 440 - 63*d + 881. Determine a(m(h)).\nAnswer: 378*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 9, -1\/29, -315, 0.2 in increasing order.\nAnswer: -315, -3, -1\/29, 0.2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/9986702 and -31\/32451?\nAnswer: 868843074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5718511 (base 10) to base 14\nAnswer: -a8c011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145.3 - 50.3. Let q = 108 - x. Which is greater: -1\/6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -45, -65, -85?\n\"Answer: -20*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:06 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:50 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 28*s - 6. Let x(f) = f**3 + 6*f**2 + 11*f + 11. Let l be x(-2). Let i(u) = -9*u + 2. Calculate l*q(m) + 16*i(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, 222, 4, -5, -2, -11 in decreasing order.\nAnswer: 222, 4, 1, -2, -5, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3148, 6307, 9468, 12631, 15796, 18963?\nAnswer: 22132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*i*v**2 - f**2*i*v + f**2*v - 3876*f**2 - 5*f*i*v**2 + f*i - 52*f*v - 7*v**2 wrt f?\nAnswer: -6*i*v**2 - 2*i*v + 2*v - 7752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1366*o**3 - 10591*o wrt o?\nAnswer: 8196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p - 7*p - 5*p to a*p + f and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.3. Let c = -0.7 - -1. Let g = 0.7 + c. What is the nearest to g in 4, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 214474 and -0.4?\nAnswer: -85789.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1584) + -2) - sqrt(1584))*4 + 5.\nAnswer: -27 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q + 20. What is q rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11634155*l**2 + 9608880*l?\nAnswer: -23268310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/60 + 5*k**4\/24 + 7*k**3\/3 + 2*k**2. Let r be p(-7). Let z = r - 20. Calculate the remainder when 22 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 213, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3348\/(-1461402)*(-9)\/(-1).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 73, 3 in descending order.\nAnswer: 73, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-12)*h*h)\/h**(6\/17))\/(h*(h\/(h**(8\/5)*h*h))\/h)**(-8\/5) assuming h is positive.\nAnswer: h**(4882\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81 + 198 - 59)*(-4*j + 4*j + 2*j)*(-3*j + 5*j + 0*j) in the form h + y*j + s*j**2 and give s.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + d + 193 = 0, 3*v = 4*d + 42 + 145. Let p be v\/100 + (-2)\/5. Which is the closest to 0.1? (a) p (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 34 = -t - a, 5*t - 218 = 2*a. Calculate the remainder when t is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -996 - -139437\/140. Let l = -199\/3780 + m. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 4 - 1 - 2 + 0 to i + g*t**3 + o*t + f*t**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 16*h**2 - 8*h**2 + 0*h**2 + 16*h**2. What is the remainder when c(-1) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.07, 0.29, -7, 1, -634, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.2 (b) 2\/34689 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*i*k*v + 13*i*k - 2*i*v**2 + 2*i + 6 wrt v?\nAnswer: 52*i*k - 4*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(45\/8)*(-303)\/404.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 115 + 272. Let x = -123 + h. Let m(i) = -i**2 + 8*i - 9. Calculate m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24251109575\/14260077 + 4\/528151. Let y = 1701 + b. Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8545 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 702588737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.57000215 + -0.57. Round o to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -738510*q + 738365*q - 5510 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11266376 is divided by 75613?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.050276 + -1.020234. Let g = 1.07 + w. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6105144 rounded to three dps?\nAnswer: -2.611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1242.46 - -1274. Let p = q - 0.54. Let h = p - 28. Sort 1\/4, h, -2.\nAnswer: -2, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (2*(sqrt(2299) - (sqrt(2299) + 1)) - sqrt(2299)) + -1*(1 + 1 + sqrt(2299))))**2.\nAnswer: 147136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(4\/5)*(c\/(c**0\/c))**(-20)*(c**(-2\/3)*(c*c*c\/(c\/((c\/c**(1\/9)*c)\/c))*c)\/c)\/(c*c\/((c*c\/(c**(1\/4)\/c))\/c))**32 assuming c is positive.\nAnswer: c**(-2132\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 5*f**4 + f**4)*(1 - 35*f + 2*f - 9*f).\nAnswer: 168*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*z**4 - 3652*f**3*z - 2*f**3 - 30807*f*z**5 - f*z**2 wrt z?\nAnswer: -24*f**3*z - 1848420*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -137\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(425) + 3*sqrt(17)*-1 - ((1*(sqrt(272) + -1*sqrt(272) + sqrt(272)) + sqrt(272))**2 - ((-1 + sqrt(272))*-2)**2)).\nAnswer: -45*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + 33*l - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22229 or -1708?\nAnswer: -1708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*z = -2, 5*z - z + 16 = 0. Let f(l) = -6*l. Let c be f(-7). Suppose -3*n + n = a*t - 58, 4*t + c = n. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 8*m - 5*m. Factor -6*h**2 + 0*h + m - 3\/2*h**3.\nAnswer: -3*h**2*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - l - 1 = 5*a, -5*a + 3*l - 37 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 822733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, -1.6, 1\/5, -0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwpk when four letters picked without replacement from wppkppwwpkpwpww?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132138 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 4218120.\nAnswer: 12654360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37613*v**4 + 15*v**2 - 628*v wrt v?\nAnswer: -902712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from eaaaaaackakccaaa.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/(-105) + ((-78)\/30 - -2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29825 at most as big as -29783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*f - 288*f - 44*f**3.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = -o - 129, 0 = -4*o. Suppose 0 = -3*h + q - 9 + l, -2*h + 30 = 2*q. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 19*k + 40. What is t(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (-4 + sqrt(847) + sqrt(847) + sqrt(847) + 0)) + -3 + (sqrt(847) - (sqrt(847)*-2 + -5)) + 2*-2*sqrt(847))**2.\nAnswer: -396*sqrt(7) + 7659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1502, -1617, -1774, -1997, -2310, -2737, -3302?\n\"Answer: -4*c**3 + 3*c**2 - 96*c - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**3*k - 3*b**2*c**2 + 17*b**2*k + 2*b*c**2*k - 2*b*c**2 - 3*b*c*k - 3*b*k + 3*c*k wrt b.\nAnswer: -36*b*k - 6*c**2 + 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 333 = v, 7*v - 71*f - 2283 = -73*f. Is v a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 30 = -8. What is the remainder when (13 + -1)*(-16)\/(-3) is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293591 + -0.1\nAnswer: -293591.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6644 * -80617.\nAnswer: -535619348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2446.57423 to the nearest integer.\nAnswer: -2447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqq when three letters picked without replacement from npnununppqpnqpnnpn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:23 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 + 4*l - 4. Let j be s(3). Let i be ((-21)\/(-14))\/(3\/j). Solve 4*p - 4*v = -2*v + 4, 2*p - i*v = 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 + 95 + 86 + 24*s - 253 to x + y*s and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38420 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9016 = -933*r + 12079 + 6644 - 682 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 82. Is ((-43434)\/(-45))\/((-8)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12015357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 896 * -60.231\nAnswer: -53966.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 - -587. List the prime factors of d.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 + 18\/(-10). Suppose 0 = 5*y + 1 + 4. Sort n, 3, y in descending order.\nAnswer: 3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -78*p + 77. Let w be a(-8). Suppose -6*s - w + 2135 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.04812 + -176.79512. Let q = -0.253 + u. Let y = -242.5 - q. What is y rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**4 + 108*a**2 + 2*a - 36?\nAnswer: 24*a**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 9372*j**2 + 2188028*j - 14858340 = 0. What is j?\nAnswer: 7, 255, 2081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 12. Suppose -6 = -3*k - 4*h, -k + q*h - 3*h = -2. Solve -r = k + 2, 2*r + 23 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 41236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.268392 + 0.039.\nAnswer: -2.229392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-1085)\/(-63) - 11)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-6)\/x)*x*x*x*x*x**(14\/3))**(-7\/3)\/(x\/((x\/(x*x*x**(8\/5)\/x))\/x)*(x\/x**(-2\/11))\/x)**(-3\/16) assuming x is positive.\nAnswer: x**(-18899\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*l + 196 = -464*l + 4*w + 62, 0 = -l + w + 19 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1220011120112?\nAnswer: -1220011120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/15 - 34*h**2\/5 + 90*h - 1782\/5 = 0. What is h?\nAnswer: 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78\/6523 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10404 - 20771\/2. Let y(p) be the second derivative of f*p**2 + 0*p**3 + 0*p**5 + 0 - 29\/30*p**6 + 0*p**4 - 35*p. What is the derivative of y(w) wrt w?\nAnswer: -116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 56 = -17*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 931 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 2*q**2 - 8*q - 5. Let k(g) = g**3 - g - 1. Suppose 2*i = 2*z + 6, -3*i + 23 = 3*z + 2*i. Let d(v) = z*f(v) - 3*k(v). Is 16 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -46, 15, -2, 3, 179, 1.\nAnswer: -46, -2, 1, 3, 15, 42, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4071 or 4073?\nAnswer: 4073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {t: 3, h: 1, b: 5, p: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 19662370?\nAnswer: 98311850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - j = -29*r + 1552 - 1616, -9 = 3*r - 2*j for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*n**2 - 2*n + 53*n**2 - n**2.\nAnswer: 265*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 66. Suppose -z = k, -3*k - 21 - 3 = -3*s. Calculate the greatest common divisor of 9 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) -1658 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14892 is divided by 304?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - -2) + (-2 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 8, 0.4, 73, 1\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*t - 41 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 453, 462, 469, 468, 453, 418, 357, 264?\n\"Answer: -i**3 + 5*i**2 + i + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 - 1371077.\nAnswer: -1371112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13977672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 2, 0.1, 4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -75126.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w + 88 = 4*u, -147 = -3*w - 3*u. Solve 44 - w = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0, 4\/9, 2, -2\/13, 41?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -0.2, -5 in decreasing order.\nAnswer: -0.2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -966.2087 + 0.2087. Let a = v - -966.000411. Round a to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 83456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s + 5. What is the least common multiple of s and (56\/196)\/(1\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s + 166 + 15*s + 0*s**4 + s**4 - 313 + 161 - 51*s**2 to f*s + c*s**2 + n + r*s**3 + h*s**4 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-1\/35)*(z**0)**(-5\/6) assuming z is positive.\nAnswer: z**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7567 = -61*w + 105*w + 1217*w - 22697 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -100222000100000?\nAnswer: 100222000100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 6. Let x = 31 - 33. Let p(g) = g + 7. Let n(v) = -2*v - 13. Let w(z) = -6*n(z) - 11*p(z). What is x*j(c) + 10*w(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27544105 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 6*z - 4. Suppose -13*k + 64 = 3*k. Suppose -z*o + 6*o + 5*s - 35 = 0, -k*o = -2*s - 14. Calculate the lowest common multiple of 12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/((c*((c\/(c\/c**(-8))*c)\/c*c)\/c)\/c)*c\/((c\/c**(9\/7))\/c) assuming c is positive.\nAnswer: c**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) - 72\/(-154). Let z = -12800 + 12804. Which is the nearest to 2\/3? (a) k (b) -3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57350120412 - 0.0152\nAnswer: 57350120411.9848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10097 is divided by 1397?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 213. Let x be r(-29). Let z(o) = 71*o - 39. What is the units digit of z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)\/(5\/(-5)). Let c be 1256\/24 - w\/3. Let s = -27 + c. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -3*j**5\/10 - 5*j**4\/3 + 107*j**3\/6 + j**2 - 257*j + 2. Find the second derivative of t(p) wrt p.\nAnswer: -36*p - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86\/(-40) + 1 - (-45)\/36. Which is bigger: -141 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005566285412 to six dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.038 take away -17029?\nAnswer: 17027.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16375 by 18766.\nAnswer: -16375\/18766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpugrrn. What is prob of picking 1 r, 1 u, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1030a + -4?\nAnswer: 10306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1310*g + 12. Let i(h) = 2*h. Give y(i(n)).\nAnswer: -2620*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2 - r - 2. Let y(s) = s**3 - 2*s**2 - 7*s + 5. Let o be y(4). Let m be (-6)\/o + (-24)\/(-9). Is g(m) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1752, -4257, -7522, -11547, -16332?\n\"Answer: -380*c**2 - 1365*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + 8. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/29))\/d)**35\/(d\/d**2)**(-1\/4) assuming d is positive.\nAnswer: d**(4311\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 28. Let v(m) = 8*m + 7. Let w(o) be the first derivative of o**2\/2 + o + 5. Calculate l*w(g) - 2*v(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -361*c**3\/6 + 41*c**2 - 4*c - 40. What is the derivative of h(p) wrt p?\nAnswer: -361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 9) in base 15?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24729.7 and 2749720.\nAnswer: 2774449.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 841\/435*(-30)\/(-2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25878.\nAnswer: 2, 3, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5810710, -11621420, -17432130?\nAnswer: -23242840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11644472 and 831748.\nAnswer: 11644472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188188 and 1498497?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22244 take away -2894?\nAnswer: 25138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4329, -3093, -1803, -459, 939, 2391?\nAnswer: 3897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*d + 1. Let w be d\/(-5)*(-8 + -2). Sort -4, w, -2 in decreasing order.\nAnswer: w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 97, 77, 43, -5?\n\"Answer: -7*o**2 + o + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8*i - 6040 = 0. Let y(a) = -a + 604 - i. Let q be y(-2). Solve 0 = -2*s + q, 6*o + 5*s = 5*o + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344918*d*v**3 - 8*d*v**2 - 2*d*v - 2*v**4 + 439*v**2 wrt v?\nAnswer: 2069508*d - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 2176 - (-3)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6006 - 1123116\/187. Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3039320 (base 10) to base 12\nAnswer: 1026a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688914 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 126295?\nAnswer: -252590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + t + 1 + 1, 0 = 5*h - 5*t + 20. Let d be (-1)\/h - (-8 + 6). Solve 0 = f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (22 + -20 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Suppose -5*i + 64 + 46 = 0. Suppose 2*l - 5*m = -3 + i, 5 = 4*l + m. Calculate the remainder when l is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 136252475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.984 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 12:30 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.1 - -4.1. Let h = 0.2 + 0. Let i = h + -0.3. Sort i, -5, p in descending order.\nAnswer: i, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 51*p**3 + 5*p + 4. Let a(u) = -2*u**3 - u - 1. Give 4*a(r) + x(r).\nAnswer: 43*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -629 - 7208. Let g be -1 - (-2)\/((-48)\/(-188002)). Let r = l + g. What is the common denominator of r and -59\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i - 8*i - 3*i as q + u*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 156. Let b be 5\/(-1 - -26*m\/48). What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 49 = -1751. What is the highest common divisor of u and 2500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -208 - -223 - (1 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069062939 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3775*v**2 - 942*v**2 - 949*v**2 - 947*v**2 - 941*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/308 and 71\/44520?\nAnswer: 489720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103, -84, -65, -46, -27, -8?\n\"Answer: 19*o - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4621 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4837 and 5528?\nAnswer: 38696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-10 - 2 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/23, -0.2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*a - 6, 169*a - 56 = 4*d + 174*a + 36 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1008480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (24 - 11) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 36617004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 3}. What is prob of sequence uu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) 3 (c) 38 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187 and 4.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 2. Let s be p(2). Calculate the greatest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and ((-12)\/(-7))\/(-4)*-7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1aab5 (base 13) to base 9\nAnswer: -78747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101001100111100 (base 2) in base 13?\nAnswer: 7825a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3343 - 2299. Let a = -2176 + r. Let k = a + -158. Round k to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*a = 0, -4*a - 15 = 1. Suppose 5*n = d + 2. Let v be 3\/(-9)*0 - n. Let f(l) = -3*l. Give f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) - (-459)\/1215?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 129 = -2*w - 1363, 5*p + 5*w - 1210 = 0. What is the highest common divisor of 1007 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-99)*(-2)\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -737*y + 743*y + 5*v, -5*v + 18 = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.5 < 10\/561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 - 66*z**2 + 4*z - 9. Let d(q) = -q**3 + 2*q**2 - q + 2. Give -c(s) - 4*d(s).\nAnswer: -2*s**3 + 58*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**6*n + 51*h**3*n + 3627*h**2*n wrt h.\nAnswer: -240*h**3*n + 306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.29072km?\nAnswer: 3290.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15783000 to the power of 1\/2, to the nearest integer?\nAnswer: 3973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = -3*s + 9*b, -228*b + 223*b = s - 159 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 45*u**2 + 3308*u - 574. What is i(-35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l. Let v(r) = -13*r**3 + 52*r. Suppose -1193 = 161*j - 416*j + 12067. Give j*g(x) - v(x).\nAnswer: 65*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311 + 43. Is (-2)\/(-2)*(17 + q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)**(-16)\/(f\/(f\/(f**(-7)\/f))*f)**(-4\/9))**(-1\/4) assuming f is positive.\nAnswer: f**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5933380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 3*s = -2850, -3*d + 4281 = -3*s. What are the prime factors of d?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6035086, 6034166, 6033248, 6032332, 6031418?\n\"Answer: o**2 - 923*o + 6036008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7085 - -7080. Let t(s) = -3*s - 3. Let g be t(-2). Suppose -g = 4*q + 13. Which is the biggest value? (a) -7 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13432931 + 7804931. Round y to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*d**2 - 8*c*d*l**2 + 9*c*k + 2*d**2*k*l + d**2*l**2 - d*k*l**2 - 35*k wrt c?\nAnswer: -d**2 - 8*d*l**2 + 9*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -1. Let v = -0.19 - -0.23. Let r = v - -3.96. Which is the smallest value? (a) d (b) 1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + (-10)\/2 + -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 0.24305, 5, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 - -2) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -23*g**2 + 1 + 2 + g**3 - 2 + 22*g**2. Let i(n) = 6*n**3 - 5*n**2 + 5. Determine -20*h(t) + 4*i(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 26872300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 - -448. What is the greatest common factor of z and 2532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 101*j**2 - j + 1. Suppose -t = -4*t + 9. Is y(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 - n - 3. Let c be s(-6). Calculate the highest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {r: 1, e: 2, l: 1, p: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/(-5 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75760.\nAnswer: 2, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {y: 1, m: 1, v: 9, x: 1, p: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(-3 + 1). Let t be -2 - (-1)\/((-2)\/(-12)). Let p = t - w. Solve 1 - 3 = p*z - 4*q, -z = 3*q - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282605 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 - 248. Let i = x + 114. Let d be 1 + -1 + (-2)\/4. Which is the closest to 1? (a) d (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 160*p - 6084. Give m(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*o + 208 = 160*o + 130*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from xicrxlr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3 + 2*m + 0*m - 2*m**2 - 1 + 3*m**2. Let n be b(-3). Let j(x) = -x**2 + 4*x + 8. Let s be j(4). Do n and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 5*f**2 + 6*f - 14. Give k(4).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(22\/(-4) - -6) - 56\/16\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.2 + 181. Let n = 10.6 - t. Let i = 4 + -2. What is the closest to -6 in i, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -382*d**2. Let w(p) = 4*p + 14. Let f(z) = -2*z - 8. Let v(n) = 7*f(n) + 4*w(n). Determine h(v(r)).\nAnswer: -1528*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 11) to base 2.\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1347 + -3475. Let n = m - -7615. Let z = n + -120775\/22. Calculate the common denominator of 49\/22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/8121?\nAnswer: 2\/8121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1 = 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*5 + 14 + -12. Calculate the greatest common factor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -848 - -850. Let m(q) be the first derivative of -q**4\/4 - q**3\/3 - 2*q**2 + 3*q + 3. Determine m(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 62860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 21035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f - 8. Let d be (-12)\/(-9)*(-2 - 4). Let k be x(d). Suppose 35 + 16 = 3*l. Solve 0 = -5*g + k + l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22983, 53304, 103839, 174588, 265551?\n\"Answer: 10107*o**2 + 12876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -1897\nAnswer: -68\/1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28 - 26 + 4*u + 9*u wrt u?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -68876940?\nAnswer: 1\/22958980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 24*a - 191. Let x(t) = -t**3 + 2*t**2 - t + 1. Let j be x(1). Let d(c) = 3*c**3 + 2*c - 1. Let z be d(j). Solve -z*y + 0*y = -a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.72 - -53. Let m = s + -1.4. Let r = -0.12000094 - m. Round r to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-30)*(-2160)\/72.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1670917\/5 or -61?\nAnswer: -1670917\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*o + 732 = 0, 5*l - 699 = -4*o + 210. Let p = -126 + 200. Calculate the highest common factor of l and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 75*m + 5 - 166. Let r(a) = -4*a + 29. Calculate r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55a9feb - 1?\nAnswer: -55a9fec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12512257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 0 - 4)*(-3 + 3 + 2*u) + 8*u + 4*u - 5*u + 2 - 2 - u - 11*u - 2 - 12*u + 22*u)*(-u - 2*u + 2*u).\nAnswer: -9*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5316 - 5316 - 131*n**3.\nAnswer: -131*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) + (39794 - -3) - -4. Suppose h = 2*n - 0*n. What is n rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*(-54)\/4. Let l = -15 - y. Factor 2*g**2 + 21*g**3 + 11*g**4 + 13*g**2 - 2*g**4 + l*g.\nAnswer: 3*g*(g + 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*j = -c + 6, -2*j = -c. Let u(x) = x**2 + 5*x + 6. Let g be u(-1). Suppose -g*r + 9*r = 7. Sort c, 0, -5, r.\nAnswer: -5, c, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 10, 3, -6, -0.08 in decreasing order.\nAnswer: 10, 3, -0.08, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 15*n + 2. What is the smallest common multiple of r(15) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*o - 2715 = -38*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 48050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 24, 1632 in ascending order.\nAnswer: 2\/9, 24, 1632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 0*w - 4*a + 20, -3*w + 9 = a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2308370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (43 - (46 + 19)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(119)*-1 + sqrt(119))\/((sqrt(7) + sqrt(28)\/sqrt(4))*2).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z - 3*j + 804, 0 = -4*j + 4. Calculate the least common multiple of 24 and z.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 5. Let b = 2.8 - 29.8. Let l = 28 + b. What is the nearest to 0.2 in m, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20235, 20224, 20213, 20202, 20191, 20180?\n\"Answer: -11*w + 20246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 27.654?\nAnswer: 27.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 + 13.6. Let p = m - 6. Let u = p - 5. Which is the closest to 1? (a) 6\/7 (b) u (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -36 - (-202 + 179) - (28 - 1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.87, 0.3 in decreasing order.\nAnswer: 0.87, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 300294885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 398, 2, 0, -2 in decreasing order.\nAnswer: 398, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221.9998926 - 222. Round y to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-243))\/(4\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 711*n + 16. Let x be r(1). Let z = x - 11. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3309983 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -35, -48, -61, -74, -87?\n\"Answer: -13*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 2 l when four letters picked without replacement from {e: 7, s: 4, p: 1, c: 2, l: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f - 3791 + 167891 = -5*f. What is the highest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -17\/35 (c) 6\/7 (d) -59\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 3*q + 23, 12*q - 11*q = -4*o + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k - 11430 = 52*k. Suppose -25 = -5*a, 2*v - 5*a = v - k. What is v rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**2 + v - 2. Let x(p) = p - 8. Let g be x(5). Let i be q(g). Let k = 104 + i. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/144303 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, u: 4, o: 5}. What is prob of picking 4 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 48. Let n = 0.3 + 0.2. What is the third biggest value in 2\/7, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-7 + 2)*-1. Let u = 42 + z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 302 (c) 4\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 - 43*m**2 - 2612*m\/5 + 2828\/5.\nAnswer: -(m - 1)*(m + 14)*(m + 202)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + 6*k - 2. Let x be p(-3). Suppose i - 2*s = 10, 4 = -5*s - x. Let g(z) = 4*z**i - 46 - 6*z - 3*z**2 + 44. What is g(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 2 - (-3)\/(-3). Suppose -5*x + 3*x = 4*t - 6, 5*x - 5 = -5*t. Let j be 21\/(-14)*(x - 1). Do q and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528462 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 3*y - 3*v - v, 5*y + 5 = -5*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2448 divided by -48.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a2 + -23?\nAnswer: 77b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -761\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 163*j + 2394. Calculate the remainder when t(-10) is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 8*p**2 + p - 9. Give w(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2322001 - 10?\nAnswer: 2321331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17 - 13 = 0. Is 219*8\/12 + v\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/4 - 62789*h\/2 - 3942458521\/4 = 0.\nAnswer: -62789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Suppose 0*k = x*k - 249. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + (40 - 33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 - 1\/6*h**3 + 0*h + 3*h**2 + 1\/24*h**4. What is j(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 - 11)) + -2 + -57 + (-1937 - -1933)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(209) + sqrt(209))*3*-6)\/(sqrt(11) + 6*(sqrt(44) + sqrt(11)) - -2*sqrt(275)).\nAnswer: 54*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**5\/20 + 3*g**4\/4 + 7*g**3\/6 - 2*g**2 + g - 4. Suppose d = -b - 11, 4*d = 3*b - 2 + 14. Give p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 354*a*r - 464*a wrt r.\nAnswer: 354*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62470191 by -141.\nAnswer: -443051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 28050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2495529 + -0.00228?\nAnswer: -0.2518329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a, -f + 2*f + 5*a + 11 = 0. Suppose f*i - 5*i = -11. Calculate the remainder when 64 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1977782 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/339 - 208\/3051. Which is the closest to 1? (a) -0.01 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.86 + 12. Let y = q - 0.175. Let z = 26988.9 + -26989. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 11*w + 23. Let f = -11 - -6. What are the prime factors of r(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9*h - 2*w + 18, -2*h = 4*w - 20. Solve -4*k + 0*v = 2*v, 4 = -h*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*g + 188*g - 21 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223955 and 2620.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 12. Let o be (-10)\/(1\/p*-1). Suppose k - 8 = -5*z, 5*z = 4*k + 3*z - o. Solve -3*f - 2*u + 12 = 0, -3*u + k + 16 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183523.\nAnswer: 11, 17, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197.06 - -200. Let m = -0.06 - q. Let b = m + 3. Is b >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 57. Let y be r(-18). Let w(a) = -7*a**3 - a**2. Let d(m) = 19*m**3 + 2*m**2 + m. Let x(k) = y*d(k) - 8*w(k). Calculate x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 4:23 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-324)*9)\/(25\/60)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*t - 15, 5*n = -4*t + 224818 - 224798 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4822636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(-19 - -22) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 136 = 2*o - 58, 216*o - 209*o - 196 = 16*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -303?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-6 - -7)\/30. Let o(v) be the third derivative of 0*v + 0 + u*v**5 - 4\/3*v**4 - 3*v**2 + 32\/3*v**3. Factor o(j).\nAnswer: 4*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -89. Let m be 40\/30 + (-2)\/(-3). Suppose 5*k + 12 = -m*l + 41, -2*k - 36 = -d*l. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/4 - -219) + (-3 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:28 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40592*r**4*u - 10*r**3*u + 1227580*u wrt r?\nAnswer: 162368*r**3*u - 30*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151421 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7074336 is divided by 21634.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 4333 = 903. Calculate the lowest common multiple of t and 980.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9260.708 milligrams to micrograms.\nAnswer: 9260708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10110111000010 (base 2) to base 14\nAnswer: 43aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433.2194 plus 54?\nAnswer: -2379.2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttz when three letters picked without replacement from tztttzmtmtmzm.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/5 - 6*w**4\/5 + 12*w**3\/5 + 16*w**2\/5 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 19 (b) 4 (c) -3\/2 (d) 7\/8 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729043?\nAnswer: 7, 104149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55274822 a multiple of 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - 1) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/((r*r*r*r\/(((r**(-3\/7)\/r*r)\/r)\/r))\/r))**(-22)*((r\/r**(1\/9))\/(r\/((r\/r**(-2\/7))\/r)))**(-34) assuming r is positive.\nAnswer: r**(19624\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7516788*1.\nAnswer: -7516788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhnnnnnnhhhannnhh. What is prob of picking 1 n and 1 h?\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 25 = -14*c. Let h(u) = -9*u**3 + u**2 + 2*u + 2. What are the prime factors of h(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/113)\/t)\/t**(-2\/121)*t**17\/t**(-12\/7) assuming t is positive.\nAnswer: t**(1695340\/95711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -1 (c) 35 (d) -153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -0.742\nAnswer: -0.06678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2790.\nAnswer: 1\/2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) -2\/7 (d) -0.5 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let o = y + -2. Let g = -5 - -3. What is the nearest to o in g, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwbfwywmff. What is prob of picking 1 m, 1 w, and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -613 + 20?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a78 (base 11) in base 2?\nAnswer: 10100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264744 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103514 (base 6) to base 9.\nAnswer: 12731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, 2*k - k + 5 = -2*w. Let f(x) = -5*x + 48. Let a be f(7). Suppose -3*s = -10 + a. Sort -7, s, k in increasing order.\nAnswer: -7, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Suppose -4*t + 2*f = -30, -11*f - 10 = -9*f. What is the nearest to k in -0.3, -14, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ekkee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 6. Let u(y) = -2*y - 5. Let k(a) = -5*t(a) + 6*u(a). Let w(b) = 2*b + 5. Let z(c) = 2*c + 6. Let i(r) = -6*w(r) + 5*z(r). Determine i(k(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**4 - 3*l**2 - 7. Let w be (7\/(-3))\/((-3)\/9). Let b(k) = k**2 + 3. Let c(p) = w*b(p) + 3*i(p). Find the third derivative of c(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9386 is divided by 3079.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 284446733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5101*d**2. Let b(f) = 27*f**2 + 73. Give b(n(c)).\nAnswer: 702545427*c**4 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105952426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1020 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/12 - 11*c**3\/6 - 25*c**2\/2 - 888*c. Calculate d(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 5. Let f be u(-6). Let g be f\/((-2)\/1 - -1). Let w = -14.5 - -14. Which is the nearest to g? (a) 1\/2 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 6. Let w be g(5). Suppose d + 30 = -w*d. What is the tens digit of 6*d\/3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**3 + 13*m**2 - 3*m + 45. What is h(6)?\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let r(g) be the first derivative of 0*g + 0*g**2 + 10\/3*g**3 - 9. Determine o(r(b)).\nAnswer: 200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 18. Let d be c(-5). Suppose -3*w + 1272 = -d*w - 4*p, 5*p + 758 = -3*w. Let b = 455 + w. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/60 - o**5\/12 + o**4\/6 - o**3\/2 - 26*o**2. Let y be 15\/6 - (-2)\/4. Give v(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - t + 0*t + 0*t - 1 to u*t + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1687927 and 1057048?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 2*s**2 + 5*s**2 + (-2 + 2*s + 2)*(s - 1 + 1))*(-1378 + 1378 - 85*s).\nAnswer: -850*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 19 - 11. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 9*i + 8 = 0. What are the prime factors of 895 - -6 - i - 3\/(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*z**2 + 131*z + 601797.\nAnswer: 8*z + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/5 - 7*z**3 + 288*z**2\/5 + 324*z\/5 = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 174.8 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 266299537 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -161062.01431 rounded to the nearest integer?\nAnswer: -161062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106172032, 212344062, 318516092, 424688122?\nAnswer: 530860152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**4 + m**3 - m + 1. Let d(f) = -2*f**3 + 3*f - 2. Let k(r) = d(r) + 2*y(r). Find the second derivative of k(z) wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 11*q**2 + 22*q - 36. Let b(g) = 5*g**3 + 46*g**2 - 91*g + 144. Let y(v) = 9*a(v) + 2*b(v). Give y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1282 + -1273. Let i(u) = -3*u**3 - 2*u**2 - u. Let l be i(-1). Suppose -d = l*a - 9 - 3, a + 2*d - x = 0. What is the remainder when 33 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128883.1 + 175.506?\nAnswer: 129058.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -385, -783, -1185, -1591?\n\"Answer: -2*d**2 - 392*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 21 = -f - b, 0 = f - 3*b - 37. What are the prime factors of f\/(-4)*(-8)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-6)\/2 + 57. Let q = -229\/4 + f. What is the second biggest value in q, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -46.8979.\nAnswer: -5.158769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*w + 10637 + 725 = -4530. Solve -12 = -w*k + 113*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**2*u**2 - 51*i**2*u - i**2 - 4*i*u**2 + 3649*i wrt i.\nAnswer: 14*u**2 - 102*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*v + 1116 = -74*v - 116. Let p = 21 + -13. Let t(x) = 0*x**2 + x**2 + p*x - 2 + 0. What is t(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212865516 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:45 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 17*q + 21. Let i be m(7). Let k = i + 63. What is the derivative of -4*g**2 - 15 + 11*g**2 - k*g**3 - 7*g**2 wrt g?\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 807272715 to the power of 1\/2, to the nearest integer?\nAnswer: 28413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39bcd3 - -4?\nAnswer: -39bcce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 183*z - 176*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 400\/21 - 4358\/231. What is the closest to n in 19, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-20)\/(-15) + -2. Let j = 0.9 - 2.9. Let r = 2.4 + j. Which is the second smallest value? (a) 5 (b) r (c) -0.059 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963868?\nAnswer: 2, 240967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/30 + (-9)\/(-27)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 21*z + 360. Let x be r(-17). Let b(o) = 5*o**2 + 3*o - 2. Let h(g) = -11*g**2 - 5*g + 5. Calculate x*h(m) + 7*b(m).\nAnswer: 2*m**2 + 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 519 - 495 - 497 + 1529. Calculate b(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 4 + 4 + 3*t + 2*t + t + (1 - 1 - 2*t)*(3 + 1 - 3).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 42 = -9*r. Suppose -3*x = k + 4, 4*k - 30 = k + 5*x. Suppose s - 6*g - 2 = -k*g, g + 2 = 2*s. Solve s = j + 2 - r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/1375)\/(9\/15)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))*-5*1)\/((sqrt(84)*-1*-2)\/sqrt(7)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-20 - -13 - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1736162 + -406170. Suppose k - 4*a + h = 0, 0*k + 1330006 = -k - 3*a. Round k to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -31 - 5) + -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/6822 and 19\/131378076?\nAnswer: 131378076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5346 + -5350.46. Round a to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.244 - -0.244. Let s = 0.054 + -4.954. Let d = o - s. Which is the third smallest value? (a) -6 (b) d (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 + 12416*c - 149568 = 0.\nAnswer: -3116, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/21*28\/4. Let v(f) = -5*f - 5 - 2*f**y + 4 + 3*f**2. Suppose -4*j + j = -15. Give v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**2 + 47*g**2 + 74*g**2)*(3*g**2 + g**3 - 3*g**2) + 4*g**5 - 3*g**5 + g**5 + (g - 4 + 4)*(-g**4 + 4*g**4 - 2*g**4) - g**5 + 0*g**5 + 3*g**5.\nAnswer: 136*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24332*l = 24321*l + 330 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let a(j) = -7*j + 1. Give a(u(o)).\nAnswer: 14*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 53 - 21 - z - 29. Let o(g) = -4. Let r(m) = -8*i(m) - 6*o(m). Let u(j) = -3*j. Determine u(r(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 97?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 - 4*r**2 + 2*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831576 is divided by 69294.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*t = -232*t - 275. Put t, 0.3, 0, -8\/7, 5 in ascending order.\nAnswer: t, -8\/7, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.008 + 0.192. Which is the third smallest value? (a) -2\/7 (b) r (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + -19) - (34 - 30 - -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -3) + 4 + 2 + 1. Suppose h*a - 49171 = 29252. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))\/a)**(2\/29)\/(a**(2\/7))**(3\/4) assuming a is positive.\nAnswer: a**(-115\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let s(h) be the third derivative of 491*h**5\/60 - 2*h**2 - 199*h - 6. Calculate s(a(n)).\nAnswer: 491*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*b - 14 = 0, 5*y - 3*b - 4 = 59. Suppose -q + 4*c - 3 = y, -4*c + 22 = -3*q. Let x be (q\/1)\/(28\/(-42)). Put x, -4, 4 in descending order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*t**2 - 6 + 6*t**3 + 26*t - 26*t.\nAnswer: 6*t**3 + 63*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:02 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 20. Let f(t) = t**3 - 3*t**2 - 5*t. Calculate f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17 = 5*f - 12, -3*p - 7 = -2*f. Suppose f*g - 50 = -2*r, r + 2*g - 146 = -4*r. Let d = 41 - 25. Calculate the remainder when r is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14*x**3 - 14*x**2 - 17*x - 5. Let q(j) = 5*j**3 + 5*j**2 + 6*j + 2. Let p(b) = -6*d(b) - 17*q(b). Give p(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 13*x**2 - x - 9. Let f be t(-13). Suppose -o + 0*o - 5 = -4*w, -f*w = -3*o + 1. Let i(d) = 4*d - 4. Let g be i(o). Solve -5*z + g = -7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30 and -31\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-3\/13)*((w*w*w**(3\/5))\/w)**(-10\/13) assuming w is positive.\nAnswer: w**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265774607?\nAnswer: 7, 3673, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/180 + d**5\/180 - d**4\/18 - d**3\/6 + 7*d**2. Let n(h) = 0. Calculate h.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 41*d - 131. Is a(12) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.572 - -6.428. What is the smallest value in 3\/8, 0, h, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2612\/15 - 174. Let c = -34.4 - -36.4. What is the closest to v in 3, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 7412 + 1600 = 0. What are the prime factors of p?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 18 + 1)*((5*n**4 - n**4 + n**4)*(1 - n - 1) + 21 - 21 - 6*n**5).\nAnswer: -143*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 195695122 to the power of 1\/2, to the nearest integer?\nAnswer: 13989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 352 + -90\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343277 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63230581?\nAnswer: 211, 299671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/10*(322000\/(-210))\/40?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 11 - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(810) + sqrt(810) + sqrt(810) + 5*3*sqrt(10))\/(sqrt(45)\/(1*sqrt(1296))*4).\nAnswer: 261*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*d + 176 - 1478 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4296*b**2*q**3 + 35*b*q**3 - 7*q**3 wrt b.\nAnswer: -8592*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i**2 + 0*i)*(2*i + 0*i - 4*i) + 4*i**2 + 4*i**3 - 4*i**2 + (0*i**3 + 0*i**3 - 2*i**3)*(-3 + 3 - 2).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 11*l**3 + 28*l**3 - 4*l**3 + 74*l**2 + 89*l**3 to i*l**2 + g + r*l + v*l**3 and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.968 - -0.9681419. Round f to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 26) + 10 + (-9 + 6 - 10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m. Let l(s) = -311501*s. Give l(a(t)).\nAnswer: 623002*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -28182*q**3 - 5*q**2 - 14*q - 10. Is m(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*b - 117 - 3620 = -1234*b for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let o be f(5). Suppose o*z - 7*z + 18 = 0. Let y = -21 + 28. Solve 0 = 3*t - 4*c - 1, 4*c + y = -t + z*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*2*9\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 126 = -5*m, -3*y + y - 74 = -3*m. Suppose 0 = 5*q - m - 18. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60 + 1225?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2, 40 in descending order.\nAnswer: 40, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - u = -15, -4*x - 2*u + 6*u = 0. Solve 5*p + 0 = a + 12, -x*p + 3*a = -12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 53, 107, 197, 335, 533, 803, 1157?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 43466244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 9*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1 + 0*l**4 + 0*l**3 + 0*l - 1\/30*l**5 + 20*l**2. Let q(p) = -63*p. Determine q(g(u)).\nAnswer: 126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 6*r - 14. Suppose 72 = -3*n - l - 0*l, -96 = 4*n - 5*l. Let b be (-1 + 4)*5\/(45\/n). Does 11 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 + 29*g + 3. Let u(a) = 2*a**2 - 28*a - 4. What is -4*r(m) - 3*u(m)?\nAnswer: 6*m**2 - 32*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = 370*t + 48*t - 20250 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and -2111079.\nAnswer: -8866531.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.96 - -0.04. Sort 1\/3, -0.07, i in ascending order.\nAnswer: -0.07, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -363, -469, -645, -891, -1207?\n\"Answer: -35*u**2 - u - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -16, -29, -58, -109, -188?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 322 divided by 539\nAnswer: 46\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 24 = 0, -7*b - 4*c = -2*b + 18 + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 35905860*h**2.\nAnswer: 3*h**2*(h - 11968620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13572\/1638 + 3\/(63\/(-6)))\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98\/3? (a) -0.098 (b) 127 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 523537245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 6*m. Suppose -5*l + y + 1393 = m, 1599 - 481 = 4*l - 2*y. Let j = l + -87. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -18, -20 in ascending order.\nAnswer: -20, -18, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y + j - 28, -22 = -y - 4*j. Calculate the lowest common multiple of y and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lammzcw. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 3. What is the closest to -1 in -3, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41.6 and 87005.\nAnswer: -3619408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 30. Let r(g) = -g**2 - 2*g - 3. Let o be r(-2). Let i be x\/20 + o\/5. Solve -c + i*a = -10, -1 = -c - a - 0*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyfyf. Give prob of picking 3 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 22 = -14*t + 70*k - 50, 2*t + 5*k - 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 16*f. Let s(q) be the first derivative of 3*q**2\/2 - q - 88. Let g(o) = -o**2 + 18*o - 6. Let n(x) = g(x) - 6*s(x). Determine j(n(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*n = 32*n + 28811 + 28542. Is n equal to 691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -1. Suppose -14 = -2*s + l. Suppose 3*i + i - 142 = 2*h, -h + 31 = i. Calculate the remainder when i is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3 - 28. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376287850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38941 - -6786. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -63552 divided by 8178\nAnswer: -10592\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(208) + 1) + sqrt(208)*2*-2).\nAnswer: -60*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = u + 2, -4*z = -5*u - 5 - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/84 or -3231\/40?\nAnswer: -3231\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106 divided by -78?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1959, -1\/3, -8, -0.3, 1, -6, 7.\nAnswer: -8, -6, -1\/3, -0.3, 1, 7, 1959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 4*q + 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + 14. Let m = -72.9804 + n. What is m rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104026 + 43385. Let k = -60641.76118 - z. Let l = 0.76 + k. Round l to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 3*n**2 - 9*n - 25. Is d(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/9 - 126438860*k\/9 + 1998348164762450\/9 = 0.\nAnswer: 31609715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggkgggk. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**3 + 6*n**2 - 117*n + 14. What is l(6)?\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 9*h - 4. Let o(z) = 2*z**2 - 8*z + 4. Let p(t) = 3*m(t) + 4*o(t). Let r be p(-5). Solve -g - 11 = -5*f, -r*g + 1 = -f - 7*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 464, 930, 1396, 1862?\n\"Answer: 466*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**2 - 14*p**2 - 8*p**2 + (-2*p + 2*p + p)*(-4*p + 2*p + 0*p))*(3 - 5 + 0) to the form v*p + s + m*p**2 and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69068998523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 1260*g + 3 - 7.\nAnswer: -1260*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d - 5. Let x(c) = -c**2. Calculate g(x(b)).\nAnswer: 10*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10920824 is divided by 2966?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/239591 and 9\/43562.\nAnswer: 479182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 2*j**2 - 4*j - 3. Suppose -4*m + 4 = -3*m. Let p be r(m). What is the highest common divisor of 26 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 16560?\nAnswer: 182160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from 0.78319.\nAnswer: -40.21681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(0*g - 4*g + 6*g) + (-2*g + 0*g + 0*g)*(1 + 2 - 5) + 0 + 0 - 2*g - 3 + 3 + g - 3582*g - 908 + 908.\nAnswer: -3583*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-415772)\/(-50295))\/((-4)\/30)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 36*n + 5 - 5 - 12*n - 3*n**3.\nAnswer: -2*n**3 + 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w + 135. Suppose -4*y + 50 = 3*j, 8*j - y = 3*j + 114. Let b be z(j). Suppose 3*p - 18 = -0*p. What is the highest common factor of p and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2 + 6, -4*i = r - 2. Let v be (2\/3)\/((-8)\/(-36)). Suppose i = -h + v. Solve -c + h = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 28504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33956?\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**8\/144 - l**7\/315 + 7*l**6\/30 - 22*l**5\/45 - 4*l**4\/9 - l**2 + 243. Suppose m(o) = 0. What is o?\nAnswer: -4, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49.08 + -46. Let r = -0.02 - j. Round r to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22421, 179873, 607363, 1439909, 2812529, 4860241, 7718063, 11521013?\nAnswer: 16404109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4600 and 91\/240.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, y: 1, s: 3, w: 1}. Give prob of sequence wy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**4\/2 + 71*v**3 - 518*v**2 + 196*v = 0?\nAnswer: 0, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + 3*x**3 - x**3)*(-21*x**2 - 78*x**2 + 22*x**2) + (3*x**2 - 6*x**2 + 2*x**2)*(6*x**3 - 7*x**3 - 2*x**3).\nAnswer: -459*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)*o**(-2\/15)*o*o*o**4\/o*o*o\/(o\/(o*(o**(-2\/29)*o*o)\/o))*o assuming o is positive.\nAnswer: o**(25919\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**6\/60 - 17*y**5\/8 + 7*y**4\/2 - 9763*y. Determine t, given that o(t) = 0.\nAnswer: 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 564696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 8. Let m be z(1). Let g be m\/6*1*(-2 + -13). Solve -10 = -3*c + g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -35. Let b = l + -32. Put -1\/6, 1\/5, b in descending order.\nAnswer: b, 1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24172.5382 rounded to the nearest integer?\nAnswer: 24173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3\/7 + 2292*p**2\/7 + 11560*p\/7 = 0.\nAnswer: -5, 0, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 2, -16, 113, -7 in increasing order.\nAnswer: -16, -12, -7, 2, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 1\/3, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -1.16, 9\/2, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 9, h: 3, d: 5}. Give prob of sequence hw.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 384 - 354. Solve -y + 4*m + 0*m - 25 = 0, -y - o = -5*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 - 4*i - 26. Let c(z) = 2*z**3 + 15*z**2 + 10*z + 54. Let p(b) = -2*c(b) - 5*v(b). What is p(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/3 + 24*y + 78 = 0. What is y?\nAnswer: -3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 618*h - 475. Give x(-4).\nAnswer: -2947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-23)\/2)\/(7\/56). Let n = u - -135. Let k = n - 31. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 14*y + 0*y - 12*y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -5. Let o be -2 + 3*(-3)\/j. Calculate the remainder when -1 - o\/((-2)\/(-10)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - 176*p**2 + 190*p - 1397. Give c(87).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from {s: 2, b: 5, r: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + 1. Is 1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 10*n + 123. Calculate z(20).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -191*t. Let c(r) = 2*r**2. Determine c(h(u)).\nAnswer: 72962*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3429 and 999363.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206270, 206335, 206402, 206471, 206542?\n\"Answer: u**2 + 62*u + 206207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6*54 + -3. Suppose h = -h + t. What is the least common multiple of 20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 43 - 13 = 10. Calculate the remainder when 624 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**0*t*t*t*t)**26*t*t\/((t*t*t**(2\/3)\/t*t*t)\/t)*t**(1\/11))**(-22) assuming t is positive.\nAnswer: t**(-10258\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24793869 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72.115 and -70794.\nAnswer: -70866.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5 - 36*s**4 - 76*s**3 - 12*s**2 + 80*s + 48 = 0 for s.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 556*d - 45. Let t be u(-11). Is (8\/12)\/(-2)*(t - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1 (c) -15 (d) -7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35.2 - -35. What is the third biggest value in -22, 1\/3, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -120.7. Let x = p - -6. Which is the third smallest value? (a) x (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119849338 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4493141 or -4493142?\nAnswer: -4493142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -2*n + 0 - 1\/6*n**3 + n**2. Suppose -4*g + 8 = -2*g. Calculate j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = 75*s + 62*s + 20*s. Sort 1, 5, 2, 17, s in descending order.\nAnswer: 17, 5, s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 6*x**2 + 4. Calculate g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 585 - 45 = 0. What is the highest common factor of 378 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (36\/(-18) + -28) - -21)\/(2 + -1).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39492.5 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000075891 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -285? (a) 5 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:58 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.031 - -21.769. Let x = b + -21.6792. Round x to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2*-0.76.\nAnswer: 3.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9206, 9235, 9272, 9317?\nAnswer: 9370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 696198.5 tonnes?\nAnswer: 696198500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 10. Let o be h(0). Let w = 11 - o. Suppose 5*j + v - 15 = -v, -2*j + 6 = 4*v. Solve j = -n - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 32. Does 50 divide (-6)\/(-14) + 20964\/84 + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 - 2*v + 4. Is 16 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1192 and 1937.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*o - 0 - 2, p - 1 = -o. Solve 9 = -o*h - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23166982 divided by -2.\nAnswer: 11583491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.86 - 0.36. Let p be (-1 - -1)*(-2)\/4. Let n = -2730\/11 + 248. Which is the nearest to p? (a) n (b) 2\/17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 55*y + 5. Let q be w(-21). Let p = q + -683. Solve -9*i + 0*i = p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one halves of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/2 + 10835*w**3\/2 - 266470*w**2 + 2046990*w + 8685432 = 0?\nAnswer: -10884, -3, 14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156316\/39 - -21564\/13. Let a = c + 2349. Let b = -1.29 - 0.11. What is the closest to b in -1\/6, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6962273 is divided by 94?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-21)\/3)\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2) + 5\/(-2))\/((-3)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35520 and 2290485.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1313 (base 4) to base 12\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 11*s**3\/6 - 43*s**2\/2 - s. What is the tens digit of i(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = -4*x - 27260. Let s be (1\/(-4))\/(47\/x). Solve -5*h = -4*c - s, 5*c + 5*h - 2*h - 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i**2)*(3*i - i - 3*i)*(-i + 4*i - i) + (-10*i + 5*i**2 + 10*i)*(-3 + 3 - 3*i**2).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmh when three letters picked without replacement from hmhmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 21, -1 in ascending order.\nAnswer: -1, 1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:04 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 154*s + 156.\nAnswer: -2*(s - 1)*(s + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6948*s - 6898*s + 20733*s - 6902*s + 1.\nAnswer: -15*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -6680.\nAnswer: -13\/1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051290261 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1427330811 + -5.\nAnswer: -4.8572669189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138288 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.2 (c) -14.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7150524600 rounded to the nearest 1000000?\nAnswer: -7151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*l*w + 920*a*w + 131*l*w - 10*w wrt a?\nAnswer: 2*l*w + 920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 19, -1\/10, 3, 2, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67, 775, 2147, 4195, 6931, 10367?\n\"Answer: 2*z**3 + 320*z**2 - 266*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:24 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/60 + 16*x**5\/15 + 95*x**4\/4 + 150*x**3 - 3258*x**2. Solve c(b) = 0 for b.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 1:33 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58.212 - -0.788. Sort 1\/12, t, -0.5 in decreasing order.\nAnswer: t, 1\/12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.007 or 275\/3?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 37*f**2 + f - 14*f**2 - 24*f**2 + 3*f - 2. Let u(i) = i - 1. Suppose -2 = -5*m + x + 11, 6 = 3*x. Let w(o) = m*y(o) - 6*u(o). Factor w(d).\nAnswer: -3*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6624550 to the power of 1\/2, to the nearest integer?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -318 - -319.79. Let u = a + -1.78871. Round u to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6316.7 times 35\nAnswer: 221084.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 3*m + 9*m)*(m + m - 3*m) - 46*m**2 + 28*m**2 + 32*m**2 to d*m + j*m**2 + g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1801*q**3\/7 + 77868038*q**2\/7 - 841675687596*q\/7 + 934675848\/7.\nAnswer: -(q - 21618)**2*(1801*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156)*-3*6 + sqrt(156) + sqrt(156))))\/(sqrt(432) - (2*sqrt(432) + sqrt(432) - sqrt(432))))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*r = 35911830, -r = -5*b + 4*r + 35911830. Let w = 2782366 - b. Round w to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7*b + 3*b - 28, 14 = 2*k - 3*b. Suppose 11 = h + k*a, 0 = -h - 2*a - 1 + 6. Let f = 155 + -623\/4. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-192) - 6\/(-4))*10\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*g**3)*(1095 - 230*g**2 - 1095) - 2*g**2 - g**2 - 2*g**5 + 4*g**2.\nAnswer: 688*g**5 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4347 - -1?\nAnswer: 4348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1001, 0, -2, -21, 4, 5 in increasing order.\nAnswer: -21, -2, 0, 4, 5, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l = -21. Let y be (l\/(7\/(-2)))\/(-4). What is the biggest value in 0.1, -2\/7, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*v = 5910*v - 302806 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4784 and 13984.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -843 + 845. Solve 7 = -4*w - x, -5*x = -w - b*x + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 153 = -5*y + 6*y, 5*y = 2*k + 159. Let s = k + 81. What is the smallest value in s, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55716*j = -55969*j - 19228 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4029*o - 241. Let s(p) = p**2. Determine u(s(j)).\nAnswer: 4029*j**2 - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*d = -40, -q + 5*d + 231 = 235. Let r(n) = -11*n. Let k be r(2). Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51919 by 1.\nAnswer: -51919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 25*y - 53*y + 5*v = 10, 0 = -y + 3*v - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15617)\/2037 + 1\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h + 242. Give j(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -326364419*l - 170319743 wrt l.\nAnswer: -326364419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/15 (b) 890 (c) 5 (d) 3\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-2\/33)*(k**(-1))**(1\/4) assuming k is positive.\nAnswer: k**(-107\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17043672 and 141336?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (235\/(-705))\/((-1)\/45)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.327\nAnswer: 0.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 365, 133, -251, -787, -1475, -2315, -3307?\n\"Answer: -76*m**2 - 4*m + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 6, m: 1, j: 4, o: 7}. Give prob of sequence joj.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 870012929\/238 - 3655566. Let n = 1\/119 - j. What is the common denominator of -43\/5 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15 + (2772\/(-35))\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13940 and 5.\nAnswer: 13940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7601*y - 9500*y - 8782*y - 523*y + 4231*y.\nAnswer: -22175*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5. Let q = -6.34 - -6. Let d = q - 0.06. What is the nearest to 1\/2 in n, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 4*g**3 + 2*g**3)*((4*g - 3*g - 2*g)*(0 - 2*g + 0) + 11*g**2 + g - g - 5*g**2 + 5*g**2 - g**2).\nAnswer: 36*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -191, -646, -1533, -2996, -5179, -8226, -12281?\nAnswer: -17488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**3 + 6549*m**2 + 2899653*m - 2906205 = 0.\nAnswer: -1565, -619, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*o**2 - 158*o**2 - 154*o**2 - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*w**5 + 118*w**4 - 148*w**3 + 42*w**2 = 0. What is w?\nAnswer: -7, 0, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 12*k - 27. Calculate j(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1558 = -392. Suppose -5*c - k = -1133. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 26*v + 150. Let k(f) = -4*f**2. Give k(c(z)).\nAnswer: -2704*z**2 - 31200*z - 90000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2556 = 5231*h - 5302*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (13 + -2 - (-8 - -20))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 81*m**2 - 71*m - 900. What is y(82)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-6) - 3\/(-6). Let s be (3\/4)\/((-1)\/p). Solve s*c - 12 = 0, 17 = -a + 2*c + 3*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4\/7 + 1582648*y**3\/7 - 156564243440*y**2\/7 + 3130618609352*y\/7 + 469597776492 = 0.\nAnswer: -1, 21, 197821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 43*o. Let z(m) = -4854*m + 4852*m + 0 + 0. Determine b(z(f)).\nAnswer: -12*f**2 + 86*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3071*w**5 - 5170*w - 323*w - 421*w**5 wrt w?\nAnswer: 53000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.297 and -76.\nAnswer: -75.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-72)\/(-1008))\/(2\/(-32)). Let z = 0.9 - 1.9. Let w = z - -3. Sort 0.2, m, -5, w in increasing order.\nAnswer: -5, m, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7380, -7419, -7480, -7569, -7692, -7855, -8064, -8325?\n\"Answer: -p**3 - 5*p**2 - 17*p - 7357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 2*j)*(-1 + 1 - 6)*(3 - 3 - 3*j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1\/6*l**5 - 1\/40*l**6 - 4*l**3 + 62*l**2 + 0*l + 1\/12*l**4 + 0. What is the second derivative of g(c) wrt c?\nAnswer: -18*c - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 209 + 79. What is the highest common divisor of o and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414922 is divided by 583.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-4\/11))**(-4\/13) assuming u is positive.\nAnswer: u**(-72\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 11*l + l + 16 = 8*l, 10*o + 12 = -3*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 98*q**2 - 377*q - 129. Let y be a(-94). Sort 3, -1, 5, -3, y in increasing order.\nAnswer: y, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22806781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 - v**2 + 8*v - 10. Let t be k(-5). Let i(b) = -277 - 275 + 2*b + t. Let o(q) = -2*q. Determine o(i(j)).\nAnswer: -4*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 2*b**2 + 0*b**2 + b**2 - 1 - 1 to the form u + s*b**3 + c*b + y*b**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80706 is divided by 7336?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = u + 4*u. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r + 59*r - 8 = y, -11*r - 4*y + 18 = -6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 21*z**2 + 41*z - 49. Let o be t(-18). Suppose 4445 = -178*p + o*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 13. Let x = a + 16. Let f be (-2)\/6 - 14\/(-60). Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*d - 20, 36808*d = 4*j + 36812*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 49720.\nAnswer: -1\/12430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002895 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 + 4.6. Let i = 14\/5 - 52\/15. What is the closest to i in 0.3, q, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = 4*a. Let q(k) = -4*k + a + k + k + 10*k**2 + 4*k. What are the prime factors of q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 161.03, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*((-1*sqrt(162) + 4)**2 + -1)*5.\nAnswer: -21240 + 8640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + 0 + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*r - 77 - 700*r + 106 + 83.\nAnswer: -1019*r + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997126 divided by 5134?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/270 and -133\/1662.\nAnswer: 74790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74cc4 - -1a4?\nAnswer: 75198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 + u - 7. Let i(v) = -2*v**3 + 226*v**2 - 1336*v + 1112. Let r(p) = i(p) + 8*n(p). What is l in r(l) = 0?\nAnswer: 1, 4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (40 + -39 + -8 - (0 + -19))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:27 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -20 + 2*x + 3*x - 2*x. Let v be j(8). Solve v = -3*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let i(n) = -3*n - 11. Calculate k(i(q)).\nAnswer: -18*q**2 - 132*q - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 54023, 1, 0.\nAnswer: 0, 1, 3, 54023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9143172?\nAnswer: 2, 3, 84659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 216, 430, 644?\n\"Answer: 214*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, e: 1, i: 4}. Give prob of picking 1 d and 1 i.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14096\/94 + (-1549350)\/10329?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1111010011110110011011 (base 2) to base 14\nAnswer: 7668c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o + 0*o**2 - o**7 + 0*o**5 + 0*o**6 + 13 + 0*o**4 - 4\/3*o**3. Find the third derivative of i(p) wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 15*k - 495. Calculate the remainder when 313 is divided by k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10795 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5, 4\/7, -15\/467, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8204559 and -22\/9?\nAnswer: 24613677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76697460 divided by -75564.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184184*p**3 - 368363*p**3 + 184180*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1235.3 + -1235.1. Which is the nearest to -3.1? (a) 1 (b) 2\/33 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 - 61*r - 7. Let z be a(-19). Let u = z + 1422. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -108157, -20\/9, -0.03 in ascending order.\nAnswer: -108157, -20\/9, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -50 + 2 + 2 + -6. Let g = l - -74. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222644 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 438 = 74*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m - 7. Let y be v(8). Let a = y - 45. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 - 2*j**5\/15 + j**4\/4 + 7*j**3\/3 - 37*j**2. Let k be t(7). Is 11 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -837 + 837. Solve n = 16*t - 15*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*u = -6. Let m be 4\/(-6) - -1*(-25)\/(-15). Let y be (-1)\/(-2) + m\/2 + 3. Let n(w) = -2*w**2 + 2*w. Let c(j) = -j**2 + j. Give u*n(l) + y*c(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*w = 158, 6*w - 3*w = -4*k + 114. Let q = k - 11. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 11*r = 3*t - 44, 3*t = -r + 74. What is the remainder when 113 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*r + 1. Let f be 1 - 1 - (r + 7). Let m be (-7)\/(-3) + 1\/f. Solve m*c = -c - 4*k - 8, 10 = 4*c - 5*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5735.3714 to the nearest ten.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -39228?\nAnswer: 39223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 19 + 13 + 3*t - 2*t - 9.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1027.8 - -1045.8. What is the closest to 0.1 in v, -3, -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 16, 2*b + 0*b + 6 = u. Let q(t) = -12*t**3 + t**2 + 2*t + 2. List the prime factors of q(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 11) to base 13.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492233065.\nAnswer: 5, 197, 499729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*4\/(-12)*2. Let t be (-15)\/(-9) - (-4)\/12. Suppose -c - 1 = 0, 4*f - t*c - c = 27. Solve 20 = f*r - v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -410, 1\/4, -14, 4 in decreasing order.\nAnswer: 4, 1\/4, -14, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4850.246 rounded to the nearest integer?\nAnswer: -4850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:08 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 + 20 = g, -5*g - n = -33. Let l be (-1)\/((-5)\/280)*3\/g. Let t = 89 + -61. Is l at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*t**2 - 4*n**3 + 5*n**2*t**2 - n*t**2 - 19*n*t + t**2 wrt n?\nAnswer: -12*n*t**2 - 24*n + 10*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8358934 + -7.\nAnswer: -8358941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-8) - 3*(-6)\/(-72). Suppose 4*w + 280 = 9*w + t*u, 44 = w + 5*u. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 2*h + 2. Suppose 4*l + 5 = -3*k, -3*k - k = -20. Let s be (l\/20)\/((-2)\/8). Let d be n(s). Let f(r) = r**3 - 6*r**2 + 5*r. Calculate f(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.5. Let z = c + 0. Let d = 737\/4 - 184. Put 0.1, d, z in descending order.\nAnswer: z, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 5 (b) 0.3 (c) 6\/71 (d) -0.3 (e) 21 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 3*u - 15, -115*u + 61*u - 25 = -59*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -31. What are the prime factors of 25 - (3 + -3 + g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.1, -347, -3?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1 - 11 - 2*t - 2*t. Suppose 0 = -67*h + 73*h - 12. What is the least common multiple of d(-8) and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-120)\/(-42)*(-98)\/(-108) and -143\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:56 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 14430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 397.8103 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 4*j - 15, 6 = 4*v + 2*j. Suppose 0 = 3*c + 93 - 24. Let r = c - -23. Solve r = v*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2246, -241, 23 in descending order.\nAnswer: 2246, 23, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 15) to base 6\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1803 + -1526?\nAnswer: -3430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = -5*g, 22 = -4*g + 2*y + 3*y. Let v be g\/12 + (-31)\/4. Let o(f) = -f - 6. What is the smallest common multiple of o(v) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7498, -7500, -7502, -7504, -7506?\n\"Answer: -2*m - 7496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -296, -656, -1158, -1802?\nAnswer: -2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6812 - 13*n - 13621 + 6813.\nAnswer: -13*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/g*g*g**(-2\/17)*(g*g\/(g*g\/((g*g*g**(-1))\/g)))**(-47))\/(g*g**(-4\/3)*g*g**1*(g**(-1))**(1\/2)) assuming g is positive.\nAnswer: g**(-539\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 3*l + 0*l = 1925. Calculate the greatest common divisor of l and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/16 + 22\/24. Let s = 3 - 5. Which is the third smallest value? (a) s (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (-1)\/(17\/(-2)) - 735\/(-255).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, -2, 215, 4, 3.\nAnswer: -2, -1, 3, 4, 32, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195260 = 3296*x - 4092 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*m = 3*m - 21519 + 21484, 7*m - 49 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(1 + 8 - 5)*(2*p - 6*p + 2*p)*(p - p + p) as v + s*p**2 + q*p and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 12 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -0.0548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:08 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 81, 79, 77?\n\"Answer: -2*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -502*n**2 - 53864*n - 16044. Determine o(-107).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006934 to 4 dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - t - 2, -2*y - 145*t + 140*t = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*f = -f - 8, 12 = 4*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/36 + 1015\/30. Find the third derivative of -129*f**2 - 108*f**2 + h*f - 21*f - 244*f**5 - 13*f wrt f.\nAnswer: -14640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13146.\nAnswer: 2, 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/4862586 and 20\/153?\nAnswer: 247991886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1612\/9 or -1?\nAnswer: -1612\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 32 in decreasing order.\nAnswer: 32, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 - c**3 + 5.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*i**3 + 84*i**2 + 27*i - 84.\nAnswer: -3*(i - 1)*(i + 1)*(9*i - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 491 - 363 = 0. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 9) + 64 + -57?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3116, 2\/13, 3, 72 in ascending order.\nAnswer: -3116, 2\/13, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, e: 2, j: 3}. Give prob of sequence ke.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*m = -40, -6*f - 2*m + 94 = -2*f. Suppose f = 5*l - 0*l. Solve -n = -6*n - l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -24*(0 + (-116)\/12 + 5). Calculate the greatest common factor of 32 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:48 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**4 + 30*g**3 - 140*g**2 - 30*g + 135 = 0.\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.5629 - 1.3097827\nAnswer: -3.8726827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - o**2 + 3*o**2 + 5*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 326409884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*w + 60 = -7*w, -l - 7401*w + 40 = -7404*w for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 881698035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 1. Let p(k) = -6*k**2 - 4*k + 6. What is -3*p(n) + 14*u(n)?\nAnswer: 4*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9.07. Let q = t - -0.03. Let p be 8\/32 + ((-27)\/12)\/(-9). Which is the closest to p? (a) -0.4 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 5*i**3 + 5*i**3 + 0 + i**3 + 0 + (-1 - 1 + 0)*(2*i**3 + 3*i**2 - 3*i**2) + 3*i**3 - i**3 - i**3 + 0*i**3 - 2*i**3 + 0*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 - ((-63)\/(-18) + 2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -26*x + 4. Suppose -8 + 0 = -t. Solve 0 = o - 5*o - x, 2*o = -3*b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1140, 9759, 24130, 44259, 70152, 101815?\n\"Answer: o**3 + 2870*o**2 + 2*o - 1733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.9 - -45. Round u to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 50 - 5*r - 2*r + 3*r - 6*r + 7*r. Let z be v(15). Solve -4*o + 17 - z = 4*u, -17 = u - 3*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.06 - 0.06. Let k = -14 + 17. What is the closest to s in 1, k, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 6*p**2 + 0*p**3 + 2 + 2*p - 4 - p**3. Let a be n(5). What is the highest common divisor of a and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 10. Let v be j(7). Let x be 0*(16\/6 + v). Put x, -1, -3 in decreasing order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 33*x - 127. What is the least common multiple of p(9) and 190?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 11*c**2 + 19*c + 8 = 0?\nAnswer: -1, -8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y + 2. Give p(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(104)\/sqrt(2) + 2 - (-5 + sqrt(208) - (sqrt(52) - (sqrt(312)\/(sqrt(24)\/sqrt(4)) + sqrt(52)))))**2.\nAnswer: 56*sqrt(13) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -374*z - 19 - 5*z + 22 + 13*z in the form n + o*z and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let a(y) = -y**3 + 4*y**2 - y - 5. Let g be a(3). Let q(j) = 1 + 10*j + 0*j - g. What is x(q(c))?\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -65 times -0.4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 2. Let g(a) = -4*a + 3. Let j(o) = -4*g(o) - 3*w(o). Let u be ((-14)\/(-2))\/((-84)\/(-72)). Calculate j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 g when three letters picked without replacement from jjtkggtttkkgjttkgtt?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-18) + 266244\/594.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.5, 0.4, 2\/15, -0.4, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + -24147?\nAnswer: -24116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 474*b**4 + 4*b - b**2 + 6*b**3 + 3 - 477*b**4 + 10*b**3 - 15*b**3 to the form c*b**3 + y*b**2 + m*b**4 + l*b + j and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/4)*k)**(48\/5)\/(k**(-1\/5)\/k*k\/(k*k**(1\/4)))*(k**(2\/7))**24\/(k**(1\/4))**(2\/11) assuming k is positive.\nAnswer: k**(45987\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 6*a**2 + 6*a - 2. Suppose 3 = -2*w + 7. Suppose -2*c = y + 9, -11 = 3*c + 6*y - w*y. Give s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14477, -3382 in increasing order.\nAnswer: -14477, -3382, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 + o**2\/2 + 6*o. What is s(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 17 - 7. What is the least common multiple of l and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 37 = -35. Suppose -22*h + 400 = -b*h. Calculate the highest common factor of h and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3612 divided by 903.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84340*u + 148203*u + 133774*u.\nAnswer: 197637*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 7*i - 28*i = 29*i + 3337 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 18*p - 80. Let m = -175 - -190. Calculate the smallest common multiple of h(m) and 18.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - s - 1. Let w be r(0). Let a be 14 + 0 - (-1 + w). Let v = 35 - a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0 - 1\/120*o**5 + 0*o**4 - 11\/360*o**6 + 0*o**2 + 14*o - 11\/2*o**3. Let d(n) be the second derivative of t(n). What is d(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 13 - 9*f + 17*f + 1. Determine s(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (38 + 2\/(-2)). Calculate the remainder when 4\/q - (-414)\/51 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 896.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -31233, 0, 2\/9, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-3 - 2*-1). Suppose 6*p = 2*p. Suppose p = 5*v - 2*v + 5*l + 10, 0 = 2*v + 3*l + 7. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414 - -10032?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/(-16)*(-5 - -2). Let g(l) be the second derivative of z*l + 0*l**2 + 0*l**3 + 0 + 1\/4*l**4. Let h(t) = -4*t. What is h(g(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 = -5*q, -4*q - 2*z - 10 = -6*q. Let s be ((-6)\/2 - 0) + q - 4. What is the units digit of (-2)\/((-12)\/(-18)) - (s - 50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhhrfhhqhhhhbhhreb. Give prob of picking 1 h and 1 r.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 7, 5, -2, 0 in decreasing order.\nAnswer: 7, 5, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, a: 5}. Give prob of picking 2 a.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:52 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17027649.\nAnswer: 3, 31, 61031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 1114233?\nAnswer: 1114303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - g - 6. Let j(n) = 2*n**2 + n + 1. Let t(f) = -2*j(f) - 3*z(f). What is t(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 2. Suppose 4*i = j + 5, 4*j + 2*i = -0*j + 16. Let h = j + -12. Let o(c) = -8*c + 8. Give h*l(g) + 2*o(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1360 and -103126398326.\nAnswer: -103126396966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pupupupppuupppuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + -10 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ememdnddeevee. What is prob of sequence mdd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 3\/4 (c) 1\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8917 + 9038. What is the remainder when 212 is divided by s?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73.37 + 1.37. Let k = 1.551752 + -73.551422. Let w = k - q. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1182496.25 and -2326.\nAnswer: -1184822.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40059, -80116, -120169, -160218?\n\"Answer: 2*r**2 - 40063*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-4)*(-2)\/4*(16 - 18). Factor 0*v**r - 1\/4 + 3\/8*v - 1\/8*v**3.\nAnswer: -(v - 1)**2*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 641*a**2*g**3 - 304*a**2*g**2 - a*g**3 - 22*a*g**2 - 4*g**3 - 3*g wrt g.\nAnswer: 3846*a**2 - 6*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716137305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158090 or -790448\/5?\nAnswer: -790448\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 220586591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48270.54 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 + 7*g + 8. Let q(h) = 3*h + 2. Let r be q(-3). Let w be d(r). Let s be (-66)\/(-297) + (-88)\/234. Sort s, -2, 1, w.\nAnswer: -2, s, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12206 + 4?\nAnswer: -12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -4*p. Solve -n - 35 = -5*x - 6*n, n = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*k - 6. Let g be 8\/6*9\/k. Let y = 9 + g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 + 860*b**3 - 50052*b**2 - 6879132*b - 150396480 = 0. Calculate b.\nAnswer: -240, -39, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/3 and -14\/21423.\nAnswer: 21423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Suppose i = -9*o + 12*o - 258. Let c = o - 54. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115\/141 + -7\/47. Let s(b) = b + 1. Let z be s(0). What is the closest to h in -0.2, -2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200121 is divided by 918?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1 + (-34)\/(-16) - 2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - (-10)\/300*-2535?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -23541*b - 2. Let s(w) = -22*w. Calculate x(s(i)).\nAnswer: 517902*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnsssnsnnnn. What is prob of sequence nnn?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332756 and 542758?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + 3a443?\nAnswer: 3a423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -2)\/(4\/222). Let f = h + -49. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 31*m**2 - 5*m + 6. Let p be v(-6). What is the highest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043199047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2540, 14, -47 in decreasing order.\nAnswer: 2540, 22, 14, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 142\/36 - 4 - (-6)\/27. Which is greater: -3.7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.877 + 0.077. Let u = 63.8 + r. Let s = u + -36. Which is bigger: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24198 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 69063?\nAnswer: -69063.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 12. Suppose 0 = -3*m - 510 + 495. Let w be 1*3 - (y + m). Solve -q + w*q - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32720)\/(-348) + -91 - (2 - -1).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1302 and 0.852.\nAnswer: -1301.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 89*m**2 + 132*m + 128. Give n(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2411*z**4 + 6*z**3 + 85*z**2 + 700*z + 1?\nAnswer: -57864*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.45 + -1.4. Let z = -0.15 + c. What is the closest to 1 in -0.5, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2. Let n(l) = -2*l + 14. What is h(n(f))?\nAnswer: 36*f**2 - 504*f + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5 + -1 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*f - 0*f + 4*y, 4*y + 86 = -3*f. Let c be (-33)\/f*8\/(-6). What is the tens digit of (-68)\/5*5\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:03 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147297 and 40552?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7508104 to the nearest integer?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - -148. Is 57 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-17)*j)*j)\/j**(3\/13))\/(j\/((j**(-2\/3)*j)\/j*j))**(-13))**(2\/79) assuming j is positive.\nAnswer: j**(-668\/3081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -25*q**2. Let j(m) = 8*m**2 - 346*m + 2. Determine j(v(z)).\nAnswer: 5000*z**4 + 8650*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -3\/4 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let k(l) = -3*l - 2. Let c(d) = -4*k(d) + 14*v(d). Let u be c(-5). Is u >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - 7 + 3*w - w - 3*w. Let o(j) = 7*j - 14. Let k(y) = -11*c(y) + 6*o(y). Calculate k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 1. Let z(q) = 4*q + 2. Let l(d) = 2*d - 24. Let y be l(11). Calculate y*g(w) + z(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-45))\/((-1156)\/51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/((-2)\/1460). Calculate the common denominator of -115\/18 and 2 + (x\/(-8))\/5.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - 57*u + 4*u**3 + 42*u)*(-9*u + 6*u - 3*u)*(0*u - 3*u + u).\nAnswer: 24*u**5 - 180*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3*x - 2. Let n be d(4). Suppose 0 = -4*r + 115 - 359. Let i = r - -67. Calculate the highest common factor of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311*y + 1 - 68*y + 826*y**2 + 2064*y**2 + 2350*y wrt y?\nAnswer: 5780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.17 + -0.17. Sort 0.1, 2\/5, s in decreasing order.\nAnswer: s, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15474 = -4*s - h - 154, -2*h + 3823 = s. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 291 = -3*q. Suppose -14*y - 1960 = -88*y + 34*y. What is the remainder when q is divided by y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let d(r) = 5*r**2 + 3*r + 543. Let o(a) = -a**2 - a. Let q(v) = -d(v) - 3*o(v). Calculate q(k(y)).\nAnswer: -2*y**4 - 543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 25 = 3*f. Suppose -5*l + 5 = -f. Solve l*q - 5*h = -h + 22, 0 = 5*q - 3*h - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*q**2 - 5396972*q\/13 + 8928\/13.\nAnswer: -2*(q + 2232)*(1209*q - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5251.\nAnswer: 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15031\/4 - -3731. Let w = 27 + h. Let n = 0 + 0. What is the closest to w in -0.2, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406209 to the power of 1\/2, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.2. Let i(g) = 40*g + 18. Let a be i(-10). Let h = 382 + a. Sort x, h, 0.5 in descending order.\nAnswer: 0.5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327387579788 less than -0.64?\nAnswer: -0.6727387579788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let k be 96\/(-63) - 18\/(-27). What is the second biggest value in k, -2, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 10*g + 34*g**2 - 18*g**2 + 2 - 16*g**2 to z*g**4 + q + i*g**3 + y*g + a*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -166, -338, -566, -844?\n\"Answer: i**3 - 37*i**2 - 6*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diio. What is prob of picking 1 d, 1 o, and 1 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1393504 by -4.\nAnswer: 348376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + 8 - 28 + 20.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 12875901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2046.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - -6*(sqrt(1331) + (sqrt(1331) + (sqrt(1331) + -1 - sqrt(1331)) - sqrt(1331)))) + -1)**2 + 5*(4*1*sqrt(1331))**2)*6*-5.\nAnswer: -5152440 + 32340*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -707844497509 and -14.\nAnswer: -707844497523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -89*b**3 + b**2 - 18*b + 7. Let s(y) = 89*y**3 - y**2 + 16*y - 6. Determine 6*a(u) + 7*s(u).\nAnswer: 89*u**3 - u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(100\/12 + -3). Let n = -21 - i. What is the highest common divisor of 44 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469151 is divided by 233709?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4553\/1060 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = 3. Calculate the least common multiple of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*q - 315 - 52*q + 143*q + 118*q wrt q.\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -32. Suppose 0 = -0*l - l + 2, -o = -t + 4*l. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 63*j**3 - 3*j**2 - 63*j + 3 = 0.\nAnswer: -1, 1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1926?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3*2603\/(-548)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-2\/11)*c)**(5\/3)\/((c\/(c\/(c**(3\/4)\/c)))\/c**(-9)))**5 assuming c is positive.\nAnswer: c**(-2275\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0 + 5. Let f(r) = 7*r**2 + 2*r**2 - 4 + w. Is f(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/12 - 2*q**3\/3 + 9*q**2\/2 - 7*q. What are the prime factors of k(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7224*u - 2834*u**2 + 7224*u.\nAnswer: -2834*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 4*f**4 + f**4 + (f + 0*f - 3*f)*(6*f**3 + 2*f**3 + 2*f**3) - f**4 + 17*f - 17*f to the form s*f**3 + r*f**2 + w + b*f + z*f**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -214. Calculate the remainder when 89 is divided by (46 - k) + 34 + -32.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 4*z**2 - 4*z + 2. Let w = -148 - -146. Let l be t(w). Let n be (-1)\/(((-15)\/78)\/5). Calculate the highest common divisor of n and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -211, -214, -227, -256, -307, -386, -499?\n\"Answer: -n**3 + n**2 + n - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 774048.3l?\nAnswer: 774048300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1728 = 2496. Does 44 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, n: 6, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 9072582*r + 20577936036681.\nAnswer: (r + 4536291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -5 in ascending order.\nAnswer: -16, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42530 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 - (-15)\/3. Let n = q - -18. Suppose n + 14 = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*26\/364*-14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*z + 18 = k, -3*k + 6 = z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 14. Let q be m(-6). Put q, -5, -3 in ascending order.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 117\/18)*(-4)\/48*-4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -80.6. Let u = 8 + t. Let s(k) = -k**3 - 14*k**2. Let n be s(-14). Which is the closest to 0? (a) u (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 - 609\/(-1820). Let f be -4 - ((-1488)\/52 + 0). Let v = f + m. What is the common denominator of v and 83\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132341*n**3*s**3 - 2*n**3*s**2 + 15*n*s**3 - 9136783*n*s - 4*s**4 + 4*s**2 wrt s.\nAnswer: -794046*n**3 + 90*n - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 + -130.7. What is the second biggest value in 2\/5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/2 - 122*u**2 - 3024*u = 0.\nAnswer: -216, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 574603.2 hours?\nAnswer: 2068571520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 + 2*p + 23. Let c(g) = g**3 + g - 1. Give 2*c(m) - x(m).\nAnswer: -2*m**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000754 rounded to five dps?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*r**3 + r**4 + r**4 - r**2 + r + 225*r**3 to the form p*r**4 + s*r**2 + h + g*r + z*r**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195114442?\nAnswer: 2, 2557, 38153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*u + 54 = 2*s, 2*s - 40 = 3*u. Suppose -4*g + 5 = 4*l - 31, 0 = -5*l - 3*g + 39. Calculate the remainder when s is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.7 + 20.2. What is n rounded to 0 dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (sqrt(175) - (1 + sqrt(175)) - sqrt(175))) + -3)**2.\nAnswer: 1980*sqrt(7) + 7389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3577910.\nAnswer: 2, 5, 7, 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1324.958 from -53949857.\nAnswer: -53951181.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.0599841 - -2.06. What is d rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3887.614 nanometers to meters.\nAnswer: 0.000003887614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767 + 767 - 15*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/4*k + 0*k**2 - 1\/4*k**3 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 6*d - 3. Let f be a(-5). Let p(o) = 4*o**3 - 2 - f*o - 2*o**3 - 2*o**2 + 0*o**3 - 2. Let n be p(3). What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32403.610992 + 32246.611. Let v = k - -157. Round v to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -69, -183, -341?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1 + 0 + 5 - 3*q - 8*q**2 + 4*q**2. Let w be u(-4). Let h = w - -54. Let l(k) = k**3 - 4*k**2 - 8*k - 5. Determine l(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18735 is divided by 2449.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 73*y**3 - 9*y**2 - 17*y - 8. Let n(u) = 26*u**3 - 3*u**2 - 6*u - 3. Give -4*f(t) + 11*n(t).\nAnswer: -6*t**3 + 3*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -25. Let s be (v\/(-10))\/(13\/(-65)). Let k = s + 16. Solve k = -n + r - 1, 2*n = 3*r - 0*r - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4797471, -19189880, -43177229, -76759518, -119936747, -172708916?\n\"Answer: -4797470*i**2 + i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724, -654, -492, -202, 252?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:43 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 1. Let d(q) = -3*q + 2. Let p(i) = 3*d(i) - 4*n(i). Give p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -47. Put -5, m, 3 in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3520939?\nAnswer: 3520939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175, -358, -547, -742?\n\"Answer: -3*i**2 - 174*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 1208?\nAnswer: 61608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 329 - 330.37. What is i rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/85*-3*1*(-15)\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26896, -69753, -112610, -155467, -198324, -241181?\nAnswer: -284038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 16*h - 24*h + (1 + 0 - 8)*(-3 + 3 - 4*h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -18, -42, -86, -156?\n\"Answer: -z**3 - z**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 9*d**2 - 2*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + 0.02. Let g = 66 - 55. Is g bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 10*q = -5. What is the highest common divisor of q and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 6 + 2)*(2 - 3 + 2)*(-127*f**2 + 2*f**3 + 128*f**2 - 6*f + f**3) to h*f**3 + g + a*f**2 + w*f and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 18*o - 15*o. Solve 0*i + 3*s = o*i - 25, 3*i - 2*s = 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 25*i = 203. Suppose -1200 = 11*h - 3*h. Let q = 293 + h. What is the remainder when q is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7156.733cm?\nAnswer: 71567330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 17*z = 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.7 + 18.7. Suppose 0 = -3*a - n + 1, -5*n = 4*a - 3*a + 23. Put h, a, -3\/5, -0.4 in increasing order.\nAnswer: h, -3\/5, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. Suppose -3*k - v*m + 56 = -4*m, 0 = k - 2*m - 12. What is the units digit of k\/((2 - 1)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 10*c + 5. Let s be v(0). Solve s*l + 3*r - 17 = 0, -9 = -2*l - r - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-6)\/(-15))*(669 - -1). Let y(a) = -267 - a - v + 535. Let o(b) = -3*b**2. Determine y(o(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -32. Suppose -f*l + 4*l = 1511. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vee when three letters picked without replacement from {e: 4, r: 2, c: 1, v: 1, j: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-531)\/135 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:50 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 21*w**2 + 4*w + 2. Determine n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*c*v**3 + 4*c*v**2 + 79*v**3 - 4 wrt c.\nAnswer: 34*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/(-4)*-2). Suppose t + 22 = 4*i, 0 = 3*i + 4*t - o - 6. Factor 24*a**4 - 30*a**3 + 23*a**i + 5*a - 38*a**5 - 7*a**4 + 23*a**4.\nAnswer: -5*a*(a - 1)**3*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5757098 centuries in decades?\nAnswer: 5.757098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240)*-2 - sqrt(2240))\/(-2*sqrt(28)\/sqrt(4) + sqrt(7)) + 0)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/5 - (-4)\/(-10). Let l(k) = 7*k**2 + 6*k - 28*k**2 + 11 - 3 + 20*k**2 + 0. Give l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*i + 1907532 + 250681, -6 = -3*l. Let t = i + -5359. What is t rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = 27, -5*j + 77242 = 4*s. Calculate the smallest common multiple of 4 and j.\nAnswer: 30908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -z - 2*z - 7, 4*l - 4*z - 16 = 0. Let m = 10 - l. Suppose m*o + 2*p - 173 = 0, -3*o + 4*p = -4*o + 31. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 3*m + 0*m + (162*m + 1251*m + 54*m + 12*m)*(-2 + 1 + 3).\nAnswer: 2957*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, -1\/3, -0.21 in decreasing order.\nAnswer: 3, 2, -0.21, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530872681 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-18))\/(-2) + (-164)\/2583.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - p**2 + p**2 + (0*p**3 - 3*p**3 + 2*p**3)*(p - 29 + 29) + (4 - 4 + 2)*(6*p**4 - 13*p**4 + 9*p**4 - 3).\nAnswer: p**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2176009097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3 - 3. Let l = 0.13 - -0.22. Let m = g - l. What is m rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/7 - 32*d**4 - 71042*d**3\/7 + 15816964*d**2\/7 + 80557321*d\/7 + 64669540\/7 = 0. Calculate d.\nAnswer: -265, -4, -1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64049 is divided by 1169.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134 + -8*5\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 3. Let s be g(-4). Let a(y) = -y + 13. Let l be a(s). Let m = 4 + l. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, 6175, -5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244.88 + 441.87. Let u = s - 197. Round u to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47650 times 0.01?\nAnswer: 476.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 2*c**6\/15 - 23*c**5\/5 + 22*c**4\/3 + 20*c + 5. Factor y(s).\nAnswer: 4*s**2*(s - 22)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1450.9 + -1451. Let f = 2.5 - 3. Which is the closest to h? (a) f (b) -1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -23*q + 7. Let g(h) = -h. Let p(w) = -w**2 + 2*w - 3. Let j be p(3). Let m(o) = j*g(o) + x(o). Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34080237 and 22720158?\nAnswer: 68160474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.41896 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*s - 10 = 0, 12*s = 11*s + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25991498?\nAnswer: 2, 13, 479, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-20)*(2 + 0). Is 15\/6*(s + 11) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((-8)\/(-8 - 0)). Suppose 3*m + i = -2*i + 114, m - 5*i = 50. What is the remainder when m is divided by 7 - 9\/(j\/(-16))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 + (-5 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83 and 52.\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13462928909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10018769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-12) + 1 + (-17)\/(-3). Suppose -q + y + 14863 = 3*y, -5*q = w*y - 74325. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 2. Let d be p(-1). Suppose -5*s - 3*g - 1 = d, 5*g = -s - 14. Suppose -9 = -4*r - s. Let j(i) = i**2 - 2. Calculate j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6540427 from 0.922.\nAnswer: -6540426.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 295.3 (b) 3 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.8, 4, -1.2, -5\/6?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4572*v - 4571*v + q - 28, -39 = -3*v + 12*q for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (2 + -3 + 0). Suppose 0 = -5*z - 4*n + 65, -2*z - g*n = -7*z + 65. Suppose -x - 100 = -5*x. Calculate the remainder when x is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1626 = 4*u + 2*g, -843 = 10*u - 8*u - 5*g. Let r = -404 - u. Solve -11*d + 16*d = r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45537.313 - 47391.4757. Let l = 1854 + r. What is l rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1064)\/84)\/(4\/(-6)). Solve 5*g = -3*q + 6 + o, -16 = -3*g - 2*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 12) to base 5.\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 - 1.8. Is t at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**2 - 2*n + 13. Let z be a(-6). Let x be z\/75 - 6\/45. Suppose x*r - r = 5444. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1914042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*m - 927975, -16 + 41 = -5*m. Round n to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 17 = -a + u, 0 = -2*a + 5*u + 22. Solve -2*t - 7 + a = -4*l, -3*l - 12 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:19 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -58, -1\/3 in ascending order.\nAnswer: -58, -4, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-318)\/130 + 3 - (-6)\/(-39). Which is smaller: -19 or b?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -12, -h + 5*h - 46 = 5*t. Let c(b) = b + 5. Let w be c(t). Let y(g) = 2*g**2 + g + 2. What is the remainder when 7 is divided by y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -13. Suppose 0 = -5*x - 5 - 10. Let s be a\/((-9)\/x) - -2. Calculate the greatest common divisor of 20 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3524 - 17616\/5. Let z(q) be the second derivative of 0*q**4 + 0*q**2 - w*q**5 + 20*q + 0 - q**3. Find the second derivative of z(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6*2\/3 - 62)*20\/(-15). What is the greatest common factor of 110 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*-0.3204\nAnswer: -8.6508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Let v(f) = 17*f. Let o(c) = 511*c. Let k(h) = -6*o(h) + 182*v(h). What is k(s(z))?\nAnswer: -112*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 93068*o - 186128.\nAnswer: -2*(o - 46532)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21551389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(325) - sqrt(52)\/(sqrt(4) - sqrt(144))) + (sqrt(104) + (sqrt(104) - -2*sqrt(104)))\/sqrt(8) + (-3*sqrt(130))\/sqrt(10).\nAnswer: 56*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.013, -59, -27 in decreasing order.\nAnswer: 3.013, -27, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -289, -2, -1, 2 in decreasing order.\nAnswer: 2, -1, -2, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(252\/(-32)))\/(501\/3507)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 663151163*p**5 + 3567578*p + 29 wrt p?\nAnswer: 13263023260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -6 (c) -0.4 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10592.69km in centimeters?\nAnswer: 1059269000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 4898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*(51 - 141\/4)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8364, -8181, -7920, -7617, -7308?\n\"Answer: -6*g**3 + 75*g**2 - 8433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.07974 to 2 decimal places.\nAnswer: -23.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2*h**2 + 6. Let f(k) = -k**3 - k**2 - k - 6. Let q(x) = -4*f(x) - 3*m(x). Let s be q(0). Solve 2*o - 22 = -3*w - 2*o, -o = -5*w + s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633180847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 190?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, -226539.\nAnswer: -226539, -16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243535079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u - u + 26*u - 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3938*f + 3957*f - 778 - 7897*f. Let v(h) = -h. Give l(v(i)).\nAnswer: 2*i - 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and -4759.\nAnswer: -4803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*z = 5158, 50*j + 3*z + 5153 = 54*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30487653 and 1323?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 34 = -16*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 405*b**2 - 44880*b - 861220 = 0. Calculate b.\nAnswer: -34, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {i: 6, c: 3, q: 4, w: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s - 554*s - 95 - 26645 = 4938 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*i = -127*i. Let m be 78\/8 - (-2)\/8. Solve 5*d - 2*g - m = i, 3*d + 1 = -2*g - 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 20, 50, 112, 218, 380, 610?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**3 + 4*c**2 - 3*c - 51. Let p(t) = 7*t**3 - 3*t**2 + 2*t + 34. Let m(l) = -5*b(l) - 7*p(l). Let s be m(0). Solve 4*f - s + 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -15 - 9. Let k(b) = 3*b**2 - 10*b. Let h be k(v). Let p = h - 46. Put -7, -2, -5, p in descending order.\nAnswer: p, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137.3 + 138. What is the third biggest value in -4, -0.2, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1)\/(-1)) - -2. Let t = 45 + -39. Let d be (-10)\/75 + t*32\/4140. Which is the nearest to r? (a) d (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**2 + 138*l + 90. Let z(x) = 32*x**3 - x**2 - 2*x + 3. What is the remainder when z(2) is divided by h(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291 + -177. Calculate the remainder when c is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1381841, 1381873, 1381909, 1381949, 1381993, 1382041, 1382093?\n\"Answer: 2*m**2 + 26*m + 1381813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 8*l + 36. Let o be -4 + 30\/18 - (l + -5). Let 6*f**2 + o*f**4 + 14\/3*f + 4\/3 + 10\/3*f**3 = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.4, -1\/44, -5\/6, -1\/2, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 7. Let t be n(-4). Solve -5*r + w + 26 = 0, -3*w = 2 + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 6. Let h be x(8). Suppose -3*i + 15 = -3*w, -3*i - h*w + 4*w = -14. Let u be (1 + 3\/(-6))*i. Solve -4*s + 11 = -n, 2*s + 4*n + u - 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44550056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1680523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 28*k**2 + 5*k. Let j(d) = 2*d**2 - d. Calculate c(f) + 5*j(f).\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -28*q**3 - q**2 + q. What is r(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 + 10*h. Let q(u) = 16*u**2 + 24*u. Let j(z) = 12*g(z) - 5*q(z). Let y(d) = 14*d**2. Determine y(j(x)).\nAnswer: 896*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 814, 815, 808, 787, 746, 679?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814905.\nAnswer: 5, 193, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1835926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1899, -2074, -2375, -2808, -3379, -4094, -4959, -5980?\nAnswer: -7163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 98*i + 3. Let a be g(4). Let s = 792 - a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 29 = -2*t - 6, 0 = 4*t + w - 35. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 7*y = 5*z + 19, -5*y = 5*z + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -458309 - 13?\nAnswer: -45831c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1204623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t = -31*t + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/46493 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.61635t in micrograms?\nAnswer: 14616350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 37. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20037*p = -8463*p + 902772 for p.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83909811 rounded to four decimal places?\nAnswer: 0.8391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.2 and -2334302.08?\nAnswer: 2334305.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddppdddpd. Give prob of sequence dpp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.111694 and 0.043?\nAnswer: 2.154694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23783, -23784, -23785, -23786?\n\"Answer: -x - 23782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o + 1. Let b(w) = -2*w + 9. Let n(t) = -b(t) + f(t). Calculate the lowest common multiple of n(-5) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39693, -158849, -357437, -635451, -992885, -1429733, -1945989?\nAnswer: -2541647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 72 = 32. Do h and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*n - 90 = 171, -465 = 5*s - 5*n. What is the units digit of (-108)\/s*30\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -435*d**4 - 8300680*d**3 + 16411825*d**2 - 7919870*d - 190840 = 0.\nAnswer: -19084, -2\/87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4082 - -5182. Is a a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322607 is divided by 2732.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14*z + 1589. Let j be f(-58). What is the highest common divisor of j and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46104 - 93984. What is x rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3\/5 + 210657*w**2\/5 - 3698346936*w\/5 + 11093144976\/5 = 0.\nAnswer: 3, 35108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 1, p: 3}. Give prob of picking 1 y and 3 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) + 0\/(18 + -8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 477308.\nAnswer: 7159620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 3*n**4 + 1\/3*n**5 - 19*n**2 + 0 + 3*n - 16\/3*n**3. Solve i(o) = 0.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-7))\/((-49)\/(-245)*1*5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**9\/1512 + s**5\/12 + 7*s**4\/24 - 7*s**2. Let c(k) be the second derivative of b(k). What is the derivative of c(x) wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1328 = 2*m, 4*m = -21*d + 20*d + 446. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2883, 10665, 23625, 41757, 65055, 93513?\n\"Answer: -p**3 + 2595*p**2 + 4*p + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = x - 50, -5*u + 96 = -x + 29. Let p(c) = -8*c - 3. Let s be p(4). Let l = s - -73. Calculate the remainder when l is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60262 divided by -26\nAnswer: 30131\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -206*f + 11296. Calculate g(55).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-12)*3\/1. Let k be 14\/(-63) + i\/18. Let h(r) = 2*r**3 + 59*r**2 + 28*r - 39. Let z be h(-29). What is the nearest to 0 in -4\/3, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -4*t, 0 = -4*u. Let h(r) be the second derivative of r**2 - 1\/3*r**3 + t - 2*r. Differentiate h(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 13*t - 16. Let r be l(4). Let y = -14 + r. Which is bigger: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53144)\/(-12376) - 17\/4)*5792\/(-36) - -7?\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/4)\/l)\/(l\/(l*(l\/(l**(1\/2)\/l))\/l)))\/((l*l**3)\/((l*l\/(l*l**(-1\/7)))\/l*l)) assuming l is positive.\nAnswer: l**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 13) to base 15.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - sqrt(95)*1)*1 - (-2*sqrt(95)*1 + sqrt(95) + sqrt(95)))\/((sqrt(10) - (sqrt(10) + sqrt(60)\/(sqrt(42)\/sqrt(7))))\/sqrt(2)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1065, -2146, -3211, -4260, -5293?\nAnswer: -6310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 30*v + 34. Is 38 a factor of o(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 754\/3. What is the closest to -2\/7 in k, -2\/11, 97\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 9. Let z be n(-5). Let i be -3 + 18\/3 - z. Solve 0*g - 8 = g + 3*y, -4*g - 16 = i*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-175)\/(-150) + 91294\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 17 + 3*z)*(2 - 1 + 1)*(8 - 3 - 2) to the form x*z + c and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.036121 millilitres to litres.\nAnswer: 0.003036121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -502284 divided by -251142?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/6))**21*(z*z*z**(-1\/44)\/z*z)\/(z**(13\/2)\/z) assuming z is positive.\nAnswer: z**(615\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 114. Let z be 5\/6*2\/5. What is the closest to y in -5\/2, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + k - 5*k + 0*k - 3*k + 2*k + (3 - 1 + 0)*(-3*k + 44*k + 24*k) in the form j + d*k and give d.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36452 - 70442 = -2813*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44471 + -27020. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18995\/38982 + -149\/267. What is the common denominator of 17\/10 and d?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*a - 4*p - 13, 2*a - 10 = -5*p. Suppose a*o - 17960 + 4160 = 0. What are the prime factors of o?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9253 and -9250 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12347717 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-12)\/9)*(-10)\/(-85).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaxx. Give prob of sequence xaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 14. What is the remainder when 3900\/(-18)*(-6)\/5 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k**4 + 21392*k**3 + 10676548*k**2 + 198469112*k + 64970880 = 0.\nAnswer: -390, -19, -1\/3, 2192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + z - z)*((-4 + 5 + 2)*(9*z + 27 - 27)*(-4*z + 3*z + 2*z) + (-z**2 - 5*z + 5*z)*(3 - 4 + 3)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = r. Let b = 11 + r. Let i be -1 + 4 + 6\/(-6) + 3. Solve -2*u = -b*u + 2*j, -4*u = i*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let v be t(-3). Let q be v\/(-11) - 12\/66. Is 4\/5 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 2*k - 3. Let a(g) = 6*g**2 - 4*g - 7. Suppose 0*i + s = 4*i + 31, -34 = 4*i - 2*s. Determine i*y(j) + 3*a(j).\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 33*x**2 + 199*x - 5788. Give p(34).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2945*u = -11445 - 26840 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182558 <= -1182562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.03571 millilitres in litres?\nAnswer: 0.01903571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4220*q - 1 + 14343*q.\nAnswer: 18563*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -4*f - 3462, -f = 3. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155287829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5676, -11360, -17044, -22728?\n\"Answer: -5684*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/3244675?\nAnswer: -3\/3244675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 + (-36)\/72 - -4. Solve 15 = n + 3*x, -t*x + 2*x + 14 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 2. Let r be i(-2). Suppose 2*l + 3*a = -a + 94, 0 = 3*l + 2*a - 137. Suppose 40*v = l*v. Solve v = -2*h + r*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*2*(-558)\/3. Let o = s - -457. Suppose -236 = -5*l + o. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -9, -23, -51, -99, -173, -279?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2519 * -0.2036.\nAnswer: -512.8684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 9*p + 24. Let x be b(-5). Let w = -44 + 49. What is the third biggest value in 3\/7, -1, x, w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*w + 24235 = 881*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 63?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.581085m?\nAnswer: 0.001581085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -418495\nAnswer: 125548.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 103*j**3 + 99*j**2 - 3664*j - 4. Let a(x) = -47*x**3 - 50*x**2 + 1832*x + 2. Let t(p) = -9*a(p) - 4*i(p). Find the second derivative of t(v) wrt v.\nAnswer: 66*v + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1834*j - 3628*j + 1794*j - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21960 = 95*i - 104*i. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229 by 800.\nAnswer: 229\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*2*sqrt(15) - sqrt(15) - sqrt(15) - sqrt(15)) + (sqrt(1500) - sqrt(1500)*2))*2)\/(-1*5*sqrt(40)\/(sqrt(56)\/sqrt(7))).\nAnswer: 46*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*o - 6 = 4, -25 = -p - 5*o. Suppose p = -2*y + 8*y - 138. Solve -2*d + t = 6*t + y, 3*t = 3*d - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19156708667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -7 + -13 + (-10 - -33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 476508.\nAnswer: 5241588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2458 and 1.\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 42320*j - 42322.\nAnswer: 2*(j - 21161)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22229 - -22236. Let m(r) = 2*r**3 + r**2 - r - 3. Calculate the remainder when m(4) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 21*r = 24. Suppose -20 = -3*p + 67. What is the remainder when (r - 2)*(-113)\/(-2) is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(((x*x\/x**(-1))\/x)\/x))\/x)**(-2\/17))**(2\/67) assuming x is positive.\nAnswer: x**(4\/1139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5*-1)\/(7\/(-980)*7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 33, 101, 225, 423, 713, 1113?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(4\/7)*b\/b**(-3\/17) assuming b is positive.\nAnswer: b**(191\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 71*w - 245 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57787021.2422 - 0.063\nAnswer: -57787021.3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -539 in 4\/9, -15, 117?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**2*j*x**3 + 6*b**2*j*x**2 + b**2*j*x + 2*b**2*x**3 - 83*b*j*x**3 + 3*b*j*x**2 wrt x.\nAnswer: -18*b**2*j + 12*b**2 - 498*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4489059 is divided by 2487?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*3 - (sqrt(17) - (6*sqrt(272) + sqrt(17)))**2) + -2.\nAnswer: -9794 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 667394537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/16*(-4)\/(-3). Is a\/(-6) - 2450\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350020 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500738691.\nAnswer: 3, 31, 61, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1194 - 5aa?\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 309 = 69. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/310 in 8, 2, -0.8, 4\/3, 17?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - ((102 - 189) + 30).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318886 = -6*g + s - 2*s, -3*g + s + 159437 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0106 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -1\/8 (b) 0.3 (c) -2\/7 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:24 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.51427 centuries in millennia?\nAnswer: 9.851427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22\/17)\/(980\/(-8330))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/12 - y**2. Let m(t) = -8*t + 3*t + 3*t. Give m(h(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 + -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*v - 2. What is the closest to 0.1 in 0.4, 1, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 3*a + 16, -287*q - 19*a - 100 = -563*q + 281*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 55. What is the highest common divisor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -100 (b) -0.3 (c) -1\/6 (d) 9 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 14*v**2 + 3. Let s be d(14). Suppose 2*z - 5 = s*z. Put 5, 0, z in descending order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, s: 5, h: 3, m: 3, p: 2}. Give prob of sequence mps.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41001322324 + -4?\nAnswer: 41001322320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -5.3. What is the closest to n in -1, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2. Let w be ((-3)\/9)\/(2\/(-18)). Suppose -4*m = 2*n - 6, -w*n + 4 = 5*m - 4*n. Determine d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121022 (base 3) to base 6\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3183500 to the nearest ten thousand.\nAnswer: -3180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -20363 + 20363 + 779*t in the form g + z*t and give z.\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 405*r**3 + 270*r**2 - 125*r + 10 = 0?\nAnswer: -1, 1\/9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16, n + 16 = -2*t + 5*n. Let r be (2 - -2)\/2 + t. What is the third derivative of 0*j**6 + j**6 + 2*j**r + j**6 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.31 and 5185.\nAnswer: 5185.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(2 - 1) - 2. Let s be 1\/c*1075\/2. Let r = s + 267. Find the common denominator of r and -49\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 660 - 260. Let g = -399 + z. What is k in -1\/4*k**2 + 0*k + g = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 430 = -1780. Suppose 5*r - y - 218 = -2*p, 4*p - 218 = -3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let a(q) = -2*q - 11. Let k(o) = -1. Let j(c) = 2*a(c) - 22*k(c). Let x(m) = m. Let y(n) = j(n) + 6*x(n). Calculate y(p(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844754, -1689500, -2534242, -3378980?\nAnswer: -4223714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 149, -2, 5, 1 in descending order.\nAnswer: 149, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 775457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 99816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63359439 divided by -186901.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(475)*-2)**2 + 0 + (sqrt(475) - sqrt(475)*2)**2)*-1.\nAnswer: -68875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1018 divided by -509\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 183799.2km in meters?\nAnswer: 183799200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4158285299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 14 (b) 2\/11 (c) -46 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -156180 in increasing order.\nAnswer: -156180, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 335*u**2. Let y(l) = -22*l. Determine a(y(g)).\nAnswer: 162140*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1864*h + 3499*h + 26*h + 10605*h as j*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107ddaa (base 14) to base 2.\nAnswer: 11101111001010010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m - 43*m**3 + 43*m**3 + 5*m - 19*m**4 wrt m.\nAnswer: -228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6675 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 24*j + 29*j - 2 = 13, 2*j = -205*y + 1033 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 25*o**7\/84 + o**6 + 23*o**5\/20 + o**4\/2 + o**3\/12 - 83*o. Factor m(f).\nAnswer: f*(f + 1)**2*(5*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 - 7)*(-3 + 1 + 1)*(26*f - 26*f + 4 - 2*f**2).\nAnswer: -18*f**2 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 - 3*c**2)*(6 + 2 - 4) + 3*c**2 + 3*c**2 - 4*c**2 - 15 + 35 - 17 - 3*c**2 + 0*c**2 + 2*c**2 - 5*c**2.\nAnswer: -8*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 10048?\nAnswer: 110528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 - 2. Let p(u) = -5*u - 1. Let s be p(-1). Suppose 0 = s*d + 5*z + 36, -5*d = -2*z - 3*z. Calculate m(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 12160?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447 = 231*i - 568 + 167 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b8c572 - 1?\nAnswer: -7b8c573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5089554, 10179105, 15268654, 20358201?\nAnswer: 25447746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t + 112 = -308 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44439 and 427.\nAnswer: 44866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-17)\/(-2) - 9). Sort 197, -1, 2, w in ascending order.\nAnswer: -1, w, 2, 197","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.5 + 15. What is the closest to 1 in 0.3, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 = -116*t - 2728 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 0.4, 6360, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 109 = 5*b - 56 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338797 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -92*x - 601. Determine t(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/108 - (-12)\/162. Solve 2*w + 2*a - a + 12 = n, 0 = -5*w - 4*a - 33 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6400272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:03 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 46\/21 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 53. Solve -3*b - p = 0, k + 3*b + 0*b = -18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 10*y**2 - 21*y + 41. Let v be j(-12). Suppose -90 = -2*a + v*t + 124, 0 = 5*a + 2*t - 506. Calculate the remainder when a is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 4)*(-80)\/64. Solve -h - 4*d = -12, 0*h + g*d = -h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70977 is divided by 58.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 = -4*s. Let v(j) = j**2 - s - 4*j**2 - 4. Let w(l) be the second derivative of -l**4\/12 - 2*l**2 - l. Calculate -4*v(d) + 11*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*p + 10, -f - 20 = -5*f + p. Let h be (-8)\/f*(4 - (3 - -6)). Suppose h = 18*z - 16*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.2 + 28. Let h = 22 + -16. Let l = h + z. Which is the closest to l? (a) -2\/9 (b) 3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 4. Let q be g(-2). Solve 0 = 3*f + q*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9)*4887\/1267*((-7)\/3)\/(-1). Determine x, given that x**l + 1\/3*x**3 + 0 + 0*x = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1059 = -a. Let m = a - -1837. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 34. Let n = 1.48 - 1.78. What is the third biggest value in n, 0.107, 5, f?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*k + 3 - 3 + 0.\nAnswer: -725*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8546674 and -0.119.\nAnswer: -8546674.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426 - -450. Calculate the remainder when b is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/20477 greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4*r - r + (2 + 1 - 2)*(-r + 4*r - r) + r - 3*r + 5*r)*(1 + 1 + 1)*(1 + 1 + 0)*(2*r + 8*r - 3*r).\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 407721271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-18)*(-4)\/10 + ((-305536)\/(-15264))\/77?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 16) to base 14.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -252*s + 1790 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 6, p: 1, v: 2, c: 3}. Give prob of picking 3 t.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 128 = -82. Suppose c*d = 24*d - 534. Let p = 96 - d. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 136523*v - 136517. What is i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274070?\nAnswer: 2, 5, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-6))\/(-1) - (21 + -24)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:02 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 232331?\nAnswer: 232322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11603 - -477?\nAnswer: -11126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 385 - 382. Let j(g) = 527*g**3 - 5*g**2 + 5. Is j(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30534*a**5 - 1061*a**2 - 15*a - 10281848.\nAnswer: 610680*a**3 - 2122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252757 divided by 3.\nAnswer: -252757\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*i + 256151 = 0, -3*w - w - 4*i = -341508. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h + 6*h + 4*h + 9*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 2. Solve g + 2*l + 2 = -r*g, 5*l = g - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4*q - 1. Let j be u(-4). Let i be -3*(-6)\/9 - -1. Let k = j + i. Solve -5 = 2*o - 4*d + 7, 0 = -2*o + k*d - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let q = -68 + 72. Let h(t) = t + t + q*t - t. Give h(b(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u = -78*u - 14*u - 106 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 145 - 71 = -249 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274.5 - -275. Which is the fourth smallest value? (a) p (b) 3 (c) -9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - b = 18, 6 = -2*n + b + 3. Let d be (3 - -1)*n\/(-6). Suppose -s**3 + 2*s**2 - s**3 + 6*s**3 - d*s = 0. What is s?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 53*x + 0 - 42*x + 89*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403225 is divided by 9377?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127268 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2 + 2478*c + 64080.\nAnswer: -2*(c + 24)*(4*c - 1335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21425 (base 7) in base 9?\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - 3\/(1 - 0). Let w = 1 - 5. Which is the second biggest value? (a) -3 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*x + 4 = -33, -5*w + x = 20. Suppose 11*o + 9 = 42. Put -34, w, -5, o in descending order.\nAnswer: o, w, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101111110111001011 (base 2) to base 11\nAnswer: -293274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6201 rounded to the nearest 100?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1053.6 + 1054.6. Sort -787, 3\/2, g.\nAnswer: -787, g, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 14*q**2 + 34*q - 8. Calculate the remainder when m(-8) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-3)*(-90)\/(-20) and 23\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051687 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15\/21*(-28)\/(-90)*1902\/4438\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/2 - d**3 + 25*d**2\/2 + 21*d. Let h be c(6). Calculate the greatest common factor of h and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 1 - 23. Suppose 37 = y*w + 5*t, -4*t = -5*w + 3*w - 14. Solve 10 = 5*r - 2*l, 4*r - l - 14 = -w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/6 - 658\/(-21). Let c = -437\/14 + l. Put c, 0.3, 79, 3\/2 in descending order.\nAnswer: 79, 3\/2, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -8. Let j = i - -20. What is the remainder when 31 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 444?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -10*b - 0*b. Determine q, given that 0*q - 98 + 111*q - 15*q**2 + b = 0.\nAnswer: 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 + -8?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 104*t + 9. Is w(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o + 5*i = 47*o - 16, -3*i - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113399.3m in micrometers?\nAnswer: 113399300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 2 - 10 - -8) + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17713*f**2 + 8616*f**2 + 8590*f**2.\nAnswer: -507*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -4008990459 and -0.1.\nAnswer: -4008990459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042650392 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17245 and 3449?\nAnswer: 17245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146944 and 2352.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - v = 220, 0 = -3*r - v - 0*v + 140. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192011 * 0.03.\nAnswer: 5760.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 8*b**2 - 25*b - 20*b - 3 + 26*b**3 - b**2 + 44*b to the form n*b + r*b**2 + q + s*b**3 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -r - 0*r - 110, d - r - 40 = 0. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 37. What is the closest to -2\/3 in -0.3, i, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, h: 1, b: 1}. What is prob of sequence iz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b + 1. Let t(x) = -x + 15. Let j be t(11). Let k be j\/18 + 2 + 4\/(-18). Suppose 3*y + k = y. Give d(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let k be ((-1)\/2)\/((-2)\/4). Let p = 6 - 4. Let q(g) = -3 + k + g + p. Give h(q(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105696943*i**4*v + i**3*v + 197682741*i*v wrt i.\nAnswer: -1268363316*i**2*v + 6*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 311070 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 11*j + 2. Let v be c(8). Let q = v + 33. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gee when three letters picked without replacement from {e: 4, v: 4, i: 8, g: 4}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - g**3 - 18 + 0*g**3 + 10*g**2 + 57 - g**4 + 2*g - 18 as b*g**3 + u*g + m*g**2 + z*g**4 + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let y be k(3). Put y, -2, -5 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151212827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -10111010000111100?\nAnswer: -10111010000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556423967.\nAnswer: 11, 50583997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*x + 11 - 31, -3*d + 12 = -3*x. Is 406 - (-3)\/(1 + d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/20 - p**4\/6 + 2*p**2 + 4*p. Let w be l(-2). Let s be w\/2*2*2. Solve 3*y - s*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from kekzkekeeejzkzzjee?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/4 + a**3 - 3*a**2\/2 + 3*a. Find n, given that h(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**8\/6720 - l**7\/2520 + l**6\/720 - 3*l**5\/40 + l**4\/12 - 33*l**2. Let m(a) be the second derivative of j(a). Determine m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12954611*i**3 + 8762998*i**2.\nAnswer: 77727666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12433 is divided by 274.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2 - 2. Let q be (1 - (1 - 1))\/(-1). Let u(j) be the first derivative of -j**4\/4 + 2*j**3\/3 + j**2 + j + 16. Let c be u(q). Calculate k(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*h**2 - 180\/13 + 2*h.\nAnswer: 2*(h - 5)*(h + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -15 in increasing order.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*s + 2*s, 3*i = -4*s + 6. Suppose -5*o - 113 = -f, -s*o - 2*o = -20. Suppose -f = -5*x + 107. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Suppose -5*u = -7*u. Let w(j) be the third derivative of 0 + u*j + 1\/12*j**4 + 0*j**3 - 3*j**2. Calculate w(d(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + r - 20 = 0, 4*f - 11 - 5 = 5*r. Suppose -f*p = -2*k + 92 - 280, 65 = p + 4*k. Suppose 4*l - 2*s = -3*s + p, 17 = l + 5*s. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 4, 2 in descending order.\nAnswer: 30, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15426444 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3 + -62*(-9)\/(-6). Is 1\/3 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1575 and 3825.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 92*i - 596. Calculate r(-38).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208724033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3*y**2 - 2*y**2)*(3 - 3 + 2*y) + (4 - 4 + y)*(2*y**2 - 4*y**2 - 2*y**2).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*g = -14781, 139*g - 136*g + 24635 = 5*m. Calculate the highest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from knznnapkkakna?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.576 and 594.41.\nAnswer: 592.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4098055639\/90 - 45533141. Let f = 4093\/5 - a. What is the common denominator of f and 95\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/2 + (-5002)\/(-205) + -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 16) to base 7.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, 1\/4, 5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -96, -239, -432, -669, -944, -1251, -1584?\n\"Answer: s**3 - 34*s**2 + 8*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 696017, 695951, 695863, 695741, 695573?\n\"Answer: -2*a**3 + a**2 - 55*a + 696073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 22002112211?\nAnswer: -22002112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -65757?\nAnswer: -65761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from behzzzhehhhzezz. Give prob of picking 1 e and 3 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + m - 54. Suppose m*g + 243 = 963. What is the remainder when g is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755226461 is divided by 3071.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 + -120. What are the prime factors of o + (-10)\/2 + 224?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176734699?\nAnswer: 3, 241859411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -19 - 156. Suppose -2067 = -g*t + 1983. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 8*j - 8. Let o(t) = -2*t + 3. Let s be o(7). What is the tens digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: d1 (base 15) to base 13\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:38 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753383389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzt when three letters picked without replacement from {t: 4, g: 2, z: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r + 9. Let g(o) = 2*o**2 - 6*o + 19. Let k(x) = 5*b(x) - 2*g(x). Is 23 a factor of k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.5 (b) 3\/5 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17730321 to the nearest ten thousand.\nAnswer: -17730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3\/3 - 16175*l**2\/3 + 244250*l\/3 + 1625000\/3 = 0?\nAnswer: -3250, -5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97595797907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82609753 is divided by 214?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-5 + sqrt(76)*1)**2 - (4 + -2*sqrt(76) + sqrt(76))**2) + -4)*-1.\nAnswer: -4*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1400.4 - -30\nAnswer: -1370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -36053.41 to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 0 in ascending order.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -3190?\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + ((3*sqrt(242)*-2 + 2*sqrt(242) + sqrt(242) + -3)*3)**2).\nAnswer: 5346*sqrt(2) + 59043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 6*n**2 - 2*n + 1. Let a(q) = 2 - 39*q**2 + 2 - 1 - 4. Let k be a(-1). Let l be 95\/k + 6\/16. Determine i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-28) + 690\/(-70) - (-6 + -2). Let d(t) = t**2 - t + 1. Let n be d(1). What is the nearest to -1\/3 in v, n, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1614 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75004 + 128014. Is 32 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.5. Let y = a + -0.6001. What is y rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1197828727 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 1690829*r + r**3 - 14 - 1 + 1690831*r + 0*r**2 as b*r + d*r**2 + q + f*r**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4401*i**4 - 7*i**2*w**3 + 18357*w**3 - 2 with respect to i.\nAnswer: -17604*i**3 - 14*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 f when three letters picked without replacement from yzzfoyfyyz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/3 + 4. Let q(f) = -4*f**2. Determine q(o(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j**2 + 9*j - 20. Let t(w) = -4*w**2 - 3*w + 7. Let d(o) = -6*i(o) - 17*t(o). Let x be d(3). Solve x = -3*k - u, 4*k - 4*u = -29 + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4261 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*s + l - 195, 195 = 3*s + 5*l. Let r = 4 - 34. Let x = r + 56. What is the greatest common factor of s and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2962*a**3 - 242*a**2 - 116*a**3 + 242*a**2.\nAnswer: 2846*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 368177141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*p**3 + 6329*p**2 + 186221*p wrt p.\nAnswer: 54*p + 12658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 129*b**3 - 136*b**2 - 9. Give l(-2).\nAnswer: -1585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 284226570 - 284226570.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -52 + 256\/3*q**2 - 8192\/9*q + 1\/18*q**4 - 32\/9*q**3. Factor z(h).\nAnswer: 2*(h - 16)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 527 divided by 24\nAnswer: 527\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1299\/2 + 651. Let b = -4 - -2. Let m be (-38)\/152 + (-1)\/(-4). What is the nearest to 1 in o, m, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32448173 is divided by 3308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-6\/11)\/g)\/g))\/g**(2\/5))**(2\/27)\/((g**0)**(38\/5)*(((g\/(g**(2\/3)\/g*g)*g)\/g)\/g)\/g**(-5)) assuming g is positive.\nAnswer: g**(-6089\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2 - 4*r + 1 - r**3 - 2*r**2 - 4 - 2. Suppose -3*h = -2*h + 3. What is the units digit of n(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = s - 3*g, 5*g + 14 = -s. Let u = -5 - s. Solve -3*f + 24 = -0*f - u*n, 0 = -5*f + 2*n + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1225 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 273444660 from -373993.\nAnswer: -273818653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) 1\/3 (b) 1.85 (c) -7 (d) 3\/8 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 3\/5 (c) -35 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -1 + -1)*6.\nAnswer: -12 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 - 57*y**2 - 1 - 6*y**3 + 58*y**2. Let v(g) = -4*g**3 - g**2 + 2. Determine -2*b(k) - v(k).\nAnswer: 2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 77*p - 181. Let x be a(5). What is the highest common factor of x and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 8*m - 12. Let i = -78 + 72. Let s be a(i). Let o be 5 + 1\/(-4)*s. Solve -o*r - 25 + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*d**2*t**3*z**2 - 15323*d**2 + 3*d*t**3*z + 3*d*t**2*z + 2890*d*t*z**2 - 52*d*z**2 wrt d.\nAnswer: 178*t**3*z**2 - 30646","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -360? (a) -2\/3 (b) -1 (c) 3\/14 (d) -0.08 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 119*k**2 + 135*k - 4491. What is m(59)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(1*sqrt(8) + sqrt(8)) + sqrt(84)\/(-1*sqrt(7)))\/(-3*(sqrt(256)*1 - (-3*sqrt(36) + sqrt(4)))).\nAnswer: sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2587*b*d*f**3 + 4*b*d*f**2 - b*f - 19186*b*k - 16*b - 22*d*f**3 + 163*d*f*k - 3*f**3*k wrt k?\nAnswer: -19186*b + 163*d*f - 3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*b + 21 = -2*b, -5*b = -3*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.2, 5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 2*y + 8)*(y - y + y).\nAnswer: y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(65) - (sqrt(65) - (sqrt(65) + 2*sqrt(65))))\/sqrt(5))**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 7*t + 8. Let o be s(-8). Let q be (o\/4 - 1) + -4. Is q <= -16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675 divided by 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 2*v - 4*v as u*v + l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m**2 + 0*m)*(3 - 2 - 3) - m**2 + m**2 + m**2 - 797*m**2 - 1909*m**2 + 353*m**2 in the form w + u*m + i*m**2 and give i.\nAnswer: -2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -494*1.14177\nAnswer: -564.03438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300979 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 31*q**2 - 31*q + 32. Let f be k(30). Solve 0 = y + f*w - w + 2, y - w + 6 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*426 + (13 - (4 + 6))?\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 460, 3966, 5 in ascending order.\nAnswer: 5, 460, 3966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 11) + (-20 - -37)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + (37 - (-12 - -14)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/9))**(-20\/7)*(c**(-4\/7)*c)**46 assuming c is positive.\nAnswer: c**(1142\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31310 + -1112323?\nAnswer: -1031013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -65*x**2 + 263*x - 11. Let p be k(4). Let t(g) = 2*g - 7*g**2 - 5*g**3 + 5*g**2 + 12*g**3. Calculate t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33422 * 1.\nAnswer: -33422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. Let f = 4 - n. What is the highest common factor of f and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2050*v - 4058*v + 2007*v - 2 + 51*v**2 - 23*v**3 as q*v**2 + m + r*v + k*v**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 4*q + 2. Let a be r(-3). Suppose -5*c = -2 - 28. Let u(x) = x - 6. Let l be u(c). Is l smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0\/(-2) + 2 + 19. Solve -2*d - 6 = -5*q - p, -4*d = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 25. Let r(d) be the third derivative of -11*d**4\/6 - 35*d**3 - 44*d**2 + 2*d. Let o be r(-5). Calculate w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-266)\/63 - -4 - (-296)\/36. Let x(y) = -y + 2. Let p be x(0). Suppose u = 6*w + p*w. Solve -l - 1 = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3032284, -6064567, -9096850, -12129133, -15161416, -18193699?\n\"Answer: -3032283*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 104. Calculate the greatest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/109 (c) -8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.40018914 - -0.131\nAnswer: -4.26918914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0 + 1\/20*u**5 + 0*u + 1\/120*u**6 + 3*u**2 - 1\/6*u**4 + 5\/6*u**3. Determine o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618897600 and 18000?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11151951?\nAnswer: 3, 3717317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206*t**5 - 14*t**3 + 76229*t**2 wrt t?\nAnswer: -12360*t**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/5 - 284*a**2 - 502677*a\/5 + 1011042\/5 = 0?\nAnswer: -711, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j)**(5\/6)\/(j**(-3\/4)*j**(3\/4)) assuming j is positive.\nAnswer: j**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k - 1. Calculate the remainder when 47 is divided by a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -23\/13 (b) 3 (c) 65 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/27*(-2 + 10) + 64\/(-576).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0626 plus -15072?\nAnswer: -15071.9374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/33*((-8)\/20 + 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*q - 1050*q + 80*q + 342*q.\nAnswer: -948*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 341*z**2 + 2154*z - 3605. Determine t(164).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (204 - 206) + (0 - -24)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:25 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15653*l**5 - 9481*l**2 wrt l.\nAnswer: -939180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5683 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36623*z**3 - 12460 wrt z?\nAnswer: -109869*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12732 divided by -6?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -160?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*14\/(-6)*-3. Is 7 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-270)\/(-14) - (-14 + (-1100)\/(-77)). Solve 0 = r*c - 31 - 102 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/9, -5, 2\/7, -5\/3 in decreasing order.\nAnswer: 1, 2\/7, -2\/9, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 1\/2 in decreasing order.\nAnswer: 1\/2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195333 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 - 3*x + 1. Let l be f(4). Let r = l - -60. What are the prime factors of r?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (1\/(-6))\/(13\/130)*(-24)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60238427*k**3 + 86188651*k**2 - 1 wrt k.\nAnswer: 361430562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -6*h. Let d be (-15)\/(-6)*-3100*(h - 801). What is d rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-2) - 352\/77. Let o = 0.5 - -3.5. Let z be 9\/12*8\/(-39). Put d, o, z in decreasing order.\nAnswer: o, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pphh when four letters picked without replacement from hhhphphhhwhhhphh.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 425 - 537. Is 3\/24 + (-585410)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 4, x: 5, y: 8}. Give prob of picking 4 y.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(-52) - (((-1728)\/6)\/96)\/((-6)\/(-4))\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 7*r - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - 2*sqrt(99)*1) + sqrt(99))*-6)\/((sqrt(90)*2)\/sqrt(10) + sqrt(144)*-1).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 h when four letters picked without replacement from hhhrhhhhrrhrhh?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(80) + 1*sqrt(5) + 5.\nAnswer: 9 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -913 + -17?\nAnswer: -92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (182\/(-56))\/((-2)\/30232) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 189003\/4 - 1\/4*b**3 - 61495\/4*b - 499\/4*b**2.\nAnswer: -(b - 3)*(b + 251)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*n**5\/3 - 210*n**4 - 2284*n**3\/3 - 854*n**2 - 300*n = 0. What is n?\nAnswer: -75, -2, -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:18 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 209541 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-112)\/80)\/(2\/10). Let n be o\/((-280)\/88398) + 3. Let y = n - 2214. Calculate the common denominator of y and 173\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -2\/195?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2571 + -2569. Solve -52*i - 4 = -55*i + 2*x, 4 = i - f*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let n(l) be the third derivative of -2*l**2 - 1\/12*l**4 + 0 + 0*l + 0*l**3. Give n(j(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/4*(-4)\/6. Suppose f = -0*f - g. Which is the closest to f? (a) 2\/11 (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 - 7*f - 13. What are the prime factors of h(-4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 13602.727.\nAnswer: -68013.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h**5 + 11*h**4 + 5*h**3 - 11*h**2 + 8*h. Let r(g) = -33*g**5 + 45*g**4 + 21*g**3 - 45*g**2 + 33*g. Let n(v) = 21*q(v) - 5*r(v). Factor n(b).\nAnswer: -3*b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5056306 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/448 and 15\/112?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/z**(-8))\/z*z*z\/(z*z**28)*(z**0*z)**(-24) assuming z is positive.\nAnswer: z**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let t(o) = 67*o**3 - 6*o**2 - 4*o - 8. Let j(d) = -134*d**3 + 11*d**2 + 7*d + 15. Let s(v) = -6*j(v) - 11*t(v). What is the tens digit of s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 10*z + 257 - 506.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508148.9 months in centuries?\nAnswer: 1256.79075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.2 - -30.7. What is the third biggest value in 1, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/185440982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 791\/3988?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let y(c) = 0*c + 4*c**2 + k*c. Let q(t) = -t**2 + 15983237*t - 15983237*t. Determine y(q(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 8605\/(-50))*4\/6. Let r = 115 + o. Which is the closest to 1? (a) r (b) -1\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Let h = o - -1. Suppose h*a = 6*a + 2*t - 80, 0 = -4*t + 20. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.7. Let t(m) = -5*m + 18. Let j(h) = -14*h + 52. Let l(p) = -3*j(p) + 8*t(p). Let y be l(5). Which is the nearest to -2\/7? (a) y (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 2 + -2 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 - 192. Suppose 9 = p + 5*y - u, -358 = -2*p + y. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 19.15, 0, -0.1, 0.06, -2\/23?\nAnswer: 19.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -1. Let f be (-3)\/(-1 + -5)*10. Calculate the greatest common divisor of f and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2453*-14\nAnswer: -3.4342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:03 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 - 10 = 0. Let a be (6\/(-9))\/((-2)\/z). Let f(y) = 4 - 4*y**3 - 2*y**3 + 4*y**2 + y + 2*y**3 + a*y**3. Determine f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -832 by -2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, u: 4}. Give prob of picking 4 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*k - 153*k - 1122. Let f be (-1 + 2 - 2)\/(-1). Let t be 879\/5 + f\/5. Calculate the greatest common divisor of t and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249 - -359. Let b be 4\/6 - u\/(-33). Solve -b*k - 6 - 10 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 31 = -31. Let z(v) = v**2 - 32. What is z(d)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 191668 - 235256 - 10150*p - 3053386 - 2708553 - 5*p**2 + 654402 = 0.\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from gxxxxgx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 + 37*t**2 - 14*t**2 + 42*t**2.\nAnswer: 82*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80615032 to the power of 1\/2, to the nearest integer?\nAnswer: 8979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i - 757*i = -406*i + 648*i - 62186 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/(-6*5\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/45)\/(2\/10*5). Sort 0, m, -1.1 in decreasing order.\nAnswer: 0, m, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216.4493246938 + 1.\nAnswer: -215.4493246938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (13 - 24) + (4 - (3 - 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - j + 30*j**2 + 7*j in the form h*j + u + x*j**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -20*b + 52. Suppose 2*i**2 - 44*i**b - 6*i + i**2 + 50*i**3 - 4*i**4 + i**4 = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 take away -76.1825?\nAnswer: 75.9025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*z + 258 = 5*g, 0 = 4*g - 4*z - 476. Suppose n + 3*y = 287, -2*n + g = -4*y - 420. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 7:16 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*g + 90 - 150 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1028 and 447037622?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let r be 5\/2 + (-114)\/76. Suppose r + 2 = i + 2*u, 2 = -2*i + 4*u. Let l(h) = -5*h**2 - 3. What is i*l(k) - 3*y(k)?\nAnswer: -2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -50584 times -5\nAnswer: 252920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 5\/59, -1\/2, -25, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/(-210)*(-455)\/(-182)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.15 + 0.15. Let v = b + 17. Let d = 30409\/20 - 7616\/5. What is the closest to -2\/7 in 0.5, v, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -129. Calculate the remainder when 29 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -19.42. Let n = -4.17678234 + 4.596781. Let j = v - n. What is j rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(91) + sqrt(91)*-1 + sqrt(91) - sqrt(91)) + sqrt(91))\/sqrt(7) + 1)**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-40) - ((-365)\/120 - -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 15. Suppose -11 = -t*m + 14. Suppose -2*j - n - 18 = -3*j, 0 = -m*j - 2*n + 118. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 111 + 44 = -5*l, -5*l - 65 = -q. Suppose -2*z + 3*z - 18 = -5*c, 2*z + 4*c - 42 = 0. Calculate the remainder when q is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3*r + 210*a**3 + a**2*r + 11887*a*r wrt a?\nAnswer: -30*a*r + 1260*a + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -51*r + 24. What are the prime factors of w(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = c - 39196, 6*c = -5*q + 9*c + 98012. What is q rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219097 = 1699*w + 157933 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7925023.8 minutes to days.\nAnswer: 5503.48875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341982?\nAnswer: 2, 670991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -19, 15, 4, 2, -5 in descending order.\nAnswer: 15, 4, 2, -5, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 45?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from mlkoflmv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 - -336. Let p(s) = -s + 5. Let d be p(6). Let b be 10*((-3)\/6 - d). Is u > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -10*u + 5*u. Let m = -52 + u. Let k(j) = -j - 3. Determine k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -47*c**4\/24 + 7*c**3\/6 + 16*c**2 + 11*c. What is s(2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 202, 1 in ascending order.\nAnswer: -33, 1, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 8*i**2 + 11*i + 2. Let h be (-3)\/9*-1*63. Let d = 29 - h. Is u(d) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.7734t in grams?\nAnswer: 749773400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 1\/7 (c) -3 (d) -0.4 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1802*o - 1814*o + 3619*o + 210 + (-6 + 2 + 3)*(5*o - 4*o - 2*o).\nAnswer: 4*o + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16650 + 26430. Calculate the remainder when d is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1\/228, 0.036?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + v + 7. Let x be t(-3). Let p = 35 + x. What is the third smallest value in 2, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17455 + -314057\/18. Find the common denominator of -19\/542 and a.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 1070.\nAnswer: -1070.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.033 + -4.967. Let p = 0.8 + 1.2. Suppose 0 = 3*s + 3 + 3. Which is the third biggest value? (a) -0.5 (b) p (c) i (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**2 - 7\/3*z**3 - 3*z + 4. Let c(n) = 15*n**2 - 4*n + 6. Determine -6*c(q) - 13*u(q).\nAnswer: q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5223*b**2 + 66*b - 137. Is g(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + -116 + 6 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*c - a, 51 - 15 = 4*c + a. Solve -155 = c*r - 163 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, b: 2, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 231? (a) -5\/4 (b) 0.5 (c) -1374 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40390605119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*k + 398 - 398)*(-159*k**3 + 83 - 83) in the form i + y*k**3 + s*k**2 + d*k + z*k**4 and give z.\nAnswer: -5883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/4859674 and -113\/19242.\nAnswer: 43737066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56 + -6?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*p + 40, 31584*w - 31582*w = -3*p - 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**20*q**(2\/37) assuming q is positive.\nAnswer: q**(742\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 16 = -11*a. Suppose 9 = 4*p + l, -4*p = 2*l + a - 12. Solve 0 = -4*k + 5*q + 17, 2*k + 3*k - p*q = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15345)\/(-3255)*(-8)\/264)\/((-5)\/(-6)).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**40*(q**(-4))**26 assuming q is positive.\nAnswer: q**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -69, -103?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 1 + p)*(5 - 3 + 1) + 2 - 2 + 2*p.\nAnswer: 8*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345.89 rounded to the nearest ten?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, 3*n + 0*n - 7 = -2*p. What is the third derivative of 5*h**2 + h**5 - 12*h**p - 8*h**2 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 - 205. Let d = 2404\/21 - 344\/3. Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -136*w**2 + 9*w - 498. Let m(y) = -68*y**2 + 4*y - 221. Let b(d) = -4*a(d) + 9*m(d). Let s(x) = -8*x**2. What is s(b(p))?\nAnswer: -36992*p**4 + 3264*p**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 8\/3 (c) -0.5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 13 = 4*f, 8*s - 4*s + 2 = 3*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89040 and 1834224.\nAnswer: 9171120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2220221102 (base 3) to base 4\nAnswer: -32003030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374413624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*u - 31 = -25, 2*u = -4*v + 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 68*v - 2. Let c(p) be the first derivative of p**3\/3 - 178. What is c(t(b))?\nAnswer: 4624*b**2 - 272*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g - 1\/2*g**2 - 1\/3*g**3 + 3 + 1\/4*g**4. Determine t(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 79*f - 49*f. Let l(r) = r**2 - 5*r - 4. Let z(i) = 2*i + 2. Give f*z(h) - 2*l(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*g = -604 - 265, -l + 299 = 4*g. What is the biggest value in -2, l, 2\/9, 1\/7, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*y**4 + y**3 - 64*y**2 + 9404 wrt y?\nAnswer: 8*y**3 + 3*y**2 - 128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2*m + 8)*(79 + 74 - 147)*(-2 + 2 + 2) to the form z*m + t and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87.2 and -210.\nAnswer: -18312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*l = -16 - 2, 0 = -i + 2*l + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 15148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m**4 - 2*m)*(3 - 3 - 2) + (-m**4 + 3*m**4 - 4*m**4)*(1 - 3 + 1) + m**4 - m**4 + 2*m**4 - 5*m**3 + 5*m**3 + m**4.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 + 125. Sort -1\/3, 5, c, -5 in ascending order.\nAnswer: -5, c, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -22. Let a = s - -24. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 975\/20 + (66\/(-165) - (-26)\/40). Let x = 0 + 3. What is the smallest value in j, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 482.9564 + 0.0436. Let b = -188 + s. Let r = b + -295.00000289. Round r to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6835, -6806, -6777?\nAnswer: -6748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - t = -4, 6*t - 20 = -o + t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s - 3 + 0*s**3 - 1\/12*s**4 + 0*s**2. Let t(u) be the first derivative of b(u). Let x(c) = -2*c**2. Determine t(x(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -403 + 452. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 80182336 + 80182363 - 7*s.\nAnswer: -10*s + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.1 * -0.01.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.7 - 25.7. Which is the second biggest value? (a) r (b) -0.3 (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-68)\/(-140) - (-2)\/(-7)). Suppose c*a - 272 = -4*j, -3*a = 2*a - j - 257. Let t = a + -26. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z - 10547 = -z + 101*z + 113 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b - 11. Let j be v(-2). Let n be ((-8)\/(-13))\/(-4) + 262\/j. What is the third derivative of 26*k**2 - 8*k**2 + n*k**4 - 40 + 40 wrt k?\nAnswer: 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, 1760, 5799, 11454, 18725, 27612?\nAnswer: 38115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13101040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32536, 32538, 32540, 32542, 32544?\nAnswer: 32546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 4*w + 5. What is the tens digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1364901, 1364249, 1363597, 1362945, 1362293, 1361641?\nAnswer: 1360989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59644*k + 59636*k + 59615*k - 178981*k - 2.\nAnswer: -86*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57 + 4d13b0?\nAnswer: 4d1358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 23*i - 3786. Calculate z(-75).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(0 + 0 + 2) - 3 + 2 + 3 + 2 - 7 + 2)*(-g - g + 2 + 0).\nAnswer: -6*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*o - 8. Suppose c + o*k = 35, -c + 3*c = -k + 43. What is the remainder when 8\/5*c\/8 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -11. Let d = 91 + q. Let s(t) = 18*t**3 + t**2 - 5*t + 3. Calculate the remainder when s(d) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-19\/6)*k\/(k*k**(-3))*k**(-3)*k**(-1\/2)*k**(1\/5)*(k\/k**(-3))\/k**6 assuming k is positive.\nAnswer: k**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.09 + 0.09. Let z = -7 - j. Let t = z - -1.9. What is the nearest to 0 in -5, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -333608*q**3 + 8*q**2 + 18264 wrt q?\nAnswer: -2001648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12738159 by -59.\nAnswer: 215901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 189223+-1190.2\nAnswer: 188032.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -12.4.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 + 7 = 0. Let u be (v\/(-12))\/((44\/(-48))\/(-11)). Suppose 4*a - 84 = -2*h, -u*a - 3*h + 32 + 34 = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 11*y + 57. Let q = -14 + 9. Let v = 81 + q. What is the highest common factor of v and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111131 (base 5) in base 14?\nAnswer: 1471d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*x**3 + 68 + 3*x**2 - 35 + 557*x**3 wrt x.\nAnswer: 3786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 6 + (-6 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*r - 21*r + 193127. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 36*g - 2. Let m(d) = 129*d**2 + 4. Give m(w(h)).\nAnswer: 167184*h**2 - 18576*h + 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*q + 286. Let o = q + 110. Suppose -o = -3*y - 8. What is the highest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5565729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 109 - 10*j - 26*j - 35*j. Let w = -11 + 27. Calculate the lowest common multiple of l(-5) and w.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 1\/12*m**4 + 0*m**3 + 0 + 0*m**2 + 76*m - 1\/60*m**5. Factor v(x).\nAnswer: -x**2*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -698 + 704. Put 0.2, 0.4, g in descending order.\nAnswer: g, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/60 - r**4\/8 - 5*r**3\/6 + r**2. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*c - 2 - 13, a = 3*c + 3. Suppose 2*w = a + 16. Calculate the smallest common multiple of w and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*d - 278*d + 337325000 = 0. Round d to the nearest one hundred thousand.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wii when three letters picked without replacement from {i: 7, w: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 3098*t - 53816. Determine x(-1015).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209429 and 266546.\nAnswer: 2932006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 1\/12*c**5 - 18*c**2 + 0 - 1\/105*c**7 - 61\/120*c**6 + 0*c**3 - 2*c - 1\/6*c**4. Find the third derivative of g(v) wrt v.\nAnswer: -48*v - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2625640 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d - 15. Let w be (-2 - -2)\/(d - -7). What is the remainder when 7 is divided by (1\/4 + w)*20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 624*x - 29. List the prime factors of l(1).\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1842*m + 257262 = 207*m + 648*m - 270*m for m.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -925*j - 136. Let f(x) = -2*x**2. Calculate a(f(h)).\nAnswer: 1850*h**2 - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, v: 4, f: 1, n: 2}. What is prob of picking 1 x and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*s - 3*s. Suppose 0 = 3*u - 6*u + s. Suppose 9*g = 183 - 156. Solve 5*w - 5 = -u*t, 4*w + g*t - 3 = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5671.029 millennia in decades?\nAnswer: 567102.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 24*h - 26. Let l be f(-25). Put l, 2, 0, 1 in decreasing order.\nAnswer: 2, 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -185. Let j = -41 + 15. Let v = j + b. What is the remainder when v is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 95*u + 11. Let z(d) = 63*d + 7. Let q(s) = -5*x(s) + 8*z(s). Let k be q(4). Let w = 201 - k. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28119126751 - 1.33?\nAnswer: -28119126752.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + a**2 + (-18*a + 13*a + 98*a)*(0*a + 15*a + 10*a) as i*a + k*a**2 + q and give k.\nAnswer: 2326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31564995 and 132?\nAnswer: 126259980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 - 4. Suppose 2*d - 6*h = -n*h + 44, 2*d - 5*h = 49. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11\/219 (b) 3\/4 (c) -3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 8*a - 3*h - 36, 3*a + 9 = -h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18191328 divided by 4?\nAnswer: 4547832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 10. Let h be j(3). Let g be (h\/(-2) - 2)\/(-2). Let y(o) = g*o + 2*o - 13*o - o**2 - 7. What is y(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3956 - -6773. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose -4*z = -m*z. List the prime factors of z + (6 - (-4)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0 + 6*k**2 + 1\/12*k**4 + 7*k - 7\/6*k**3. Let c be g(5). Solve 0*n + c = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -93*c**3 + 8*c**2 - 9*c - 35. Let o(u) = -2*u**3 + u**2 - u - 5. What is -2*b(g) + 14*o(g)?\nAnswer: 158*g**3 - 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/5)*p)**17 assuming p is positive.\nAnswer: p**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.87 - -1.47. Let t = d + 3. What is the nearest to t in -1\/2, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 257, 258, 259, 260, 261, 262?\n\"Answer: v + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/7, -0.11, -12\/7, 0.13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 4984.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289 - -868\/3. Suppose -5*j + 4*u = -4 - 4, -u = 2. Which is the nearest to j? (a) s (b) -3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:00 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 363*f**2 - 89*f + 21. Is k(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53262317 and 11847?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**3 - 146*j**2 + 9*j - 557. Determine b(-21).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/3 + 8\/(-4). Sort 5, v, 0 in decreasing order.\nAnswer: 5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 8*r - 2*f - 37, 4*f + 167 = 5*r. Suppose 2*j - 15 + r = 0. Put 0, j, -2 in decreasing order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 - 7*o - 6. Let m(u) = -4*u**2 - 3*u - 3. Let z(f) = 5*m(f) - 3*w(f). Calculate z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 8*w - 16 + (-1 + 3 + 1)*(-6*w + 17*w - w) as r + f*w and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 10*z - 9. Let t = -2 - -6. Suppose 2*x = -t*s + 2, -s = -5*x + s + 41. List the prime factors of k(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -72, -140, -266, -468?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j*j)**(-21)\/((j*j**(4\/11))\/j)**(-33) assuming j is positive.\nAnswer: j**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d5f (base 16) in base 7?\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 26. Let h = 9 + v. Let q = h - -20. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -93 - 23. Suppose 5*d - 1 = q. Is 3\/(d\/488) - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17385 divided by 14?\nAnswer: 17385\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 535505 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*o + 8 - 21, -4*s - 5*o - 8 = 0. What is the smallest common multiple of 2 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 10659\/659?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, -0.2, 2\/5, 551, 1, -1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + 62939639*g**3 - 16022402*g**2?\nAnswer: -24*g + 377637834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 430*a**2 - 279*a**2 + 610*a**5 - 439*a**2 + 2*a**3 wrt a.\nAnswer: 36600*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 220481\/5956489 + 1\/11051. Calculate the common denominator of g and -53\/55.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 > -221781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71958*w**2 + 2*w**3 + 359792*w**2 - 71954*w**2 - 71954*w**2 - 71970*w**2 - 71956*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 383*m**2 - 395*m**2 - 4*m + 4*m. Let d(q) = 3*q**2 - 4. Let p(u) = 7*u**2 - 9. Let i(n) = -9*d(n) + 4*p(n). What is y(i(x))?\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (8 - (9 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 94*z + 188 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 100 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*v + 1\/6 + 1\/2*v**2 - 1\/6*v**3.\nAnswer: -(v - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*a, -4*a - 8 = g - 6*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3163 (base 7) to base 13\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let n(u) = -9*u - 6. What is -n(p) + 5*r(p)?\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-42))\/((-2)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 252, 262, 272?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**2 - 24 + 0*d + 2\/25*d**5 + 0*d**3 + 1\/5*d**6 - 1\/5*d**4. Factor t(a).\nAnswer: 2*a**3*(a + 1)*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 22 - 17*x + 24*x - 2*x + 9*x**2 - 2*x. Let s be j(10). Which is bigger: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -3 - sqrt(270)\/sqrt(6)) + -5.\nAnswer: -8 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.223 + -0.003. Let z = a + -0.074. Let i be (1 - 5)\/(-1 + -1). Put i, z, -7 in descending order.\nAnswer: i, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14430)\/33 + -1 + 3 + -4. Let j = s - -438. Find the common denominator of -87\/82 and j.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2001*y - 2589*y + 1903*y - 2886*y + 4.\nAnswer: -5573*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/3, 0.5, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 - 113. Let z be (-2)\/(3\/2 - d\/(-12)). What is the closest to 0 in z, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10000111110011?\nAnswer: 10000111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -100*s**3 - 20*s**2 + 84*s + 36 = 0.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b87 (base 14) in base 6?\nAnswer: 1120335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10009997597 - -0.3?\nAnswer: -10009997596.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511853 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 + 112. Let f = 58 + h. Let r = f - 34. Is 2\/209 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157445257*j**6 + 2*j**2 + 6114557*j.\nAnswer: 18893430840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 42*s + 29. Let d be a(-21). Let x = 574 + d. Calculate the least common multiple of 20 and x.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n - 107. Let q be f(-9). Calculate the lowest common multiple of ((-390)\/(-1 - q))\/1 and 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655972.\nAnswer: 2, 37, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -51. Sort -0.01, f, 0, -1\/3.\nAnswer: f, -1\/3, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -68. Put 5, 1, 0.1, y in descending order.\nAnswer: 5, 1, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-14 - 45 + 12)*(-33*h + 5*h - 8*h) - h + 2 - 2 + (-5 + 0 + 3)*(4*h + 0*h - 2*h) + 4*h + h - 2*h.\nAnswer: -3386*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + -6*(4 + sqrt(1573) + 1 + sqrt(1573) + sqrt(1573)) + (sqrt(1573) + 5*(-1*sqrt(1573) - sqrt(1573)))*3))**2.\nAnswer: 816750*sqrt(13) + 79660350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -865 - -1565. Calculate the remainder when o is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1002 and 23887012.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - -41. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36887*r**4 + 384511?\nAnswer: -147548*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 at most as big as 44.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 3585219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmfffmf. What is prob of sequence ffmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-66)*3*1408\/(-768))\/((-174)\/(-54)).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -102, -164, -242, -342, -470, -632?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -483, -994, -1547, -2142, -2779, -3458, -4179?\n\"Answer: -21*l**2 - 448*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/2*3*(-4)\/(-18). Factor 18*x**2 - 13*x**2 - x**4 - z*x**4.\nAnswer: -5*x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 121\/3. Let m(o) = o**2 - 14*o + 14. Let l be m(8). Let u be (-8)\/12 + l\/(-6). Which is the nearest to j? (a) -2 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 14 + -3 + -13 + (-19 - -59).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 8\/3, 2\/13, 1\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-30) + (4 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*l - 27. Solve -4*g = l - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81879 = -8*o + c, o + 30*c = 25*c + 10199. Is o a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -195.704 and 3.2.\nAnswer: -192.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.78 - 0.7.\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -26*f**2 - 11. Let k(s) = -5*s**2 - 2. Let l(m) = 2*i(m) - 11*k(m). Let j(n) = 50*n. Calculate j(l(o)).\nAnswer: 150*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*q - 5*m, 786*q - 790*q - m + 23 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 3*u - 7. Let f be g(-5). Let h = -3 + f. Is 0 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**2*k - 287721*d*k - 3*d*n - 592*k*n + k - 3022*n - 5 wrt d.\nAnswer: -6*d*k - 287721*k - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:35 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51640863 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 672295431*i**3*l**2 - 2*i**3*l + i**2 - i*l + 6429352 wrt l.\nAnswer: 1344590862*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170595*u**3 + 6408752*u**2 wrt u?\nAnswer: -1023570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from tccttyc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/55 - (-211)\/11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (5 - -4 - -1 - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:09 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 4*l**2 - l**2 + (38 + 17 + 74 + 3)*(-4*l**2 - 2*l**2 + 3*l**2) to w*l + y + s*l**2 and give s.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36001276 and 3693942.\nAnswer: 2268080388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5) + -1 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -26)*((-522)\/(-12) + -4). Suppose -15*t + j = -514. Calculate the remainder when t is divided by -16*6\/(-4) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122222012212 + 10?\nAnswer: 22122222012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26\/9, 2 in descending order.\nAnswer: 4, 2, -26\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 523302266 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16347 = 2*a + 187, -o - 2*a = -4031. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:56 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159261 is divided by 474.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 92115?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14576 + 117*t**2 - 14576 - 2*t)*(-1 + 3 + 1).\nAnswer: 351*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (1 - 5))*1\/2. Let y be (p - 63\/15)*(8 + -13). Is 20 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3780 - 3719 = -61*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5881.\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 3*a - a - 3*a. Let q(t) = t + 0 + 0. Give i(q(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23511\/152906 + 1\/11762. Sort 2\/75, w, -2\/5 in descending order.\nAnswer: w, 2\/75, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3676.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 81 + 5*z + 24 - 35 - 49*z - 97*z. Is f(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -12. Which is greater: h or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 + 16*i + 9. Let m be n(-6). Let z be (-1148)\/245 - 6\/m. Let d = z - -4. Which is greater: d or -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6742 is divided by 402.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20293)\/(-14) + 7 + 4\/8 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.246nm in kilometers?\nAnswer: 0.000000000065246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/227062 and -21\/11?\nAnswer: 227062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 2. Let z = 97 + -94. Let g(j) = 1 + z - 3 + 18*j - 17*j. Let n be (-1)\/2*(-4 - -2). Give n*s(w) - g(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49548*d**3 + 5*d**2 + 7*d + 118 wrt d.\nAnswer: 297288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.755921l to millilitres.\nAnswer: 4755.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -260316 - -164?\nAnswer: -260122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10620\/19 + -52948\/95. Suppose -14\/5*b**4 + p*b**5 + 8\/5 + 8*b + 26\/5*b**2 - 28\/5*b**3 = 0. Calculate b.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*v - 216, -v = -5*t + 4*t - 48. Calculate the common denominator of -40\/7 and (t - 2)*(-7)\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/8 + 17*j**3\/4 + 123*j**2\/8 + 45*j\/4 = 0.\nAnswer: -30, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100001101101 (base 2) to base 13\nAnswer: -c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 = -72. Let t(v) = -59*v + 50. Let g(f) = -21*f + 17. Let a(s) = -17*g(s) + 6*t(s). Calculate the remainder when a(z) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80973835 equal to 80973834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141244 - 69172. What are the prime factors of w?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d + 1. Let h be ((-21)\/9)\/((-4)\/(-12)). Let q be (-10)\/35 + 5\/h. Calculate f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101111111 (base 2) to base 14\nAnswer: -47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10569 is divided by 1\/13 - (-48)\/(-1560)*-355.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**4 + 3*k**3 - 1891*k wrt k?\nAnswer: -312*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -292\/517 + 18\/47. Put u, 5, -0.5 in ascending order.\nAnswer: -0.5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*sqrt(52)\/sqrt(4) + sqrt(78)\/sqrt(6) + 0 + -6*(sqrt(52)*2 - (sqrt(13) - (-1 + 1*sqrt(13) + sqrt(13)))))**2.\nAnswer: -13826 + 552*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-2)*a*a)**(-38)\/(a\/(a*a*a\/((a*a*a**2)\/a))*a*a**(-4)))**(-35))**(8\/19) assuming a is positive.\nAnswer: a**(20720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d**(-18)*d**(-3\/5)\/d*d*d*d**(-2\/9)*d*d*d*d assuming d is positive.\nAnswer: d**(-442\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 357 = 1227. Suppose 0*o - 8*o + v = 0. Sort -1, 0, o in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010010101 - 1110110?\nAnswer: -110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8585 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 471*h + 667*h - 32748 + 28 - 33284 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -538 + -64?\nAnswer: -59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -16, -4*h - 5*u + 312 - 20 = 0. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8110, 8101, 8088, 8071, 8050?\n\"Answer: -2*g**2 - 3*g + 8115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 4*p - 32, -14 = 1470*x - 1468*x - 2*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -238202.\nAnswer: 5\/238202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.51 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 (base 16) in base 3?\nAnswer: -1002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 56940?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/11)\/t)**(-44)*t**(2\/27)*(t*t\/t**(-8))\/t*t)**29)**(2\/23) assuming t is positive.\nAnswer: t**(97208\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -303 or 30456?\nAnswer: 30456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-1035)\/54 - 10\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -3012, -7496, -14630, -24912, -38840, -56912, -79626?\nAnswer: -107480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -4.1 (b) 50 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40311, 4, 5, 52.\nAnswer: 4, 5, 52, 40311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 18*x - 205. Let b be n(11). Suppose -5*j + j = -r + 28, -j = -4*r + 52. Let h be 8\/(-10)*30\/r. Put -1, b, h, 1 in increasing order.\nAnswer: b, h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a - 1450 - 1145 - 177 = 0 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 14. Calculate f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 484.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8442 and 126099561.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 150. Suppose 548*s - 5850 = 223*s. Calculate the greatest common factor of t and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/21)\/f)**(-48)*((f\/(f\/f**(-16)))\/f)\/(f**(16\/7)\/f))**(11\/7) assuming f is positive.\nAnswer: f**(1936\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p - 54*p = 2364. Let b = 31 - p. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/4 - 119916*t**2 + 48917925*t\/4 - 623670381\/2 = 0. What is t?\nAnswer: 51, 479562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187336935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 + -197. Calculate the greatest common factor of o and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.572 - 0.27. Let d = -0.98 + r. Round d to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/15)\/(-1) + (-33984)\/(-40). Let l = -94 + y. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -49. What is the least common multiple of 200 and q?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 339, -4, -1 in decreasing order.\nAnswer: 339, 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 - (-114)\/(-16). Let a = -731\/120 - m. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -17*y + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c + 22*c - 1968 = -257 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8866\/39 + 4 - (-5)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r + 38. Let a be q(-16). Solve 202*h - 20 = a*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 997*i**2 + i**3 - 4*i**3 + 159*i**2 + 262.\nAnswer: -3*i**3 - 838*i**2 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 74657*q**2 + 74658*q**2 - 7*q + 16*q.\nAnswer: (q - 1)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5\/3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85305\/(-2585) - (0 - (-1224)\/(-37)).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c69f9 - 2?\nAnswer: -c69fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (358 + 41*g**3 - 358)*((0 + 0 - 2*g)*(g + g + 0*g) + (g**2 - 2*g**2 - g**2)*(2 + 0 - 3)).\nAnswer: -82*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 3*v. Let j(a) = -a**2 + 13*a + 16. Let d be j(14). Let b(o) = -2*o**2 + 2*o**2 - o + o**d. Give 3*b(u) + k(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 34*s**3\/3 + s**2\/2 - 1. Let u(v) = v**2 - 23*v - 107. Let j be u(27). Is k(j) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11672650, 11672646, 11672642, 11672638, 11672634?\nAnswer: 11672630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -1636\/13. Let l = 130.7 + -131. Which is the smallest value? (a) m (b) 10 (c) l (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let k(y) = 2*y**2 - 142*y. Determine g(k(c)).\nAnswer: 6*c**2 - 426*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.282 * -219\nAnswer: -61.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-2)*192\/384?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 3\/(-1) + 4. Let j = -5 - i. Let w be (2\/(-3))\/(j\/(-3)). What is the third smallest value in w, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 31 - -1) + (34 - -14) + -43?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -17 (c) -2\/11 (d) 2\/343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 321.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*b*s**3 - 84*b - 2 wrt s?\nAnswer: -120*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2502*m + 404*m**2 - 2556*m - 349*m**2 as r*m**2 + b*m + c and give r.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32b (base 16) to base 4\nAnswer: 30223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -2*r. Is (3\/2)\/(r\/56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 + 193 = 8*x - 337. What is the remainder when x is divided by 80?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/60 + 5*j**4\/24 + 2*j**2. Let v be (-62)\/(-4) - 27\/18. Suppose -v = 4*u - 38. Calculate q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 386*u - 1140.\nAnswer: -2*(u - 190)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 - -8) + 0)*(-11)\/(-66). Which is smaller: x or -36\/1217?\nAnswer: -36\/1217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykyyykyyyyy. What is prob of sequence kyyy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1519 + 1518.9999999977. What is q rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 - 1436*d**2\/3 - 111872*d - 8430144.\nAnswer: -2*(d + 166)*(d + 276)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -20. Let t = 12 + x. Find the second derivative of 0*c**5 - 5*c**t + 0*c**5 + 4*c wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -962 = -4*i - 950. Let p = 8 + -10. What is the nearest to p in i, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10469852 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81190289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 36*w**2 - 70*w - 4. Let i be j(-34). Calculate the highest common divisor of i and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 35*z - 257 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 9*j - 30 = 14*j, 16 = b - 3*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6743, -13486, -20225, -26960, -33691, -40418?\n\"Answer: 2*i**2 - 6749*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*s + 1492 - 749 - 740)*(0 + 3 - 1) - 2*s + s + 4*s to the form p*s + m and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 15, 0, -2, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/10 + 2*x**2 + 14*x. Differentiate t(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2345, 2182, 1911, 1532, 1045, 450, -253?\n\"Answer: -54*u**2 - u + 2400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**5 - 1132466*d**3 - 1438*d + 2200?\nAnswer: -120*d**3 - 6794796*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from jezjvvjzszejtzv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*w = -40, u - 13 = -0*u - 4*w. Let z = -9 + u. Suppose -z = 4*k, 3*m - k = -m + 116. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.78736km to millimeters.\nAnswer: 6787360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 3308*s**2\/3 - 1536920*s\/3 + 45060400.\nAnswer: -2*(s - 770)**2*(s - 114)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.69, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 35 = -5*x, -2*u - 3*u - x = 17. Let y = u + 8. Suppose y*f + 29 = 8*f - g, 3*f - 22 = g. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 4 (c) -0.1 (d) -5 (e) -15.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 16.06. Let d = 2.942 - -0.118. Let i = d - g. What is the smallest value in 1, i, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from {c: 9, r: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k + 2*y + 12, 0 = 3*k - 3*y - 3. Suppose 0 = -s + 5*h + 16, 2*s = k*h - 4 + 31. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31740 and 507840.\nAnswer: 507840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(15))\/sqrt(5) - (sqrt(75) + -1 + sqrt(75))**2.\nAnswer: -301 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 19\/4. Let h(b) = 3*b - 6. Let s be h(g). Suppose -4*u = s - 73. What is the greatest common divisor of u and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -f - 2. Suppose 5*p - 2*a = 29, 23 = p + p + 3*a. Calculate the remainder when f is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/(-35) + -4)\/(3\/(-42)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 140 = 6*f. Let v(s) = -95*s - 637. Calculate the lowest common multiple of v(-7) and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856549 smaller than 9422033\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**3\/3 + 6*h**2 + 6*h + 12. What is w(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = 3*o + 42, -36*r + 2 = 5*o - 40*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w - 4. Let r(u) be the first derivative of -u**2\/2 + 278. Let t be ((-30)\/(-8))\/((-3)\/(-8)). Let o = t + -11. Give o*j(l) + 6*r(l).\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8932.608 years?\nAnswer: 893.2608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**2\/2 + 5*d - 1. Let x = 33 + -28. Let w(o) = -o - 2. Give x*w(a) + 2*k(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 250153.3 and 903.\nAnswer: 251056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 1. What is w(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 407 and 1332?\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 - 1. Let y(n) = n + 3. Let z be y(-4). What is the remainder when 6 is divided by d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkky when four letters picked without replacement from {k: 4, y: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 + 48*q**4 + 168*q**3 - 3920*q**2 + 12348*q.\nAnswer: -4*q*(q - 7)**3*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160859 is divided by 1198.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 31 - (76 - 90)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbhhzs. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, -39, -47?\n\"Answer: -8*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c7 (base 14) to base 6.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/5 + 6\/15. Let i = k - 10. Suppose -i*c + 38589265 = -3410735. Round c to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (19\/(-3))\/(-1 + (-2)\/(-3)). Let t = 7 + r. Suppose -15 = -3*v - 3. Calculate the smallest common multiple of v and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)\/b)\/(b\/(b*b**2*b)))**(15\/2)*b**(3\/4)*b*b*b**3*b*b*(b\/(b*b*b**(2\/5)\/b*b))\/((b*b**(-6))\/b*b*b) assuming b is positive.\nAnswer: b**(607\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18732011\/441 - -42476. Let q = 1\/147 - z. Let x = 6 - 5.6. Which is the biggest value? (a) q (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/110)\/(62 - 79264\/1280)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -844, -2043, -4376, -8221, -13956, -21959, -32608?\nAnswer: -46281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-77)*-14*(-480)\/15.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3589, 4034, 4461, 4870, 5261, 5634?\n\"Answer: -9*k**2 + 472*k + 3126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322216 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1021 - -1928. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let h(c) = 4*c. Let y(z) = -4*h(z) - 18*m(z). Let i(w) = 5*w - 28. Determine y(i(v)).\nAnswer: 10*v - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h**7\/h))\/h)\/h*h)\/h)\/h*h**(-5))\/(h**(1\/5)*h*h\/(h\/h**2))*(h**(-1))**(-29)\/((h**(-1)\/h)\/((h*h\/(h**(-7)\/h))\/h)) assuming h is positive.\nAnswer: h**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 35 = -30*p. Let o(z) = -z**3 - z**2 + 5*z + 3 + z - 5*z**2. Determine o(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73429, -146855, -220281, -293707?\nAnswer: -367133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/6 - s**2\/2 + s. Suppose 4*l - 110 = 5*c, -5*l + 2*c = -3*l - 54. Calculate the remainder when l is divided by m(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*j - 8399, 2*m + 3003 = j - 1199. Suppose 2*x = b + 3*b + j, -x + 2100 = -4*b. Round x to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069 + 993 + (1 - 16) + -3 + -5?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + l)*(-2 + 6 - 2)*(-1 + 1 - 1) + (3 - 1 + 0)*(10 - 14*l - 10).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkqkfvir. What is prob of picking 1 q, 1 k, and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, 8, -0.2, 0.5.\nAnswer: -0.2, -0.1, 0.4, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6946859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30018849.\nAnswer: 3, 7, 1429469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4 + (-5 - 1 + 4)*(-1 - 2 + 5) + 1 + 1 - 4)*(5*j**5 - 5*j**5 - j**5).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*v**2 - 2 - 113*v**6 + 56*v**2 - 56*v**6 - 56*v**6 - 48*v**6 wrt v.\nAnswer: -32760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33865)\/13546*84\/5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/59900 and -9\/9065.\nAnswer: 108598700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7765 - 7764. Let x = -0.05 + 0.15. Which is the closest to x? (a) k (b) -1\/7 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 76*y**2 + 0 + 0*y + 0*y**5 + 37\/24*y**4 + 82\/3*y**3 - 1\/120*y**6. Differentiate p(a) wrt a.\nAnswer: -3*a**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -10. Suppose -s*h = -4*h. Suppose 0 = 2*i - h*i - 36. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1930\/175 + (-3)\/((-6)\/(-6)) + -8.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95552222 by -1016513.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55 + -59 - (0 + -1). Suppose 11 + 5 = 4*b. Let s = b + m. Is -1\/23 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039050 minus -0.5?\nAnswer: 1039050.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -549 - 315. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2 + 12. Let k(i) = -i**2 - 8*i + 2. Let m be k(b). Let z(s) = -7. Let w(p) = -p - 1. Let r(f) = -2*w(f) + z(f). Determine r(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/11 + 16307*c**3\/11.\nAnswer: c**3*(3*c + 16307)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 58*a - 399 - 435. What is the remainder when 9023 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let j(c) = 822392*c. Give j(h(i)).\nAnswer: 822392*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 14. Suppose -b*p + 3*p = 18. Let h(y) = -y - 1. Calculate h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4227473966345 and -0.3.\nAnswer: -4227473966345.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p - 5. Let w be b(8). Let l(f) = 85*f**3 - 179*f**3 + 2*f**2 + 91*f**w. Let a(r) = 16*r**3 - 11*r**2. Give -4*a(m) - 22*l(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 5*v**2 - 4*v**2 + (5*v - v - 2*v)*(v + 0*v + 0*v) + 11*v**2 - 114*v - 114*v + 234*v - 1.\nAnswer: 16*v**2 + 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 163, 300, 449, 616, 807, 1028?\n\"Answer: w**3 + 130*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 9018?\nAnswer: 18036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*d + 2*z, 5*d - 2*z + 8 = -0*d. Suppose 2*x = -d*x. Suppose 5*r - 54 = -4*p, r + 3*p - 13 = -x*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 4:57 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5409, -0.5, 0.3 in ascending order.\nAnswer: -0.5409, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 72*g + 363. Let k be z(-5). Determine w, given that 4\/3*w - w**k + 0 - 1\/3*w**4 + 0*w**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 9)*(-4)\/(-70). Which is the closest to q? (a) 2\/5 (b) 3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 41*h**2 - 41*h**2 + 4*h**3 - h**4 to the form r*h + o*h**4 + g*h**3 + j*h**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10848099593066 and 0.12?\nAnswer: 10848099593065.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*p**3 - 6*p**2 - 1309*p**3 - 718*p**3 + 10 + 6*p**2.\nAnswer: -1941*p**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:14 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/4 + d**4\/12 - d**2 - 111*d. Let o(p) = -4*p**2. Give q(o(h)).\nAnswer: 240*h**4 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**3 + 19324*i**2 - 64474*i + 19344 = 0?\nAnswer: -3224, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1015535 (base 8) to base 10\nAnswer: -269149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4320)\/10)\/(-36)*(-2)\/(-36)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 777 + -1499\/2. Find the common denominator of t and 61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39014012 divided by 27947\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 54. Let c be 2\/(-30)*2 + 0. Let s = -23\/60 - c. What is the closest to -1 in s, 1, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 27. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 28 (c) -5 (d) -1 (e) -68043 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -22. Find the second derivative of t + 17*t**5 - 35*t**4 + d*t + 35*t**4 wrt t.\nAnswer: 340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 4 + -10 + 3 + (41 - 25 - 9).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:16 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0465 + -2\nAnswer: -2.0465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -28*d. Let n(r) = -95*r**2 - 10. Let l(x) = 142*x**2 + 14. Let b(c) = -5*l(c) - 7*n(c). Give b(j(f)).\nAnswer: -35280*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ssuuuuuruuuuuussusr?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 264.2318l?\nAnswer: 264231.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -30. Let k be (8\/j)\/(12\/(-18)). Let r(c) = 2*c**2 - 5*c**k + 0*c**2. Let p(t) = -2*t**2. Give r(p(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50788.\nAnswer: 2, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1750 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10078612*j**2 - 2*j + 3018798 wrt j.\nAnswer: -20157224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - -670. What are the prime factors of d?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051645 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/854 and 97\/13298.\nAnswer: 93086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 11*w + 84. Is -18 + w - (-216 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4344 + 4355. Calculate the remainder when 2578 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50821 (base 10) to base 6.\nAnswer: 1031141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(14)\/sqrt(7) - (-1 + sqrt(8)) - (sqrt(10)\/sqrt(5)*4 + sqrt(2)*2*5))*-5)**2 + 3.\nAnswer: -4500*sqrt(2) + 12153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 304*l = 2*u + 301*l - 225, -11*u + 2*l = 890 for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 72*n**3 - n**2 + 2*n - 1. What are the prime factors of w(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1039*w + 3113. Calculate q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/84 and -25\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 150 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 3, -0.074, 0.28, -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4, 0 = -5*b + 4*r + 4 + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 8*w - 22. Give i(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) + (-220)\/6. Let v = o + 56. Let u(h) = 14*h + 2. Let b be u(2). Calculate the greatest common divisor of v and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((9 - 10) + 2 + -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t = -525*t - 866*t + 6020 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -11. What is the lowest common multiple of 9 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7896, 15792, 23688, 31584, 39480?\nAnswer: 47376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103431637 to the nearest integer?\nAnswer: 10170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + -2*sqrt(500) - sqrt(500))*-1*6*-5 - (sqrt(500)*-1 + -4 + (sqrt(500) + 2 - sqrt(500)) + -4))*2)**2.\nAnswer: -28320*sqrt(5) + 6962144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + -1 + -6. Let q(y) = -4*y + 7. Let t(h) = -h + 2. Let p(b) = d*t(b) + 2*q(b). Let z(v) = 7 + 3*v**2 - 4 - 3. Give z(p(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172330*m**5 - m**2 + 77538*m + 4.\nAnswer: 10339800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2060*z = 2055*z + 120 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364601598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 5*o. Let y(j) = 4*j**2 + 5*j - 1. Let d(t) = 2*g(t) - 3*y(t). Calculate d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 1. Let w be h(1). Solve 0*y + 4*y + 4*b + 36 = 0, 4*y - 5*b - 9 = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -55. Suppose 0 = y + x*y - 20. Suppose -5*o + 297 = y*o. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q + 21*q - 6*q + 17*q.\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*z**3 - 992*a**3*z - 2*a**2*z**3 - a*z**2 - a*z - 2592*z**3 wrt a.\nAnswer: -6*z**3 - 5952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6300\/16)\/(-21))\/(11\/528*-18)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21 = -q, 0*q - 4*q + 75 = -5*z. Suppose q*d + 16*d = 2604. Calculate the lowest common multiple of d and 102.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/12 - 14*z**2. Let f(w) = 162 + 141 - 43 + w**2. Determine i(f(j)).\nAnswer: -2*j**2 - 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let l(x) = 173*x + 343. Give r(l(o)).\nAnswer: -173*o - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -61*f - 4. Let l(g) = -31*g - 2. Let n(c) = -3*h(c) + 5*l(c). Let y be n(2). Suppose -y = 4*i - 374. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20704, -20971, -21416, -22039, -22840, -23819?\n\"Answer: -89*z**2 - 20615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 3*r**2 + 2. Let a(l) = -4*l**3 - 4 + 1 + 5*l**3 + 4*l**2 + 4*l**3. What is 3*a(g) + 4*h(g)?\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 5\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -399 (base 14) in base 15?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-15)\/10) + (-92)\/(-3). Suppose 16 = -y*k + 28*k. Let w = 27 + k. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2886 - -16914?\nAnswer: 14028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 111*y - 5126. Is 14 a factor of k(100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 19 + (-214)\/(-42)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 6*s + 3. Let p be x(5). Let t = 67 - 62. Suppose -q - p = -2*u - 4*q, t*q + 82 = 3*u. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4929984 and 1951452.\nAnswer: 93669696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*y - y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*k**2 + 294*k**2 - 1705*k**2 + 711*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = -2*w - 820 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**2*q + 131*a**2 - 6329*a + 3*q wrt a.\nAnswer: -16*q + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -177, -188, -199, -210, -221?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/15 - 14*m**4\/15 - 22*m**3\/5 + 206*m**2\/15 + 544*m\/15 + 96\/5 = 0. Calculate m.\nAnswer: -4, -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 135*x + 55. Let h(q) = -6*q - 41. Let w be h(-16). Let d(b) = 5*b + 2. Calculate w*d(k) - 2*i(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 389, 768, 1147, 1526, 1905, 2284?\n\"Answer: 379*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5 - 0 - 1, 2*p = -9*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:34 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 + 94*o - 6531. Give r(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 24 = -r - f, 3*f + 7 = -2*r. Let x = 61 + -245\/4. Which is the closest to -14? (a) r (b) x (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300)*2 + sqrt(1300) + -2 + (3*sqrt(52)\/sqrt(4) - sqrt(117)*4) + 0)**2*-6.\nAnswer: -34452 + 756*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or 3675?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43740537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**3 + 0*h**4 + 0*h - 9*h**2 - 1\/20*h**5 + 1\/160*h**6 + 0. What is t in u(t) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*w + 10*j*w + 96*w wrt j?\nAnswer: 4*j*w + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let d(a) = a**2 + 73*a + 1291. Let m be d(-30). Let h(n) = -n**2 + 10*n - 1. Calculate m*h(y) - 2*p(y).\nAnswer: -y**2 + 12*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4416135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20988 is divided by 10493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/60 - h**4\/4 + h**3 + 7*h**2. Let v(r) = -2*r**2 - 13*r + 13. Determine -13*q(o) + 6*v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 39*z**2 + 2*z. Let m(i) = 315*i + 14. Determine m(b(u)).\nAnswer: 12285*u**2 + 630*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3824 - 3756. What is the nearest to o in -5, 4, 2\/3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-20) - (180\/16)\/(-9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 820, 856, 892?\n\"Answer: 36*j + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 1. Let t be 2 + (-11 + 0)*b. Suppose -3*r = 5*j - 52 - 4, -j + 28 = -5*r. Calculate the greatest common divisor of t and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*z = -11771692, 132*u = 131*u - 5*z + 2942893. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78067 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/4*(-2 - 0). Suppose -y*n + 15*n - 36 = 0. Factor -5*z**2 - n*z + 23*z - 2*z - 4.\nAnswer: -(z - 2)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1830888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64072 and 5350012.\nAnswer: 10700024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -0.07, -693\/8, -0.6, 15, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576437*g**3 + 1152866*g**3 - 576434*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724928474 to the power of 1\/2, to the nearest integer?\nAnswer: 52201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 148881614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = d, 0 = 7*s - 5*d + 10*d + 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/6 + 989*a**3\/6 + 5638*a**2 - 2863*a. Differentiate b(l) wrt l.\nAnswer: -4*l + 989","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -269*n. Let t(d) = -76*d**2 + 105*d**2 - 56*d**2. Give u(t(x)).\nAnswer: 7263*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*c + 5*c - 1, -c - 4 = 2*n. Differentiate 2*a - 4*a**3 + c*a**3 + 5*a**3 + 2*a**3 - 74 with respect to a.\nAnswer: 27*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 1. Determine a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -308, -1204, -2698, -4790, -7480, -10768?\n\"Answer: -299*j**2 + j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p + 5*c - 113, 0 = p - 3*c - 7. Let i = p - 20. Suppose i*g - 3*g = -9. What is the remainder when 23 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3\/3 + 17*t**2\/2 - 29*t + 23. Let k be s(13). Suppose k*w = 21*w + 4. Solve -f + 3*d + 5 = w*d, 3*f = -5*d + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let f(u) be the second derivative of 7*u + 0*u**3 - 1\/2*u**4 + 0*u**2 + 0. Determine h(f(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21628.75 and 0.3685.\nAnswer: 21629.1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 - 37*f**4 + 6*f + 4*f - 4 + f**2 + 2 - 7*f in the form o*f**2 + a*f**4 + b + x*f + p*f**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookoookkko. Give prob of sequence okk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 55, 4\/17, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by 592748\nAnswer: 47\/592748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -188\nAnswer: -23\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (154\/55)\/(217\/(-620))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 34. Let f(y) = 144*y**2 + 22*y + 99. Let m(d) = -51*d**2 - 8*d - 36. Let r(z) = -4*f(z) - 11*m(z). What is r(g(c))?\nAnswer: -735*c**2 - 7140*c - 17340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2042 divide 96644575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -264, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2792.03952 and 29280?\nAnswer: 26487.96048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19007 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662 + 3*b - 2595 + 5257.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/2 + 42*j = 0.\nAnswer: 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n**2. Suppose -5*c - 23 = -73. Let k(z) = 6*z**3 + 5*z**2. Give c*r(l) - 2*k(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17006\/7 + 2428. Suppose -4*y = -2311 - 3629. Let o = -13417\/9 + y. What is the common denominator of o and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:36 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 18*q**2 - 63*q - 271. Give w(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3261607.8 to the nearest ten thousand.\nAnswer: -3260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:33 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51 - (-23)\/(2530\/(-4125)). Solve 3\/2*y**3 + 0 + t*y**2 + 21*y = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18*(-261)\/29*1\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + (sqrt(9) - sqrt(18)\/(sqrt(2)*1)))*-5)\/(sqrt(75) - (2*sqrt(75)*4 - sqrt(75)))*1*5.\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -50*u**2. Suppose 11 - 9 = w. Let y(v) = 4*v**2 - v**w - 8*v**2 + 4*v**2. Determine y(x(n)).\nAnswer: -2500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345 by -69.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 3*l. Suppose -216 = -20*o + 12*o. Suppose -8*r + 45 = -o. Calculate the remainder when r is divided by w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234403 (base 7) to base 14.\nAnswer: 1163a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d**2 - 5*d - 16. Let o(x) = 5*x**3 - x**2 + x + 2. Let g be o(-1). What is the units digit of t(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1223 = -6*p - 5560 + 36483. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*n - 5*x - 20, -5*n - 311977*x - 42 = -0*n - 311962*x + 18 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 0) + (-243 + 267 - (2 - -32))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Solve -10 + s = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 194889, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 7*b + 7. Suppose 0 = 4*q - 2 - 18. Suppose 5*z - q*m - 14 = -m, 2*z - 3*m = 0. What is the tens digit of o(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r - 66*r + 251 = -5*m, 0 = -3*r + 2*m + 393. Calculate the highest common factor of r and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/21 + 1\/(-3). Let h = -0.0807 - -5.0807. Which is the biggest value? (a) h (b) -1\/3 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 1. Let p(f) = -7*f**2 + f - 5. Let x(a) = -p(a) + 6*z(a). Let v be x(-1). Is v*(-2)\/1 - -20 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108725090 to the power of 1\/2, to the nearest integer?\nAnswer: 10427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10647*f**2 + 2*f**3 - 1 - 10646*f**2 - 1 - 2 - f to the form u*f + w + x*f**2 + q*f**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13952 and 258984.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*r = 5*z - 74*r + 10, -3*z + 4*r = 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6069800, -12139601, -18209402, -24279203?\nAnswer: -30349004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13 + 125*t + 117*t + 123*t + t**2 - 361*t. Determine s(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)*c**(-2))**(-4\/17)\/((c*c\/(c**(-1\/4)*c)*c**5)\/((c\/c**(-1)*c)\/c)**(9\/5)) assuming c is positive.\nAnswer: c**(-621\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11738219 is divided by 103?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 + 7*r - 7. Let j(z) be the first derivative of -z**4\/4 + 2*z**3 - 3*z**2 + 6*z + 7. Let f(w) = -5*j(w) - 4*u(w). Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 292 + 585 - 203*c**3 - 291 - 2*c**4 - 147*c**3 as v + l*c**4 + k*c + j*c**2 + f*c**3 and give f.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23500 = c - 5*h, 4*c + 0*c = -5*h + 93925. Let u = -446515 - c. What is u rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*a**2*s + 5*a**2*y + 131*a*w*y - 53625*a*y - a + 23644*s*w*y + s*w wrt s?\nAnswer: 54*a**2 + 23644*w*y + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -5*q, -2*n = -7*n - 5*q + 30. Sort -4, n, -3\/29 in ascending order.\nAnswer: -4, -3\/29, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - ((-666)\/(-36) + -15)*78\/(-21). Let t = 13 + -9. Solve -p = -10*a + t*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 1\/2*z**2 - 2 - 5*z. Let l be 10\/6*3\/1. Calculate r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -64. Suppose -z*o + 15*o = 0. Solve o*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133300003 (base 4) in base 14?\nAnswer: 35575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*l - 70, 2*b + l = 4*b + 37. Let z = b - -16. Solve 0 = 4*o - z*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/10*(-376805)\/(-46376)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-4)*(-1848)\/2310.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7941650 and 876320.\nAnswer: 127066400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.3, -80\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**3\/2 - q**2 + q. Does 3 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7)*-2)**2 + 2 - (1 + (sqrt(84)\/sqrt(3))\/sqrt(4)) - (sqrt(14)\/sqrt(2)*2 - sqrt(252)\/sqrt(4))*6.\nAnswer: 9*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*f - 1801170 = 17*f - 24*f. What are the prime factors of f?\nAnswer: 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -z + 5, 0*l - 2*z - 18 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4\/5 + 138*u**3\/5 + 2196*u**2\/5 + 6342*u\/5 - 8673\/5 = 0.\nAnswer: -7, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.064 and -0.1.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 6) in base 12?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.225861ng?\nAnswer: 0.000000000000000225861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-6)\/126)\/((-1)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214710 and 59789.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**2 - 18*u**3 - 6*u**3 - 27*u**2 + 5*u**2 wrt u.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in -305.8, -0.5, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/(-624))\/(66\/32).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*9*2\/(-3). Suppose 3*a + 2*f - 107 = -2*a, -5*a + 101 = -4*f. Suppose a = z + i*z. Solve -4*k = -2*r + 4*r + 10, z*r = 2*k - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12740*x**2 + 9529*x**2 + 7449*x**2.\nAnswer: 29718*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/6*-22 - -4)*9. Suppose 5*g + 3*l - 35 = -0*g, -3*g - 3 = -k*l. Suppose g*x = 4*c + 16, -5*x = 5*c - 0*c - 10. Solve x = -h - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 take away -30?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(272)*1 - (sqrt(272) - (4 + sqrt(272)*-1)**2).\nAnswer: -20*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u + 74. Give q(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -18*r + 102. Let y be a(16). Let h = y + 188. Solve 2*d = 5*i - 35, h*d - 2*i + 20 = -0*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(75) + -1)**2.\nAnswer: -30*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 13*w = -43. Suppose -6*r + w = -5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/1043 + 63839\/112644. What is the common denominator of 2 - ((-119)\/(-20) - -2) and g?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 10. Let i = m + 58. Is (-2)\/(-1 + 0) + 7089\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/24)\/(4686\/88). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -82*b - 391. Let n(q) = -6*q**2. Calculate j(n(l)).\nAnswer: 492*l**2 - 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*i + 10500 = 697*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-35) - (-22)\/5. Suppose -x = t*x. Let n(q) = q + 20. What is the units digit of n(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b + 39. Suppose 0 = d - 4*s + 32, 23*d - 2*s + 16 = 19*d. Determine u(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 30 = 3*k, -3*k + 4*k = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423516988.\nAnswer: 2, 3823, 93089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27114*f - 27105*f - 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 591, 582, 557, 510, 435, 326, 177?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:16 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 6*p**2 + 4*p + 2. Let t be s(4). Let u be t\/4*-2 + -1. What is the first derivative of u*h**3 - 15*h**2 + 15*h**2 - 6 wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(15\/4)\/y)**3\/(y**(-1\/60)*y**(7\/3)))**10 assuming y is positive.\nAnswer: y**(178\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28729, 114897, 258515, 459589, 718125, 1034129, 1407607?\nAnswer: 1838565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2123*c**2 + 4075*c**2 - 2075*c**2.\nAnswer: -123*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-8))\/((-330)\/(-20)*371\/4081).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 8 - (-28 + 37).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 23*a + 879. Let g(f) = 14*f + 440. What is 5*g(o) - 3*k(o)?\nAnswer: o - 437","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v. Suppose v = 5*q + 18 - 3. Does 31 divide (-2)\/3 + (-281)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4288994722 + 0.4289. Round f to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (14 - (0 + -7 - -14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:48 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413.9 minus 5275960?\nAnswer: -5277373.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25545269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*-4*sqrt(1377)*-1*2 - (4 + sqrt(1377)*-1 + sqrt(1377) + (sqrt(1377) - ((sqrt(1377) - 1*sqrt(1377)) + sqrt(1377)))*3))**2.\nAnswer: -576*sqrt(17) + 88140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (756\/(-315))\/(4\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -28) + 10 - -13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*f + f - 1, -3*p + 11 = -f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13879\/2 or 6940?\nAnswer: 6940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.9 + 24. Let j = -0.6 + i. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 19. Suppose 4*l = h + h + 8, h - t = -4*l. Is 3 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -28*b + 2. Let o be f(-6). Suppose -4*y + 5*h + 9 = 141, 0 = -5*y + 5*h - o. Is (y\/(-8))\/(3\/12) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163649267 to the power of 1\/2, to the nearest integer?\nAnswer: 12793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -140346.\nAnswer: -1\/70173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b**2 - 2*b**3 + 21*b - 2*b**3 - b**3 + 2*b**3 + 7*b**2 = 0 for b.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10538 in -11, 0.5, -1\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c**3 + 0 + c**4 + 142*c**2 + 1\/180*c**6 - c + 2\/15*c**5. Find n, given that d(n) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 2*w + 2*w)*(w**3 + 6*w**3 - w**3).\nAnswer: -66*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3555559 or -3555558?\nAnswer: -3555559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -64. Let f(p) = -8*p - 152. Let w be f(-28). Calculate the highest common divisor of w and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -396, -1599, -3604, -6411, -10020, -14431?\n\"Answer: -401*z**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429008 is divided by 235?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2063*g + 14*g**2 - 1138 - 2065*g + 1156)*(5 - 3 + 3) to z + f*g**2 + t*g and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-4 - (0 - (-6 - -12)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n**(-2\/7)*((n\/(n\/n**1*n))\/n)**(-39) assuming n is positive.\nAnswer: n**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 18*t**3 - 17*t**3 - 4*t - 7*t to the form c*t**3 + k*t + y + p*t**2 + s*t**4 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -1\/3 (c) -32\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24298 - 0?\nAnswer: 24298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101401 (base 13) in base 2?\nAnswer: 1011011010110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*-1*-5)**2) + (0 + sqrt(171) + -1)**2 + -1.\nAnswer: -4104 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -252 (b) -2 (c) 10\/9 (d) -2\/17 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1793*l - 10725. Let m be x(-6). Suppose 0 = 3*q - 31 - 2. What is the highest common divisor of q and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23595 = 292*x - 12905. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 3880 - 3704 = 0. Solve 8 = 12*w - o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/12 - 2*t - 24. Let y(r) = 4 + 8 - 7 - 7*r**2. What is w(y(j))?\nAnswer: 49*j**4 - 70*j**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (20 + -21 - (-1 - -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19116.5 + 1185.1.\nAnswer: 20301.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149968 (base 10) to base 6.\nAnswer: -3114144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.48+90\nAnswer: 87.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39473987 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 10*j + 12. Let u be c(8). Let o(b) = b**2 - 29*b + 31. Let a be o(u). Solve -6 = v - a*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + v. Suppose -c + v + 2 = 0. Calculate the smallest common multiple of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 2*p**2 + 3*p + 3. Let u be k(-3). Suppose u*i + i + j - 53 = 0, 8 = i + 2*j. Calculate the smallest common multiple of i and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4679.9 + 4976. Let o = -309 + n. Let g = 13 + o. Which is the third smallest value? (a) 1\/4 (b) -3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -379858 greater than -379863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 19*g - 25. Give h(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/4400840 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/7 equal to -1933\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2772 and -8.567557?\nAnswer: 2780.567557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhfszwhzs. Give prob of sequence whfh.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/5 + 10*f**4\/3 - 14*f**3 + f + 3. Factor m(z).\nAnswer: -4*z*(z - 7)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/765 and -41\/1053?\nAnswer: 89505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(378)*-1)\/(-3*(sqrt(24) + sqrt(6)) + sqrt(6)*2*-3).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 8\/7.\nAnswer: -0.5, 0, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-16))\/((-1)\/12). Let s(c) = 2*c - 6. Let l be s(i). What is the third biggest value in 5, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from pppfbpfdfppppffappyp?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.12178 months in years?\nAnswer: 14.676815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 5, -4\/7, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - g - 9 + 1, -5 = -g. Find the second derivative of -28*m**4 - 62*m**3 + 27*m**4 - 4*m - 2 - x wrt m.\nAnswer: -12*m**2 - 372*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -385, -384, -383, -382, -381?\n\"Answer: b - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 5*y**2 + y**2 + (15 - 6*y - 15)*(0*y + y - 2*y) - 2*y**2 + 2*y - 2*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.74 - 0.36?\nAnswer: 4.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 + 8*q - 7. Let c be u(6). Suppose -4*v + 34 = 2*w, -5*w - 2*v = -c*v - 98. Is 2\/3 + w\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(-3*g + 4*g**2 + 3*g) + 3*g**2 + 4*g**2 - 5*g**2 + 5*g**2 + 59*g - 59*g.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 7353. Let i(c) = c + 2440. What is -11*i(f) - 4*s(f)?\nAnswer: -3*f + 2572","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 456020135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 4*q + 4. Let d(m) = 3*m**2 - 5*m + 5. Suppose v - 5 = -2*f - 4, 35 = -4*v + 5*f. Determine v*t(j) + 4*d(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13150 = u + 153*j - 152*j, 3*u - 39442 = -4*j. What is the greatest common factor of 43 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17551*f**4 + 16980 wrt f?\nAnswer: 70204*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/7 + 36*q**3\/7 + 176*q**2\/7 + 36*q + 110\/7 = 0?\nAnswer: -11, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -569124, -569125, -569126?\n\"Answer: -p - 569123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5*c + c)*(0*c**3 - c**3 - 2*c**4 - 2*c**3)*(1 - 2 + 0).\nAnswer: -6*c**5 - 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Suppose 20 = -i + 14. Let d be n\/i - 1\/(-3). Solve 14 = -t - 3*x, 3*x + 3 = 5*t + d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 50, 84, 132?\n\"Answer: 7*h**2 - h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 1689766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230812871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -82*u**2 + 4*u - 5. Let q(w) = -2*w - 1. What is k(o) + 2*q(o)?\nAnswer: -82*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 52*d + 358. What is the hundreds digit of x(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-592)\/1628 + 68040\/3795 + -18\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3139*(12 - 7)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 4. Let d = 4 - 3. Let s(l) = l - 1. Let k(q) = d*w(q) - 3*s(q). What is the units digit of k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -855191*x**4 + 8403961.\nAnswer: -3420764*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 592 - (1 + 2 - 0). Suppose -4393 = 3*x - m. List the prime factors of x\/(-36) - (-6)\/(-27).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -18) + -2 + 49 + -52?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 4*v + 1. Suppose -7 = -10*r - 47. Determine x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/85 or 11?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7776.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 969 divide 414730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + o)*(5 + 0 + 2) to the form p + k*o and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1046*h**2 - 17*h**3 + 18*h**5 + 1543*h**2 + 14*h**3 + 24*h**4 wrt h.\nAnswer: 1080*h**2 + 576*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + 2 + 2\/(-6). Suppose -3*u - 237 = -3*y, 5*u = -p*y - 0*y + 144. Let m = 138 - y. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 648 and 8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17808 and 26152532?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3457.5 + -3457. Which is the second biggest value? (a) v (b) 0.085 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240*p + 18 = 1245*p + b, 0*p + 2*b = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21754047 is divided by 306.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -0.1 (c) -327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 171, 153, 125, 87, 39?\n\"Answer: -5*k**2 - 3*k + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-11\/3)*y\/y**1)\/(y**7\/y)**(2\/77))**5 assuming y is positive.\nAnswer: y**(6365\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*z + 15, 4*z + 3*q = q + 20. What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 + 106 - 211 + f**2 - 26*f in the form a*f**2 + p*f + q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -73*q - 57. Determine h(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -17*f + 2. Let y = 3 + 0. Suppose -3*j - y*w - w = -3, 0 = 4*j - 4*w + 24. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.073, -0.5, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from rdrxeerrewrx.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126\/23 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5820480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + (-38 - (6 - 56))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36190220 and 280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(132) - 1*sqrt(132)) + sqrt(132) - sqrt(132)))\/((-2*sqrt(120))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:52 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/105 and -43\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.952*0.44.\nAnswer: -0.41888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6333 * 0.03.\nAnswer: -189.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/5 + 2*i**3 + 12*i**2\/5 - 2*i - 11\/5 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13029257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -84900 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.27 (b) 2\/5 (c) 1 (d) 0.0172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 308791 divided by -44113\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 25416*m - 25418*m + 5 = 0, -3*l = 4*m - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/481 and 29\/15093.\nAnswer: 558441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (22 - (-2 + (1 - 3))) + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -144 + -6a61?\nAnswer: -6ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 6*n. Let s be w(-3). Let f = s + 4. Does f = -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521025\/(-150)*(-1 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3120 = -0*p. Suppose -p = -4*a - 0*a + 2*k, -a = -k - 99. Calculate the least common multiple of 88 and a.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 5604*y - 11192.\nAnswer: -4*(y - 1399)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4 - 6. Let w(p) = -p**2. Let m(s) = 5*s**2 + 2*s - 4. Let d(c) = -m(c) - 4*w(c). Let o(q) = q**2 + 2*q - 3. Calculate h*o(f) - 4*d(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/15 + -257\/60. What is the common denominator of 11\/36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8865324 and 24453?\nAnswer: 97518564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397141 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 16. Let z = 3 - v. Let r be (20000\/z)\/(8\/(-7440)). Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39960 and 24753?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**4\/7 + 10364*q**3\/7 + 8895084*q**2\/7 + 2479948724*q\/7 - 41999034176\/7 = 0.\nAnswer: -869, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 5, 0*o + u - 4 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-5)\/15)\/(14\/(-42)) + 381033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40.246 or -2?\nAnswer: -40.246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**7\/70 - c**6\/2 - 59*c**5\/10 - 45*c**4\/2 - 81*c**3\/2 - 2*c**2 + 25*c. Factor l(v).\nAnswer: -3*(v + 1)**2*(v + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2171\/10 - -217. Which is the nearest to i? (a) -3 (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4114272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -1. Suppose w + r*w = 12. Put -3, w, -4 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 130 - 105 = -5*l, 0 = -3*l - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*l + 68. Suppose -83*i = -l*i. Solve v - 4*v + 5*u - 16 = 0, i = -5*v - u + 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/60 - l**4\/6 - 2*l**2. Let z be y(-3). Suppose z*d - 20 = -2*d. Solve u + 14 = -d*k - 6, 5*u + 5 = -k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 6*f - 4. Let o be f\/(-1)*-2 - (-1 + 0). Put o, -1, 5, -4 in decreasing order.\nAnswer: 5, -1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 2*u**4 - 4*u**2)*(2*u + 7*u - 4*u + 3).\nAnswer: -10*u**5 - 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8704.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 7.3. Let f = -28\/5 + 186\/35. Sort -1, w, f.\nAnswer: w, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhmmubhkbubbuby. Give prob of picking 1 y and 1 m.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, 5, 32, 59, 86?\n\"Answer: 27*k - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75265, 150533, 225801, 301069?\n\"Answer: 75268*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 168631 and 0.03.\nAnswer: 168631.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvoqave. Give prob of picking 1 o, 1 k, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*v - 720*v - 38345 = 560*v + 24211 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 + 1003648*i**2 + 89334*i + 97.\nAnswer: -24*i**2 + 2007296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 114*p = 109*p + 55, -10*r - 3*p + 33 = 0. Find a, given that 1\/2*a**2 - 5\/4*a**4 + r + 0*a - 3\/4*a**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -14295.3\nAnswer: -14295.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 39, -1.6, 7, -5\/2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 2*w + 6 + 1\/2*w**2 + 2\/3*w**3 + 1\/4*w**4. Calculate b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.8 + 49.8. Which is the closest to -1\/3? (a) 5 (b) q (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4388*f - 4320*f + 19 - 563 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364936 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:51 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(-48)\/(n**0\/n)**(-12\/19))**(-2\/9) assuming n is positive.\nAnswer: n**(-584\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:57 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - q + 41 = 0, 5*o - q + 0*q - 39 = 0. Let z(i) = -i**2 + 8*i + 5. Let c be z(o). Solve 5*f - c = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 9*j + 4. Let s be g(-3). Solve s*i - 3 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/9? (a) -221 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -1\/20*b**5 - 2 + 0*b**3 - 2\/21*b**7 + 0*b**2 - 14*b + 0*b**6 + 1\/6*b**4. Find the third derivative of u(z) wrt z.\nAnswer: -240*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19187*g + 458069 - 99382 = -44320 - 882522 for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 0.3 (b) 0.21 (c) 0 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**3 - 4 + 4 - 2 as l*m**3 + c + s*m**2 + t*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/15 + (11 - (-5354388)\/135) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67445726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (4 + -3 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.364 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 14*d - 4*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2\/3*g**5 - 8\/3*g**3 + 2\/3*g**4 + 0 + 0*g - 8\/3*g**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -6\/5, -2\/75, -4, 0.039, -0.2?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*((-2*l - 1 + 1)*(l**2 - 4*l + 4*l) + 3 + l**3 - 3 + 7*l**3 - 11*l**3 + 32*l**3) + 100*l**4 - 9*l**3 + 15*l**3 - 6*l**3.\nAnswer: 127*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(12\/7))\/i*i)**25 assuming i is positive.\nAnswer: i**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -751 + 759. Solve 0 = -4*k - 24 + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874, 1719, 2566, 3409, 4242?\nAnswer: 5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56 + 19)\/(-37))\/((-2)\/(-8) - 1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454542, -454967, -455394, -455823, -456254, -456687, -457122?\nAnswer: -457559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4152.659 years?\nAnswer: 41.52659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*h + h + 4*l, -3 = 3*l. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6079 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h + 5. Let c be p(0). Suppose a - 3 = -3*l + 1, 5 = 5*l + 2*a. Suppose 11 = -q - l*t, -q + t - 6*t = 17. Sort -5, c, q in increasing order.\nAnswer: -5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105614479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-12)\/(-162)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41549*v + 41545*v - 83096*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124328 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1201, 1142, 1083, 1024, 965?\n\"Answer: -59*f + 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*k + 76338 = 338, -30382 = -2*y + 4*k. What are the prime factors of y?\nAnswer: 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 5*y**2 + 8*y**2 + (0 - 5 + 6)*(y**2 + 4*y**2 + 4*y**2) + 2*y**2 + y**2 + y**2 + (3*y - 4*y + 2*y)*(3*y - 2*y + 0*y).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 12078?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -40\/1221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 0.4, 0.5, 0.1, 32183?\nAnswer: 32183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*z + 62 - 2 = 0, 5*v - 2*z = -35. What is the units digit of (-9993)\/v - (16\/24)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 0*n - 116 - 2*n + 101.\nAnswer: 3*n - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 102912 = 102846 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v - 13*v + 350 - 5*v**2 - 356 + 41*v**2. Is 19 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -q - 5*t - 36, t - 4 = 0. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*d + 46, 0 = -6*z + 10*z + 2*d - 148. Let q be ((-3)\/z)\/((-8)\/216). Which is the nearest to -1\/6? (a) 3 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 1, t: 2, o: 2, e: 6}. What is prob of picking 1 t, 1 e, and 1 o?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 328979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6*90\/300. Let f(d) = d**3 + 4*d**2 - 5*d + 1. Let v be f(-5). Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21000 and 360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206180380 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9*x = -24. Which is the nearest to -5\/4? (a) 4 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -155, -4 in descending order.\nAnswer: 2, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 0.2 (c) -1\/2 (d) -1\/48 (e) -0.0439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6269774ml?\nAnswer: 0.0006269774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 20, 2*q = -x + 1230. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h = 22*h + 3488. Let y = h - 649\/3. Factor 2\/3 + 4\/3*j**2 + 1\/3*j**3 + y*j.\nAnswer: (j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1905 - -1906. Let y be 24\/13 + 6\/39. Suppose -y*a = 3 - 21. What is the closest to a in -2, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -2*x - 3*n, 3*n = -5*x + 20. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k - 14. Let m be ((-280)\/(-196))\/(2 + (-36)\/21). What is l(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2\/3, -2\/41, -2, 0.1, 2 in decreasing order.\nAnswer: 2, 0.1, -2\/41, -2\/3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-74)\/(-4)*(2 - 4). Let x be (i\/3)\/(3\/9). Let m = x + 57. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + -2*sqrt(1911) + sqrt(1911) + sqrt(39) + 2*sqrt(4719))\/((sqrt(81) - -1*sqrt(81))\/sqrt(3)).\nAnswer: 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8797.072 millennia to decades.\nAnswer: 879707.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*o**3 - 25*o**3 - 219*o**3 + (-o**2 - o**2 + 0*o**2)*(2*o + o - 2*o).\nAnswer: -359*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 18*j - 69. What is b(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2\/(-4) - 31. Let g = n + 20. Find the common denominator of 21\/g*9\/6 and -71\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-50))\/((-6)\/45)*2200\/440\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1496576 by 1184.\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 8. Calculate v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*i + 46, t + 3*i = 5*t - 92. What is the smallest common multiple of t and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 2*p**2 - 16 - 1 + 17 + 2*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0 = 5*c - 7, 4*c = -5*x - 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 345?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 839937, 1679904, 2519873, 3359844, 4199817, 5039792?\n\"Answer: w**2 + 839964*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77019921 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75)\/(-19) - (-2 - -5). Let m = -33\/95 + b. Factor 3\/5*a - m*a**3 + 3\/5*a**2 - 3\/5.\nAnswer: -3*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1240506323 - -15?\nAnswer: -1240506305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -19. Let g be 3 + 2 - (-2 - -2). Let v be (-3)\/(2 - (2 + 1)). Solve 2*u = -g*x + r, -2*x + v = 4*u + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -110, 3, -15, -1, -3, 0 in descending order.\nAnswer: 3, 0, -1, -3, -15, -19, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-24)*(-6 - 0). Suppose 3*z + 1 = 3*c + 7, 0 = -4*c - m*z + 24. Let b be c\/6 - (-3)\/(-9). Solve -5*p + p - 20 = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(8\/48). Suppose 6 = p - r. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w - 61. Let f be v(6). Let s(h) = -h. Calculate s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 18*q = 0. Which is smaller: q or -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 109206.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and -29\/145018?\nAnswer: 145018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -132, -290, -476, -690, -932, -1202, -1500?\n\"Answer: -14*v**2 - 116*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*a = -m + 69, -5*m = 2*a - 131. Let k be 150\/((-5)\/5)*(-4)\/6. Calculate the greatest common divisor of k and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 35 = -2*i - 102, -2*q + i - 53 = 0. Let s = q + 30. What is the second derivative of -s*b**5 + 117 - 117 + 7*b wrt b?\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -440706, -19.\nAnswer: -440706, -19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-13)\/(-26))\/((-18)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3553 divided by 209\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -340?\nAnswer: 11\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**2 + 50*j + 6. Let f be p(13). Round f to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 (base 7) in base 4?\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 22\/2) + 11 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5572 divided by -5.\nAnswer: 5572\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kep when three letters picked without replacement from eiekjpbk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(8\/5)*i\/i**(-2\/21)*((i*i*i\/((i**(1\/6)\/i)\/i))\/i)**(-2\/69) assuming i is positive.\nAnswer: i**(814\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*h**3*k**2 - h**3*k + 6*h**3 + 24*h**2*k**2 - 5*h**2*k + 2*h**2 - 7*k**2 wrt h?\nAnswer: -1518*k**2 - 6*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/138249304 and 21\/20330780.\nAnswer: 691246520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*c - 209*c - 209*c - 5847 + 17110 + 17827.\nAnswer: -2*c + 29090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 1 (c) 5 (d) -2 (e) 14401 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1815 in -176, -0.5, -1?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 25 - (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**2 + 3*n**2 + 5*n + 0*n**2 - 2. Let c be (-84)\/(-26) + 10\/(-6)*4068\/29380. Let b(f) = f**2 - f - 1. Calculate c*b(p) + t(p).\nAnswer: -p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -31*w + 30*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -226445*p - 452885. Let m be s(-2). Let k = -8 + -2. Let r = 7 - k. Solve m*w + r = -3*y - 8, -y + 4*w + 3 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390738 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 723 and 1102246758.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 + t + 2. Let x be p(0). Let m be (3\/4)\/(1\/16). Let u(v) = 3*v + 2. Let h be u(0). Solve -x*c = h*c + m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21755)\/15 + 4)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18223648 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 3*q + 59. Which is bigger: 35 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + u)*(2 - 3 - 1)*(-4*u**2 + 2*u**2 + 4*u**2)*(-4*u**2 + 0*u**2 + 0*u**2).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) - (1 + -2). Let h(s) be the second derivative of 1\/2*s**3 + 0 - s - g*s**2. Find the first derivative of h(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262012440.\nAnswer: 2, 3, 5, 89, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/5 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(9\/(63\/(-35))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -95 in ascending order.\nAnswer: -95, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/7, 0, -45\/7, 3 in descending order.\nAnswer: 3, 1, 2\/7, 0, -45\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23002200 (base 4) in base 5?\nAnswer: 2421331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*t - 26 = -6*t, -8*n = -2*t + 68 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 9035546.\nAnswer: -9035546.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.2884 rounded to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 2. Suppose -s - 146 = -5*i, -s - j*s - 148 = -5*i. Let u = -17 - -25. Calculate the remainder when i is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43702 + 2927969\/67. Let h = o - -3493\/1943. Let i = -632\/203 + h. Calculate the common denominator of -22\/9 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, 15, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -520*t + 305*t + 3234*t + 26515 - 5382 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 82164979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:24 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 - 152 = 27*o - 406. Calculate the remainder when 1 + -4 + 177 + 6 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (10 - 1) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:17 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4*i - 2*b**4 - 27*b**2*i - 3*b*i - 14*b - 2*i wrt b.\nAnswer: -24*b**2*i - 24*b**2 - 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 6*z**5 - 6 + (2 - 2 + 3*z**2)*(0 + 2*z**3 + 0).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -850, -1129, -1422, -1735, -2074, -2445?\n\"Answer: -x**3 - x**2 - 269*x - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 1187*l + 594*l - 20*l**3 + 593*l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + 22\/5. Suppose 0 = -k - o, x*o - 3 = 3*o. Let t be (-10)\/k - 20\/(-30). Solve t*m + 18 - 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.5 equal to -762815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40711808 and 1152?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2004 and -99\/8.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) - (sqrt(17) + (sqrt(17)*2*-4)**2)) - sqrt(204)\/(sqrt(72)\/sqrt(6))) + 5*(3 + (sqrt(2057) + 2*sqrt(2057))**2).\nAnswer: 93668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 12*m + 6*m = 0. Let x(a) be the second derivative of -2\/3*a**3 + m - a**2 - 10*a. Calculate x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-180)\/325*(-10)\/3. Let v = -289.1 - -289. Which is the closest to v? (a) l (b) -2\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -222, -454, -706, -990, -1318?\n\"Answer: -2*v**3 + 2*v**2 - 224*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = c + 21, -2*o - 7 = 2*c - 21. Suppose 2*a + o - 1 = 0. Which is smaller: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2592)\/(-135))\/16)\/(1*9).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -47, -2, 7, -305 in ascending order.\nAnswer: -305, -47, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -59. Let c = -8 - -11. Solve 2*g = 5*n + 10 + m, -4*g = -c*n - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 18*x - 22*x. Suppose 3*z - 141 = -f, -3*f + 7*f = -x*z + 600. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by 217?\nAnswer: -94\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.08 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 5*n**2 + 2*n - 3. Let j be (6\/4)\/((-22)\/44). Determine x(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 36438*c - 110488. Give y(3).\nAnswer: -1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65690.77g?\nAnswer: 65690770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116 divided by 779?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 - 203. Suppose 5*s = -3*u + 3*s + 83, -4*s + 112 = j*u. Calculate the remainder when 156 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -17*p + 24*p - 21*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -8*q + 6*q, 0 = -q - 3*w + 8. Suppose 0*d + 4*d - n = 18359995, q*n = -4*d + 18360010. Round d to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21257454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let w be 0\/f - -2 - -9. Suppose 2*t - 3 - w = 0. Solve o = 3*v - t, 11 = v + 8*o - 4*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (103 - 101)\/(1 - -1). Put a, 8, 3, -2 in descending order.\nAnswer: 8, 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naneenen. What is prob of picking 2 n and 2 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 1332. Let n(a) = -222. Let v(z) = 6*n(z) - x(z). Let q(b) = -5*b - 218*b**2 + 5*b. Determine v(q(m)).\nAnswer: -142572*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from aafzzzazqpa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 7804.\nAnswer: -7798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 - p + 2. Let r be l(2). Suppose r = 3*s - 0*s. Let u = -17 + s. What is the third biggest value in -0.5, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - m. Let d(y) = -2*y**3 - 11*y**2 - 2*y. Let b(w) = -4*d(w) + 9*l(w). Let o(x) = 6*x**3 + x**2 + x. Calculate -b(z) - o(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 579590 divided by 605\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2*-2 + -2 + sqrt(1053)*-1)*-3)**2.\nAnswer: 1620*sqrt(13) + 236961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733960.2 plus 3533.7?\nAnswer: -1730426.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 868 divide 12912290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1024)*2)\/((1*sqrt(512) + sqrt(512))*1).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56198 + -34110. Suppose -5*k - 3*q + 22094 = 0, 7*k - c = 2*k - q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -434.1887 to 1 decimal place.\nAnswer: -434.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.624482nm to meters.\nAnswer: 0.000000000624482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 134*z + 119*z + 0.\nAnswer: -15*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 2*b - 7, 0 = 5*b + u - 63. Let s be (b\/(-18))\/(3\/(-9)). Solve 4*g - j = -g + 21, -g = s*j - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407571ms in nanoseconds?\nAnswer: 407571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/504 - 5*i**6\/72 - 2*i**5\/3 - i**4 - 12*i. Let o(b) be the third derivative of x(b). Suppose o(g) = 0. What is g?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11930 - 11926.1398. Round b to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d - 2. Let j be a(-4). Let c be j\/(8\/12) + -7. Let u = c + 23. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*3\/(-3))\/(-2). Suppose -2*i - 3*i + 40 = k. Calculate the greatest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**6\/1440 - a**5\/480 + a**3 - 5. Let p(i) be the third derivative of z(i). Find s such that p(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -47, -87, -129?\n\"Answer: -w**2 - 35*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20486, 40973, 61460, 81947, 102434?\nAnswer: 122921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iul when three letters picked without replacement from lnlnulnununiinl.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 5, 2 in decreasing order.\nAnswer: 5, 4, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26bab3 (base 15) in base 4?\nAnswer: -13012212123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16338144.\nAnswer: 2, 3, 170189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20482784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*60\/525. Let y = 52.1 + -55. Let w = -0.1 + y. Which is the closest to t? (a) 1 (b) -6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 46 - 38*f**2 - 558*f**2.\nAnswer: -596*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1289173 or -1?\nAnswer: 2\/1289173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from ymaje.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*n = 3*h - 345*n - 12, -2*h + 6 = 2*n. Put h, -7, -1, 168, 4 in decreasing order.\nAnswer: 168, 4, h, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 - -130.5. Sort -1, -2, 0.5, k in increasing order.\nAnswer: -2, -1, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/4)\/(3\/20))\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 176 + 4*f**2 + 4*f - 3*f - 142. Is n(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*r + 51 = 0, -r - 3 = -0*r. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -30*i**2 - 7*i - 28*i**2 + 3 + 52*i**2 + i**3. Let s be w(7). Let c(j) = -84 + 172 - 4*j - 84. Determine c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65301, 65303, 65307, 65313, 65321, 65331?\nAnswer: 65343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/13)\/h)\/(h*h**(-10\/17))*(h*h\/(h**(2\/67)\/h*h)*h)\/(h*h*h*((h\/((h\/(h\/h**(-1\/22)*h))\/h)*h*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-1211101\/325754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 - 3*n**3 + 16*n**3 + 13*n**3 - 37*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14141946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w**2 + 5*w + 6*w**3 - 3*w**3)*(3*w - w**2 - 3*w) - 6*w**5 - 25431*w**3 - 4*w**5 + 25434*w**3.\nAnswer: -13*w**5 - w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 83277458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 606 or -44860?\nAnswer: -44860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-88)*2206\/1. Let l = d + -438\/11. What is the common denominator of l and ((-6)\/8)\/((-4)\/68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 30. Let g be t(0). Let o = g - -652. Suppose -100 = 3*q - o. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-26 - -15) + 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4175 and 0.016.\nAnswer: -0.4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*c**2 - 28*c**2 + 100*c**2 - 166 - 24*c**2 - 4*c.\nAnswer: -c**2 - 4*c - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.4. Is n != -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + (-12 + -1 - -10) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3159) - 2*sqrt(3159))\/(1*sqrt(27) - sqrt(3)))**2.\nAnswer: 1053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1007169717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2256836004 and 0.669.\nAnswer: -1.5566836004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*r + 664*r - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -0.2, 137\/5, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/26 - (-1780)\/(-260). Suppose -4*n + n - 27 = 0. Is c not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 4. Let a(h) = -h**3 - h**2 + h - 8. Let x be a(0). Let j = x - -2. List the prime factors of u(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1928\/9 + -8 - (-6)\/(-27). Suppose -4*m - 2*b = -8*m + c, m = -3*b + 48. What is the remainder when m is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325 - 195. Let d = l + -136. Is ((-1912)\/(-16))\/((-1)\/d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120675, 241877, 363077, 484275, 605471?\nAnswer: 726665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(1\/5))\/w*w)**(-4)\/((w*w*w\/(w\/(w\/(w\/w**(-11)))*w)*w)\/w**12))**(-2\/7) assuming w is positive.\nAnswer: w**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1091664 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9 - 3. Solve h + 20 = -5*s - i*h, -s + 5*h = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 29. Let j = p + 13. Let i be j\/63 - 7210002\/(-7). Round i to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 5:44 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*5*(sqrt(32) + sqrt(1152) + 0)*6)**2.\nAnswer: 5644796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*w + 3*z - 2, 3*z - 6 = 0. Suppose 0 = 3*h - 6*h - 3*n, h = w*n + 16. Suppose h*p = 174 - 54. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*g + 180, -5*d - 2*g + g + 196 = 0. Let b = 29 - d. Let c be (-1)\/(-4) - b\/4. Put -1, c, 1 in descending order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988 = 105*p - 181*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113246 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/102 and -61\/272.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(252) - sqrt(252)*-1)\/sqrt(6))\/(sqrt(324)\/sqrt(6)) - ((-1*(sqrt(175) + 0))**2 + -3)).\nAnswer: -172 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.7974 micrograms in tonnes?\nAnswer: 0.0000000001687974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -223*w - 5348. What is the least common multiple of 47 and d(-24)?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 348008?\nAnswer: 2436056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*h - 464, 4*c + 0*h - 3*h + 929 = 0. Let v = c - -701\/3. Solve -2\/9*s**4 + 0 + 2\/9*s + v*s**3 - 2\/3*s**2 = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1293 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -49.1*-0.3\nAnswer: 14.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8\/3 (b) 2\/5 (c) 2\/3 (d) 1\/6 (e) 5436\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + y + 0*y + (3 - 1 - 1)*(y + 2*y - y) - y - y + 3*y + 2*y + 2 - 1 - 4 - 2 - 4*y + 2 to the form z + d*y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80 - 4*v**2 - 9*v - 4*v**3 + 0*v**3 + 57*v - 32*v**2.\nAnswer: -4*(v - 2)*(v + 1)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3848, 30840, 104114, 246812, 482076, 833048, 1322870, 1974684?\n\"Answer: 3857*u**3 - u**2 - 4*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -4*w. Let b(g) = 25*g**2 - 3*g. Let m(v) = 8*v**2 - v. Let d(k) = 3*b(k) - 8*m(k). Is d(w) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 4*u + 4, -2149*v + 2152*v + 4*u - 3*u - 9 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 8, k: 3, m: 1, c: 1, i: 2}. What is prob of sequence hk?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 7*k + 10*k in the form u*k + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -13*a**2 - 5*a - 5. Let d(b) = -2*b - 3. Give -3*d(f) + t(f).\nAnswer: -13*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (0 - (1 + 68))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**8\/336 + 94*a**7\/105 - 19*a**5\/30 + 218*a**2. What is the third derivative of h(t) wrt t?\nAnswer: -60*t**2 + 4512*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-9 - -21) - (-19 + 32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740048 is divided by 319.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -931*g**5 - 9*g**2 + 6*g**2 - 73*g + 4*g**2 + 143*g**5 wrt g.\nAnswer: -47280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + m**3 + 0*m + (-6 + 2 + 2)*(-m - 3*m - m)*(197*m**2 - 3*m - 194*m**2 - 42*m) as a + k*m + j*m**3 + b*m**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5 + 25*a**4 + 391*a**3 + 1859*a**2 + 3702*a + 2664 = 0. What is a?\nAnswer: -4, -3, -2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674783126.\nAnswer: 2, 5749, 58687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfcqmfmqqmqwffwbfwmm. What is prob of picking 1 c, 1 w, and 1 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:56 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483409.\nAnswer: 659, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.08, -3, 1.01?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289906?\nAnswer: 2, 43, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2048864 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 + 5 = 0, a + 5*c = 77. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v**2 + v - 1. What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 20733 = 184*r - 9*r + 8336 for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t)\/t**(-2)*t**7\/t**2*(t*(t**(-2\/29)*t)\/t*t**4)\/(t\/t**(1\/3))**(2\/7) assuming t is positive.\nAnswer: t**(9586\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjj. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 11635*v = 0.\nAnswer: -2327, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 23*m - 18. Is i(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137462 or -137775?\nAnswer: -137462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10175*z + 10265*z - 1710 = 0 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*v**5 - 2*g**3 - 49*g*v**5 - 55*g*v wrt v.\nAnswer: -20*g**3*v**3 - 980*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11849424*-5\nAnswer: 59247120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9805*p**3 - 19615*p**3 + 9*p**2 + 9808*p**3 + 5*p**2.\nAnswer: -2*p**3 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9*(-12)\/1. Suppose -3*i + r = i. Solve 0 = -p, -4*d - p = -i*p - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125) - (sqrt(55)\/(sqrt(176) - sqrt(11)) + sqrt(5)))*5)**2.\nAnswer: 15125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/18)\/(406\/87).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + 1*(-1 + sqrt(1216) + sqrt(1216) - sqrt(1216))) + -2)*4)**2.\nAnswer: -6144*sqrt(19) + 311872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5 = w. Suppose -38 = 5*o - a - 357, -3*a - 327 = -w*o. Let v = o + -59. Solve 0 = 4*m + v*g, 2*m + 4 = m + 3*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 69*i + 85. Let n be d(-16). Put -1, n, 4, -9 in ascending order.\nAnswer: -9, -1, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 543\/541 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Solve l = m*j - 4 - 19, -5 = -2*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516111 (base 7) in base 8?\nAnswer: 254747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 9\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3540 - -4567. Calculate the greatest common divisor of 79 and q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/15 + 1449\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 4 + 2*z**2 - 40*z**2 - 92*z**2 - z. Let o(l) = -2601*l**2 + 81*l - 81. Let p(y) = 81*k(y) - 4*o(y). Let j(d) = -2*d**2. Determine j(p(q)).\nAnswer: -31752*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -6. Let v be g\/14 + (-18)\/(-63). Solve v = 3*s + 4 - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/44 and -37\/34292152?\nAnswer: 377213672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 143 = -80 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -13*x**4\/24 + 2*x**2. Let d(u) = 2*u + 3*u - 5*u - 3*u. Let o(g) = -9*d(g) + 2*t(g). Let z(s) = s. Determine z(o(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54460 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 1 + (78 - -159) + -201?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 390b - 243?\nAnswer: 3688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/6 (c) 55 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.1 (b) 1.3607 (c) -3 (d) -0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -r + 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - f**2 - 2*f + 1. Let h(v) = 128*v**3 - 3*v**2 - 6*v + 46. Let l(t) = h(t) - 3*w(t). What is the derivative of l(z) wrt z?\nAnswer: 375*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7131598 is divided by 136?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261.5 - -378.93. Let h = m - 122.5. Let l = -0.07 - h. What is the second smallest value in l, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563264, 2253046, 5069344, 9012152, 14081464, 20277274, 27599576?\nAnswer: 36048364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 9 = a, 6*t + 3*a - 38 = 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1875, 2850, 3827, 4800, 5763, 6710?\nAnswer: 7635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 11. Let l = -70 - -112. Suppose w - b = l. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 + 29595*l**4 - 181065*l**3 - 19634675*l**2 + 39694140*l - 19908000 = 0.\nAnswer: -5925, -24, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 1.3. Let q = 5 - 11\/3. Which is the nearest to -1? (a) p (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -8\/3 + 7\/3*w**4 + 46\/3*w**2 - 11*w**3 - 4*w = 0?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n - 136 + 152 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -14. Let i be z\/3*(-2 + 2). Solve i = 3*u + u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842282415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f + 16 = 4*d, -24 = 3*f + 3*d. Let b(h) = h**2 + 12*h + 26. Let a be b(f). Let m = 10 + a. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 404*b**3 + 152*b**2 wrt b?\nAnswer: 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Let j be i - (1 - (4 - 640005)). What is j rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -10\/7*y**5 + 32\/7*y**3 - 19\/7*y**4 - 3\/7*y**2 + 0*y + 0 = 0.\nAnswer: -3, 0, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 370.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12184440 rounded to the nearest 10000?\nAnswer: 12180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112)\/sqrt(18))\/((5*sqrt(44)\/sqrt(2))\/sqrt(11)))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -278149000 rounded to the nearest one million?\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (9 + -7) - -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1\/3 (c) 8\/7 (d) 0.5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 6 (c) -3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/7))**12 assuming d is positive.\nAnswer: d**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50263, 100563, 150857, 201145?\nAnswer: 251427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/9 - 1540*z**4\/9 - 4616*z**3 + 6160*z**2\/9 + 166208*z\/9 = 0. Calculate z.\nAnswer: -742, -28, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = 46. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11395, 22785, 34161, 45517, 56847, 68145, 79405?\nAnswer: 90621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 4*u = 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9*t**(-8)*t*(t*t\/(t*t*t*((t*t**(1\/4)*t)\/t)\/t*t))**(1\/7)*((t**(1\/5))**37)**(-19\/2) assuming t is positive.\nAnswer: t**(-9607\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -734.87.\nAnswer: -73.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.1707 at least as big as -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6031618 (base 10) to base 11\nAnswer: -344a70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u = -157 + 53 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7641453, 15282910, 22924369, 30565830, 38207293, 45848758, 53490225?\n\"Answer: d**2 + 7641454*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370726862 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1293424, 1293430, 1293436, 1293442?\nAnswer: 1293448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 321*d - 318*d = -6, r - 3*d = 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*s + 21 = -7*s, 0 = -5*s + 5. Suppose -5*r + 20 = c*m, -3 = -2*r + 3. What is the least common multiple of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74967 (base 13) to base 16\nAnswer: 33591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.108194 millennia to centuries.\nAnswer: 31.08194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107161\/10 - 10705. Find the common denominator of 33 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + m + 1. Let b be j(-1). Let c be 4 + (-1)\/1 - b. Solve 0*n - 3*n + 12 = c, 3*l - 22 = -4*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12\/13)*t\/t**(2\/37)*(t\/t**(5\/4))\/t**(-35) assuming t is positive.\nAnswer: t**(66903\/1924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1222 (b) 0 (c) 890 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 + 0.473. Let z = -0.135 - -0.116. Let l = z + q. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 9157200, 2?\nAnswer: 9157200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2613006 and 435501.\nAnswer: 2613006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3923.\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 5*s - 5*z + 13, 5*z = -2*s + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 + 1852?\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*k = -6, 0 = 41*v - 44*v - 5*k + 19. Solve 0 = 2*c - 2*f + 10 - 4, 5*f = -v*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*u**3 - 2\/5*u**4 - 4\/5 - 2\/5*u + 6\/5*u**2 = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 1 + 7 - (22971 - 22983).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 - 216*g**4 + 4296*g**3 - 14688*g**2 + 13872*g.\nAnswer: 3*g*(g - 34)**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - (-25)\/(-15). Let j = i + 3. Suppose u = n - u, -j = -2*n + 3*u. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4\/5 (c) 3\/4 (d) -133 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7904*a**3 + 6183*a**2 wrt a?\nAnswer: 47424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**2 - 1. Let j(r) = 17588989*r**2. Calculate n(j(o)).\nAnswer: 3403097874463331*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2420) + sqrt(20))\/(sqrt(484)*3).\nAnswer: -7*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -6, 55, -2, -4, 2 in decreasing order.\nAnswer: 55, 13, 2, 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g - 10. Let v(y) = -1. Let z(f) = m(f) + 6*v(f). Let d be z(-15). Let h = d + -40. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3999 divided by -5?\nAnswer: 3999\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 264?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330784152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280, -317, -354, -391, -428?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 14 + 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 9*q - 6. Let z = -76 - -76. Suppose -2*r + 123 - 139 = z. Let v be l(r). Solve 0*w = -v*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-4 + 0) - (-35 + -5 - -49).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382*v + 712*v - 4 + 4 + 3103*v to the form f + a*v and give a.\nAnswer: 3433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = j + 11, -4*m - 2*j = 3 - 9. Suppose -5*f + 4*s + 0*s = -12, 2*s + 4 = m*f. Solve 0 = -f*w - 7 - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-497*b - 217*b + 26*b)*(-5 + 4 - 3*b + 1) in the form x*b + c + w*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 224\/6 - 40\/30. Let z = 40 - f. Solve z*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 318\/7*s + 8427\/7 + 3\/7*s**2.\nAnswer: 3*(s + 53)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139190 is divided by 2844.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.564009 and 0.1.\nAnswer: 0.3564009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3132 and 0.956 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -11 - 199. What is the highest common divisor of 105 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 103\/2)*(-141 - 31371). Is (-10)\/55 - (r\/44 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -154, -308, -482, -652?\n\"Answer: 4*l**3 - 46*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 2. Let b(q) be the first derivative of -q**4\/12 + 2*q**3\/3 - 9*q**2\/2 + 8. Let r(a) be the second derivative of b(a). Calculate 3*r(u) + 7*z(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 0, -7*k + 12*k - 3*t = 40. Solve 0 = -4*b + 5*i - 2, -3*i = 5 - k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.96204 plus -11.4?\nAnswer: -39.36204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31088 and 68876.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/3*6\/126?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -12\/5 (c) 1\/5 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -27. Suppose c = -q + 2*f, 3*q = 5*f - 22 + 2. Find p such that 0 - 3\/5*p**4 + 3\/5*p**3 + q*p + 0*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1705758143 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21105)\/(-7035)*(-74)\/((-8)\/(-4))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*r - 2\/7*r**2 - 2154\/7 = 0 for r.\nAnswer: 1, 1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = u + 5*k - 26, 0 = -k - 4. Which is the fourth smallest value? (a) u (b) 4 (c) -48 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35909088 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:34 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - -685. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cc33 - 15?\nAnswer: -cc48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 6, w: 8}. Give prob of sequence gww.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmdpdokd. Give prob of sequence dmd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63649*r**5 + 2*r**2 - 30*r + 108 wrt r.\nAnswer: 3818940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = p - 3*p + 5*z, 2*z = 2*p - 8. Is 21 a factor of ((-42)\/p)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinn. What is prob of sequence inni?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let p = 8 - 9. Let d be (-2)\/3*6\/(-16). Which is the third biggest value? (a) p (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13101 - -11?\nAnswer: -13030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/60 + z**5\/30 + 5*z**3\/6 + z**2. Let t(a) be the first derivative of h(a). Find the second derivative of t(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -19 (c) -5 (d) -44.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 65\/1441?\nAnswer: 65\/1441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-553)\/(-316))\/((-1)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 929861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 13. Let q = 20 - m. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccww when four letters picked without replacement from {c: 6, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/137 in -0.5, 3\/7, 1\/64?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6299773.\nAnswer: 19, 41, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342\/(-1188) + 5\/6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -37255 (b) 4\/319 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)\/(sqrt(36)\/sqrt(4)))\/(-1*sqrt(75)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -1438983?\nAnswer: -1438976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 5. Suppose 3*r - 4*r - 5 = 0. Let a be t(r). Solve 5*y + 20 = -a*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 - 9*q**2 + 2*q**2 + 15905102*q**3 - 15905093*q**3 - 20*q**2.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n - 167 - 33*n**2 - n**3 + 19*n**2 + 145. Let c be d(-13). Let a = 3 - 3. Put c, -3, a, -4 in ascending order.\nAnswer: -4, -3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 300 + 284 + 177)*(0 - 2*c**4 + 0) to the form t*c**3 + y*c**2 + r*c**4 + i + q*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by 2.\nAnswer: -209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92884 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**5 + 5*m**2\/2 + 6. What is the second derivative of q(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10935 = 84705*r - 85434*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2 - 1 - 2). Find the second derivative of -v + 2*v + 6*v**5 + v - 3*v**b wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018244 to seven dps.\nAnswer: -0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-5) - (0 + (-8)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -54. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5245 rounded to 2 dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -610 + 1221\/2. Which is the nearest to 0.2? (a) -3 (b) -2\/15 (c) 21 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*y**2 - 5*y**3 + 87*y**2 + 3*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/315 and (-606)\/(-63)*(470\/700)\/(-47).\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 288600\/666*12\/10?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 610 + -45749\/75. Let m(d) be the second derivative of k*d**6 + 0 + 0*d**2 - 1\/30*d**4 + 1\/50*d**5 + 3*d - 1\/15*d**3. Factor m(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.67864 - -153.93764. Let b = x + -151. What is b rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -25. Let h(g) = -g**3 + 6*g**2 - 5*g + 7. What is h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from iniiiiiniiniiiiiini?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3085.616 - -4\nAnswer: 3089.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-165))\/((-5506)\/(-30283)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**3 + 32*m**2 - 10*m**2 + 13*m**3 - 8*m**3 - 17*m**3 - 11*m**3.\nAnswer: -5*m**3 + 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o - 1 + 1)*(3 - 3 + 4*o**3) + 7*o**4 + 12*o**4 - 29*o**4)*(3*o + 2*o - 7*o).\nAnswer: 44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (-8 + 420\/231). Put -5\/8, -311, d in decreasing order.\nAnswer: d, -5\/8, -311","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 - 1) - (-20 + 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -207871680 plus -1480?\nAnswer: -207873160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:56 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8*u - 1353 = -6*u, u - 4073 = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**5 - 2*i**5 + i**5)*(3189 + 5887 + 4087 - 2824 + 9907 + 6322).\nAnswer: -26568*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 5*i + 4*i)*(-3 + 1 + 4) + 1 - 1 - 2*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -42923 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2396 + -2403. Sort g, -6, -1, 5, 0 in descending order.\nAnswer: 5, 0, -1, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17*f. Let m(i) = -2*i - 78336. Determine m(d(h)).\nAnswer: -34*h - 78336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1659 - 7327 + 1211)*(2 + 0 - 1 + (0 + 1 + 1)*(2 - 3 + 3) - 2 - 3 + 7 - 4 + 3 + 0)*(0*b + 3*b - 2*b) in the form h + f*b and give f.\nAnswer: -46650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n**2 + 2*n + 3. Let h be (2\/(-4))\/((-20)\/(-80)). What is q(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(-95*n**3 - 209*n**3 - 14*n**3) to the form k*n**2 + t*n**3 + r*n + g and give t.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/2 - 893*l**2\/2 + 29680*l + 35593600 = 0. Calculate l.\nAnswer: -227, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*r - 66 + 380 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (46*h - 10*h + 19*h)*(8*h - 32 - 10*h + h)*(0 - 5 + 4) in the form d*h + v*h**2 + n and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/7 in 3, 0.323, -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-3)\/(-144)*12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92743 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + (31 - 87 - -27).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3590 - -3532. Is -52 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + 2 + 0. Let m(x) = -k + x + 2 + 1 + 2. Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 282, 521, 764, 1011, 1262?\n\"Answer: 2*z**2 + 233*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 6*h - 2*h)*(0*h + 3505*h**2 - 3 + 0*h + 3 - 463*h**2).\nAnswer: -33462*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 157 + 4574887?\nAnswer: 4575155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53933 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -146 and -0.0462.\nAnswer: 6.7452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 64675624?\nAnswer: -64675635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-36) - (1 + -1). Let k = 13.4 + -9.1. Let y = k - 5.3. Is q less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/24 - 2*y**2. Let r(c) = 87*c**2 + 2*c. Let a(p) = -564*p**2 - 13*p. Let x(u) = -4*a(u) - 26*r(u). What is v(x(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 - 8*a - 13. Determine b(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.373003 times -148?\nAnswer: 203.204444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 85516, 342085, 769702, 1368367, 2138080, 3078841?\n\"Answer: 85524*y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 1 + 1\/2*y**5 + 1\/6*y**3 + 0*y - 1\/6*y**6 - 1\/2*y**4 + 0*y**2. Determine x, given that j(x) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - 152. Which is the closest to l? (a) -3 (b) -2\/7 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6*p = -48, 5*t + 91*p - 46*p - 528 + 522 = 49*p for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -996, -997, -998, -999?\n\"Answer: -h - 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1920 and 0.85002457.\nAnswer: -1919.14997543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjzmzmmzjz. Give prob of sequence jjzz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:37 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 + 2*s - 2. Let j be g(0). Solve j*c + 0*c + 9 = 3*u, -c = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955.48ml in litres?\nAnswer: 1.95548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) - (-939)\/9. Suppose 3*t = -2*c + 84, -42 = 4*c - 6*c + 4*t. Let d = c + y. What are the prime factors of d?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**4 - 5*n**3 - 25*n**2 - 9963 wrt n?\nAnswer: 4*n**3 - 15*n**2 - 50*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162521230705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696*h - 704*h = -8. Put 4, h, -5, 5, -427 in increasing order.\nAnswer: -427, -5, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-518)\/740*(-50)\/28)\/((-3)\/36*1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.6334759?\nAnswer: 0.06334759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/4 + 5*q**4\/3 + 70*q. Factor t(s).\nAnswer: -5*s**2*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12720 - -27772. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/3 - 1360*i\/3 + 18356\/3.\nAnswer: -4*(i - 13)*(i + 353)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 189\/11?\nAnswer: 189\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140146433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.405 - -16.405. What is the nearest to -5 in -4, -1\/3, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/20 + 3*l**4\/4 - 4*l**3\/3 - 4*l**2 - l. Let f be r(8). Calculate the remainder when (-4)\/(f\/110) + 1 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000 (base 3) in base 15?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 3.\nAnswer: -128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k - g - 1145 = 0, -3*k + 4*g + 849 = 0. Suppose 5*a - k = 2*y - 71, -2*y = 3*a - 120. Is (3 + -1)*a\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -251. Let p = q - -154.1. What is p rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70807999?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.5 + -32. Let g = -1.9 - -0.4. Let y = z - g. Sort -0.5, 0.2, y.\nAnswer: y, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 608.606 + -0.606. Let k = l - 608.766. What is k rounded to 2 decimal places?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 687.3? (a) -0.5 (b) 1\/10 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 7)*(-3*y + 0*y + 0*y) + (y - y - 2*y)*(-1 + 2 + 1) to m + o*y and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/1 + 2 + -3. Let w(u) = -u**3 + 1. Let g(p) be the first derivative of 7*p**4\/4 + 2*p**3\/3 + p**2 - 6*p - 23178. What is j*w(q) - g(q)?\nAnswer: -q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 328035871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7348 - 3661. Calculate the remainder when a is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107106 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 65, 241, 595, 1187?\n\"Answer: 10*k**3 - k**2 - 9*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 2*j**2 - 2*j**3 - 2*j + 28 + 0*j**2 to the form x*j**3 + d + z*j**2 + y*j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1678 - 471 - 3*v + 429.\nAnswer: -3*v + 1636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 169 + o + 3*o**2 - 169 + 2*o**2. Let u be n(-1). Let k(w) = -1 - 4 + w + w**3 - 4*w**2 + 3. Calculate k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/560*-105 - 63\/(-20)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -303314314 (base 5) to base 11\nAnswer: -76a687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383049771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -1. Suppose -u + 2*u - 4 = 0. Let b = u - -5. Calculate the least common multiple of n and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.15982 - -198\nAnswer: 189.84018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qveecbcqeevbcfq. What is prob of picking 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131717?\nAnswer: 107, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2053\/9 + -227. Let w = 186422\/3 - 62125. What is the common denominator of n and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h*h*h**(-10)*h))\/(h**(2\/17)\/h)**(5\/4) assuming h is positive.\nAnswer: h**(75\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u + 15 = 0, 0 = -5*w - 4*u + 4895. Let p = w - 687. Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 2 = 0. Suppose -7*z = 5*o - g*z - 60, 3*o = -2*z + 33. Solve 3*s + 12 = 3*j, -5*j - 5*s - 21 - o = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/(-4))*-9. What is the common denominator of 158\/8*(-3)\/g and 1 - 0 - (14\/(-8) + -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/2244 - (-6132)\/306\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 21675287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:37 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -481db (base 15) to base 13\nAnswer: -80870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from {o: 1, r: 2, u: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -9*c + 8*c + 3*s, -4*c + 40 = 3*s. Suppose c*w = 1510 - 33. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3))**13)**(-21) assuming w is positive.\nAnswer: w**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/56 smaller than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38164 and 1943732.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69\/(-468)*(-1 + 3). Let o = -1\/26 + p. Let b = -0.02 - -5.02. Sort -5\/4, b, o in decreasing order.\nAnswer: b, o, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2, -6*j + j - 1161 = 2*w. Let d = -187 - j. What is the greatest common divisor of d and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-15 + -12 - -2) - (4 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 345 - 240. Let x = 27 - w. Let h = x - -145. What is the remainder when h is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 41, 79, 103, 95?\n\"Answer: -3*c**3 + 20*c**2 - 5*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9962279951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:40 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-12))\/(1\/(-30)*-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 64320 (b) -1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/(-9))\/(15\/(-18))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -7538655?\nAnswer: -7538651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-12)*-2 - (2850\/76 - 64)\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 + 4.1. Let n = 1504 - 1509. What is the second smallest value in -2, n, -28, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 16) to base 10.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 514 + 1401.8.\nAnswer: 1915.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b - 1 + 0)*(71*b - 13*b - 9*b + (2 + 0 + 6)*(-1 + b + 1)).\nAnswer: -171*b**2 - 57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16584324 a multiple of 727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31201?\nAnswer: 41, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7471374*l**2 - 7864063*l wrt l.\nAnswer: 14942748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (4 - 0) - -2) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40 + -37 + 58 + (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7740 (base 10) in base 12?\nAnswer: -4590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47151.10963 rounded to zero decimal places?\nAnswer: -47151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 21. Determine l(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 23*j**6\/8 + 46*j**5\/15 + 94*j**2 - j. What is the third derivative of y(l) wrt l?\nAnswer: 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 8*q**2 - q**3 - 2 + 6*q**2. What is the lowest common multiple of u(-3) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36819834*k**3 - 4296936 with respect to k.\nAnswer: -110459502*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(162) + 0 - (1 + -1 + sqrt(162) - sqrt(162))) + -1*(1 + sqrt(162))*4)**2.\nAnswer: 216*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76450, 76391, 76244, 75967, 75518, 74855, 73936, 72719?\nAnswer: 71162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8799\/5*t**2 - 12\/5 + 2556\/5*t = 0 for t.\nAnswer: 2\/419, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714596809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 37 = -4*j, j - 4*g + 5 - 27 = 0. Let h = j - 10. Solve -3*i = -0*i + w - 2, h = -2*i - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 112788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*2*1 + sqrt(576))\/(2*(sqrt(8) + -6*sqrt(128))) + -1)**2.\nAnswer: 18*sqrt(2)\/23 + 691\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 - 9*z**2\/2 + 117*z\/8 - 21\/2.\nAnswer: 3*(z - 7)*(z - 4)*(z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - (-147)\/9. Suppose 2*p - m = -0*p - 4*t, -5*p = 3*t - 26. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -399, 75, -7 in ascending order.\nAnswer: -399, -7, -2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1542.97 from -0.01.\nAnswer: 1542.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/3)\/(9\/(-81))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y = -22*y - 2444 - 276 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006192 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 78.2552*-0.3\nAnswer: -23.47656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 135432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*40\/165?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 2*c + 452. Let g(j) = -j**2 + j + 226. Let r(x) = -5*g(x) + 3*s(x). Is 18 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/((-6138)\/24))\/(-2)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -9. What is the nearest to 2\/3 in s, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/323344 and 75\/254056?\nAnswer: 3556784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40318540 divided by -876490\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5498882, 8, 3.\nAnswer: 3, 8, 5498882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/20 + (-18)\/(-5). Solve 12 = -4*n + 3*z, -2*n - 2*n + b*z - 16 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33221*r + 10580*r - 44698*r - 20747*r.\nAnswer: -88086*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d. Let h(y) = -645*y**2. Calculate w(h(f)).\nAnswer: -8385*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 445.8256 to the nearest integer.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7519, -7606, -7693, -7780?\n\"Answer: -87*r - 7432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576145 is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1)*2\/2. Factor 24*k - 3*k**4 - 26*k**2 - 10 + 3*k**4 + 2 - 2*k**4 + 12*k**g.\nAnswer: -2*(k - 2)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, 1, -1 in decreasing order.\nAnswer: 40, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 - 6*g - 11. Let f be p(8). Suppose -40 = -10*h + f*h. What is the smallest common multiple of 7 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*l + 160, -2*r + 122 = 2*l - 84 + 126 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2060182, -4120365, -6180548, -8240731?\nAnswer: -10300914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 574, 1521, 2880, 4657, 6858, 9489?\n\"Answer: k**3 + 197*k**2 - 57*k - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120323220 (base 4) in base 14?\nAnswer: -29304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (120309\/28)\/(1271\/4264 - 2\/(-26)). What is the greatest common divisor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258 + 270. Which is the nearest to m? (a) -0.2 (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 23 + 21 - (-4 - -2 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142*g + 235?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 - 126. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -5\/2 (c) 8\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*g + 14 = 6*g, -2*n - 3*g = -12. Let b be (2\/6)\/(n - 6). What is the biggest value in b, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/83712 and 169\/120.\nAnswer: 418560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40834*z**5 + 3*z**4 - z**2 - 138*z - 74.\nAnswer: 2450040*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {l: 2, m: 1, g: 1, c: 1, d: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106400 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -7\/156 (c) 1\/6 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -5, 1\/15, 1?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12623 + 12624. Suppose 0 = 2*w - w - 11. Suppose -w*h - 105 = -16*h. What is the greatest common factor of h and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 119546?\nAnswer: -4\/59773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-160) + (0 - 0). Let w(d) be the second derivative of k*d**5 + 0*d**4 + 0*d**2 - d + 0 - 1\/12*d**3. Factor w(a).\nAnswer: a*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -992, -1973, -2970, -3989, -5036, -6117?\n\"Answer: -x**3 - 2*x**2 - 968*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -32051*g**2 - 24*g - 12. Let y(b) = -12823*b**2 - 10*b - 5. What is 5*n(m) - 12*y(m)?\nAnswer: -6379*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37263.57mg in micrograms?\nAnswer: 37263570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1939 - -1949. What is the closest to -0.1 in 0.4, -0.2, -5, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 79*z**3 - 4*z**2 - 57*z**3 - 39*z**3 to w*z + c*z**2 + a*z**3 + b and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77382 - -65929441\/852. What is the common denominator of -61\/426 and u?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmp. What is prob of sequence pmz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/120*k**6 + 3*k**2 + 0*k**5 + 0*k**3 + 1\/6*k**4 + 0 + 0*k. Factor f(p).\nAnswer: -p*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Suppose -h*c + 12 = -0. Let o = 4 - c. Solve s = -o + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 777288, 777287, 777286, 777285, 777284?\nAnswer: 777283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431 + 14 + -10 + (-16)\/(-4)?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8141 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(6)\/sqrt(3)))\/(sqrt(8)\/sqrt(2)*-3) + -3 + (sqrt(300) + -2 - sqrt(300))**2*2 + sqrt(300).\nAnswer: 5 + 29*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28147, 17243, 6337, -4571?\nAnswer: -15481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Find the third derivative of 2*a**2 + a**4 + a**4 - 2*a**s - 2*a**2 wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031420304 (base 5) in base 12?\nAnswer: -14912a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 - 7 + (-1 + 4 - 1)*(-3 + 2 - 1))*((h**3 - 2 + 2)*(0 - 1 + 3) + 2*h**3 + 0*h + 0*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 29 - 4*h - 25 - 51.\nAnswer: -4*h - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 3*s + 4*o, 8*s - 939*o + 941*o - 104 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7135393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/((sqrt(44)\/sqrt(2))\/sqrt(2)) - (sqrt(540)\/(sqrt(360) - sqrt(10) - sqrt(10)))\/sqrt(2))*-2.\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4320) + sqrt(4320) + sqrt(4320) + (sqrt(4320) - (sqrt(4320) + (sqrt(4320) - (-1*sqrt(4320) + sqrt(4320))))))\/(sqrt(10) - sqrt(40)\/sqrt(4)*2).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2)\/t)\/t**(-2\/9) assuming t is positive.\nAnswer: t**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n. Let j(q) = 44*q - 7 + 47*q - 93*q. Let k(s) = s. Let h(w) = -j(w) - 4*k(w). What is f(h(c))?\nAnswer: 4*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -3.8. Let r be (-1)\/7*(-8 - -5). Which is the closest to -0.1? (a) r (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 16*h - 61. Let b be v(-8). Is 50 a factor of (1 - (-151)\/b)\/((-16)\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 2196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/60 - (6\/4)\/3. What is the second biggest value in f, 0.2, 7\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 6. Let a be h(-7). Let c be ((-1 - 0)*-1)\/a. Let m be -4 + 8 + -1 + c. Solve 2*f - 4*q - 9 = f, m*q + 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**3\/3 + 2. Let f(r) = -2*r + 5. Let x(h) = -21*h + 56. Let q(w) = -56*f(w) + 5*x(w). Calculate u(q(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(64)*-5 + sqrt(64))*3)\/((sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2)*-5)) + sqrt(32)\/sqrt(4)))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384629.7 rounded to the nearest one thousand?\nAnswer: 385000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let y = -1 - j. Let q(r) = -r**3 - 15*r**2 + 40*r + 99. Let o be q(-17). What is the closest to y in o, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + t)*(-3 + 2 + 4)*(-16 - 3 + 61).\nAnswer: 126*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4146 + 4150. What is the biggest value in 87, 2, k?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 f when three letters picked without replacement from {i: 1, b: 2, e: 5, f: 7, t: 1, a: 1}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -196 + 176. Let j(k) be the third derivative of 0*k + 4*k**2 - 1\/24*k**3 + 1\/48*k**4 + 0 - 1\/240*k**m. What is o in j(o) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/(-10))\/(-12) + (-1 - (-27)\/5). Solve 2*k = u*k + 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 9*v**2 + 9*v - 20. Let z be p(-10). Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3973\/4 or 1868?\nAnswer: 1868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 61*s**2 - 4*s - 3. Let x(p) = -p**3 + 121*p**2 - 7*p - 5. Determine 5*d(a) - 3*x(a).\nAnswer: -2*a**3 - 58*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 6*i**2 - 6. Let v(j) = 6*j**3 + 13*j**2 - 13. Suppose 0 = -4*c + 8*c + 52. Give c*x(o) + 6*v(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 34019*u**2 + 143*u + 34019*u**2)*(5 + 1 + 4).\nAnswer: 20*u**3 + 1430*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18739 less than -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 + (-272)\/24*27. List the prime factors of (-9)\/(-6)*s\/(-6).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 5. Suppose 0 = -5*n + v + q, 0 = -5*v + 25. Factor -6*p - 3 + 3*p**2 - 2*p**2 - 4*p**n.\nAnswer: -3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.678 - 1.478. Let w = -7.27 - 0.23. Let v = o + w. Sort 0, v, 5, 0.4.\nAnswer: v, 0, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1513 divide 164069720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3360872 and 456?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-175)\/49 - (24\/(-42) - 0\/(-1)). Let o be 4\/10 - 4\/10. Put j, o, -46 in decreasing order.\nAnswer: o, j, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*c**3*n - 1081*c**3 - 329*n*x - 8*x wrt n.\nAnswer: 16*c**3 - 329*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**2 + 0 - 3\/4*w.\nAnswer: w*(w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 96273860, 192547719, 288821580, 385095443, 481369308, 577643175, 673917044?\n\"Answer: h**2 + 96273856*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z + 3 - 72*z - 44*z - 101*z + 12*z.\nAnswer: -148*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y + 14. Suppose -3*p + 0*p = -2*t + 2, 0 = t + p + 9. What is the remainder when z(t) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c**3 - 24*c**2 + 24*c**2.\nAnswer: -62*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -607c?\nAnswer: -6080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257431713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 9*d + 16. Let v be k(8). Suppose v*c - 20*c = -440. Let y = -75 - c. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143626 is divided by 11047?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/2 + 14257*c**3 + 71274*c**2 + 42759*c - 256581\/2 = 0.\nAnswer: -28509, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 1, i: 1, a: 2, x: 2, h: 1}. Give prob of sequence xia.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32.01 or 19?\nAnswer: 32.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - -49. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95342130 divided by -585.\nAnswer: 162978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-35)*70\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07975261 + -83.1.\nAnswer: -83.17975261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*(3 - 0). Suppose u = -0*t + 2*t - s, 3*t = u + 5. Find the second derivative of -3*h**4 + 17*h**3 - 17*h**t + 3*h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + n**2 + 0*n**2 + 1 + (-n - 4 + 4)*(-2*n + 2*n - n) + 1 + 4*n**2 - 1.\nAnswer: 6*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 1*-4 - 1. Let i(n) = 2*n - 5. Let k be i(4). Suppose 5*r + k*h = 21, 5*h - 4*h = -3*r + 11. Put -1, r, f in increasing order.\nAnswer: -1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 790098501*s**3 - 683326735*s**2?\nAnswer: 4740591006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a**2 + 15 + 3*a - a**2 - 14. Determine o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*k**3*u**3 - 8*k**3 - 2772*k*u**3 wrt k.\nAnswer: 108*k*u**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 6460?\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((946020\/75)\/(-2))\/(6\/(-15)).\nAnswer: 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/(y*y\/(y*y**(-3\/2)))))**(1\/14)*(y*y**(-9\/5))\/(y\/((((y**(-16)\/y)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-3007\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/7 (c) -3 (d) -0.02 (e) -14715\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 289.7725 times 0.02\nAnswer: 5.79545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005892124 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388465 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-721)\/105 + 1 + 6. What is the closest to -10 in 1\/2, -0.24, h?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.77 + -1.77. Which is greater: a or -7.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -105, -101, -95, -87, -77?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(48) + 2)**2*-3 - (5 + (sqrt(48) - sqrt(96)\/sqrt(2)))**2).\nAnswer: -181 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6 + 4*t + 6 + 0. Let r(f) = -f**2 + 3*f. Let b(z) = -3*n(z) + 4*r(z). Let l(v) = -v**2. Determine b(l(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 - 3*c**2 - 2*c - 4. Let x(w) = 9*w**3 - 6*w**2 - 5*w - 11. Calculate -5*t(u) + 2*x(u).\nAnswer: -7*u**3 + 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/3 (c) 0.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*n - 116, -n + 5*n + 3*g = 109. What is the remainder when n is divided by -21*-2*1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = i, -25 = -5*j - 4*i. Calculate the smallest common multiple of 40 and 90\/3*j - (6 - 6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 16. Let s be 24\/f + (1 - 3). Find the third derivative of -5*x**3 + s*x**3 - x**2 + 5*x**2 + 5*x**3 wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3275001 to 3 dps.\nAnswer: 0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + 40. Let p = w - 62. Let s = p - -36. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 44. Let a = h + 16.8. Let s = 1.19999928 + a. Round s to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.13, -27\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124552935 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 5, n: 3, i: 5, k: 5}. Give prob of picking 1 n and 2 k.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -93. Calculate the smallest common multiple of 45 and z.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*m - 97*m - 40 = 0. Let d(a) = -2*a**3 + 19*a**2 - 9*a - 12. List the prime factors of d(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 18*d = -60. Calculate the remainder when (-2)\/(-7) - (-542)\/14 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2 + (2 - 55\/(-19))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 44 = -4*m - 4*c, -5*m + 4*c + 46 = 0. Suppose m = f + 6. Suppose f*w = -3*h - 129 + 338, 76 = w - 4*h. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 63 = 3*c, 6*y + 4*c - 49 = 3*y. Calculate the remainder when y is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1695, 4677, 7661, 10647, 13635, 16625, 19617?\nAnswer: 22611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + q. Let s be a(2). Let p = s + 8. Solve -t + p + 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -315 (b) 11 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14207634*l. Let u(m) = 3*m + 3. Calculate u(w(a)).\nAnswer: -42622902*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9842 divided by -1523.\nAnswer: -9842\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -26827.286 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(15\/(-6))*(-15)\/2. Suppose 31 = 3*r - 8. Let n = i - r. Solve 10 = 3*l - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-10))\/(7632\/42400).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = -5*h - 13*z, -5*h + 3*h + z = 3*h + h + 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 94938 + -1.016\nAnswer: 94936.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28.2891l?\nAnswer: 28289.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -67. Let f = -152 + 128. Let o = p + f. Which is the third smallest value? (a) -5 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11)*-1 - sqrt(11)) + -1.\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -23*n + 1\/4*n**5 - 7\/2*n**3 + 0*n**4 + 0*n**2 + 0. Find the second derivative of w(b) wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvvppipp. Give prob of picking 1 v and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59013.12 minutes?\nAnswer: 3540787.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -264693, -264587, -264481?\n\"Answer: 106*l - 264799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 13*l - 743. Give b(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17458*-0.4.\nAnswer: 6983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 4. Let g(l) be the first derivative of l**2 + 5*l - 2. Let c be 1 + (-4)\/(4\/3). Let o = 0 + c. Calculate o*g(i) + 3*q(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457293 is divided by 8022.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 29*l - 121. Let m be i(4). Which is the closest to -4? (a) -2 (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-5)*-1*(-63)\/((-5292)\/210)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*o + 13 = 0, 3*o + o = -5*d - 47. Let s = d - -17. Let w = 5 + -2. Solve -w*f - s = 4*r, 2*f + 5*r + 10 = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 16*r**2 + 38*r - 20.\nAnswer: -2*(r - 1)**2*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = u - 3*a + 11, 5*u = 2*a + 5. Let r(l) = -3 + l + 1 + 3. Let q(d) = d - 1. Let s(i) = u*r(i) - q(i). Let j(c) = 2*c**2. Determine s(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2274 divided by -3\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 1. Suppose 0 = -2*b - g + 3*g - 6, 4 = 2*g. Let f be i(b). Suppose 3*h - 8 = 4*x + 7, f*x = 6. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 6*l**2 - 3*l - 10. Let h be p(7). Suppose x = 23 - h. Solve -2*m = -x*z - 0*m + 11, 0 = 2*z - 2*m - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**3 - 20*v**2 - 75*v - 368. Calculate k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + 55 + -110 + 91?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 10*h**2 - h - 11. What is q(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4347752 is divided by 578?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 3 + 3)*(-m**2 - 3*m**2 + 3*m**2) - m**2 + 2*m**4 + m**2 - 13*m**2 - 2*m - m**4 + 13*m**2 as x*m + h*m**3 + t + s*m**4 + b*m**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 34. Let d be 5 - (v*4)\/(-4). Solve -2*g + d = 0, g + g = -3*j - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 7:27 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/146 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12777298 and 32?\nAnswer: 204436768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 107 = 5*k + 404, -5*h + k - 805 = 0. What are the prime factors of h\/(-21) - 2\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*w + 2 - 0, -5*a = -w + 11. Let d = -12.53 - -14.53. Let q(h) = h**3 + 4*h**2 + 2*h - 1. Let u be q(-3). What is the nearest to u in a, 2\/15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 2\/1377, -0.3?\nAnswer: 2\/1377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179519 - -1093230. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -126. Which is the fourth smallest value? (a) -1\/2 (b) 0.5 (c) -0.2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28737.78 hours in days?\nAnswer: 1197.4075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 486621156 divided by -40701?\nAnswer: -11956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1573) + (sqrt(1573) + 0 + sqrt(1573))**2*2 + sqrt(1573)) - -4*-2*sqrt(1300)*3.\nAnswer: -152*sqrt(13) + 50336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135609204 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 1, e: 4}. What is prob of picking 1 u and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 + t**2 + t - 2. List the prime factors of g(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*q**2 + 0*q - 1\/4*q**5 + 1\/4*q**3 + 0 + 1\/2*q**4 = 0. What is q?\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 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3 - -37) + -60 + 59?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 13\/10*v**3 + 12*v - 3\/4*v**4 + 2 + 3\/5*v**2. Factor x(m).\nAnswer: -3*(m - 1)*(15*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4395\/88409 or 1?\nAnswer: 4395\/88409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:12 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141 - -1c45e?\nAnswer: 1c31d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.233 + -0.025. Round c to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-12))\/(14\/6 + -3). Let h be j\/(-1) - (4 + -3). Let b(p) = -p**3 - 6*p**2 - 4*p + 2. List the prime factors of b(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 172656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33685068*q**2\/7 - 33685066*q\/7 - 2\/7.\nAnswer: 2*(q - 1)*(16842534*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 3 + 14)*(2 - 2 - 2*j)*(-4*j + 6*j**3 + 4*j) in the form s*j + y*j**2 + u*j**3 + t + b*j**4 and give b.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-6) + 1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t - 2*o + 25, -3*t + 90 = 3*o. Suppose -330 = 8*d + 2*d. Let s = -26 - d. What is the remainder when t is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304889483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58498716, 58498718, 58498720, 58498722, 58498724, 58498726?\nAnswer: 58498728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -40788284 divided by 4\nAnswer: -10197071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from jllkklljlktljkttlt.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*i - 194852 = 38563. What is the greatest common divisor of i and 1323?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b - 74 = 127*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -19*s**2 + 17*s + 20. Let t(h) = -41*h**2 + 35*h + 43. Let f(j) = -13*o(j) + 6*t(j). Let k = 8 + 2. Calculate f(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.5 and -0.24.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j + j**2 - 10*j**5 - 57538 - 282*j**3 - 5*j**2 + 57539 wrt j?\nAnswer: -600*j**2 - 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 + -409 - (1 + -135)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/8)\/(1\/(-62)). Let c = -29 - v. What is the third derivative of 9*x**2 + 5*x**c - x**3 - 3*x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -145*v + 148*v. Let s(t) = -36 + 36 - 10*t**2 + 2*t + 7*t**v. Let p(f) = -2*f + 2*f - f**2. What is p(s(m))?\nAnswer: -9*m**4 + 12*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-4 - 1 - 27). Suppose u = -5*t - 0*u + g, -5*t + 132 = -u. What is the highest common factor of t and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 2*w - 1 - 2*w + 6*w + (0*w - 2*w + 0*w)*(-w + w - 4*w) + 0*w**2 + w**2 + w**2.\nAnswer: 11*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -229, 13 in increasing order.\nAnswer: -229, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 3, -409, -4, -349, 0.1 in decreasing order.\nAnswer: 3, 4\/9, 0.1, -4, -349, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28941 + 28511 = -10*l for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -11. Suppose 2*h + 3354 = y*w, -6*h + 3*h = 4*w - 3359. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-16)\/(-30)))\/(55*(-162)\/(-5940))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1191411 and 14975.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 126. What is the nearest to h in 0.2, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740751.\nAnswer: 3, 11, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-70))\/(8\/98)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 4 + 0*f**4 + 0*f**3 - 1\/30*f**5 - 14*f**2 + 0*f. Let g(v) = -116*v**2. Determine g(t(d)).\nAnswer: -464*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16602549323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/37))**(-4\/19)*(r\/r**(2\/27))**(-13) assuming r is positive.\nAnswer: r**(-228367\/18981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344 - 687\/2. Let m = -5 + 3. Let x be -1*(-1)\/m*1. Which is the nearest to x? (a) 0 (b) 3\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334 = 85*w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26334 and 30666.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 18, w: 1}. Give prob of picking 3 x.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/10)\/((-9)\/(-15)). Let u = 1747\/11 - 159. Let w(m) = -m**2 + 3*m + 2. Let d be w(2). What is the nearest to 0 in u, x, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 30. Let w(y) = -27*y**2. Give c(w(h)).\nAnswer: 1458*h**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 555 + -363. Suppose c = 9*g + 3*g. Calculate the remainder when 78 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92958 or 92957?\nAnswer: 92958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 196?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9*k + 150 = 0. Suppose a = 4*y - 35, 0 = -3*y + 2*y + 5*a - k. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/3, -1380, -3062 in descending order.\nAnswer: -0.1, -1\/3, -1380, -3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 2 = 16*v - 3. Let w = 9 - 5. Let x(h) = 2*h + 5. Let r(u) = 4*u + 11. Let a(b) = 4*r(b) - 9*x(b). Let y(g) = -2*g - 1. What is v*y(m) + w*a(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63291 - -63303. Let i = -12 - -15. Let a be 1*-2 - 7\/(-1). Solve -a*w - i*c = g, 2*c + 4 = -3*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16771\/7 + 2293. Let j = v - -104. Let y = -9\/7 + j. Which is the biggest value? (a) -0.3 (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1704 - -1696.93. Let t = j + 6.7. Let y = 0.03 - t. What is the closest to 0 in -4\/7, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 103, 234, 417, 652, 939, 1278?\n\"Answer: 26*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:25 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 + 2286*c**3 - 606*c**3.\nAnswer: 1680*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -44*d**3 - 10*d**3 - 24*d**3 + d + d**2 - 2*d**2 + 1. What is the remainder when r(-1) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -21. Sort q, -0.18, 2 in decreasing order.\nAnswer: q, 2, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55074943*k**4*y - 69662088*k**2 + y wrt k.\nAnswer: -1321798632*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111354539.\nAnswer: 71, 71990909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3)\/(1\/(-2)). Let g(k) = i*k - 6*k + k. Let m(s) = -s. Give m(g(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-12) + 4\/(-6). Let f be -3 + 72 + n + 1. Suppose w = -3*g + f, -w = 4*g + w - 98. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*k - 6 = 0, -4*k + 5*k = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2912 at least as big as -2900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6035\/3 - -10029\/5. Let c = 26\/5 + l. Let o = -51 + 35. Is o <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -i. Suppose -6*f = -i*f. Solve f = -r + 5*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594256.\nAnswer: 2, 37, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 3 (c) -1\/6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, 0.376, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 - 10*x**2 + 10*x**2 - x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 436876, 436885, 436894?\n\"Answer: 9*x + 436867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000001111111 (base 2) in base 14?\nAnswer: -474b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/2 + 42*x**2 - 819*x\/2 - 1620 = 0. Calculate x.\nAnswer: -3, 15, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.243 - -0.183. Let u = k + -0.226. Suppose -4*z - v - 6 = -0*v, 5*v + 11 = -z. What is the closest to -0.01 in u, 1\/2, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.6, -1\/27, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:59 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 6*f**2 + 2*f**3 - 4 - 4*f - 2*f**3. Suppose -14*v + 22 = -19*v - 2*g, 3*v = -5*g + 2. What is the tens digit of n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160000470 - 17?\nAnswer: -160000507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*((a**(-15)\/a)\/a)\/a)\/a*a**16 assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 878 and -219?\nAnswer: -192282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**5\/20 + 5*y**4\/12 + y**3 - y**2\/2 - 140*y. What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (7 - -4) - ((-8 - -10) + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 104\/20 - (-2)\/(-10)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1 - 3 + 11 + k + k. Let i(n) = 2*n - 6 + n + 0 + 20. Determine -8*d(l) + 5*i(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -94\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.8 - -6. What is the nearest to -2 in 5, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -1.2. Let n = b + -1. Let a = 0.02 + -0.32. What is the biggest value in -4, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 + 10*c**3 - 11*c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 9*x**2 - 77*x - 851. Determine q(-9).\nAnswer: -2345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxdxdxxxx. What is prob of sequence xdx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*4 + 10. Let s = -9760 + 9764. Sort s, d, 1 in decreasing order.\nAnswer: d, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -4*m**3\/3 + 7*m**2 - 2*m + 161. Determine c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - 11*l + 25*l)*(10*l**3 - 24*l**3 + 13*l**3 + 10*l**2).\nAnswer: -2*l**4 + 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2. Let i(b) be the first derivative of -4*b**2 + 4 - 3 + 3*b**2. What is l(i(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47.688 and -1.\nAnswer: 47.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7\/682?\nAnswer: 7\/682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-32))\/((-175887)\/(-781720)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -1\/33, 0.1, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 6118*s**5\/5 + 77*s**3\/3 + 33*s + 2869. Find the third derivative of t(w) wrt w.\nAnswer: 146832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4847 (base 11) to base 12\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.743858 decades in millennia?\nAnswer: 0.08743858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 19*f. Let o = 41 + -29. Let r = o - 11. Let s be q(r). What is the highest common factor of 133 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*((2 + r - 2)*(-3*r + 3*r - r) - r + r + 2*r**2 - 3*r**2 - 2*r**2 + 3*r**2) + 0*r**2 - 2*r**2 + r**2 + (0*r - 3*r + 4*r)*(-3*r + 4*r - 2*r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1188 by 6.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 623 and 63?\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 33916?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22196, 16587, 7238, -5851?\n\"Answer: -1870*d**2 + d + 24065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374230.\nAnswer: 2, 5, 37423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11350, -11328, -11262, -11134, -10926?\n\"Answer: 3*k**3 + 4*k**2 - 11*k - 11346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1242 and 2001.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9890151, -9890149, -9890145, -9890139, -9890131, -9890121, -9890109?\nAnswer: -9890095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from vqqqqvrqqrqqrr.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 25 = 66*o - 57*o, -5*k - 4*o + 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmd when three letters picked without replacement from {m: 1, d: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*i**3 - 2*i + 1 - 10*i**3 + 1 - 1 to y*i**3 + u*i + k*i**2 + t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83.9 - 83. Let y = -53.4 + k. What is y rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q - 3. Let g be b(-3). Suppose 0*j - 5*j + 15 = -g*i, -4*j - 2*i = 10. Suppose f - 4*d - 72 = j, -4*d = 5*f - 3*d - 276. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039159094 to 5 dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110100210 (base 3) in base 12?\nAnswer: 42940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10011100?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 139*l**2 - 2*l - 2. Let r be j(2). Suppose -4*w - n = -4*n - 475, 5*w + 5*n = r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 13970, -2, -5, -4 in decreasing order.\nAnswer: 13970, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 232*f**2 + 3064*f - 2567. Determine n(218).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 2\/5, 5, 4, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 7 - 9 + 2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2673*j + 89700 = -2650*j. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g + 5*g**3 - 3*g + 49 - 51 + 2*g in the form c + v*g**3 + j*g + l*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4465857 take away -1234074?\nAnswer: -3231783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1327290940 divided by 5.\nAnswer: 265458188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40343 plus 90538?\nAnswer: 90537.59657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/12)\/((-1)\/(-3)). Let m = -130809\/30866 + 15\/1403. Find the common denominator of m and 0 - (-202)\/(-4) - b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*d + 2355*d = -5017*d + 320896 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -15. Let f = y + -6. Let l be (0 - (7 + -4)) + 3. Which is the biggest value? (a) l (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x**4 + 11*x**2 + 65*x + 11. Let s(r) = -6*r**4 - 2*r**2 - 13*r - 2. Let b(q) = 11*s(q) + 2*v(q). What is the second derivative of b(d) wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*x + 22, 9*x - 6*x - 31 = -4*y. Suppose -r - 4 = c, -r + 5*c = 2*r - 12. What is the remainder when (1 - r)\/((-8)\/(-116)) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37394, 56933, 76472, 96011, 115550?\nAnswer: 135089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*c, -c - 3*m = 2*c - 24. Let q = 5 + c. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y + 100*y**2 - 25*y**2 + 22*y - y**3 - 10*y as a*y**2 + s + o*y + r*y**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2617 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:06 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/19 - 16\/171. Let l = -1.26 + -0.24. Let u = l + 1.3. Which is the nearest to d? (a) 0.4 (b) u (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 11353314.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g - 4*g. Let f = -3 + 20. Let v = f + g. Solve 0*r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*u + 1200 = 111*u. Suppose 0 = -b - 14*b + u. Solve -5*p + 9*p + b = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 2, q: 1, m: 3}. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -624, -1250, -1876, -2502, -3128?\n\"Answer: -626*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let n(v) = 111*v + 2. Determine -2*b(t) + n(t).\nAnswer: 113*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = 2*z, p = 5*z - 13. Let r(i) = i**3 + 2*i**2 + i + 17. Let m be r(0). Solve 2*l + 5*g - m = 0, 5*l + z*g + 5 = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d**3 - 2*d + 1. What is o(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 21 = -3*y, -3*i - 4*y + 182 = 153 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2189 and 185644712?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2. Suppose 2*j + 4 = d, 4*d - 6 = 3*d + 3*j. Let p(m) = 3*m + d*m + m. Determine p(n(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/10 + 5\/25. Solve -w*c + 3*c - 10 = -5*v, 0 = 5*c + 3*v - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96752158 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 75. Let y be ((-1)\/1*1)\/(r\/6). Sort y, 0, 11.\nAnswer: 0, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {x: 3, d: 4, v: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2267, 3945, 5067, 5627, 5619, 5037?\n\"Answer: -j**3 - 272*j**2 + 2501*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10\/101, 84, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -25*g**2 - 763*g + 2987. Give z(-34).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 - 18*r**2 - 2*r + 9. Let u be l(-5). Let z = u + 920. Let w(q) = q**2 + 11*q - 13. Calculate w(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnoz when four letters picked without replacement from onnoozmnozvnonnn.\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/27088971 and 73\/52.\nAnswer: 108355884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r + 31*r - 3844. Is r not equal to 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 156, 369, 686, 1083, 1536?\n\"Answer: -4*g**3 + 76*g**2 + 13*g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 13 + -2 - (-1178 + 1162)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-38) + (-2840)\/(-95). Solve 24 = -3*z + i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*g + 238*g + 287*g + 236*g + 239*g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -23*v**3 + 3189*v**2. Let t(f) = 4*f**3 - 532*f**2. What is -6*l(r) - 34*t(r)?\nAnswer: 2*r**3 - 1046*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -9.08 (b) 3 (c) -124 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 98. Determine n(-12).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*h - 449 = 195*h + 121 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255672 + -255673.16123. Let d = -1.155 + -0.005. Let n = s - d. What is n rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -138*w + 30. Let n(j) = 35*j - 7. Give 2*k(r) + 9*n(r).\nAnswer: 39*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -131. Suppose 2*z = -4*f + 6*z - 4, -2*f = z - 1. Let l(h) = -h**3 + 2*h**2 + h + 2. Let d be l(3). Sort d, o, f.\nAnswer: d, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwwy when four letters picked without replacement from yywedwc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 304751 and -0.04.\nAnswer: 304750.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1706937\/652 + 2618. Let h be (-4)\/(-6) - (2\/4)\/((-84)\/(-280)). Is y > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7*y - 23 + 9*y.\nAnswer: 2*y - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005882 rounded to 4 dps?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j + 4. Let f(r) = 4*r + 2. Suppose 2 = -5*s - 33. Let c = 9 - 1. Let g = -5 + c. Calculate g*u(o) + s*f(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2a046 (base 11) to base 13\nAnswer: -16542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 40 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.9 + 4.1. Let y = 15.986 - i. Let a = 0.0191 + y. What is a rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10398 and -0.13?\nAnswer: 1351.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 47bc (base 13) to base 6\nAnswer: 114514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(704) + 1)*-6*4)**2.\nAnswer: 7296*sqrt(11) + 405865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/19 - -164\/399. Let f = w + -8\/21. Which is the nearest to f? (a) -5 (b) 30 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k. Suppose x + m - 25 = 0, -x - 12*m + 16*m = 0. Calculate the remainder when f(-7) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -21 - 7*r + 17*r - 13*r - r**3 - 7*r**2. Let z be s(-7). Put 3, 4, z in decreasing order.\nAnswer: 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 5:00 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 273355641 a multiple of 4563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, 1495, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l + 7 + 2*l**2 - 19*l + 10*l - l**2. Suppose 4*x = 2 + 14, x = 4*g. Let n(j) = -4*j**3 - j**2. Let r be n(g). What is s(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2. Let d(l) = -66*l**2 - 210. Give d(i(x)).\nAnswer: -1650*x**4 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 27*x. Let f(b) = -141*b + 273*b - 127*b. What is k(f(a))?\nAnswer: 135*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11*m = -36. Suppose 3*c + 6 = -3*g + 3, 5*g + m*c - 3 = 0. Let t(k) = -k + 1. Let r(s) = -2*s - 3. Give g*t(u) + r(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -35*w - 1. Let l = -4 - -7. Let c(x) = x**3 - 2*x**2 - 5*x + 3. Let r be c(l). Let u be b(r). What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*y**2 - 9 - 149*y.\nAnswer: 4*y**2 - 149*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/5)\/(4348\/20653)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -5*d - 1, -2 = -v - 3*d. Find the third derivative of -11*h**v + 8*h**5 + 3*h**2 - 2*h**5 wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1\/9, 5, -4, 1, -2283?\nAnswer: -2283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-338*k + 82*k + 29*k)*(16*k - 2*k**3 - 16*k).\nAnswer: 454*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o + 3*o)*(3 - 1 + 1)*(873 - 90 - 74) to v + b*o and give b.\nAnswer: 2127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25 + 35. Suppose -u = d - 0*u - 8, 4*u = b. Let g = 5 + -2. Solve -12 = -4*h, -h + 11 = g*s + d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 24 + 2*q**2 + 36*q - 25*q**2 + 5*q**2.\nAnswer: 3*(q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - (-60099)\/966) + 3\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*j**5 + 18*j**4 + 2*j**3 - 13928*j - 2 wrt j?\nAnswer: -3420*j**3 + 216*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18205.13859 - -0.051.\nAnswer: -18205.08759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 29*w**3 - 60 - 34 + w.\nAnswer: -29*w**3 + w - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlllxxxxlxlllxllnxx. Give prob of picking 2 x.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - 0.68. Let l = w - -0.7. Let d = -2 + 3. Which is the nearest to -2\/5? (a) -5 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1576\/(-136) - ((-8)\/(-12)*-16 - (-33)\/(-99))\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10792)\/(-1278) - (2 + 14\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5674 is divided by 73?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2768931490.\nAnswer: 2, 5, 13, 103, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 110*h**2 + 2*h + 28. What is the thousands digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 9*l**2 - l + 1. Let h be i(9). Let n = 15 + h. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 (base 11) in base 10?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 14, -1\/5, 2326 in decreasing order.\nAnswer: 2326, 14, -1\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4800263 - -3?\nAnswer: -4800260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 528*j - 36961. Determine t(70).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1011000 (base 2) to base 16\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*y = -1175*y + 2*x - 15, 5*y = x + 38 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 4, -5*i = -0*q + q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) -566 (b) 0.3 (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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 next term in -40, -87, -134, -181, -228, -275?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168827088 take away -1?\nAnswer: 168827089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268 + -2198 - (-1 + 42)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 20*a - 64. Let g be i(-13). Put -11, g, -2, 0 in descending order.\nAnswer: g, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**50*(t*t**(4\/5))\/(t\/(t\/(((t**4*t)\/t)\/t))))\/(t\/t**(-2\/5)*t**1*t**3\/(t*t*t\/t**4*t)) assuming t is positive.\nAnswer: t**(-599\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64504 by -11.\nAnswer: -5864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -20. Suppose x = b + 3, -f*x + 25 = -x. What is the second derivative of b*i + i**3 + i + 0*i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 220 (c) 1\/111 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-10 + -5 - (32 - 44)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 0.655146 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156647399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -95d83 (base 15) to base 9\nAnswer: -804286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1944 = -0*n + 6*n. Is 54 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -5, 1, -8 in descending order.\nAnswer: 6, 4, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -340*r**4 - 888 - 4*r + 182 + 4*r wrt r?\nAnswer: -1360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116980*i - 116984*i + 233965*i + 2*i**2 - 487 in the form f*i**2 + m + h*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 49*g - 4. Let p(y) = 50*y - 5. Calculate -4*a(n) + 3*p(n).\nAnswer: -46*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2313917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, 1 w, and 1 z when four letters picked without replacement from {z: 5, p: 1, c: 5, w: 4}?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1367658 and 37\/151962.\nAnswer: 1367658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - h = 16 + 30, 3*h = -2*q - 28. Let l = q + 15. Suppose 15 = l*r - 3*r. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 53?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144117 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16)*-1*(-2)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-1 + sqrt(52))*3 + 4*(-2*sqrt(13) + -2))*-4)**2.\nAnswer: 784*sqrt(13) + 3233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50194196 and 169?\nAnswer: 652524548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 2) - (-37 + 39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 1081, 2445, 4513, 7405, 11241?\nAnswer: 16141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-272)\/20 - 2\/5). Let x be (-58)\/y - 15\/(-90). Let f = -5 + 7. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:49 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 6*q - 1. Let o be n(-7). Let k be (-6)\/3*207\/o. Let f = k - -691\/10. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/78 and 5\/54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -169967*n + 509939. Calculate g(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2503455.\nAnswer: 3, 5, 47, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-336)\/360)\/(12\/(-10)). Suppose 0 = 23*v + 8*v - 62. Is h >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3094, -5739, -14572, -23405, -32238, -41071?\nAnswer: -49904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8110.\nAnswer: 2, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -4640?\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76870663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 6905\/2144?\nAnswer: 6905\/2144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 3, 11584, -3\/7, 3\/4, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -6*m + 7*m - 17, 0 = -2*a + 3*m + 17. Solve -5 = -5*t - z + 5*z, 35 = -5*t - a*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 155, -10, -0.35, 2, 2\/3?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**2 - 3*u + 15. Let w(d) = -4*d**2 - d + 5. Let y(n) = 3*i(n) - 8*w(n). Let h = 33 - 31. Suppose -h*o - 2 = -2. Determine y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/733854 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20912 and 1961776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 0 + (-15)\/26. What is the nearest to -1 in 4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(13) + -1)**2 - sqrt(13)).\nAnswer: -sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*((-15)\/(-6) + -3). Suppose b + t*s = 2*b + 73, 0 = 4*b - 5*s + 292. Let z = -28 - b. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3, -2*z + 63 + 11 = 2*k. Let j be 400\/35 + 6\/(-14). Solve -q + 5*q + 4*u = -z, q - 4*u = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 430 + -9. Let j = g - 423.152. Let x = -2.1 - j. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:49 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -39*t**2\/2 - t + 209. Determine c(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8481 by -3.\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooqoqqo. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 5*j + 10. Let a(r) = 4*r**2 - 327 - 4*r**2 + 321 - r**2 - 3*r. Let v(h) = -5*a(h) - 3*d(h). Let g(y) = 54*y + 2. Give g(v(w)).\nAnswer: -54*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21842*c + 109218. Calculate l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171) + -2)*-4 + 3)**2.\nAnswer: -168*sqrt(19) + 2785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -w + 3, -2 - 2 = -2*w. Let k be 0 + (1 - -1)\/12. Is s != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*n - 58, 41 = 5*x - 5*n - 44. Let t be ((-6)\/4*6)\/(x\/(-488)). Suppose -4*u + 380 = -2*o, 3*o = -4*u - 2*o + t. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:28 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402025635 by -134008545.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -565.912 and -1.765518.\nAnswer: -567.677518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -2)*(-10)\/(-4). Let y = 42 + o. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4392 divided by 708\nAnswer: -366\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9399 + 9398. Let p = -0.36 - 0.04. Which is the closest to -16? (a) p (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.545 rounded to 1 decimal place?\nAnswer: 423.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 78*r**2 + 2*r - 26. Let v be b(4). Let o = -835 + v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 8 + -4)*2. Which is the closest to -0.09? (a) -1 (b) -0.4 (c) -4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g - 50. Let n = 55 - 55. Suppose 0 = -2*w - 4, -d - 3*w + w + 7 = n. Let k be u(d). Solve -5*a + c = -a - 10, 0 = -4*a - 2*c + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyrr when four letters picked without replacement from {r: 11, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 11 = 3*b - 4*z, -36 = -4*b + 4*z. Solve -2*u + b*q - 4 = 0, -3*u + 8*u + 2*q + 22 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:14 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.818 - -3.618. Which is the nearest to u? (a) -3\/2 (b) -0.6 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110110010101000 - 1000100?\nAnswer: -1100110110011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*m - 29*m - 10*m)*(-4 + 2 + 3).\nAnswer: -67*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 27. Suppose w*q - 71 = 6*q + 3*a, 22 = -q - 5*a. Let y(j) = -j**2 - 16*j + 17. Let u be y(q). Solve -c + 14 = -5*t, -2*t + 2*c - 12 = -u*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/40*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 divided by 3?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let r be c + -2 + 1\/((-3)\/(-15)). Solve 5*s = 4*s + r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 77 = 59. Let u(t) = -t**3 - 5*t**2 - 7*t - 10. Let j be u(-4). Find the third derivative of -565 - 3*b**6 + 565 + r*b**j wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63565.2 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:16 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.465 and -9.8?\nAnswer: 122.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) 5 (b) -2 (c) 3\/31 (d) -4 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 256, 255, 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (11 - (-17 + 7 + 9)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196437 divided by -3?\nAnswer: -65479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6948728902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 18.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 19*k**2 + 4*k - 46. Let p be a(19). Suppose 14*w + w - p = 0. Solve -4*b + w*y = -2, -3*b + 8*b - 3*y - 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458792 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -99\/4. Let p(y) = 4*y**2 + 103*y + 72. Let s = -73 - -48. Let f be p(s). Which is the second biggest value? (a) -1\/8 (b) i (c) f (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2 - 78*l + 19 wrt l?\nAnswer: 2*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1394563877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 7\/2*x**4 - 34*x**3 + 33 - 40*x + 84*x**2. Factor n(p).\nAnswer: 2*(p - 5)*(p - 2)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.738 times 0.3\nAnswer: -1.1214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22869 + 37437 = 46*v. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8182.187 milliseconds in nanoseconds?\nAnswer: 8182187000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133046 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 5*a - 37, 0 = a + 4. Suppose 3*l + 80 = 8*l - 2*k, l = k + x. What is the remainder when -117*((-276)\/(-36) - 8) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/(9\/(-27)). Calculate the remainder when (25 - 26) + 19*f is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 j, and 1 w when four letters picked without replacement from {o: 5, w: 2, j: 7}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16914 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366929 and 29563.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296.7 - -291.7. Let j = -5.7 - -6. Which is the smallest value? (a) y (b) j (c) -2\/11 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -830, -3403, -7702, -13721, -21454, -30895, -42038, -54877?\nAnswer: -69406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l = 0. Suppose l = -3*f + 6*f - 51. Let s = 953553 + -953332. What is the highest common factor of f and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/15*(-10)\/(-5)*(-135)\/(-54)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15072?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2\/9, -2, 33, 1, 14, -0.5 in increasing order.\nAnswer: -28, -2, -0.5, 2\/9, 1, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 1\/8, 0.4, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*h - 7618 - 39111 - 169487. Which is smaller: 2456 or h?\nAnswer: 2456","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + b)*(-b**3 - b + b + 0 + 2*b**3 + 0 + (3*b**3 - 2*b**3 - 2*b**3)*(3 - 3 - 2) + b - b + b**3 - 4*b**3 - 2*b**3 + 5*b**3).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 383963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 932.513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8766810 by -4953.\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**8\/1176 - 2*z**7\/735 + z**5\/105 - z**4\/84 + 7*z**2. Factor w(f).\nAnswer: 2*f*(f - 1)**3*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167906568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and (-10)\/35 + (0 - 926\/140).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2520.2 - -391. Round q to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4065515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117304 and 4433.\nAnswer: 1524952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p + 8. Let u(r) = -280*r - 490. Let c(z) = 35*z + 61. Let m(y) = 25*c(y) + 3*u(y). Let o(b) = -20*d(b) + 3*m(b). Determine o(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4, 0*p = -4*p + 5*x + 106. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 19 - 7) + -2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29144, -2, -4\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 6630.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.4 (b) -6 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxx when three letters picked without replacement from uuuuuuuuuuuux.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6337 - 10281. Let r = 86747\/22 + y. What is the common denominator of r and 13\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-3 + 6)*-5. Let i = d - -2. Which is smaller: i or -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.38 + -12.98. Let l = -12.97 - 0.03. Let i = l - n. Put 3, -1, i in decreasing order.\nAnswer: 3, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 42*q**2 + 23719*q - 53880. Calculate j(-567).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (2*sqrt(512))**2 + (1*sqrt(512))**2*-3) + (4*(sqrt(512) - sqrt(512)*-1) + sqrt(512) - (1*sqrt(512)*5 + sqrt(512))**2) + -3.\nAnswer: -17927 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251*v**2 - 23*v - 4 wrt v?\nAnswer: 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-143)\/(-13))\/(-121)*15\/1.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6.1. Let k = m - 1.9. Let a = k + 7. Sort -2, 2, a in increasing order.\nAnswer: -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 15*m**2 + 2*m - 34. Let b be w(15). What is the nearest to -3 in -9.2, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 - -3 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11737, -11735, -11731, -11725?\nAnswer: -11717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 16. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20751, -41488, -62225, -82962?\nAnswer: -103699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2653 + 591621\/223. Is z smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279*j**6 - 366*j**2 - j.\nAnswer: -33480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*l - 30. Suppose -a + 18 = -3*a - m, l = -3*a + 3*m. List the prime factors of 10*1\/((-10)\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**7\/72 - 17*h**6\/72 - 7*h**5\/36 + 21*h**3\/2 + h + 25. Let a(t) be the second derivative of w(t). Factor a(c).\nAnswer: -5*c*(c + 7)*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 + 0*w + 3*w**2 - 6*w**2 - 2*w + 17*w in the form d + q*w**2 + y*w and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 2*c. Let d(y) = y**3 - 8*y**2 - 59*y + 393. Let k be d(10). Solve -t + 2*t + k = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102.14*3\nAnswer: -3306.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Let p(a) = a**3 - 5*a**2 + 7*a - 6. Let k be p(y). Suppose x - k = -x. Solve x*o - 3 = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 102. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 60186*p**3 + 5*p**2 + p + 2. Let u be r(-6). Round u to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915334?\nAnswer: 2, 29, 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*(65 + 0). Suppose -2*x - 2 = -j + 11, -2*x = 2*j - i. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010112 (base 3) to base 12.\nAnswer: -11172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110229406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*c**3 + 92*c**2 - 30*c - 65*c**2 - 141*c**3.\nAnswer: 3*c*(c - 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-600*c + 50*c - 697*c)*(2*c + c - 5*c)*(-c**2 + 0*c**2 - 5*c**2).\nAnswer: -14964*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5118919us to hours.\nAnswer: 0.00000000069774775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 50. Suppose 10*z - 5*z = 400. What is the highest common divisor of j and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 34. Suppose 79*r - 75*r - x = 0. Let i(a) = 22*a**2. What are the prime factors of i(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q + 1. Let g(i) = -3*i**2 + 3*i + 6. Suppose 4*m - 2*v + 5 = -15, -3*m - 3*v = 24. Let j be 1*m\/(-3) + -3. What is j*g(o) + 5*d(o)?\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 3, 8, 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1726 (base 16) to base 12\nAnswer: 351a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -42. Suppose 4*p = r*f - 336, 0*f - p = -4*f + 327. Find the first derivative of -31*d**3 - f + 88 + 11*d**3 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8442358 centuries to decades.\nAnswer: 8.442358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0 + 5*i + 1 - 10 - 2. What is the units digit of b(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.45 + -2.55. What is the second biggest value in -3\/7, u, -0.21, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/97)\/13*((-3)\/6)\/((-21)\/(-42))?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))**(1\/29))**19\/((v*v**(-2)*v)\/v**(1\/2))**41 assuming v is positive.\nAnswer: v**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 4. Let s be ((-10)\/(-15))\/(b\/6). List the prime factors of (2\/(-2))\/(s\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5359743.18 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g = -70*g. Solve 5*f + 11 = 2*t - 5*t, f - 3*t + 13 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 25 = -5*o. Let t(s) = s**2 + 1. Let v be t(1). Solve -2*m + 3*x + x = -8, o*x + 6 = v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*b**2*g**3 + 1758*b**2 + 100*g**3 + g**2 + g - 154 wrt b?\nAnswer: -34*b*g**3 + 3516*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 89*p - 6*p**2 + 2*p**2 - 22 - 15 - 144*p. Let y be v(-13). Solve 2*g - y*j - j - 6 = 0, 4*g + 2*j + 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 4*p**2 - p**2 + (2*p - p + 5*p)*(-3 + 3 - p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5652291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100011626 (base 7) to base 12\nAnswer: 1b21a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**3 - 2*g**2 + 6*g - 5. Let d = -1328 + 1329. Let k be t(d). Let r be (0 - -2)\/(4\/(-6)). Sort -4, r, k in ascending order.\nAnswer: k, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = 104*i + 2877 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f - 11. Suppose 7*r + 11 = -38. Calculate the remainder when a(r) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = -6*j. Let m = j + 3. Let i(l) = -l**2 + 7*l - 4. Calculate i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2753 - 433. Is u\/2 + 22 + -19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 30*m + 2*r - 16 = 20*m, 7*r - 56 = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1395 - 7*m + 5*m - 279 - 48*m**2 + 252 + 45*m**2 to r + w*m + n*m**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i - 4. Let a(p) = -7*p - 2. Let c be (6 - (-6 + 6)) + -6. Let h be (18\/(-36))\/(1\/(-26) + c). Calculate h*a(q) - 6*o(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 55*o**2 + 196. Let d(z) = 6*z**2 + 1. Let s(x) = 6*d(x) + 2*q(x). Differentiate s(y) with respect to y.\nAnswer: 292*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223065965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 11 + 6)*(-11*o + 1 + 94*o - 154*o).\nAnswer: 710*o - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1088)*-2 - (sqrt(1088) - (sqrt(1088) - (4 + (sqrt(1088) - (sqrt(1088) + 3*sqrt(1088)))**2))).\nAnswer: -9796 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 6) in base 7?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 30*d**4 - 80*d**3 = 0. Calculate d.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277176163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/9 - 1010*s**3\/9 - 255025*s**2\/9 = 0 for s.\nAnswer: -505, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13992 + -251747\/18. Find the common denominator of c and (19 - 7062\/374) + (-2598)\/408.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = -3*g + 948. Let f = g - 415. Is f\/2 - (-45)\/30 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -14, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -55. What is the third derivative of 10*k**2 + 549*k**3 - 534*k**3 + x*k**2 wrt k?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a factor of 94984710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(425)) - sqrt(425))**2*2.\nAnswer: -160*sqrt(17) + 3432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61336370401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3608200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 7}. Give prob of sequence www.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 6344?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275403367*b + 275403367*b + 19155*b**2 to the form l*b + d + y*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (19 + 3 + -23 - (-2 - 0))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 15*j + 37. Let h be q(17). Let v(k) = 43*k**3 - k**2 - 1. Let i be v(2). Suppose i = h*l - 63. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416611229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(-36) + (-4)\/(-16) - -8. Let h(q) = q**3 - 8*q**2 + 5*q + 10. Give h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*p + 0*p + 2*p + (2 - 2 - 2*p)*(0 - 4 + 2) - 4*p + p + 5*p.\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 484600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 56 - 44 + 12 + 10 to the form i*x + r and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = -2*r, 4*r - 2*r - 4*k + 18 = 0. Suppose 3*t - 2*t = 7. Suppose 2*n - 15 = t*n. Is r less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*-3)\/(10580\/13225)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 8*z = -63. Let c = z - 49. Suppose 6*a - c - 10 = 0. Solve o + a*o = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 12:09 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((sqrt(200) - sqrt(8))*-5) + -3 + 3*sqrt(2)*6.\nAnswer: -3 + 359*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*x - m, -14 - 4 = -4*x + 2*m. Suppose x*j - 3*b + 8*b - 60 = 0, j = 5*b + 6. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320)*5*-4 + 5 - (0 + (sqrt(320) + -3 - sqrt(320)) + 5 + -1))**2.\nAnswer: 2560*sqrt(5) + 512016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000557683 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 721, 1442, 2163, 2884?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 67, 101, 137, 175, 215, 257?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(8 - (-12 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*f + 55, q - 161*f = -165*f - 2 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*m**2*x + 3*b**3*m*x**2 - 16*b**3*m + 2*b*m**2 + 121*m**2*x**2 wrt x?\nAnswer: 6*b**3*m + 242*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -31. Which is the smallest value? (a) m (b) 3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 758\/5. Let y(s) = s**2 + 7*s + 9. Let f be y(-4). Which is the nearest to -3\/5? (a) 5 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcbq when four letters picked without replacement from cqcqbcbbcbrcrabb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267*d**2*k**3 - 257*d**2 - 2*k**3 with respect to k.\nAnswer: 801*d**2*k**2 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 16112b1?\nAnswer: 16112b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1611 + 2686. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2431495ms in hours?\nAnswer: 0.00000228976375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 489 (b) -1\/13 (c) -151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4262 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 75*b - 491. Let z be s(-25). Calculate the highest common divisor of z and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a + a - 38 = 2*w + 2*w - 6*a, -5*a - 80 = -6*w + w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10468643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6580 - -6671. Calculate the least common multiple of k and 1170.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20434, -20020, -19332, -18370, -17134, -15624?\nAnswer: -13840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*c - 8, -2*n + 0*c - 1 = c. Let g be (-5)\/(-45) + (-328)\/36. Let s be (n\/(-2))\/(-8 - g). Solve -4*p - 3 = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -20\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*h**2 - 5070*h**3 + 348*h**2 + 5017*h**3 - 175*h**2.\nAnswer: -53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -6.32554\nAnswer: 25.30216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 + 17*d + 11. Let z be u(-2). What is the third biggest value in z, 104, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -7*h**6\/30 + 3*h**5\/5 - h**4\/3 + 12*h**2. Solve l(d) = 0 for d.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*d = 616, 5*d - 9*d = 5*p - 584. Calculate the remainder when 159 is divided by (-474)\/(-9) - (-32)\/p*5.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4354 - -43639\/10. Let t = -37092 + 95289347\/2569. Let o = 82197\/28259 - t. Calculate the common denominator of q and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -463*b**3 + 3 + b - 3*b + 469*b**3 as z + m*b + a*b**3 + r*b**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 27*n + 4. Let f be j(27). Solve f*i + 20 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -15. Suppose -2*b = x*b - 4. Let h be -3 - 0\/(b - 3). Let p(w) = w**2 + 3*w - 4. Calculate p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27\/10291 (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/16 at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18532*x - 18625*x = -930 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 10*u**2 + 15*u + 12. Let w(j) = -3*j**2 + 22*j - 16. Let l be w(6). Give g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -1\/3 (c) 42 (d) 0.2 (e) 16.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210043 - 210043 - 557*c.\nAnswer: -557*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/4 + x**3\/3 - 120*x. Let q(m) = m**3 - 10*m**2 + 7*m. What is -4*q(d) + 14*y(d)?\nAnswer: -4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13478 and 67097?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -3807, -8570, -15239, -23814, -34295, -46682?\nAnswer: -60975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -1*sqrt(119))*5)\/(sqrt(56)\/(sqrt(48)\/sqrt(6)))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -3*j**2 - 28*j + 1\/6*j**3 + 1\/12*j**4 + 0. Factor b(q).\nAnswer: (q - 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from vvyfvfvvyvvyvfvyay.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.23 plus -0.19?\nAnswer: -7.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -5\/12*s**4 + 0*s**2 + 0 + 0*s**3 - s. Let o(r) = -r**2. Determine o(c(z)).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 1. Suppose -2*a = -4*a + 8, -14 = -5*o + 4*a. Solve -o = q*t - 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105714 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -733*j + 2112. Give c(6).\nAnswer: -2286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097341741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699 - 1783 = -4*z + 3*z - 73*m, 0*z = 2*z - 2*m - 20 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -j. Let y(m) = -20*m - m + 12*m + 8 + 8*m. Let c be y(j). Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 4. Let t be p(-7). Let v be (-15)\/t*10\/8. Let r = -2 - -1.9. Put r, v, 2\/13 in increasing order.\nAnswer: v, r, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-17 - (-13 - 1))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-4\/7)\/s)\/s)*s)**(-3) assuming s is positive.\nAnswer: s**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 13904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - -2*sqrt(1215) - sqrt(15))*-5)\/(-5*(sqrt(243) - sqrt(243)*2)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13213431 (base 5) to base 3\nAnswer: -20201120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/20 - n**4\/2 + n**3\/6 + 3*n**2\/2 + 28*n. Determine r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.689 + 3.8533. What is b rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4092, 2, 13 in ascending order.\nAnswer: 2, 13, 4092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 14. Let k = -4 + 8. Suppose -k*c + 42 = 10. What is the remainder when 10 is divided by n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7)*h)**(-19\/2))**22 assuming h is positive.\nAnswer: h**(-3344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 11. Let l(h) = -2*h + 6. Let x(j) = -11*l(j) + 6*y(j). What is the tens digit of x(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3018)\/(-14)*462\/99 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4 - (-35)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*v**3 - 43*v**3 + v**3.\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from oboobbooooboooobooo.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13849.\nAnswer: 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/432 + ((-8)\/(-18))\/(-2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -6)\/((-2)\/4). Suppose -p - 3*n = -0*n - 9, 86 = c*p + 2*n. What is the units digit of 111*(p\/(-9) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1817.8361 + -0.1639. Let p = a + 1836.58. What is p rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027*x - 2131*x + 1113*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 7. Let i be a\/(-8) - 1\/4. Solve 0 = 3*p - i*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*n + 33889061249 + 5976148751 = 195*n. Round n to the nearest 1000000.\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 11*b**2 + b + 1. Let k(m) = -3*m**3 + 32*m**2 - 3*m - 2. Let t(n) = -17*i(n) - 6*k(n). Let v be t(5). Solve v*o = -5*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p = -1. Let r be 13\/(-3) + (-1)\/(-3). What is the common denominator of -149\/18 and (-51)\/r + 1\/p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.5198, -9, -0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o + 1. Suppose d - 4 = -1. What is the least common multiple of b(d) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 445260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548792605 to the nearest integer?\nAnswer: 23426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 5, -55\/6, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2 + 352 - 7*s**2 + 9*s**2 - 168*s - 3*s**2 = 0.\nAnswer: -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Let h = 1.3 + -0.3. Let r be 0 + 2 + (-68)\/28. Which is the closest to l? (a) r (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415352475 to the power of 1\/2, to the nearest integer?\nAnswer: 20380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33.91935 days?\nAnswer: 2930631.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -362.5 - -363. What is the biggest value in -6\/13, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 14*l - 99. Let h be r(20). Let s = -0.03 + -0.37. Which is the closest to -3? (a) -4 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/7 - 68*q\/7 - 304\/7 = 0 for q.\nAnswer: -4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.8525428207 and -0.11.\nAnswer: -7.9625428207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 197411?\nAnswer: -197409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 != 1778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p - 0*p. Let a be (2 - 12\/p) + -4. Solve -3*h = a*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(6292) + 4 + sqrt(6292) + 1)**2.\nAnswer: -176*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 25*p**2 - 214*p - 2584. Calculate n(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2619110 (base 12) to base 15.\nAnswer: 9d2989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 8*o - 2. Let r(p) = -3*p - 2. Let z(c) = -c - 1. What is o*z(b) + r(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 21*p - 10. Let n be l(-10). Suppose 9*m - 12 = -2*a + 4*m, n = -2*m. Let z(q) = q + 2. What is the lowest common multiple of a and z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10775532*n*r**5 + 13*n*r**2 + 37*n*r + 16*r**5 - 3308*r + 1 wrt r?\nAnswer: 646531920*n*r**2 + 960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(153) + (sqrt(153) - sqrt(153)*-3)))\/(((sqrt(81)*-2)\/sqrt(9) - sqrt(9)) + sqrt(9)) + -1)**2.\nAnswer: 25*sqrt(17) + 10629\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4535284*s**3 + 264198*s**3 - 3014962*s**3.\nAnswer: -7286048*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:05 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9 - 63. Suppose 4*s + m = 257, -3*s + 207 - f = 4*m. Let p = s + -6. What is the remainder when p is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4\/11, 2\/5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410 (base 13) in base 4?\nAnswer: -231012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*(o*o**(19\/5)\/o*o*o*o*o*o)\/o)\/o)\/o**27)**16)**4 assuming o is positive.\nAnswer: o**(-5824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422039 is divided by 418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77154, -307556, -691208, -1228110, -1918262?\n\"Answer: -76625*x**2 - 527*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198623 at most as big as 198623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13014959*z**2 - 10151689 wrt z.\nAnswer: -26029918*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-16 + (7 - -15) + (2 - 9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15417620 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227312 divided by -4.\nAnswer: -56828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*p + p + 207, 2*p + 1081 = 5*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/5 + 179\/30. Which is the closest to 0? (a) r (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**8\/36960 - q**7\/4620 + q**5\/165 - q**4\/4 - 2*q. Let m(t) be the third derivative of a(t). Factor m(b).\nAnswer: -2*(b - 1)*(b + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 2*d + 19*d to the form z + l*d and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) - (-1)\/(5\/(-8)). Let z be 24\/((m + (-33)\/(-18))*-9). Let l = 23 - z. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 169*g**2 + 87*g**3 - 146*g**3 + 169*g**2 + 73*g**3 + 104.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4256)\/(-608) + 1 + 19772. Calculate the greatest common factor of 46 and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138035442 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 11:37 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -52\/14871?\nAnswer: -52\/14871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 602657603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 0*x**3 + 0*x**3 + 4*x**3 + 3*x**3 - 4*x**3 + (6*x**2 - x**2 - 3*x**2)*(3*x - 6*x + x) to the form m + o*x + z*x**3 + l*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13888.4267 + 326.\nAnswer: 14214.4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:13 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:28 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**22*q*q*q*q*q**(2\/9)*q*q*(q**(9\/5))**(-11))**(11\/5) assuming q is positive.\nAnswer: q**(4664\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.080496 - 4952582\nAnswer: -4952581.919504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 - 122. What are the prime factors of f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 24. Let y be s(-7). Calculate the greatest common divisor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 + 0*d**3 - 6*d**3 + (-7 + 1 - 7)*(2*d**3 - 5*d**3 - 21*d**3))*(6*d - 3*d - 4*d).\nAnswer: -310*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -443201 (base 5) in base 15?\nAnswer: -4886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1590 is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 14828136*f + 27484202154312 = 0. What is f?\nAnswer: 3707034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*x = 15, -5*x - 3 = c - 6. Let -b**2 - 2*b**2 + 3*b**4 + 4*b**2 + b**5 - c*b**3 + 6*b**3 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -39.5. What is the closest to 3 in 1, 3\/8, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*f - 39 = 0, -4*l - l + 2*f = -60. Let d be (4\/l)\/((-3)\/(-42)). Solve -d*x + 6 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(36\/2304*-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1082*p**2*v*z + 4056*p**2*z + 4*v*z - 4*z wrt v.\nAnswer: 1082*p**2*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + i**2 - 4*i - 4. Calculate z(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3*v**3 - 4\/3*v**2 + 0*v + 0 + 4*v**4 = 0. What is v?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 15. Let l(n) = 41*n**2. Calculate l(g(f)).\nAnswer: 369*f**4 + 3690*f**2 + 9225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - n**2 + 90. Let o be m(0). Suppose o = -4*x + 266. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:13 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 1350250*i.\nAnswer: -5*i*(i + 270050)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3154672212 to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 + a**5 - 2766*a**3 - 20*a**2 + 9*a + 6?\nAnswer: 120*a**3 + 60*a**2 - 16596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3016 by -104.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + l = -8 + 2, -5*l = -15. Let a(x) = x**3 + 4*x**2 + 4*x + 3. Let t be a(r). Suppose t*y + 3*y - 117 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) + 1436\/840. Let j = 9\/14 - c. What is the biggest value in 5, -2, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*q**5 + 45367*q**2 + 18352*q - 1185 wrt q.\nAnswer: 2900*q**3 + 90734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -21. Let u be ((-2)\/4*0)\/1. Is u equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:31 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2806337756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 0)*-1 - (-4*(-1 + sqrt(175)))**2)*2.\nAnswer: -5632 + 310*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -7 - (-5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 52*m - 90 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 18) + 5 + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(171) - 2*sqrt(171))**2*2 - (3*(sqrt(171) - (sqrt(171) + -1 + sqrt(171))))**2)*2.\nAnswer: -7236 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.191003 years to months.\nAnswer: 86.292036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 206 = -36*c + 209 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2101.055 + -2099. Let t = 20 - 20.055. Let x = t + w. Put 0.3, x, 0.1 in ascending order.\nAnswer: 0.1, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkxxxxxxtxjkojjjt. Give prob of sequence klxo.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 13. Let n be h(6). Let o(v) = 6*v**2 + 4*v - 2. Let m(w) = w**2 - w - w**2 - w**2. Determine n*m(q) + o(q).\nAnswer: q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3\/(5 - 2))*22. Calculate the least common multiple of (-7)\/(-42)*m - 2\/3 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 40*r + 0*r**5 - 122*r + (15*r**2 + 5*r**4 - 15*r**2)*(5*r + 0*r - 3*r + (-3 + 3 - 2)*(-4 + 4 + 2*r)).\nAnswer: -8*r**5 - 82*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 140, 130, 108, 68, 4, -90, -220?\n\"Answer: -l**3 - 3*l + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 12) to base 2\nAnswer: -100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/(-72) - (-2 - (-7)\/2). Sort y, 4, -5, -20.\nAnswer: -20, -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40851\/119*(0 + 1). Let z = r - 343. Let u = 5.6 - 0.6. Which is the nearest to u? (a) z (b) -0.06 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 360. Let k be i(0). What is the greatest common divisor of 936 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 7. Let s(c) = -2*c - 1. Let v be s(-3). Let j be (-1)\/(-1*3\/123). Let r(q) = j*q - 20*q - 19*q + 4. What is v*r(z) - 3*d(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55274 and 3654.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-120)\/36). Sort 0, 5, -4, k.\nAnswer: -4, k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.41 + 0.04957471\nAnswer: -43.36042529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*j + 425*j - 2716*j + 414*j - 1913*j.\nAnswer: -4277*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*q + 184*q = 9480 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1459*t + 151403. What is x(-104)?\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20546, -40943, -61340, -81737, -102134, -122531?\nAnswer: -142928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 274567103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = b + 3*u, 3*b - u = 4*u + 92. Suppose d + 0 = -b. Let a = -23 - d. Sort -1\/7, a, 0.4.\nAnswer: -1\/7, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/12)\/((-2350)\/(-16920)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 778, 6, 5 in ascending order.\nAnswer: -15, 4, 5, 6, 778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -2\/5, 5, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -x - 10, 96*x - 105 = 5*g + 70*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:31 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1990.31053 - 0.164.\nAnswer: -1990.47453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1299.51742 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*g + 211 + 323 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/((-27)\/135). Is ((-11430)\/27)\/(3\/(-18)*p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/16*(3206\/42)\/(-229).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1413615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3948\/(-2538))\/(1\/(-63))*(-1)\/2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = -n + 21, -5*n - 4*u = -99. Let j = 29 - n. Let r = j - 2. Solve -y + b + r = y, -3*b = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*k = -50, 66*v + 158*k + 55 = 62*v + 153*k for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -720.5942 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7 and 97\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3444 is divided by 212.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33542 + 33544. Factor -9\/2 - 21\/4*c - 3\/4*c**j.\nAnswer: -3*(c + 1)*(c + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - 7 - 5 + 0 + 14*f**2 wrt f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511546, 512521, 513472, 514387, 515254, 516061?\nAnswer: 516796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3 - -2) + 1 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than -67.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.69646? (a) 2\/3 (b) -3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129126 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69073 + 23043 + 5*l + 23035 + 22986.\nAnswer: 5*l - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 258.992?\nAnswer: 259.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26608 or -505578\/19?\nAnswer: -26608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-202) + 0 - (-519)\/707\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12.7 times 55.8192\nAnswer: 708.90384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from bbbbsbsxbxb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*1\/6*588\/(-490).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u + 104. Let a = 31 + -11. What is the remainder when a is divided by q(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/9 - 2917*l\/9 - 61940 = 0. What is l?\nAnswer: -180, 3097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245268530, 245268528, 245268526?\nAnswer: 245268524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 8. Let w = 7 - l. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 2*b - 2. Let s be r(-2). Suppose -y - 12 = 3*p, 3 = -s*p - 3. What is the remainder when 1 is divided by 3 + 6\/(y + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 2698?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(200) - 2*sqrt(200)))\/(sqrt(10) + sqrt(90) + (sqrt(90) - sqrt(90)*-1)) + (sqrt(720) + 2 + sqrt(720) + sqrt(1280)*-1)**2)*1.\nAnswer: 156*sqrt(5)\/5 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5080406 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from isifrifffrffsri?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1924 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 4313143235?\nAnswer: 4313143211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -2494, 18, 0, -18 in ascending order.\nAnswer: -2494, -18, 0, 1, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11544*y**3 + y**2 + 560490.\nAnswer: 34632*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*8\/30 + 24\/(-40).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -3.1. Let v = k - -1.5. Is v smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10694*m + 903189 = 11335*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bodo. What is prob of sequence odo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 8338?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3895 + -171a?\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*d**2 - 1300654*d - 37334763 wrt d?\nAnswer: -58*d - 1300654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + 186?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*g = -7*g - 33, 0 = -46*k - 5*g - 542 + 200 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-99)*(-5 - (-63)\/12)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:20 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 8*n - 8. Suppose 4*f + 2 = -2*j, -2*j - 6 + 3 = 5*f. Let s(p) = -p**2 + p + 1. Give j*b(m) + 6*s(m).\nAnswer: -3*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 18*a + 15. Let s(q) = 8*q + 2*q**2 + 14*q + 22 - 8*q - q. Is s(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 + 142*w\/7 - 584\/7.\nAnswer: (w - 4)*(w + 146)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 696. Suppose t = -5*t + q. Let x = 45 - t. What is the highest common divisor of x and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/(-5 - (-36)\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*(-718)\/(-1795). Let f be ((-22)\/(-18))\/1 - 1. What is the closest to 0.3 in 5, 3, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:08 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in 0.2, 2\/11, -1.5, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a331 + a45?\nAnswer: -98ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169\/4 - -3219\/76. Let z = -1.3 - -1. What is the third biggest value in 2\/3, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxy when three letters picked without replacement from bxy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168312 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8396 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4\/3 (b) -1 (c) -4\/9 (d) 0 (e) 0.62 (f) 512\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*w**3 - 207?\nAnswer: -315*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -43*r - 43*r - 65 + 26*r - 2*r + 17 - r**2. What is the units digit of b(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-2) + 27\/(-9). Let x(a) = 17*a - 5. Let u(g) = -8*g + 2. Calculate b*u(q) + 2*x(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -336\/17 + -6051\/68. Let r = w - -1309\/12. Is -32 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22236 at least as big as -22234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -7\/120*o**6 + 0 + 0*o**4 + 0*o + 0*o**3 - 8*o**2 + 3\/20*o**5. What is the third derivative of r(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 8:11 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 29. Let d be b(-21). Suppose d*n - 68*n = 9. Determine r, given that 0 - 1\/2*r**n + 0*r**2 - 3\/2*r**4 + 2*r**5 + 0*r = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*s - 168 = 0, 3*a = -5*s - 32704 + 32837 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**7\/14 + 19*c**6\/10 + 15*c**5\/2 + 8*c**4 - 1004*c. Let x(k) = 0. What is k?\nAnswer: -16, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/30)\/(p\/(p\/(p*p\/p**(-8\/5))))*p**(-38\/3)\/p**39 assuming p is positive.\nAnswer: p**(-553\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -37.\nAnswer: -37, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2 - s**4)*(4 - 7 + 4).\nAnswer: -s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*z - 488 - 1080 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 10*p - 5. Calculate g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 17*s + 21 = 0. Suppose 0 = 4*p, 0 = 2*c - p - s + 1. Sort c, 11, 2 in descending order.\nAnswer: 11, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 45 = -o, -5*t = 4*o - 68 - 52. Calculate the remainder when 36 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfpf when four letters picked without replacement from frrp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**3 - 2*u + 8*u**2 - 10*u**3 + 5*u**3)*(-44 + 69 + 6)*(-3 + 2 + 0) to m*u**3 + p*u**2 + l + v*u and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - s - 26. Let g(q) = q**2 - q - 26. Calculate -5*f(j) + 6*g(j).\nAnswer: j**2 - j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1994418250 divided by -5\nAnswer: -398883650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p*p**(-2)*p))))\/p*p*p\/(p\/(p**(3\/31)\/p)))**(-19) assuming p is positive.\nAnswer: p**(-57\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 398312.7 tonnes?\nAnswer: 398312700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 62 + 10 = 0. Suppose m*r - 22*r = 0. Solve -o - 4 = r, -t + 1 = 2*t - 4*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56906 and 546786.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -94, -261, -588, -1129, -1938, -3069?\nAnswer: -4576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, -3.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 4 - (-1960)\/294*(-14)\/(-56)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h. Let n be z(2). Suppose 4*x + 3*u - n = 0, -x - u + 12 = 3*u. Let t = -1.3 + 1. Which is the nearest to t? (a) 1\/8 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 - k + 20. Let y be u(-5). Suppose 5*d + 2*c - 3780 = y, -11*c = 5*d - 7*c - 3790. Does 58 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 436*u**2\/11 + 26402*u\/11 + 44376.\nAnswer: 2*(u + 43)**2*(u + 132)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -23. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.34 + 0.16. Let w = 6 - v. Let y be 6\/15*(-5)\/7. Put w, 0, y in decreasing order.\nAnswer: 0, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5492307 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7560 = 95*g - 155*g. Solve 57*t - g - 45 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Suppose 3*u + 36 = 7*u. Suppose -51 + 15 = -4*h + 2*w, h = 2*w + u. Solve 1 = -m*j + h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - -2) - (-36 - (-46 - -9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 2*y)*(-26*y + 13*y - 14*y)*(0*y - 3*y + 2*y).\nAnswer: -54*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlat when four letters picked without replacement from {x: 1, t: 1, a: 2, z: 2, v: 1, l: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7941244*k**2. Let m(n) = -n**2. Determine m(o(i)).\nAnswer: -63063356267536*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -2?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**5 - 789*f**4 + 35835*f**3 - 33483*f**2 - 70110*f = 0.\nAnswer: -1, 0, 2, 57, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 + g + 1. Let p(c) = 4*c**3 - 2*c**2 - c - 2. What is 2*k(d) + p(d)?\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-87)\/58*(-32)\/6. Let f(p) = 19*p - 18. Is f(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*m + 5059, -5*w - m + 2*m = -8427. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-5 - -3)) + 22510\/(-50). Let o = i + 453. Which is greater: o or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4, 21, 329 in decreasing order.\nAnswer: 329, 21, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 19*l = -26*l - 68, -5*o = -5*l - 60 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 205671*i**2\/2 - 154251*i\/2 = 0. What is i?\nAnswer: 0, 3\/4, 51417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8092.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.313*1.31\nAnswer: -0.41003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -0.1, -2 in descending order.\nAnswer: -0.1, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63297276281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19601*w**2 + 11504*w - 488084501.\nAnswer: -39202*w + 11504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2181*t**3 + 18*t**2 + 40*t - 1383. Find the second derivative of u(s) wrt s.\nAnswer: -13086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/12 - (-20)\/80?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + 0 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 1. Let a be g(-3). Let b(u) = -4*u**2 + 20*u - 8. Let v(m) = -m**2 + 5*m - 2. Let t(s) = 2*b(s) - 9*v(s). Is t(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/201 and -59\/56619.\nAnswer: 3793473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/12 + (-2)\/(-8). Let v be (4 + 2\/z)\/1. Find the first derivative of 3 + 0 - 4 + v*x**2 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 5:51 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*z - 12, 1669*p + 13 = 3*z + 1673*p. Put 4, z, -52, 2, -2 in increasing order.\nAnswer: -52, -2, 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + (-10)\/8)\/(75\/300) + 2611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -10142.\nAnswer: 1014.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8432, 8256, 8080, 7904, 7728, 7552?\n\"Answer: -176*a + 8608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -0.005?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*w + 30, 5*k = -2*w + 14 + 9. Let s be -1 - -2 - (0 - w). Solve s = 6*r - 3*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -141535*z + 45. Let q be w(-13). Round q to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1706038471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:24 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 10, 5 in decreasing order.\nAnswer: 10, 5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*x + 275, 23*y + 3*x = 26*y - 135. Solve 52*h - y*h - 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1035 and 28\/1035.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 64 = 4*y - 12, -10 = -5*y. Let a = i + 32. Suppose a = t - 11. Calculate the remainder when 71 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 48 = 15*i + 33*i. Solve 21 = 5*r + 4*l - 7*l, 4 = -i*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let j = 1 + p. Let m be 1 - (j + -1 - 0). Solve -f = m + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6712.245 nanometers in kilometers?\nAnswer: 0.000000006712245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iil. What is prob of sequence ill?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -541, -810?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*n*u - 254*f*n - 2*f*u**2 - n*u + 218*u**2 with respect to f.\nAnswer: 2*n*u - 254*n - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -41. Solve -s - 2*s + 2 = -l*q, -5*q - 10 = -5*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10647.412 rounded to the nearest 10?\nAnswer: -10650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2391*s**2\/2 + 1204*s + 1198. What is the derivative of q(r) wrt r?\nAnswer: 2391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 41 + 47 - 16*o - 8 + 5*o - 12. What is c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 25*c**2 - 19*c**3 + 24*c**3 + 4 + 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w**5\/3 - 3542*w**4\/9 - 46786*w**3\/9 - 139636*w**2\/9 - 69632*w\/9 + 8960\/3 = 0 for w.\nAnswer: -6, -56\/15, -1, 1\/4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1121736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 = -8*b - 5559. Let v = b + 1638. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {o: 5, i: 2, s: 1, d: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 16, -4*h - 5*b - 104 = 0. Let n be (-2)\/(-7) + (-57)\/h. Let z be 1*(-2)\/n*3. Put z, -0.2, 2\/5 in descending order.\nAnswer: 2\/5, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*s**3 + 214*s**3 - 29*s - 74*s**3 + 13*s**4 - 31 + 62*s**3 wrt s.\nAnswer: 156*s**2 + 912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10753, -21445, -32133, -42817, -53497, -64173?\n\"Answer: 2*q**2 - 10698*q - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*a + 266 = -92*a. Calculate the greatest common factor of a and 4942.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 6*m + 7. Let g be v(8). Let j = g - -10. Does 17 divide 1*-1*(j - 21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**3 - 221*y**2 + 731*y - 104. What is t(4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaasdedsesdsususmua. What is prob of picking 1 d and 1 e?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v, -v = -4*j + 3*v + 120. Suppose 28*g = j*g + 10. Suppose -c = 4*c + k - 95, g*c - 110 = 2*k. Solve 0*u - c = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29.855 and 29.70297724.\nAnswer: -0.15202276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.4 - -33.89. Let j = r - 1.4. Let h = 0.59 - j. Which is the third smallest value? (a) h (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344290451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 202151669418?\nAnswer: 202151669404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 12*u**2 + 26*u - 38. What is t(9)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-224)\/35 + (-4)\/(-10). Let f = l - -8. Is 35 - (-2 + (3 - f)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 336502, 674366, 1012230?\n\"Answer: 337864*z - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 1. Let a(z) = 3*z**3 - z**2 - 16*z - 1. Let h(p) = -a(p) + 5*d(p). Determine h(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from pqttytqtqqtttty.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13648391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:20 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/3 + 9*v**2\/2 - 11*v - 14. Let d be z(5). Suppose 10*m = 7*m - d. Which is bigger: m or -12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/2))**(-38)*(j*(j\/j**(1\/4))\/j)**(-31) assuming j is positive.\nAnswer: j**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 9. Let a be k(-5). Let r = 31 - -14. Let z = r + a. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228748 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: 9.7*-4\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04998 and 5.\nAnswer: -0.2499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cebecbbzzbzczzzgzb. What is prob of sequence gz?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k + 134693. Let n be c(0). Suppose -2*p = 2*r - 88200, -4*p - n = -3*r - 2393. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.57 and 5.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - w + 43*w**2 - 39*w**2 in the form n*w**2 + o + x*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427 is divided by 1145.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 52. Let n = 0.0843 + 5.9157. Sort 2, a, n, -4 in increasing order.\nAnswer: -4, 2, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t - 3. Let z = 3 - t. Let h(d) = -d + 10. Let v be h(z). Solve 0 = -v*a + 3*a + 3*j - 7, j = -5*a + 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -495 + 1981\/4. Let s = 0.09 - 0.18. Let p = 4.91 - s. Which is the biggest value? (a) z (b) p (c) 0.3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a second in milliseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9000 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 1. Let k(j) = -22*j**3 + j**2. Let t be k(1). Let i = -11 - t. Calculate the least common multiple of i and h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -164*24\/16. Is 6 a factor of z\/(-5 - -2 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.2 and 12.\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 (base 11) in base 14?\nAnswer: da0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 10 in ascending order.\nAnswer: -5, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 6 - 3*i**3 + 20*i**2 - 20*i**2 - 11. Let o(a) = a**3 + 2*a + 2. Calculate 5*o(d) + 2*r(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j = 4. Suppose 6*b - 5*b = -4. Sort 7, b, -3, j.\nAnswer: b, -3, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, 9, 26?\n\"Answer: 17*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 6*x + 3. Let t be u(5). Calculate the common denominator of -5\/11 and 279\/(-132) - 2\/t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5.99999987. Round y to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 2*d**2 - d + 2. Let m be (2\/(-5))\/((-9)\/(-45)). Determine g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 12*r**2 + 15*r + 96. What is a(-12)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 240, 290, 360, 450, 560?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/131013 in 2, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4571, 3887, 2747, 1151, -901?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**4 - 3*x**3 + x**2 + 1. Let c(q) = -20*q**4 - 18*q**3 + 6*q**2 + 18*q + 6. Let j(l) = -c(l) + 6*p(l). What is the second derivative of j(a) wrt a?\nAnswer: 312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, 70, 473, 1314, 2737?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 + 21*y - 2 + y**3 - 19*y + 1. Calculate the remainder when c(-5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 807 divided by -269\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67553429?\nAnswer: 47, 53, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62988*r - 14 = 62974*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-46) + 1)*10\/15. Which is the closest to 1? (a) y (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*c = 2759 + 13326 - 2928 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -44. Suppose -5*t = -5, d + 48*t = 47*t + 100. Calculate the remainder when d is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let m be l\/10 - 9\/(-15). Which is the nearest to 0? (a) 4 (b) m (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z - 8*z**2)*(13*z**2 - 5*z**2 - 4*z**2) + 2*z**4 - 420 + 420 to the form i*z**3 + s + f*z**2 + q*z + u*z**4 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*q**2 + 317*q**2 - 130*q**2 + 347*q**2)*(q + q + 0*q).\nAnswer: 918*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617881317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - l - 1. Let d be t(-2). Suppose 101 = d*g + 1. Calculate the greatest common factor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*t)*(-3*t**2 + 4*t**2 - 3*t**2)*(t**2 + 0*t**2 - 4*t**2).\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.63984 - 1.0493. Let z = a - 0.5145367. Let d = -0.076 + z. Round d to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(4 - (-11)\/(-3)). Let i(c) = -c. Let p(f) = -1. Let b(a) = -4*i(a) - p(a). What is b(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 486988511\/774 - 629184. Calculate the common denominator of w and -15\/1118.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76*8\/128 - -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084152 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: Sort -4, 5, 9, 3 in decreasing order.\nAnswer: 9, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2992 and 391532.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Let v = 86 + -81. Suppose -4*g = 2*y - 28, v*g + 16 + 70 = 3*y. Let m(x) = 10*x + 12*x + y*x - 5*x. Calculate m(f(a)).\nAnswer: -78*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y. Let z(c) = 3*c. Give -3*d(t) + z(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 23256?\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2\/85, -2\/5?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f - 41. Let m(i) = -7*i - 51. What is -5*m(x) + 6*q(x)?\nAnswer: -13*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**3 + 93 - 90 - k**2 - 7*k + k**3 - 6*k**2 + 6*k**2 + (4*k - 2*k - k)*(1 - 1 + k**2).\nAnswer: 4*k**3 - k**2 - 7*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/10 - 13*g\/5 + 24\/5.\nAnswer: (g - 24)*(g - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q + 33. Let y be c(-5). Suppose k = -5*l + 32, 0*k + y*l + 151 = 4*k. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2032*k. Let s(m) = -570*m**2. Determine s(w(f)).\nAnswer: -2353543680*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73138 and 27898?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 278800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23118391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 134.\nAnswer: 3\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4514 - -16754. What is the highest common divisor of 52 and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 19*i**2 - 84*i - 23. Let l be m(-16). Which is bigger: 558 or l?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 12) in base 16?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10. Suppose 0 = -t*g - 2*g. Solve -4*n - 3 - 13 = g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*m - 3 - 1, 5*m + 6 = -4*r. Let o be -12*(1 + r)\/(-6). Solve 2*u = 3*s - 16, -8 = -o*s + 4*u + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-13))\/(30\/1040*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 86*j - 1856. Let s be c(-45). Let p(l) = l**2 + 9*l - 21. Calculate p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263 - 10*y**3 - 3*y**3 - 261 - 2*y to the form p*y**2 + g*y**3 + a + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -287*v**4 + 2664*v - 6973277?\nAnswer: -1148*v**3 + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 11*x**2 - 11*x - 9. Suppose 0 = -3*j + 4*u + 4 + 9, 5*j - 4*u = 19. What is the remainder when h(12) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 65446?\nAnswer: -65443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**3 - 526*u**2 - 224*u + 3. What is the hundreds digit of l(-106)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000147549611 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6606 and 7173.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*q**2\/7 + 822*q\/7 + 72.\nAnswer: 2*(q + 21)*(19*q + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*(-5 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 410, 418, 426, 434, 442?\n\"Answer: 8*j + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 143*w - 3005. Let d be z(22). Calculate the highest common factor of d and 5123.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108531 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*m + 221*m = 31*a - 153, -14*a - 18 = 2*m + 2*m - m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9 - 47\/(-3). Suppose -5*z = -0*z - r. What is the highest common factor of z and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1235 - -55573\/45. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4550 and 3850.\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 4*f)*(9*f + 19*f - 42*f).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912683680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u**2 + 4. Let j(w) = 75*w**2 - 21. Let v = 227 + -223. Determine v*j(m) + 21*y(m).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0487 and -223.\nAnswer: -10.8601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254970 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) -3 (c) 0.25 (d) 15 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -6\/5*w**2 - 2\/5*w + 2\/5*w**3 + 4\/5 + 2\/5*w**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*c + 17*c + 465. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -8*u + 123. Suppose 2*s + j = -5 + u, 0 = 4*s + 5*j - 66. What is the highest common factor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 2\/(2\/1). Let d be (0 - 2 - -14) + 0\/6. Let c = d - p. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 32 + -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let t be (8 - 10)\/((-10)\/25). Solve b = -4*n - n + t*y, 0 = n - 2*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2094495.21556+-0.1358\nAnswer: -2094495.35136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 9*v**2 + 1. Let f be p(-9). Let j = -6.06 + 6. Which is the nearest to f? (a) -4 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 - 320*l**2 - 325*l = 0.\nAnswer: -1, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -f + o + 59, 0 = 4*f + 5*o - 359. Let i = 80 - f. Let t(s) = 3*s + 9. Calculate t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 292 = -2*w, -2*q + 0*q = -2*w - 304. Let g = q - 110. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 38*r - 64. Suppose -r*k + 392 = -64*k. Which is smaller: k or -37\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*y - 11 = 5*y, -4*v - 2*y + 20 = 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-70)*2464\/(-288).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9559, 20644, 31729, 42814, 53899?\nAnswer: 64984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*m + 3*m. What are the prime factors of 1*(m - 6*-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 - 5*z - 4. List the prime factors of o(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -242*q**5\/5 - 74866*q**4\/5 + 24810*q**3 + 136231978*q**2\/5 + 9904960*q + 900360 = 0.\nAnswer: -305, -45, -2\/11, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 3, a: 6, x: 3}. What is prob of picking 1 a, 1 u, and 1 b?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344509 divided by 29.\nAnswer: 344509\/29","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 14*s**3 - 16*s**3 + (-2*s**2 + s**2 + 3*s**2)*(4 - 4 - 2*s) + (s**2 - 4*s**2 + 4*s**2)*(s - 4*s + 2*s).\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1372607 divided by -1.\nAnswer: 1372607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*g - 11*g - 872*g**4 - g)*(-1 + 1 + 1)*(0 - 1 + 0) as z*g**4 + q*g**3 + s*g + a*g**2 + f and give z.\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:06 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttltt. What is prob of picking 2 l and 2 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 bigger than -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5228062 divided by -79?\nAnswer: 66178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1\/((-2)\/2). Suppose u - w*u = -15. Suppose -3*f = 4*g - 8, -u*f = 2*f - 2*g + 4. Is f <= 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -18*f - 204. Let j be l(-11). Let k be (j + 1)*284\/(-355). Solve 0 = k*b - 6 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + 4*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2898)\/15)\/((-19863)\/(-1170) + -17). Calculate the greatest common divisor of 455 and v.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.26264\nAnswer: -4.46488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 2, q: 2, x: 2, m: 4, r: 4}. What is prob of sequence qxqx?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6823.5 to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55553 - 5?\nAnswer: -55561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from eeeesslessaessesee?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12096324 and -125\/936.\nAnswer: 314504424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - g + 1 = 0, 2*g = -2*g - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -31, -22, -9, 8, 29?\n\"Answer: 2*s**2 - s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4*2\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20843857 (base 9) to base 5\nAnswer: 10034124321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 6. Let c(d) = -19 + 12*d + 6 - 7*d**2 + 6*d**2. Let u be c(10). Does 9 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44375 divided by 5?\nAnswer: -8875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9040*h**4 - 17394?\nAnswer: -36160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*((-687)\/(-6) + -1). Let m = o + -243. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 14*y**2 + 13*y + 12. Suppose 0 = 28*j - 2095 - 145. Calculate the least common multiple of h(-8) and j.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592705 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210717219.\nAnswer: 3, 29, 2422037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1679 = 4*z, 3*d + 1260 = -9*z + 12*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*p = -81, s = 3*s + 3*p - 54. Suppose 284 + 286 = 5*m. Suppose -123*r + m*r = -648. Calculate the greatest common factor of r and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3101.1*149\nAnswer: 462063.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59905, -119810, -179715, -239620, -299525?\n\"Answer: -59905*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13659 (base 14) to base 16\nAnswer: bb1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -56 and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4446)\/(-399))\/((-72)\/252)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (12 - 18)) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3\/2, -3 in descending order.\nAnswer: 3\/2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.18 + -17. Let g = b - 0.28. Which is greater: g or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2 in descending order.\nAnswer: 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3183955 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 0.005786.\nAnswer: 0.040502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.085 - -0.0850571. What is t rounded to six decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79287494 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2611868 from 0.\nAnswer: -2611868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 335*i**3 - 411451*i**2 + 411451*i**2 + (-i - 4*i + 3*i)*(-27*i + 2*i**2 - 11*i + 45*i) as u*i**3 + f*i**2 + n + m*i and give u.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-9 + (2 - -9))) + -6 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.999 - -0.001. Let s = v - 25.98. Let l be (-9)\/(-4) + 3 + -4. Sort s, -0.4, l.\nAnswer: -0.4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-2 - (2 - (2 - 0)))\/(2\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 3 + 81 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -468903, 0, -3\/8, 0.5, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.1 - -37. Let v = -2.1 - l. Let r = -22.999987 + v. What is r rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2267, 2986, 4925, 8690, 14887, 24122, 37001?\nAnswer: 54130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 100*y + 2880. Give b(-29).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 64 = v + v, 90 = 5*m + 5*v. Put m, 2, -1, -5 in decreasing order.\nAnswer: m, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -7. Suppose -2*r + 38 = n. Suppose 0*t + r = t. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:05 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226450.\nAnswer: 2, 5, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 795.\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323220 + 43321?\nAnswer: -224344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37590\/170 - 4*2\/68 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 4 + 4)*(4 + 2 - 8 + 11*q**2).\nAnswer: -33*q**4 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28132 and 936?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 234\/(-13))*(5\/(-4) - -1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, q: 2, o: 4}. What is prob of sequence ox?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {g: 12, i: 1, r: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -354, -353, -352, -351, -350, -349?\n\"Answer: k - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwwwtwwww. What is prob of picking 2 t and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/9 (b) 0.4 (c) -654 (d) -114\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14988? (a) -3 (b) 1 (c) -28 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39564, 39563, 39562, 39561, 39560, 39559?\nAnswer: 39558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35400, -70846, -106294, -141744, -177196?\nAnswer: -212650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -15. Suppose -q*y - 603 + 1788 = 0. Suppose 2*g - 3*z = -0*g + 454, -g + y = -4*z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0*s**5 - 1\/2*s**3 - 1\/84*s**4 + 0*s**2 + 1\/1260*s**6 - s + 0. Let l(m) be the second derivative of q(m). Factor l(a).\nAnswer: 2*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5470.\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -49*i**2 - 25775*i - 152886. Calculate s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12904, 12494, 12084?\nAnswer: 11674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let h(i) = -2 + 11 - 3*i - 9. Calculate h(v(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17942 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 36.1. Let u = g + 4. Let l = -0.2 - u. Which is the third biggest value? (a) l (b) -1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*x + 12, -3*o + 9 = -2*x + 5*x. Put o, 4, -4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3 + 2. Suppose 0*i + 15 = t*i. Suppose x = -i + 9. Solve -4*c + c = -x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:36 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Suppose -4*b + 39 = -3*b. Suppose 5*w - 2*y = -0*y + b, 5*y + 45 = u*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137884212 and 4959?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13605 + 0?\nAnswer: 13605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*y + 0 + 3 = 0, -y + 18 = 3*m. Let s = m + -1. Suppose 0 = -2*p - 2*p. Solve p = s*q + 3*t - 11, 0 = -4*q - 5*t + 19 - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5078084 (base 9) in base 2?\nAnswer: -1010010101011000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-40))\/(84\/(-112))*35. Suppose 5*y - l - 23 + 2 = 0, -3*l - 15 = -3*y. Solve 2*d - h = 2*h + i, 6 = y*d + 2*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110860 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 125879 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1 + -8 - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -9235.\nAnswer: -14\/1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -48*i**4 - 5*i**3 - 22*i - 5. Let b(r) = 24*r**4 + 3*r**3 + 11*r + 3. Let h(t) = -5*b(t) - 3*n(t). Find the second derivative of h(d) wrt d.\nAnswer: 288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -79*t - 1. Let a be b(2). Let y = 130 - a. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, d: 10}. Give prob of picking 2 a and 2 d.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00187888 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7328654 nanograms to tonnes.\nAnswer: 0.0000000000000007328654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 69. Let k(l) = -l**2 + 2*l + 11. Let c be k(-3). Sort 13, c, v.\nAnswer: c, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 11. Let n be r(16). Let a = -143 - -145. Suppose 11*o + 20 = -a. Put o, -1\/6, n, 2\/9 in increasing order.\nAnswer: n, o, -1\/6, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 9*x + 556. Let q = 133 - x. Is 5 a factor of (-3784)\/(-42) - q\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*y - 3*y + 49*y - 132 + 12*y**2 - 15*y**2 - 28*y.\nAnswer: -3*(y - 22)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**2\/6 + 65*z\/6 - 5.\nAnswer: -5*(z - 1)*(7*z - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 547*z**2 - 21*z - 50 - 1084*z**2 - 113 + 40 + 539*z**2. Let h be n(15). Solve 2*l = 10 - h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-1 - -3 - (-60 + 63)) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (12 + -12 - (-1 - 9)) - 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2525*x - 14 + 34.\nAnswer: 2525*x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*d**3 + 27 + 138*d**3 - 11*d**5 - d - 188*d**3 wrt d.\nAnswer: -220*d**3 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(18)\/(-1*sqrt(6)) - sqrt(9)\/(sqrt(3)*2 + sqrt(3)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:40 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 215. Calculate the highest common factor of j and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, 1, -1, 4 in decreasing order.\nAnswer: 4, 1, -1, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (3\/3 + -4). Let v(g) = 5*g - 10 + 0*g - 2*g + 4*g - g**2. Let w be v(6). Put 0, w, q in ascending order.\nAnswer: w, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13337, 13339, 13341, 13343?\nAnswer: 13345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 21*t**2 + 103*t - 657. Calculate x(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -510 - -512. Solve -x*t - 14 = -4*n, -2*t - 3*t = -n + 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 5*n - 5. Let j(p) = -p**3 - 3 + 0 + 110330*p - 110327*p. Determine -5*j(z) + 3*v(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -255*(-6 + 6 + (1 - 0)). Let k = 769\/3 + w. Which is the nearest to -5? (a) 1\/3 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -1\/12*r**4 - 17*r + 9\/2*r**2 + 2\/3*r**3 + 0. What is the remainder when l(5) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 - 5*v. Let d(i) = -5*i**3 - i**2 + 6*i. Suppose 2 = -3*w + 14. Let b(c) = w*k(c) + 3*d(c). Let h = 8 - 5. What is b(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 7. Let d be p(-5). Suppose 0 = -5*n, 2*n + 3 = o - 1. Let q(r) = 5*r**2 - 2*r**3 - 3 - r**3 + o*r**d + 1. Give q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3*(-3)\/2. Solve 0 = -c - o*b - 7, 5*c + b = -3*b - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490859?\nAnswer: 490859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 134, 289, 504, 779, 1114?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4 = 3*f, 4*f - p = p + 4. Let l(t) = 30*t + 21. Let w(a) = -3*a - 2. What is f*l(o) + 21*w(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.408673 times 350?\nAnswer: -143.03555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 7. Let c(g) = -68*g + 3. Let d(h) = -35*h + 1. Let a(r) = u*c(r) + 15*d(r). Is 14 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 - -280. Let q = 0.1 + -0.6. What is the third biggest value in q, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 220 - 216 = 0. Suppose -2*j + 0*j + 5*c = -55, 41 = j + 2*c. Suppose h + 4*h = j. Calculate the remainder when h is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97344, 190769, 284194?\nAnswer: 377619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 16\/817?\nAnswer: 16\/817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/5432538 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + 7*d. Suppose -4*b - 8 = 12. Let l be n(b). Suppose 0 = m + 4*m - l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 376 = -4*s, -8074*b = 7*s - 8076*b - 82 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733 - 1733 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6915411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (1*sqrt(88)*-5 - sqrt(88) - sqrt(88)))\/sqrt(8)*1*-3.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -24*z - 55. Give f(-15).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((212\/(-16))\/(-1))\/(9\/4788).\nAnswer: 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b**3 - 17*b**2 + 24*b - 17. Let h(y) = -9*y**3 - 6*y**2 + 8*y - 6. Let n(c) = -17*h(c) + 6*m(c). Find the second derivative of n(r) wrt r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1358ad + -24?\nAnswer: -1358d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -8007.\nAnswer: -8006.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -859.7 + 23.2.\nAnswer: -836.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.3 - 7.7. Let x = v + 15. Which is the closest to 0.1? (a) x (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 373386, 1493518, 3360396, 5974014, 9334366, 13441446, 18295248?\n\"Answer: -u**3 + 373379*u**2 + 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*y - 5. Suppose 5*r + 27 - y = 0. What is the tens digit of ((-2)\/r)\/((-1)\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**3 - 3*d**2 + 6*d + 12. Determine k(3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (98\/(-4) - 9)\/(3\/(-978)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041416 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2444 times -307.36?\nAnswer: 751187.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 103 - 53 = -4*x, 5*x = -15. Let j = -15 + 15. Suppose 2*c - c - 7 = j. What is the highest common divisor of r and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -64737 and -4984726\/77 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 16*j**2 + 24*j - 28. What is the tens digit of q(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + n + 1 - 1 + 2*n + (n + 2 - 2)*(-3 + 4 + 0) + (2*n + 1 - 1)*(3 + 0 - 1).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16102329.\nAnswer: 3, 19, 101, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -500 and 53 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -4\/53, -3\/5, 2, -1\/4 in ascending order.\nAnswer: -4, -1, -3\/5, -1\/4, -4\/53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 77723?\nAnswer: 77711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 81 (b) -3 (c) -2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/2 - 199082*c - 19816821362 = 0 for c.\nAnswer: -199082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1410 and -1573 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/135, 5, -2\/3, -6, -2\/7.\nAnswer: -6, -2\/3, -2\/7, -2\/135, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.01 - 0.01. What is the nearest to a in 0, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311 - 162. Let b = h + -94. Suppose 0*g - 5*g + b = 0. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -9 + 44. Let q(i) = i**2 + 7*i + 14. Let w be q(o). Suppose 3*g = w - 2. 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 remainder when 12026 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(0 - (-2)\/4). Let j be 7\/63*39 + 2\/3. Suppose -4*h - h = j, -2*l - 2*h = 2. Solve l*v + 5*v + d = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 262 = -3*o, 4*h - 158 = 4*o - 502. Differentiate o*d**2 + 27 - 50 - 57 - 103 with respect to d.\nAnswer: 174*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 - -71. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950954.4 centuries in months?\nAnswer: 1141145280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 2. Let w(g) = 2*g - 4. Let z(y) = -5*q(y) + 3*w(y). Suppose 1 = -5*h - 14. Calculate z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4 = -21*n + 24*n, 4*n = 2*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - (44 + -81 + 32 - (-2 + 56)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -164, -429, -832, -1391?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -243, -246, -249, -252, -255?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x**3 + 3*x**2 - 17*x. Let y be r(4). Let b = y - 162. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-8))*i)\/i)\/(i**(-7\/3)*i))**(-23) assuming i is positive.\nAnswer: i**(-644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b**3 + 21*b**2 - b + 277. Let g(w) = -12*w**3 + 28*w**2 - w + 278. Calculate 3*g(k) - 4*y(k).\nAnswer: 20*k**3 + k - 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229 - -232. Sort -55, n, -0.3.\nAnswer: -55, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 2. Let v(x) = -x**2 - 3*x**3 + 5*x**2 - 23*x + 12*x + 14*x. Let f be v(-1). Solve h*w - f*w = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*r - 1934*r = 57467 + 30149 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (0 + sqrt(2299))) + (1*sqrt(475))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 12)*(-15)\/(-540)*-9. Which is the smallest value? (a) -3\/2 (b) p (c) -4 (d) -35\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 965000*c. Let z be r(2). What is z rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 57250, 57695, 58906, 61267, 65162, 70975, 79090?\n\"Answer: 64*d**3 - d**2 + 57187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 282.0335164.\nAnswer: 282.5335164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - w + 54 = 3*w, -4*w = 3*s - 146. Suppose 42*d - s*d = -12. Suppose -d*z - 4*z = 5390000. Round z to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -39*l. Let o(c) = 4*c**2. Let x(m) = -6*m**2. Let h(v) = -4*o(v) - 3*x(v). Determine h(z(d)).\nAnswer: 3042*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14) - (-358)\/43855*9415.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -54651, -10 in decreasing order.\nAnswer: 2, -10, -54651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2 = 5*u + 3, -562*u - 10*r + 4 = -566*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 238 = 7*o. Let f be 2\/(-14)*758 + 2\/o. Which is smaller: -107 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**3 + 4*l**3)*(4 - 1 - 2 + (-3 - 4 + 6)*(0 - 1 + 3) + 0 + 2 + 1 - 1 + 3 + 5).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2394)\/(-140))\/9*10. Solve v = -2*h + 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -749?\nAnswer: 104.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = -3. Let x(u) = 3*u**2 + 3*u - 3. Let p be x(z). Let k(q) = -10*q + 30. Let l be k(-9). Calculate the greatest common divisor of p and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 5 = -13*g. Suppose -11*l - 12 = -13*l + 3*t, -g*t - 20 = 2*l. Let h(i) = -i**2 - 5*i + 6. Let x be h(-5). Solve l*o + x = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/3, -7.73, 33, 21, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d**2 - 432 + 870 - 347*d**2 - 437 + 22*d**2.\nAnswer: -278*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.14 + 0.14. Let p = w - -18. Let d = 1.6 - 1.1. What is the second biggest value in -1\/3, p, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 88937319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-308)\/26 + 12\/(-78). Let r = k - -7. Let w(y) = -y**2 - 3*y + 4. Give w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 3*m + 5*j - 56, -m + 32 = 5*j. Suppose -m = 4*p + 3*c, -4*p - 2*c = 3*c + 20. Suppose 0 = -q - p + 20. Solve 2*k - q = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 - -184.02. Let i = 0.02 - g. Is -1 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0881 (b) 0 (c) 6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -853, -5110, -12213, -22168, -34981, -50658?\n\"Answer: -a**3 - 1417*a**2 + a + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/38 - -6\/19. Let p = -459 - -455. Which is the nearest to x? (a) p (b) 11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 18*u + 52. Let d be c(-14). Let q = -0.02 + -0.28. Let y = q - 0.2. What is the nearest to -1 in y, d, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 24323*q - 121612. Let d be z(5). Find v such that -12*v**2 - 33\/2*v + 3\/2*v**d + 27 = 0.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 263 (b) -3 (c) -1 (d) -2 (e) 1 (f) -0.5 (g) 616\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111*n**2 - 5*n + 76*n**2 + 4*n)*(-n**2 - 2*n + 2*n) as b*n + z*n**4 + g*n**3 + s*n**2 + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40133 - -2?\nAnswer: 40135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367914 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2167569 - 5597*z**4 + 2167569 - 4*z**4 + 5*z**4 + 0*z**4 + (-4 + 2 + 3)*(-z**4 + 3*z**4 + 0*z**4) to f*z + k*z**4 + w + b*z**3 + o*z**2 and give k.\nAnswer: -5594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siymymh. What is prob of sequence hy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - 149. Suppose 5*v - 5*x - 1015 = 0, -5*v + 0*v - 4*x + 1042 = n. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1869786, -3739567, -5609348?\nAnswer: -7479129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - 3 - (-15 + -15 + 15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + t**3 - 2)*(-14*t - 33*t + 81*t) + (3*t - 4 + 4)*(t**3 - t**3 - t**3) as k*t**3 + v + m*t**2 + l*t**4 + f*t and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7766.591ml?\nAnswer: 7.766591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 17*u**2 + 73*u - 34. Give d(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23100\/(-315) - -83)\/((-2)\/(-18))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 7046.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 8)*(77*p + 29*p**2 - 77*p)*(3 - 3 + 2) as z*p**2 + q*p + j and give z.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-8 - 3 - -2) + 7 + -22 - 36\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139*98.9109.\nAnswer: 13748.6151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85809 is divided by 17135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4289 = -4*a - 5*r, -7709 = -5*a - 3*r - 2351. Calculate the greatest common divisor of a and 833.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6454*k + 14. Let u(b) = -2151*b + 5. Give 4*f(s) - 11*u(s).\nAnswer: -2155*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/797085 and 87\/708520.\nAnswer: 6376680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.917128 rounded to 2 dps?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 630, 629, 628, 627, 626, 625?\n\"Answer: -v + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 2 m when four letters picked without replacement from {m: 4, c: 2, w: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 - 1667784*j + 28353484 = 0. What is j?\nAnswer: -416963, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, -6 in ascending order.\nAnswer: -6, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 63?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b*r**6 + 5203468*b*r**5 - 111217059*b*r**2 wrt r?\nAnswer: -840*b*r**3 + 312208080*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 1 = -9*i - 2*h, -4*h = 6*i + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from rrrrgmrrggrrg?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 120 = 9*p. Calculate the highest common divisor of 510 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9470 (base 16) in base 3?\nAnswer: -1221010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 31*h**2 - 7*h - 1. Let b be y(26). Let l = -2482 - b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let f = -0.183 - -0.183. What is the nearest to f in w, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + s**3 + (-5*s + 0*s + 3*s)*(2*s**2 + s**2 - 5*s**2) - 2*s**3 - 2*s**2 + 2*s**2 + 3*s**3 + 3 - 3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*d - 71*d + 384. Let v = d + 150. What are the prime factors of v?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -15 - 1. Suppose 0*g - 5*h - 312 = -2*g, 0 = -4*g - f*h + 624. What is the units digit of ((-3)\/(-2))\/(18\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:08 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1062 and 29286?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8867 (base 12) in base 10?\nAnswer: -222415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 506078.49 to the nearest one hundred.\nAnswer: 506100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2200?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3 - 214*a**2*s - 35007*a*s - 55574093*s wrt a?\nAnswer: -6*a**2 - 428*a*s - 35007*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9067 = 17*v - 85810. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 4 - 3*j**3 + 5 + 77*j - 11 + 8 to the form u*j + a*j**3 + s + k*j**2 and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5))**(-15\/2)*(g**(2\/7)*g)**(1\/67))**(-4\/11) assuming g is positive.\nAnswer: g**(19662\/5159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/7*33)\/((-978)\/21) and -29\/10.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4398 and -327?\nAnswer: -1438146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.041 hours in minutes?\nAnswer: 32642.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 + 4*z + 8. Let a = -106 + 101. What is the remainder when q(a) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -23*i**3\/6 + 299*i**2\/2 - i - 29. Let j be t(13). Let w be (-1 - 14\/(-6))*3. Solve -w*d + d - 15 = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4, -8 = -b + z - 3. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - d + 5, 5*d + 0*d = 25. Suppose -11*s - 43 + 6522 = t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2))\/k)\/k)\/k*k*(k*(k*k\/(k*k\/((k**(-9)*k)\/k)))\/k*k)\/k*(k\/k**(-2\/5))**(-6\/5) assuming k is positive.\nAnswer: k**(-342\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 253?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/16 - 3\/(-2). Suppose -4*w = 2*o + 4, v*o - 8 = w + 3. Suppose -7 = 2*p - 3*p. Solve o*k = 8, 3*k + p = -4*y - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*u = 9*u + 10, u + 2 = 0. Is m <= 1\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267955958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542333.\nAnswer: 11, 47, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*3*-4*-2*sqrt(448))**2 + 5.\nAnswer: 6451205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(0*n**2 + 4*n**2 - 2*n**2).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3303515 + -2?\nAnswer: 3303513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 4. Let p be v(-8). Solve 0 = 4*g - g - p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 0*w**4 + 0*w**4 + 6*w**4 + 5 - 5 + 6*w**4 - 9*w**4 + 13*w**4 + (-w + 2*w**3 + w)*(2*w - 2 + 2).\nAnswer: 19*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -7 + -21 + 22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -551817, -1103645, -1655473, -2207301, -2759129, -3310957?\n\"Answer: -551828*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*p**3*z**2 + 5*p**3*z + 2*p**2 - 170588*p*z**5 - 1882*p*z + 15*p wrt z.\nAnswer: -140*p**3 - 3411760*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 400962151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17018 is divided by 203.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 210 + 93. Let q = 170 + n. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, -3\/8, -584\/7, 1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - -43 - (-516 - (164 - 681)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 5:43 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 6 = 50*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 33. Calculate the remainder when 72 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33557\/24 - -1396. Calculate the common denominator of -37\/90 and t.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7270577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 11:07 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 21 = g + 2*h, 5*g = 2*h - 24. Let b be (105\/g)\/7*(-48)\/20. Suppose -b*o - 2*o + 432 = 0. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 26. What are the prime factors of -4 + 35\/15*v?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 1834 + 350. Suppose 8*b - 312 - w = 0. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a micrometer in nanometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {q: 2, f: 1, m: 11, v: 2, r: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let h be ((-36)\/(-180))\/((-2)\/(-110)). Suppose 0 = -4*d - 2*c - 3*c + 19, 3*d - 18 = -3*c. Let m(q) = -19*q + h - 13*q - d. Calculate m(x(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/(-18)*2\/24. Which is the fourth smallest value? (a) 0.2 (b) h (c) 2\/15 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10692 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 4*b + 2. Let w = -14 - -10. Let u be j(w). Solve u*c = 2 + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/103 + -284\/1339. Let u be (-357)\/(-5) + 4\/4. Let a = u - 72. What is the second biggest value in a, 4, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19 or -153.7?\nAnswer: -153.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-48)*6*(-8)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*t + 72 = 0, s - 5*s - 2*t + 124 = 0. Suppose 0 = -2*h - 4*w + s, 108 = 5*h + 2*w - 12. Let x = 107\/4 - h. Is x less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h + 10*h + 10*h**4 - 3*h**4 + 6*h**4 wrt h.\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155.44 + 154. What is k rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*s**4 - 2*s**3 + 47*s**2 + 187042*s wrt s.\nAnswer: -864*s**2 - 12*s + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from sbbussbbsbbubbbsbs.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-13)\/(-273)*15\/(15\/(-79)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11410545*d**2 - 13170418*d wrt d.\nAnswer: -22821090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -6) + -30 + -16 + (11 - 1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 98732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-300)*12)\/(-3 - 36\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -13. Suppose -3*d - 24 = -5*c, 2*d = 2*c + 4*d - l. Suppose 4*t - c*t = -18. Calculate the remainder when 14 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-20) - (-60)\/(-40). Let q = -492 + 3939\/8. Sort -0.1, 4, r, q in decreasing order.\nAnswer: 4, r, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - d - 50, -w = -5*w - 4*d + 88. Let i(y) = y**3 + 5*y**2 - y - 4. Let k be i(-5). Suppose w = x - k. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 883761 and 4602?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591190 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 + -558 + -1 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 608a + 2b7?\nAnswer: 6352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 199. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 31. Let s be t(17). Let h = -431.2 + 431. Which is the nearest to 3? (a) -2\/7 (b) s (c) h (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269107 is divided by 19219.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105202 - ((-88)\/(-32) - 5)\/(3\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - g = -27, -8 = -4*z - 4*g - 20. Let c = 18 - z. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.253 + -23.547. What is g rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:22 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:03 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10486055.26349 and 0.5?\nAnswer: 10486054.76349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -282, -361, -422, -465?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, -2, -59, -5, -6 in increasing order.\nAnswer: -141, -59, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhhhtthtzhthhhhhhhz. Give prob of sequence ttzh.\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 11 - 11 + 562*w - 11 - 19 as u + b*w and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 - v. Let i be m(1). Let l(a) = a**2 + 18*a + 8. Let u be l(-19). Let d = 43 - u. Solve 5*q = -i*g - 25, 2*g + d + 2 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59278471\/520 - 113997. What is the common denominator of -71\/24 and h?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -1, -2757, -2\/5 in decreasing order.\nAnswer: -2\/7, -2\/5, -1, -4, -2757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 475816 divided by -22?\nAnswer: -21628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -7 + 1547\/169 + (-2)\/13. Solve -2*q - 7*t + v*t = 8, -3*t + 9 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y - 4. Let p(s) = -9*s. Let m(r) = 75*r - 27. Let x(f) = -5*m(f) + 15*p(f). Calculate 135*h(w) + 4*x(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3873 - -35375. Is i a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3 - 4) + -13 + 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 0 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15205522*q + 5184 = 15205414*q for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/126)\/(64\/747). Let x = d + -1\/128. Let l = 54.377 + -54.377. Sort -2\/9, -0.19, x, l.\nAnswer: x, -2\/9, -0.19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2016 - 332 = 140*z - 696 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5777385mm in nanometers?\nAnswer: 577738.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.74666 years to decades.\nAnswer: 2.674666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0256 rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + 0.19. Let f = 940\/7 + -134. Which is the third biggest value? (a) 2\/19 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -21. Let m be (-2)\/(-5)*(-30)\/c. Solve 0 = m*u + 3 + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/((-2838)\/(-903)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 13 - -8 - (-14410)\/660*(-1)\/(-11)\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 15) to base 5\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 61*y**2 - 28*y**2.\nAnswer: -95*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30*((-2)\/12 - (-2)\/(-4)). Let m(n) be the first derivative of 23999*n**2 - 40*n + 2. Let f be m(a). What is f rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.829507 - -10.83. What is r rounded to 5 dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**3 + 2*i**2 + i. Let y be -10*1\/(10\/(-8)). Suppose 0 = 3*z + 5*s - 0*s + y, 5*z + 7 = -2*s. List the prime factors of n(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 24*m - 153. Calculate v(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14438, 28670, 42888, 57086, 71258?\nAnswer: 85398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.5 - -6. Let p = t - -3. Let g = 104 - 106. Which is the closest to g? (a) 0.2 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - -57. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 110 = 4*o, -102 = -3082*m + 3084*m + 4*o for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and -79\/7734336?\nAnswer: 7734336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + u + 3 + 3 - 5.\nAnswer: u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Let w(v) = v - 5. Let y be w(a). Let p = 4.09 - 0.09. What is the nearest to 0.1 in 0.4, y, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.53629, 1\/3, -1.\nAnswer: -1.53629, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43439 and 71082?\nAnswer: 781902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 62 = -3*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -19 + 2*a + 19. Let d(q) = -q. What is 5*d(n) + j(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 19. Let i be u(17). Suppose -3 = i*g - 7. Which is the biggest value? (a) g (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2346771 micrograms?\nAnswer: 0.0000002346771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*c - 20, 16*j = 9*c + 17*j - 43 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22725 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -614, 0, 5, 1, -5 in increasing order.\nAnswer: -614, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m + 0*m)*(-m + 7*m + 10*m) to the form l + h*m**2 + c*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12*r + 74. Suppose -m + 2*l - 4 = -3*m, -4*m = -2*l - 8. Suppose 6*k - 604 = m*k. What is the remainder when k is divided by h(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 150. Suppose 3*t + 34 = 379. Let z = t - y. Is 19 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 2678\/78*(-2)\/((-2)\/3) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2389974ug in grams?\nAnswer: 0.0000002389974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-2 + (-4 - (-6 - 5)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(7) - -2*sqrt(7))*-4)**2.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 1. Let a(p) = -p - 1. Suppose y - 1 = 1. Let u be (1 - 0)*1 - (-420)\/14. Suppose 26*n = u*n + 5. Give n*s(f) + y*a(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51bb - 1?\nAnswer: 51ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(144)\/sqrt(6) + (sqrt(24) - (sqrt(24) + sqrt(24)*2*6) - sqrt(24)))\/(sqrt(48)\/(sqrt(16)\/sqrt(4)) - (4*sqrt(96) + sqrt(96))\/sqrt(8)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:29 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6784\/(-1272))\/(96\/1818)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a12ee55 - -3?\nAnswer: a12ee58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, 1\/32, 0.4, -7.6, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-3)\/((s*s*s**1)\/(s\/s**2))*(s**(-2\/5)*s\/s**4)**48 assuming s is positive.\nAnswer: s**(-1657\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -994121*r**3 - 2*r**2 - 5101.\nAnswer: -5964726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 19*n - 5. Let z be ((-7)\/(-35))\/(3\/345). Suppose z*r - 16*r = 56. List the prime factors of l(r).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -79*t + 17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5224 * 72.\nAnswer: 376128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-6 - -10 - 0 - 25).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(68)*-2 + sqrt(68) - (sqrt(68)*-1 + sqrt(68))*4)\/(sqrt(144) + (sqrt(144)*-2 + sqrt(144))*6 + sqrt(144)))**2.\nAnswer: 833\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 0.2. Let o = p + -4.93. Let x = 10 + o. Sort x, 2, 3 in increasing order.\nAnswer: 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 130\/3. Let j be (-8)\/(-28)*(-7)\/(-3). Sort -2\/25, j, p in increasing order.\nAnswer: -2\/25, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*w = 0, 3*o - 5*w = -o + 11. Suppose 0 = -o*z + 10 + 2. Suppose 3*x + 0 + z = 0. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - 9 - -1 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3 - 2597854*h - 3189300?\nAnswer: 3*h**2 - 2597854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i**2 - 35*i + 45. Determine l(9).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a7ae2 (base 16) in base 13?\nAnswer: 1b0802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93792 is divided by 538?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*3*sqrt(105))\/sqrt(7))\/((sqrt(84)\/sqrt(4))\/sqrt(7) - (1*sqrt(108) - sqrt(3))))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 + 0*v**3 - v**3)*(2 + 0 - 6) + (2*v + 1 - 1)*(3*v - 26*v + 6*v)*(1 - 1 - 3*v) to p*v**3 + c*v**2 + f + m*v and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -566*u - 7. Let k(f) = -567*f - 9. Determine -4*k(h) + 5*v(h).\nAnswer: -562*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 1. Let i be v(-7). Let z = i - -29. Suppose 3*d - 4*l = z + 34, -4*d = -l - 135. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135 is divided by 278.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3 - 1 + 2 + 0 + (-2 + 2 - 1)*(-2 + 5 - 2) + 1 - 7 + 13)*(q**2 - q + q) in the form d*q + t*q**2 + y and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 6}. What is prob of picking 4 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113450126 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: What is the eighth root of 4203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336.4268 plus 5?\nAnswer: 3341.4268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a8084 (base 11) in base 13?\nAnswer: 566b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: (-2)\/48*-27*30\/81\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 519 = 123. Solve -5 - 28 = -x*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 2. Let n(v) = -5*v + 3. Let r be (-17)\/170 - (1624\/(-28))\/(-20 + 0). Calculate r*n(b) + 4*f(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -289.\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 21. Let z = 30 + h. Let r(t) = 6*t + 22. What is the tens digit of r(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 53155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14883262 + 0*n - 14883258 - n. Give d(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3987, -4, -3 in increasing order.\nAnswer: -3987, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 8. Let z(c) = c**3 + c**2 + c - 6. Let d be z(0). Let q(y) = -y + 1. Let x(a) = d*q(a) + w(a). Does 8 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 343*j**4 - 6*j**3 - 12*j**2 + 215. Let r(s) = -s**4 + s**3 + 2*s**2 + 3. Let w(c) = -6*r(c) - x(c). Differentiate w(v) with respect to v.\nAnswer: -1348*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b = -11*b - 185 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-6 + 2)\/(-1))*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/168 and 137\/5740.\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 10*s - 1. Let u be p(8). Suppose 5*x + u = 0, a - x + 9 = -3*a. Let f = a + 2. What is the closest to 0.1 in 0.3, f, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(171) + sqrt(171))**2 - sqrt(171)) + (6*sqrt(1539))**2.\nAnswer: -15*sqrt(19) + 56089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -1) + (-299 - -317) + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011110 - 11010101?\nAnswer: 1110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360*b = 3*t - 1365*b + 4, -4*b + 16 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-159*s + 159*s - 12*s**2)*(2 + 2 - 5) + 6*s**2 - s**2 - 4*s**2 + (-s + 3*s + 0*s)*(3*s - s + 0*s) to y*s**2 + b + z*s and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62, 104, 146, 188, 230?\n\"Answer: 42*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468169, -468156, -468143, -468130?\nAnswer: -468117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 3. Let u(p) = -p. Let j(d) = -2*u(d) + w(d). Let t(i) = 2*i - i - 1 + 3. Let h(q) = 5*j(q) - 6*t(q). Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3852\/(-1605)*(3 - (-1412)\/(-464))\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 2094. Let f(p) = p**2. Give f(h(m)).\nAnswer: 4*m**2 + 8376*m + 4384836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-2)\/6)*(-135 + (-57 - -18)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 15. Let a be j(-6). Let l be 15 + 0 + a + -4. Suppose -b + l*b = 91. Calculate the lowest common multiple of b and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - 19\/(-2660)*3084.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 82 = 4*n, -994*n + l + 42 = -996*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (11 - 98\/(-42)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79928668 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(28\/14)\/((-4)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(2\/13))\/x)\/x)**19)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325 - -330. Let s = 49\/475 + 1\/475. What is the third biggest value in s, -10, 1, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 - 3.87. Let c = u + -0.23. Let q = -0.17 - -0.1. What is the nearest to -2\/5 in 4, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**3*z + d**2 + 42*d*z + 187*z with respect to d.\nAnswer: -24*d**2*z + 2*d + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 2 (b) 0.23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7786*g**2 + 3014*g**2 + 1773*g**2 - g.\nAnswer: 12573*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:22 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 7*f + 5. Let y be (-56)\/10 + 4\/(-10). Let c be z(y). What is the remainder when 3\/(4\/(-6) - c) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2 + sqrt(2))*5)**2 + -6*(sqrt(2) + 4 + -4 - sqrt(2)).\nAnswer: 100*sqrt(2) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 3.6863.\nAnswer: 11.6863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3717 = -2*v, 18 - 3 = -5*u. List the prime factors of v.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186706, 373410, 560110, 746806, 933498, 1120186?\n\"Answer: -2*f**2 + 186710*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12156, 24306, 36456, 48606, 60756, 72906?\n\"Answer: 12150*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-800)\/(-24))\/10*57\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 11*h + 16 + 0*h + 8*h**2. Calculate the remainder when 199 is divided by p(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2 (c) -0.019 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 52 times 234.5\nAnswer: 12194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(80) + -2)**2 + 4.\nAnswer: -482 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 2. Let s be i(2). Suppose 4*t - l - 72 = 0, 0*t + s*l = -t + 18. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*b**3 + 2*b**2*w - 132*w with respect to b.\nAnswer: -72*b**2 + 4*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5 + 3 - 14 + 8 - b. Let g(x) = -x**2 + 4*x + 7. Let p be g(5). Let k be m(p). Solve k = -5*a - 10 - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 36135*y + 249. What is the units digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*b + 210, -3*b - 5*s + 171 = b. Calculate the common denominator of b and -38\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513 (base 15) to base 12\nAnswer: 7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/15 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*o = 11, -3*x - 2 + 19 = -4*o. Let f be -2 + x + 3 - -1. Let y(w) = 8*w - 1. Let r be y(f). Solve 2*z = -j + 8, -2*j - 20 = -r*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -181 and -451.78?\nAnswer: 270.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 16 - 1. Let o = 9092 - 63646\/7. Which is the closest to -0.2? (a) n (b) o (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvch when four letters picked without replacement from cchhvhchhhvh?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84416285 to the nearest integer?\nAnswer: 9188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 18 - 8 - 13 - 4*y**2 to the form k*y + v*y**2 + n and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-4) + 16\/32. Suppose 0 = -2*s - 19 + c. Let v(f) = f**3 + 6*f**2 - 9*f - 4. Let z be v(s). Is 8 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25373834 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337720 divided by -67544?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1, k: 9, b: 1}. What is prob of picking 1 k and 1 b?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from wwwlwwwlwlllll.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 35 - 34 = 0. Let p be 4\/(-18) - (m - (-59512)\/(-18)). Suppose 4*f - p = -6*c + 3*c, 0 = -5*c + f + 5516. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**3\/9 - 368*p**2 + 1151488*p\/9 - 8557568\/3 = 0.\nAnswer: -1096, 24, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2*v + 5*v)*(-13 - 5 + 7).\nAnswer: -33*v + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16646 - -32729. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/30 and 11\/((-55242)\/(-5895)) + 4\/(-8)*2.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126, -393, -706, -957, -1038, -841, -258, 819?\n\"Answer: 18*g**3 - 131*g**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -642, -1211, -1708, -2127, -2462, -2707, -2856?\n\"Answer: c**3 + 30*c**2 - 666*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032 + 3130?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 982*f + 91. Is z(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3592 and 74484?\nAnswer: 66886632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10219, 20444, 30671, 40900?\n\"Answer: t**2 + 10222*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 105. Calculate the highest common factor of t and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**3*x**4 - 42*d**3*x + d**2*x**2 - 10*d*x**4 wrt x?\nAnswer: 120*d**3*x - 240*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100+-998\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 8*t**2 - 2*t + 14. What is the tens digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 130 = -4*t, -4*r + 0*t + t = 115. Which is the third biggest value? (a) 2\/9 (b) -1\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.4 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = -1342 - 158. Let t = 147 + d. Differentiate 62 - t - 13*a**2 + 36*a**2 with respect to a.\nAnswer: 46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8806*m**5\/15 + 33536*m**4\/5 + 33593176*m**3\/15 + 3858752*m**2\/3 + 1066368*m\/5 + 121856\/15 = 0 for m.\nAnswer: -56, -2\/7, -4\/17, -2\/37, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x = -50*x + 4*l + 12, -33 = -5*x - l. Factor x + 98\/3*u**2 - 28*u.\nAnswer: 2*(7*u - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 389975542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and (9\/(81\/(-66)))\/(6\/(-54) + 0).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.015883 + 3.263217. Let b = n - 20.27966. Let z = b - -17. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -12 (c) -0.16 (d) 1\/10 (e) -0.2 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose 40 = -2*l - t, 0 = -0*l + 4*l + 3*t + 78. Calculate the lowest common multiple of c and (-434)\/l + (-2)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:03 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 246583+50\nAnswer: 246633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = g - 73. Suppose g*b - 19 = 1. What is the third derivative of -s**3 - 7*s**3 - s**2 - 4*s**3 + b*s**3 wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4855733562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 32 = -2*w. Let g = -56 + w. Are g and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yshyhqyhyhhqyyyyqh. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-240)*-30*(-104)\/(-18))\/(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + sqrt(21)\/sqrt(7) + -2)**2.\nAnswer: -16*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 845*z = -v - 5065, -5*v - 8*v + 10*v - 27 = -5*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:49 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 6*r + 16*r + 4*r**2 - 11*r - 3. What is z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-29)\/((-203)\/(-140))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/9 + (-3020)\/(-180) + -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2736) + 3*sqrt(2736) + sqrt(2736) + -4)**2.\nAnswer: -720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**2 + 1\/6*f**4 + 30 + 0*f + 0*f**3. Let j(d) = -d. Determine k(j(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a - 9. Suppose 2*f + 3*t + 1 = 0, -a*f + 0*t - 2*t + 10 = 0. Solve -3*s = -2*n, 3*n - 2*n - f*s = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (0 + 17 + -87 + -3) - -17?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/9, 84, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - 11?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -969 (c) -0.5 (d) -5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -0.1, 0.211, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) -58\/7 (b) -15 (c) 55 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-104)*404*13*1. Which is smaller: -656 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3654 + -3653.93. What is the nearest to 2\/3 in -12, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 - 4.6. Which is the closest to -0.2? (a) y (b) 0.001 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -6\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 2:39 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 70\/11, -0.09, 3, 1, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3152 divided by -4001\nAnswer: -3152\/4001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 (base 8) in base 9?\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 22, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 103656899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 591*t**2 - 1142*t**3 - 1029*t**3 - 206*t**2 + 446*t**2 + 1366*t**2 wrt t?\nAnswer: -13026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and -67\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 45*v - 349. Let b be k(10). Let w(o) = -31*o**3 + o**2 - 2*o + 2. Determine w(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 19. What is d(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.070026 to zero dps.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12817*t + 5*k + 35 = -12815*t, -5*t + k = -53 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39570 by 2638.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(112) + sqrt(112) + 0 - sqrt(77)\/(1*sqrt(11)))**2.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -406*r - 636. Let g be l(-2). Calculate the greatest common divisor of g and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349529?\nAnswer: 349529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 0)*(124*x**2 + 38422*x + 38429*x - 76858*x) to l*x + n*x**2 + s and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 265691925 divided by 225?\nAnswer: 1180853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12853 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 1 + 1*-2. Suppose k*q + 1 = -5. Is 2*41 - (q - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h**3 - 10 + 11 + 4*h**2 - 4 + 7 + h + 3*h. Let s(c) = 550*c**3 - 99*c**2 - 99*c - 99. Calculate -4*s(a) - 99*x(a).\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhmhhmh. Give prob of sequence hmmh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 3*o**2 + 4. Let u be n(-3). Let g(j) = 21*j + 2. Calculate the least common multiple of 4 and g(u).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -2\/3, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*j = 3 - 4, -3*i - 2*j = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 114113?\nAnswer: -114202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138418 or 138416?\nAnswer: 138418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 7*x**4\/12 + 13*x**3\/6 + 12*x**2 + 2*x. What is the units digit of k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-4) + -15)*(0 - -5). Let b = h - -89. Let a(l) = -8*l - 48. Let x be a(b). Solve x = 4*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -8.64. Let k = -0.31 - n. What is the closest to -0.1 in k, 0.5, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -7\/10692918?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*c - 21 - 55, -c - 27 = r. Let k = 29 + c. Which is greater: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-94)\/2 + -5. Is -46 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z. Let i(j) = 5*j - 9. Let w(y) = y - 2. Let l(n) = 4*i(n) - 18*w(n). Calculate l(g(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (2 - 2) - (16 + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 - 4.6. Suppose b + 3 = 5. What is the closest to -1\/2 in b, q, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 + 0.9. Let w = 0.4 + g. Let o = -0.01 + 2.01. What is the third biggest value in o, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Let f be 9\/i*(-12)\/(-9). Suppose 5*h - 9 - 6 = -2*d, 3*d - h - 14 = 0. Solve d*r - 4*v + 28 = -f*v, 5*r + 8 = 3*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(70) + sqrt(70) + 4*sqrt(70)) - sqrt(70)) + sqrt(70) + 3*sqrt(70)*3)\/(-2*2*2*sqrt(160)))**2.\nAnswer: 63\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -19*c - 2. Let q(d) = -d. Calculate 4*q(l) - t(l).\nAnswer: 15*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/5 of a milligram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39036 - -39146. Solve 121*c = z*c + 66 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-8)\/(90\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1462 - 928. Suppose -z + 2*z = y. Find the common denominator of (2\/(-30))\/((-4)\/z) and 59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 1, p: 2, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -159 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -190861580.7 to the nearest 100000.\nAnswer: -190900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/2 (b) 7\/4 (c) 1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -4 + (-8)\/(-2). Put -3, h, -1 in ascending order.\nAnswer: h, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7800)\/390*((-2)\/4)\/(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 21 + 30 + 8*j)*(0*j + j - 3*j).\nAnswer: -16*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47305419391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((20 - 16) + 22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.81363802 and 0.1?\nAnswer: -0.081363802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 880 + -30. Let q = -850.00631 + d. Round q to 4 dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008036 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*t + 8 = -4*f, 4*t = f + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: f4 (base 16) to base 2\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9413 = -74*w + 44267. What is the greatest common factor of w and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + ((sqrt(99) - (sqrt(99) - (-3*sqrt(99) + sqrt(99)) - sqrt(99))) + -2)**2.\nAnswer: 12*sqrt(11) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/15)\/(1\/(-3)). Let s = 0.45 + -0.5. Let o = -0.95 + s. Is o equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 624*s**2 + 2. Let a(c) = -c**2. What is a(u(w))?\nAnswer: -389376*w**4 - 2496*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 - -209. Suppose h*k = 67*k - 223200. Round k to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 8. Let i be l\/2*(-6)\/15. Let m be 228\/(-165) - (-2)\/11. Which is the third biggest value? (a) i (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 549978562 and 60755?\nAnswer: 12151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 6990 in descending order.\nAnswer: 6990, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*h)*(3 - 1 - 3)*(0*h**4 + 2*h**4 + 10*h**4).\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 + 6 = 0. Let l = 7 + v. Let a = -7 + 10. Sort 4, a, l in decreasing order.\nAnswer: 4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -7. Let d(a) = 22 - p - 2*a. Let k(x) = -2*x**2. What is k(d(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.8. Let q = 0.055 - 23.055. Let l = q + 25. Which is the closest to l? (a) 1 (b) o (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3\/2*j**4 + 6*j**2 + 16 + 12*j + 3\/5*j**5 - 3*j**3. Factor z(h).\nAnswer: 3*(h - 2)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -93. What is the remainder when (-105)\/((-4 - -3) + 0) is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*w - 3, 3*i - 5*i - 5*w = 5. Suppose i = -x + v + 6, -4*v - 11 = -x + 10. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/70*14\/120. Let c(f) be the third derivative of -1\/6*f**3 - 1\/12*f**4 + 0 - f**2 + 1\/120*f**6 + 0*f - g*f**5. What is c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {o: 2, d: 1, c: 3, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 21*l + 12*l - 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -24.307187\nAnswer: 121.535935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -729.367 - -1.367. Let s = g - -728.701. Let z = s + -0.7. What is z rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965 divided by -8464.\nAnswer: 965\/8464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = m + 14. Let h(k) = 2*k**2 + 49*k - 23. Is h(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2550 and -199\/1020600.\nAnswer: 17350200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 - 20208*g + 20204 = 0. Calculate g.\nAnswer: 1, 5051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 264 and 6?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 - 176. Let w(o) = -o**2 + 46*o - 105. Let h be w(f). What is the highest common divisor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141943 is divided by 588.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1000\/6)\/(-2))\/((-82580)\/99096)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*32\/254880*59\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12929652*f - 12929361*f + 25859012*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*c**2*t - 18*c**2*x**2 + 16*c**2*x + 4*c**2 + 7*c*t*x**2 + 5*t*x - 4*t wrt t.\nAnswer: -160*c**2 + 7*c*x**2 + 5*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1413, 1524, 1711, 1974, 2313, 2728, 3219?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = 184 + 86 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 17, -5, 4\/5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:36 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4*5\/(-30)). Suppose 30 - 18 = -a*i. Suppose 4*h + 13 = 1. Which is bigger: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108695, -44, -22 in decreasing order.\nAnswer: -22, -44, -108695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (-29 + 35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -156, -155, -154, -153, -152?\n\"Answer: s - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7))*-2 - (1 + sqrt(700))**2.\nAnswer: -697 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 10155 + 10155)*(1 - 3 - 4*y**2 + 3).\nAnswer: -36*y**3 + 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 428543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 23 = -7*f, 4*g - 36*f + 35*f = 29 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663, -1276, -1889?\nAnswer: -2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 16*q = -26. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(m**2 - m**2 - 2*m**3)*((0 - 4 + 2)*(1 - 2*m - 1) + m - 1 + 1).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (29 + 6)\/7 - 1082\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 459960 and 383300.\nAnswer: 2299800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/233 (b) -2\/37 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -2410319.96794?\nAnswer: -2410300.96794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*f + 8 = 0, 2*f - 6 = l + 5*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7071, -7725, -8379, -9033?\n\"Answer: -654*s - 6417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 33 = 4*j - 153, 75 = -3*a + 3*j. Let q = 50 + a. Let c be -6*(175\/q)\/(-7). Solve 15 + 10 = c*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -74*z**4 + 46374*z**3 + 1208840*z**2 + 8467104*z + 9201024 = 0. What is z?\nAnswer: -12, -49\/37, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2. Let p(q) = 7066 + 3*q - 14170 + 7068. Give m(p(s)).\nAnswer: 27*s**2 - 648*s + 3888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/3, -16.9, 1\/4 in increasing order.\nAnswer: -16.9, 1\/4, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7*r - 3*l + 30 = 0, -2*r = 4*l - 30. Let v(z) = z**3 - 5*z**2 + 2*z - 6. Calculate v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.9. Let i = 2621 - 2616. Put i, 0.02, d in descending order.\nAnswer: i, d, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307138 and 39130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/(-240)*3\/((-2)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4 + 2 + 3 - a - 5. Let v be h(-5). What is the smallest common multiple of 0 + (-5)\/(0 - v) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -83564*l + 2089104. Calculate t(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 2252*r - 26448.\nAnswer: -4*(r + 12)*(r + 551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -54*u**3 + 1880*u + 1924. Differentiate p(v) wrt v.\nAnswer: -324*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*b = 154*b - 2*r + 4089, 3*b - r - 4071 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27957*-34\nAnswer: 950538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 + 10*j**3 - 30*j**2 + 38*j wrt j.\nAnswer: 24*j**2 + 60*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 3*d**4 - 5*d**4 + (9*d - d - 2*d)*(0*d - 2*d + 3*d)*(6*d**2 + 39*d**2 - 2*d**2).\nAnswer: 249*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -191670 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 1270.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 27984?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzq when four letters picked without replacement from zxqzh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 - -47.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) -4 (c) 3\/5 (d) -1 (e) 8 (f) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2955 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/3*-4)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*15\/(-35)*(-63)\/54\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 42282056 to the nearest one hundred thousand.\nAnswer: 42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 886, 1789, 2694, 3595, 4486?\nAnswer: 5361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - t + 51 - 48 + 6*t**2 to the form a + j*t**2 + c*t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 450428 and -1672.1.\nAnswer: 448755.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8096, 1, -3\/28?\nAnswer: -8096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-25)\/(-30))\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0*d - 7\/20*d**5 + 1\/70*d**7 + 0*d**6 - 3\/4*d**4 + 0 + 46*d**2 + 0*d**3. Suppose s(v) = 0. What is v?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1020833219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.9052 - -398443\nAnswer: 398444.9052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1, -0.1, 0.5, 126, 8?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -339 - -4409\/13. Sort -0.2, -6, q in ascending order.\nAnswer: -6, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 0*t**5 - 3*t**5 + (t**3 - t**3 - 2*t**3)*(-2*t - 3*t**2 + 2*t) + (-3*t**4 - 2*t**2 + 2*t**2)*(-18*t + 64*t + 70*t).\nAnswer: -343*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0753 + -10.9447. Let q = j - -11. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-12)\/f)\/(f\/f**14))\/(f*f\/(f*f**(-4\/9)*f))**(2\/135) assuming f is positive.\nAnswer: f**(1207\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.24941322 and 1.\nAnswer: -5.24941322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (45\/27)\/((-45)\/(-108)). Let b be 22\/4 - (-1)\/(-2). Solve -4*r + b*r + 5*a - 10 = 0, o*a = 5*r + 37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(704) + 4 + -2*sqrt(704))**2.\nAnswer: -384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4059239 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a century in months?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39727951 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163996, 164047, 164132, 164251, 164404, 164591, 164812?\nAnswer: 165067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/3)\/(1850\/1332).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 12*r - 37. Let y be t(9). Let z be (y\/(-35))\/(3 - (6 + -5)). Sort 3, -1\/3, z, 9.\nAnswer: -1\/3, z, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*w - 461*w = 976 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*q + 400*q = -200. Do q and -41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**2 + 8*s + 25. What are the prime factors of c(-4)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -189464296897.\nAnswer: -189464296896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-687*t**2 - 669*t**2 + 1207*t**2) as v*t**2 + l*t + k and give v.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 244*r + 2577. Calculate g(12).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67024 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: (28\/8)\/(((-91)\/14)\/(-13))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = p - 0*p, 2*z - 2*p + 6*p + 14 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (2 + (-45 - -21))) + 2 + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + -47. Calculate the remainder when 43 is divided by (o\/2)\/5*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.068335 months to decades.\nAnswer: 0.242236125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 9*l - 24*l + 10*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -35 - 161. Suppose 4*d - 31 = -k, 0 = d + 3*k - 15 - 1. What is the greatest common factor of d and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201 + 382. Calculate the remainder when v is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6972881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 8*n + 19. Let l be g(17). Suppose l = 2*j - 1183. Is j 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 vrzzvvvrcrvvvvcvvvvz. Give prob of picking 2 r and 1 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/1 + 283. Let t = 493 + -336. Let d = l - t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28063 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: Expand 1 - c - 1 + 2*c - 1 + 1 + c + 1 - 1 + (0*c + 2*c + 0*c)*(0 + 1 - 2) + c - 4 + 4 + 3*c - c + c + (-1 - 3 + 3)*(-c - c + 0*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:19 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**4)\/w**(-4))**(-45))**(2\/13))**(1\/16) assuming w is positive.\nAnswer: w**(-405\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5022715007\/1825612 + -2\/456403. Let a = 65971\/24 + o. Calculate the common denominator of a and 35\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23976 and 222.\nAnswer: 23976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/815 and -27\/323000.\nAnswer: 52649000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -0.1, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 477 or 474?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 300.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (2 - 0 - 6). Suppose b - k*l = 2*b - 11, -b + 5*l = 21. What is the units digit of b\/(2\/2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*t**2 - 57*t - 71*t + 89*t in the form b*t + z + j*t**2 and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - n**3 + 294*n + 26 - 29.\nAnswer: -n**3 + 294*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20001122 (base 3) to base 10.\nAnswer: -4418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:46 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/5))\/(c*c**2))**(-36) assuming c is positive.\nAnswer: c**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 < -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**2\/2 + 79*m + 6. Let o be h(-30). Suppose d - 3*z = 1 + o, 4*z - 189 = -3*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 180*o**3 - 176*o**2.\nAnswer: -4*o**2*(o + 1)*(o + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 4 - (-1 - -2). Suppose -2*m - 8 = i - 3*i, 3*i - 5*m - 8 = 0. What is the smallest common multiple of (-2)\/(-4)*(l + 3) and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 10*g - 4. Calculate t(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -32*j - 49. Let h be t(-2). Suppose -a = -h*a + 98. Solve 0 = -a*l + 3*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:15 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*m**3*x - 3*a*m**2*x + a*m*x + 2*a*x + 4*m**3*x + 10*m wrt m.\nAnswer: -12*a*m*x - 6*a*x + 24*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + 8\/(-16). What is the units digit of -9 + 7 - (f + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4978 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*u + 71*u - 204800. Does 131 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, 2\/193, -3, 0.3 in increasing order.\nAnswer: -29, -3, 2\/193, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49662.\nAnswer: 2, 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 6, -5*v - 5*u = -2*v - 98. Suppose v = 7*o - o. Calculate the lowest common multiple of 10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.089 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 + 56630747*t**2 + 2*t - 498957592 with respect to t.\nAnswer: -3*t**2 + 113261494*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 17*w + 221. Is w bigger than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 7) to base 9\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 2*c + 1. Let p be k(1). Let h be (6\/(-3) - 1) + -149. Let m = h - -763\/5. Is p less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4171 and 1649.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -1273272.3163.\nAnswer: -1273271.9163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*f - 132 = 0, 0*c + 3*f = -4*c + 156. Is 10 a factor of 6*176\/c - (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 8*j**2 + 9*j - 4. Let u be y(9). Let g(s) = 2*s**3 - 5*s**2 + s - 4. Let x(i) = i**3 - 4*i**2 + i - 3. What is u*x(t) + 3*g(t)?\nAnswer: 2*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from lzcon.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322 - -210?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + (-2450)\/3. Let u = 16425\/11 + -1497. Calculate the common denominator of u and (-4)\/(-22) + s\/(-110).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 8466 = 7*p. Is (-2304329)\/p + 4\/(-34)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 24. Suppose 3*h - 9 + g = 0. Solve h*f = 3*q + 9, 7*q = -4*f + 2*q + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -973592 take away 0.3?\nAnswer: -973592.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -8.\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -95, -214, -381, -596, -859, -1170?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -108, -226, -410, -678, -1048, -1538, -2166?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 52*m - 381. What is c(7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 11*v + 213. Let p be h(-10). Differentiate -276 - 290 - 2*b**p - 274 + 783 - 12*b with respect to b.\nAnswer: -6*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 0*u - 13 = -5*u, -4*z + 2*u - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -37. Let o be y\/21 + (-2)\/(-7). Let s = -2.69 - -2.89. Which is the nearest to o? (a) s (b) 2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 13*a + 15 = 0. Suppose 0 = -a*b + 5*w + 50, b + 10*w - 4 = 5*w. Let j = 1 - 0. Is b at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 + 2 + 0*i**2 + 0 + 8*i. Suppose o = -3*o + 32. Let d(c) = -4*c**2 + 5*c + 1. Let n = -15 + 10. What is n*t(u) + o*d(u)?\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6444\/11? (a) 0.17 (b) -45 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -230 in 0.3, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13990992 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let u be a(2). Find the second derivative of -24*v + 0*v - 41*v**u + 11*v**2 - 3*v wrt v.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 7 - (-130 - -174).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000996972 to five dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/2 - 132*l**2 + 11616*l - 340736 = 0. Calculate l.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7546 = -221*z + 67*z for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 3388774860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1585, -2 in increasing order.\nAnswer: -4, -2, 1585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1465.479 at most as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/100 and 49\/28406275.\nAnswer: 113625100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 1110001?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0111 * -0.7.\nAnswer: -0.00777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 943 + -938. Solve -q + 2*m = -t*q + 18, -3*m = -9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 566 = d - 170, 2*u = 2*d + 152. Suppose 0*a + u = 2*a. Calculate the smallest common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146577*k**2 + 7147 wrt k.\nAnswer: -293154*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:30 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -929 + 3*q - q + 1050. Does 18 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5 + 1 + 0 + 1 + (3 - 3 - 1)*(-1 - 2 + 5))*(-2*u - 4*u + 5*u)*(13 + 4*u - 13).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:46 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*(sqrt(768) + 1*sqrt(768) + sqrt(768)))\/(((sqrt(6) - sqrt(54))*-6 - sqrt(6)) + -5*sqrt(6)*-1))**2.\nAnswer: -45*sqrt(2) + 131\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2 + sqrt(20))**2 - (sqrt(5)*-1 + -2)**2 - ((sqrt(50)*-1)\/sqrt(10) - (1 + sqrt(20))**2)) + 5.\nAnswer: 9*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) 44.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 + 7958*x\/11 + 2172.\nAnswer: -2*(x - 3982)*(x + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*r**4*y - 24142*r**4 - r**2*y + 172*r**2 - 33312*r*y wrt r?\nAnswer: 4104*r*y - 579408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 12. Let p be g(-7). What is the remainder when 15 is divided by 9 - (2 - p\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 2. Let o(l) = -3787*l. What is o(h(q))?\nAnswer: -7574*q**2 - 7574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*c + 16, -4*p + c = -c - 32. Suppose 5*j + 7 = 2*w, 3*j = 2*w - p - 5. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 40. Suppose 3*d + w - 5*w - u = 0, -5*d + 4*w + 95 = 0. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:51 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 - 23 = 3*w, -n - 22 = 4*w. Let b(m) = m**2 - 5*m - 1. Let p be b(n). Suppose -g = 4*g - p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 6*i - 6*i + (3 - 2 + 1)*(-i + 0*i + 2*i))*(5 - 6 - 9 + (-6 + 2 + 3)*(-4 + 1 + 1)).\nAnswer: 128*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7407, 29881, 67337, 119775?\n\"Answer: 7491*s**2 + s - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2) + 2 - -33. Let w = x - 29. Let b(a) = a**2 + 6*a - 9. Let u be b(-8). Solve -w*d + u*d = -20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8825\/6228 - 48\/173. What is the common denominator of i and 91\/1068?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3 - (-2)\/(-3). Let c be 4\/(-9) + 220\/90. Suppose 4*r = 3*q + 5, c*q + 10 = 4*r - 0. Sort 2, d, r in descending order.\nAnswer: r, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.41 + -2.51. Let r = g - -2.10015. What is r rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(605) - (sqrt(605) + 1)) + -5 + ((sqrt(605) + 1*(sqrt(605) + sqrt(605) + 0) - sqrt(605))**2 - (sqrt(605)*-1 + sqrt(605) + 4 - sqrt(605))) + -3.\nAnswer: 11*sqrt(5) + 2414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-4) + -6 + -1. Suppose 0 = -i*a + 36 + 134. What is the remainder when 246 is divided by a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + u + 24 = 0, 5*t + 2*u - 51 = 0. Let b = 340 + -320. Suppose -b*i = -39*i + 171. Calculate the greatest common divisor of t and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (237\/198)\/(1\/(-3)) and 67\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -208*j + 194*j + 42. Let i(y) be the second derivative of 1\/4*y**4 + 0 - 7*y + 0*y**3 + j*y**2. Differentiate i(r) with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 2*k**4 + 0*k + (0 - 2*k + 0)*(-2 + 3 + 5)*(k**3 - 4*k**3 - 3*k**3).\nAnswer: 74*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 57. Let m(o) = -2*o**3 - 3*o**2 - o. Let f(y) = y. Let g be f(-5). Let d(j) = -3*j**3 - 5*j**2 - 2*j. What is g*d(x) + s*m(x)?\nAnswer: -x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -118a - -29543?\nAnswer: 28364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**6\/60 + j**5\/30 + j**4\/12 - j**3\/3 - 9*j**2 + 4. Let q(w) be the second derivative of k(w). Find g such that q(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(2\/(-1) + 3 - 1). Solve -3*l - 12 + 0 = x, 0 = -2*s + 2*l + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1. Let b(a) = 8 + 7*a**2 + 2*a**2 - 8*a**2. Let n(u) = -3*b(u) + 24*v(u). Let m(i) = -12*i**2. Calculate m(n(z)).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 6*c + 7. Let j(k) = -k**2 + 19*k - 11. Let g be j(18). Let l be w(g). Suppose l = 2*f + 3*f - 40. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070 (base 10) in base 4?\nAnswer: 1132312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a**(-1\/4))\/(a*a*a**(-2\/11)\/a*a*a**(2\/19)) assuming a is positive.\nAnswer: a**(-1399\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 4693.3\nAnswer: 4692.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 18*u - 22*u. Put 5, 0, -3, u in descending order.\nAnswer: 5, u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632 and 714.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*k - 6, 0*k = -4*k - 3*w + 6. Suppose k = 11*p - 5949 - 301402. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*w**2 + 91*w**2 + 246*w**2)*(6*w**2 - 3*w + 3*w).\nAnswer: 3210*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a6 (base 13) in base 16?\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1212 and 707?\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -475 bigger than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4724780984?\nAnswer: 2, 7, 11, 1481, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + 0 - (1 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624)*-2 - sqrt(624))\/(1*sqrt(9)\/sqrt(3)) - (-4 + (sqrt(13) - (sqrt(78)\/sqrt(6) + sqrt(13) + sqrt(13))) + (sqrt(156)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: -88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -2bdc?\nAnswer: -2c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*d**4 + 0 + 16\/15*d**2 + 8\/5*d - 2\/15*d**3.\nAnswer: -2*d*(d - 3)*(d + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(11)*-2*-3 + -5 - (2 + (sqrt(44)*-2)\/sqrt(4) + -2 + sqrt(44)\/sqrt(4)).\nAnswer: -5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1261 = 92*g - 1039. Let v = -106 - -202. What is the remainder when v is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -426 - -425. What is the closest to -2\/5 in 28, 0.3, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404555 (base 6) to base 4.\nAnswer: 13312313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -38*q + 5050. Determine x(123).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1489464 rounded to four decimal places?\nAnswer: 0.1489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310027333?\nAnswer: 7, 11, 4026329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 4, r: 2, q: 5}. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 867 = -5*u, 0 = -5*y + u + 4387. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/101 - -331\/707. Let t = -1 + 2. What is the biggest value in r, 1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46103541)\/(-1129051) - 2\/(-86)) + 0 + -24?\nAnswer: 118\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6926 and 0.1.\nAnswer: -692.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - v = -3655, 7*z = 2*z - 4*v - 3680. Let f = z + 732. Solve f = -3*l + 3*k - 15, 5 = l + 2*k - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d. Let o(z) = -5*z**2 + 3*z. Let q(a) = 24*a**2 - 14*a. Suppose 3*s - 38 = 5*c - 11, -1 = 3*c + 2*s. Let j(b) = c*q(b) - 14*o(b). Give j(t(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/70 - 51\/10. What is the common denominator of -69\/4 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6498 and 5166.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2831 divided by -2\nAnswer: 2831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2145026 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oootdoooodot. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3 - 3*i - 6*i + 3*i - i**2 + 1. Let t be v(-4). Suppose -2*g + 3*b + 320 = 0, -t = 5*b - 2. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 9) to base 3.\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457687 is divided by 10640.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3449 + -3444. Solve -2*n + 3*y + 7 + 3 = 0, 0 = s*n + 2*y - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(13) + (sqrt(325) + 0 - sqrt(325))) + ((-1*(sqrt(117) - sqrt(117)*2) - sqrt(117)) + sqrt(117))\/(sqrt(45)\/(sqrt(10)\/sqrt(2))) + 5.\nAnswer: -13 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 0 + (0 + sqrt(304) - sqrt(304))**2 - 3*2*sqrt(304)*-5).\nAnswer: 3 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*u + 4 + 114 = 0, -3*c - 3*u + 69 = 0. Suppose 3*n - i = 22, c = 3*n - 2*i - 3*i. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6 + 6. Let r be 10\/(-6)*(1 + l). Suppose -r*b = 4*d - 39, 0*d + 2*d - 47 = -5*b. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(1377) + sqrt(1377) + 1)*-1 + (sqrt(1377)*1*-5 - (3 + (sqrt(1377) - (-2 + sqrt(1377))) - sqrt(1377))))**2 + 1.\nAnswer: -648*sqrt(17) + 198298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36335680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, c: 3}. What is prob of picking 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41584425*h - 552 = -41584333*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + x**2 + 0*x**2 + (x - x - x)*(0*x + 2*x + 0*x + (-1 + 2 + 0)*(-3 + x + 3) + x - 2 + 2 - 1 + 1 + x - 4 + 4 + 2*x - 2*x + 0 + 0).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, 260.2, 2, 0.4, -40, -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5 + 6*j**4 + 20*j.\nAnswer: -40*j**3 + 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8.79. Let p = 0.209745 + v. Round p to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -26. Suppose -3*t - 2*t + 725 = g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55548 take away 0.077?\nAnswer: -55548.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 5 - 3 + 7*a)*(2*a**4 + 3 - 3) + (-2*a + 2*a - 2*a**5)*(-2 + 1 + 2).\nAnswer: 2*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-3)\/12. Let w = 0 + 2. Suppose 11 - 3 = w*x. Sort u, 3, x in increasing order.\nAnswer: u, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 26325163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -488279 (base 10) to base 9.\nAnswer: -823712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2011\/14 + 1009\/7. Suppose -v*o**3 - 13\/2*o**2 - 11\/2 - 23\/2*o = 0. Calculate o.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6493 or -12683?\nAnswer: -6493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 3*p + 1. Let w be q(4). Let c = w - 0. Let i(u) = -u + 10. Let h be i(8). Put h, 0, c in ascending order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/69167 and 19\/14613999.\nAnswer: 102297993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -15 in descending order.\nAnswer: 1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067992 is divided by 213596?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -940000 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83286.\nAnswer: 2, 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187\/138 + 1\/46. Sort -0.3, -2, n, -5 in increasing order.\nAnswer: -5, -2, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-91*(-124)\/(-1302))\/((-66)\/(-9))\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67743489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbub. Give prob of picking 1 u and 2 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70425933 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 13 - (-241 + 247)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v)\/v)\/v*v**5*v**(1\/2)*v*(v*v\/(v**(5\/3)*v))\/v*v assuming v is positive.\nAnswer: v**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let w(y) = 2707*y**2 - 1634*y. Give v(w(d)).\nAnswer: 13535*d**2 - 8170*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7723?\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16*x**2 + 31*x + 211. Is 39 a factor of v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/65 (b) 3 (c) -0.3 (d) 0.2 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {a: 4, w: 4, c: 1, z: 7, q: 2, o: 2}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**16\/(x*x**(1\/4)\/x*x*x**(-6)))**(6\/7) assuming x is positive.\nAnswer: x**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1617c692?\nAnswer: -1617c694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7925.584053 to the nearest 100.\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)**17\/(f**(-4\/9)*f**(-2\/5)*f))\/(f*f\/(f*f**(1\/5))*f*f*f**(-8)*(f*f**(-2\/9)\/f*f)\/f*f**7\/f*f) assuming f is positive.\nAnswer: f**(229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-7)\/(-2). Let n be -3*(o - 13\/(-4)). Let r = -1\/2 - n. Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 65174*j + 586728.\nAnswer: -2*(j - 9)*(j + 32596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 233 - 207\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 28, 102, 250, 496?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6849719 is divided by 6536?\nAnswer: 6527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*m + 15*m + 5*m)*(4 - 30 + 3)*(-5*m + 3*m + 6*m) to n*m + v*m**2 + s and give v.\nAnswer: -3404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615 and 32029200?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71.5 - -7. Let y = i + -76.5. What is the nearest to 2\/7 in 3\/4, -0.3, -0.4, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(1008) + -1*sqrt(1008))*-6 + (sqrt(1008) + -5 + 1 + sqrt(1008) - sqrt(1008))) - (-5 + 0 + sqrt(1008) + 4 + 2))**2 + 0.\nAnswer: -3000*sqrt(7) + 25825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12654255 is divided by 12654231?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, -2, 1317.\nAnswer: -2, 9\/4, 1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 291, 1016, 2153, 3696, 5639, 7976?\n\"Answer: -w**3 + 212*w**2 + 96*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**4\/4 + m**2 - 1304. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 21 = -5*r, 0 = 5*r - 4*c + c + 17. Let j(t) be the third derivative of t**5\/60 + t**4\/12 + t**2. What is the units digit of j(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3862562 is divided by 965563.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-6)*260\/325?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -0*p + 2*p. Suppose -x + 6*x + 35 = -5*i, -4*x - 33 = 5*i. Let w be 204\/15*i\/(-2). Calculate the greatest common divisor of w and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/529 and -80\/483.\nAnswer: 11109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r**2 + 1)*(-3*r + r + 0*r) + (0*r**2 - r**2 - r**2)*(-3*r + 4*r - 2*r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 15*a**2 - 4 + 9862*a - 9862*a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -5*s**2\/2 + 5*s + 100. Differentiate h(a) with respect to a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -172 (b) -8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let q(p) be the first derivative of 44*p**3\/3 + 3*p**2\/2 + 179. What is s(q(y))?\nAnswer: 44*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24970 is divided by 3406.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2245 in increasing order.\nAnswer: -5, 4, 2245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v - 5. Let q be 1\/(-3)*(-3 + 0). Let a be 5 - 5 - (q - 1). What is w(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 189\/5? (a) -30 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*1\/(-2) + -2801. Let b = a - -4945. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 458 - 475. Is p less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9101.61 meters to centimeters.\nAnswer: 910161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 16 - (-3 + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:06 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + -3 + (-3*(sqrt(272) + 0 + sqrt(272) + 2) - -2*(sqrt(272) + 0 - sqrt(272))*3)))**2.\nAnswer: 19008*sqrt(17) + 356868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -2, 1, -0.38, -0.4, 1\/29 in ascending order.\nAnswer: -2, -0.4, -0.38, 1\/29, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86024 or 86017?\nAnswer: 86024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.98 - 45.5. Let o = -4.51809 - v. What is o rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001005 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -24. Suppose 3*c = 4*c - 1. Let d(z) = -5*z**2 + 6*z. Let b(r) = -r**2 + r. Give c*d(o) + j*b(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.9 + 27. Let l = z - -2.9000011. What is l rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10930\/1417 - 38290297\/5118204. Let h = f - -1\/172. Calculate the common denominator of 67\/15 and h.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-410) - 1121952\/16523\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u - 4*t + 116, -3*u + 73 = -t. Let c = u + -18. What is the derivative of 0*g + c*g - g + 0 - 1 wrt g?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14350 and 11890.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 14 + 9*f + 1\/2*f**2. Let p be m(0). Solve -4*n = 5*a - 13, 3*n - p = -0*n - 3*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/5 + 7084*t**3\/5 + 923472*t**2\/5 + 8092480*t + 592199168\/5.\nAnswer: (t + 44)**3*(t + 6952)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011 - -1?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15638.000015758 + -15638. Round p to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*y + 3*y - 2*x, -5*y + 50 = -3*x. Let a = y - 55. Let m be (-9)\/a - (-11999998)\/10. Round m to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 953 + -871.4. Let c = l - 71. Let g = c - 9. Round g to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 223.939, 0.1, -16, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2005*z + 107. What is the units digit of h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 4. Let c(y) = 4*y + y + y**2 + 14 + 8*y. Let s be c(-12). Sort -5, m, s in ascending order.\nAnswer: -5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q - 3*l + 315506, -5*l + 252397 = 4*q. Suppose 6*o - q = -18241. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2*p - 42, 35*f - 9*p + 94 = 33*f - 33*p for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*o**2 + 3659*o - 3659*o + 107*o**2 in the form l*o + j*o**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252076 is divided by 4421.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 55*h + 278. What is j(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 14. Let n be s(-3). Let l be (2 + (-77)\/35)\/((-4)\/n). What is the biggest value in 4, -3, l, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b + 2*n - 11*n + 103, 27*n - 22*n = -2*b - 33 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 353+-3.098598\nAnswer: 349.901402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 5*r**4\/4 + 2*r**2 - 22*r - 78. Find the first derivative of y(w) wrt w.\nAnswer: 15*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1)*4\/44. Suppose -23 = -4*h + 4*j + 5, 0 = 2*h - 5*j - 29. Which is the fourth biggest value? (a) -0.2 (b) g (c) h (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 + 6)*(473*q + 365*q - 342*q + 547*q + 684*q).\nAnswer: 6908*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w - 23. Let f be u(-6). Suppose 233 = f*j - 579. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -48*b + 13. Let d = -33 + 20. Let o(m) = 24*m - 7. Let g(w) = d*o(w) - 6*h(w). Differentiate g(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-6660)*-40*(-46)\/(-2)*12\/8?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*o**4 + 17*o**3 + o + 26869 with respect to o.\nAnswer: 488*o**3 + 51*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4473 - 4453. What is the greatest common divisor of m and 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + (-84)\/16. Let l be (d - -6)*(-1 - -4). What is the third derivative of 4*g**2 + 5*g**3 + 0*g**l - 7*g**3 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/3 + 3*v**2\/2 - 4*v - 24. What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005407331 to seven decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4529702460 to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2 - 2) + (-5 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14398 - 13930. What is the greatest common divisor of l and 567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 0.9. Let p = 8 + q. What is the nearest to 1 in -0.4, -2\/13, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/4 - 5\/12. Let m = -0.8 - -1.8. What is the nearest to l in 0.1, m, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -o - 516, -255 = -5*h - 3*o + 257. Suppose -2*p + h = 21. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -429*j - j**2 - 430*j + 859*j. Let u(m) = -3*m + 144. Determine u(i(c)).\nAnswer: 3*c**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 113, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10241 + -21241\/2. Let k = -381 - y. Which is the second smallest value? (a) -4 (b) -11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-55)*(-748)\/(-544)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9 and 38\/118010325?\nAnswer: 354030975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose h - k = 1. Suppose 100 = h*y + 22. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 12. Let u = 14 + g. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 4*f + 118583 - 118535, 5*i - 114 = -8*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.778468 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.8 + 91.2. Let a = -57 + b. Let s = -48.0024 + a. Round s to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/(-352)*(-8)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.254 + 4.144. Let v = -0.11 - m. Which is the smallest value? (a) v (b) -1\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183384 - 6685. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 6. Let r = 12 - 20. Let z = 212 + -171. Calculate the remainder when z is divided by n(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-5\/2)*g*g**(-5)*g**(-2\/15)*g*g\/g**(3\/5) assuming g is positive.\nAnswer: g**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 6*v**2 - 9*v**3 - 3*v**3 - 9*v**2 + 9*v**4 = 0. Calculate v.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (58 - 52)*(-4)\/6. Let y(g) = 8*g**2 - g - 1. Let n be y(-1). What are the prime factors of ((-316)\/n - a)*-2?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 393, 411, 429, 447?\n\"Answer: 18*r + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**3 + 8589*s**2 + 4296*s.\nAnswer: -3*s*(s - 1432)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/5 + 16086*h**4\/5 + 5795556*h**3 + 17936274366*h**2\/5 + 717733684809*h\/5 - 735698953044\/5 = 0. Calculate h.\nAnswer: -1773, -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -49473842125827?\nAnswer: 49473842125827.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4683978.\nAnswer: 14051934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, 3\/7, 0.65?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -2*n - 28, -2193*n - 8 = -2189*n + 2*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 - 1243*x - 97822. Calculate m(268).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2656905892 - -1.63.\nAnswer: 2656905893.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -4, -4, 0, 8, 20, 36?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 0, -159, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/9 (c) -287 (d) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03095692 to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 4*i - 42. What is the least common multiple of 1 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3839 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:46 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -2, -1, 2 in descending order.\nAnswer: 2, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47952105 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100*g - 20450627 = 1029*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 11, 1\/4, -0.5, 42\/251, 0.3?\nAnswer: 42\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 6\/23, 2\/7, -10, 1 in decreasing order.\nAnswer: 5\/3, 1, 2\/7, 6\/23, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26689737?\nAnswer: 3, 19, 468241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2457 = -2281, -1380*n - 3*c = -4272 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 5) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*i - 11 = -25, 2*i = 4*q - 12. Suppose -4*z - 12 = -4*a, 0 = -2*a + 2*z + 2*z. Solve q = a*m - 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57906 and 160850.\nAnswer: 1447650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1041303 + 4?\nAnswer: -1041255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 16990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71058866.6809 and -0.2?\nAnswer: 71058866.4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -0.28 (c) 3.91 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0) + 2 + 0. Sort -1, -4, p in ascending order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 837109?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)*o**(1\/4)*(o**2)**(-1\/3) assuming o is positive.\nAnswer: o**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2*r**2 - 5*r)*(-24*r**3 - r**3 - 18*r**3 + (3 - 3 + 3*r)*(-4*r**2 - r**2 + 3*r**2)).\nAnswer: 98*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let y(f) = 0*f + 10*f + 5 - 9 + 3. What is 22*i(z) + 2*y(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3213313 + 21230?\nAnswer: -3132023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.422 rounded to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21085387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -63)\/(-4)*-1*1. Let a(u) = -81*u**2 + 1. Let f be a(1). Let o be ((-384)\/(-80))\/((-6)\/f). What is the greatest common factor of o and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 6*n. Sort -2, n, 3 in decreasing order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4fd49 (base 16) to base 13\nAnswer: -b5aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 12:10 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i + 1. Let c(f) = f. Let r(j) = 217*j**2 - 5*j. Let v(z) = 3*c(z) + r(z). Let x be v(i). What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1013230 (base 4) to base 13\nAnswer: 211c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/44 and 59\/8277020.\nAnswer: 91047220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.3. Suppose 11 - 1 = 5*k. Let m be k\/90 - 20\/90. Put x, 1, m in increasing order.\nAnswer: m, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10 + ((-924)\/238 - (-4)\/(-34))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(176)*-1)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.83661 to 3 decimal places.\nAnswer: -2.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w + 3*w**3 - 1 - 4*w**2 - 6*w - w**4 + 5*w**2 to z*w**2 + l*w**3 + s + f*w**4 + t*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.07, -13.5, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19857569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 - 0.6. Let z = 3 + 2. Let k = 4.7 - z. What is the nearest to 0.1 in k, y, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -17. What is the least common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1188*s**2 + 4 - 10 + 1190*s**2 + 6.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 11*k - 14 + 1\/2*k**2. What is g(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17655.\nAnswer: 3, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -156, -557, -1186, -2031, -3080, -4321, -5742, -7331?\n\"Answer: 2*y**3 - 126*y**2 - 37*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, -15.\nAnswer: -15, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9072 = -7*a. 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: What is 1372287 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284194 and 276?\nAnswer: 39218772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x - x + 3*x**2)*(-17*x - 16*x - 6*x).\nAnswer: -117*x**3 + 78*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/8*(1 + 3). Let v = g + 15. Determine k so that 74*k**2 + 6*k**3 + 7 - 48*k - 48*k**3 + 1 + v*k**4 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*x = -237*x - 2733. Let b = x + -781. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -0.66688.\nAnswer: -26.00832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 5*r**2 - r + 6*r**2)*(-r**3 + 3*r**3 - r**3).\nAnswer: -r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35104, 70193, 105280, 140365, 175448?\n\"Answer: -a**2 + 35092*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.02 (b) -61 (c) -275 (d) -2\/37 (e) 0 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 18*i + 108. Give s(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -35 - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9837 times 0.02\nAnswer: -196.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38c7 (base 13) in base 4?\nAnswer: -1332222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -51 in decreasing order.\nAnswer: 4, 2, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6167\/2 - -2966. Let s = l - -465\/4. What is the fourth biggest value in 2\/9, s, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 89*h + 38 = 153*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*5770809.\nAnswer: 40395663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**4 + 0*u**3)*(-2*u + u - 3*u) + u**5 + 2*u**5 - 6*u**5.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 plus -0.6398?\nAnswer: 52.3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51556711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 4*m + 12 - 37 + 17 to the form q*m + c*m**2 + g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 696 + -712. Let a be ((-9)\/(-72) - 414\/l)\/1. Suppose 2*j + 39 = 5*j. What is the greatest common factor of j and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.1 + 4.5. Let h = 23.1 - m. What is the third biggest value in -3\/7, h, 3\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1782\/(-462) + (-7)\/(-14)*8. Let g = -6 - -11. Which is the second biggest value? (a) -7 (b) 3 (c) t (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361241249 - -3.04?\nAnswer: 3.401241249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 20 = v, 0 = -4*v + 5*v + 2*s + 4. Find the second derivative of z**4 - 2*z - 3*z**v + 0*z**4 + 0*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-9)\/m)\/m)\/m)\/m**0)\/((m\/m**(6\/5)*m)\/m**(-11)) assuming m is positive.\nAnswer: m**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 16*a + 38)*(421 - 282 - 575 - 1330).\nAnswer: -28256*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6316867 is divided by 2542.\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(64) + sqrt(4)) - sqrt(11)) + sqrt(11) + sqrt(11) + 3 + sqrt(176) + sqrt(11).\nAnswer: 3 + 31*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 4*q - 4*p, -q + 15*p - 9 = 6*q - 198 - 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 30 - 4*d**2 + 2*d**2)*(0*d + 6*d - 2*d).\nAnswer: -8*d**3 + 128*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -289515*x - 579043. What is s(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 361330.7 millennia?\nAnswer: 3613307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 33 + 5. Let j = 7 + i. Solve -x = -j + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -911\/168 + 29\/24. Calculate the common denominator of 50\/579 and s.\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 39. Let g(x) be the second derivative of x**3\/6 + 34*x + 2. Determine j(g(f)).\nAnswer: f + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*g + 210, 5*v + 2*g + 71 = 335. Let s be (-5)\/(-2)*v\/15. Let c = -6 + s. Solve c - 1 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:06 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -67. Let h = -15 - v. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:47 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g*o*y - 8*g*o - 4*g*y + 2*o*y + 3*o + 1297*y wrt g?\nAnswer: 3*o*y - 8*o - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7) + (0 - (-195)\/(-357))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 34. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -2*t. Let m(q) = -20*q + 143. Let h be m(7). Solve -h - 3 = -t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Find the third derivative of c*i**3*m**3 + 379*c*i**3*m**2 - 4*c*i**2*m + 6*c*i*m**3 - 8*c*i*m - 14*i**2*m**3 wrt i.\nAnswer: 6*c*m**3 + 2274*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Suppose -4 = -4*z + 2*q, 3*z + 5 = 8*z + 4*q. Let x(j) = -3*j + 6. Give z*x(v) - 4*m(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4307*m**3 + 5*m**2 + 6. Let y(w) = -6461*w**3 - 8*w**2 - 10. Calculate -8*h(i) - 5*y(i).\nAnswer: -2151*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -2\/33*s**3 + 16\/11*s**2 - 5 - 128\/11*s. Factor a(x).\nAnswer: -2*(x - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87805 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4 - 2)*-14. Suppose l - i*l = -24. Solve -l*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i)\/(i*i*i**0)*i*i**3*i*i*i*i**(2\/7))**(1\/64) assuming i is positive.\nAnswer: i**(-5\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 4*n**5 + 31*n + 9. What is the derivative of a(o) wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 374090 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 + 1901\/8. Calculate the common denominator of b and -151\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 191*x + 24426. Give a(-94).\nAnswer: -2364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 11*x + 47. Let s(q) = 9*q**2 + 9*q + 47. Let v(g) = 4*c(g) - 3*s(g). Determine v(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/15, 1\/2, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 823*q + 460*q - 328 + 1541*q wrt q.\nAnswer: 2824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185099161 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -f23 (base 16) in base 10?\nAnswer: -3875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/100 - 9*n**4\/2 + 810*n**3 + 10*n**2 + 11. Let q(l) = 0. What is l?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*z - 78, -4*z + 0*z + 148 = 2*v. Let w = v - 14. Let f be 14\/(-18)*(-32)\/w. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 + -4 - -5. Suppose -10 = -b*l - 2*l. Solve 3*o - l*o = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 3 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -21, -36?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 2*d + 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7750, -15603, -23336, -30949, -38442, -45815?\nAnswer: -53068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3929725, -7859480, -11789235, -15718990, -19648745, -23578500?\nAnswer: -27508255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/8 - 141*l**3\/4 + 9*l**2\/8 + 1269*l\/4.\nAnswer: -l*(l - 3)*(l + 3)*(l + 282)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-16)\/18*-3. Let r = 31 + s. 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: Suppose 20 = -0*f + 5*f. Suppose 0*i + 175 = f*l + i, 5*i = -5. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3420?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**9\/((f**(5\/2)\/f*f)\/f*f*f*f**(-1)))\/((f**(1\/2)\/f)**(-24\/5)\/(f*f*f**(-2)*f*f*f**(-2\/11))) assuming f is positive.\nAnswer: f**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*n**3 + 24*n**3 + 25*n**3 + n**3 + 2*n**3 - 2*n**3 + (0*n - n + 0*n)*(-6*n**2 + 4*n**2 + n**2) + 5 - 5 + 3*n**3.\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*m + 89917 - 35629 = 0. What is the remainder when m is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780362.4 millilitres to litres.\nAnswer: 780.3624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*l - 49 = 0, -3*l + 0 + 6 = 0. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1543.3 - 1543. What is the nearest to r in 2\/3, 5, -1, -10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03940213094 to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**4)\/x*x)**(-8))**(-15) assuming x is positive.\nAnswer: x**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 - 17*w + 18. Let d(j) = -2*j**2 - 6*j + 6. Let u(b) = 8*d(b) - 3*q(b). Determine u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85537 - -246213.\nAnswer: 160676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m - 2*m**2 + (-3*m + 2*m - m)*(-m - 2*m + 4*m) + m - m**2 - m + 28*m**2 + 18*m**2 - 56*m**2)*(5 - 1 - 3)*(5 + 5 - 3).\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 14. Suppose 11*h - q*h = 192. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1)\/(3\/((-156)\/10))*10140\/10816?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93\/446 - -2249\/2230. Put 5, 0.5, c, 3, -2\/9 in increasing order.\nAnswer: -2\/9, 0.5, c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-592)\/(-6956) + 14504\/1880.\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + 0. Suppose 0*b = b - 18. Let h = b - 8. Calculate the remainder when c is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28976243915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 90181192*g - 1016580923817608 = 0 for g.\nAnswer: 22545298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -61, -172, 6 in decreasing order.\nAnswer: 6, 5, -61, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/18*(116 + -2). Calculate the highest common divisor of i and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/1159 and -57\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*u - 3*p**3*w + 7*p**2*u*w - p*u*w + 12*p*u + 2*u*w wrt p.\nAnswer: -6*p*u - 18*p*w + 14*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16745*y + 5589*y + 5587*y - 302 + 5578*y as l*y + a and give a.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 70014.13 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose w*i - 2*i = -2*a - 6, 5*i = a - 27. Suppose o - 3*t - 5 = 0, -2 = -a*o - t - 13. Let q(f) = f**2 + 5*f + 3. Determine q(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54, 442, 1512, 3606, 7066, 12234, 19452, 29062?\n\"Answer: 57*b**3 - b**2 - 8*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7, 0.1, 2, 5, 4051, 6\/5, -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*r - 10, 2*r + 0*r - 11 = 5*w. Let m = w - -3. What is the third derivative of -3*p - 2*p**m + 3*p + p**3 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/216 and 109\/2124.\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -2)*(-14)\/4. Suppose 53 = 4*y - 3*l, 0*y + 26 = 3*y - 5*l. Suppose -u + y = -f. What is the remainder when 14 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -27*d + 11. Suppose -5*t + 50 = -5*o, -t + 0 = -5. Calculate the remainder when r(o) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + (-2 - -2) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19 and 237886?\nAnswer: 237867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26805 is divided by 8921?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -11*a**7\/840 + a**4\/24 + 7*a**3\/6 - 2*a**2. Let k(c) be the first derivative of w(c). What is the derivative of k(y) wrt y?\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181.0213, -2, -1, 0.\nAnswer: -181.0213, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyveevveyd. Give prob of sequence dj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10563354 (base 7) to base 5.\nAnswer: -214020244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**3 - 2*i**3 + 10*i**3)*(3*i - 3*i + 9*i) to d*i + v*i**3 + h*i**4 + j + x*i**2 and give h.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 18*w + 10. What is x(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -13*t - 1. Let m be b(-3). Suppose 3*h + 4*i = 196, -19*h - 5*i = -16*h - 191. Suppose r - m = h. What is the remainder when r is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {j: 1, w: 10, b: 1, l: 3, h: 1, k: 3}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*l + 131*l = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-18)\/(-30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/21)\/l)\/((l\/l**(3\/13))\/l*l)*(l**(12\/5)\/l)**(-32))**26 assuming l is positive.\nAnswer: l**(-127004\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 13*i**2 + 13*i - 3. Suppose -390*b - 12 = 3*n - 386*b, 0 = 4*b - 24. Determine q(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 19*w**2 + 42*w + 14. Let g be l(-21). Which is the nearest to -1? (a) g (b) 1 (c) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 plus -2087.0989?\nAnswer: -1912.0989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olmssdddtddsdsmms. What is prob of sequence lmdo?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a**3 + 75*a**3 - 16*a**3.\nAnswer: 106*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-3))\/(3\/60*4). Let i be 1 + 1 + 12\/(-4) + t. Solve 2*z - 4*c - 20 = 0, -i*c - c = -4*z + 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32620*f**6 + 306*f**4*u - 2027*f**2*u + 3280*f**2 wrt f.\nAnswer: -3914400*f**3 + 7344*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 7:43 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.3, -3, 7 in decreasing order.\nAnswer: 7, 0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 - 25*w + 4*w**3 + 9*w**3 - 89*w)*(0 - 4 + 2).\nAnswer: -14*w**3 + 228*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 11*w + 0*w + 6*w + 1.\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from xvfsusuxsffvvsxv.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.23 - 0.19. 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: Convert -200 (base 3) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 512556103*b**2 - 1193665924.\nAnswer: 1025112206*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 1. Let j(o) = -6*o**2 - 2*o + 2. Let g(v) = j(v) + 5*u(v). Let y(k) = k**2 - 6*k - 5. Let b be y(6). Give g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -747 + 749. Determine s so that -1\/3*s**y + 0 + 2\/3*s - 1\/3*s**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*y = 39, 4*y + 44 = -3*r - 0*y. Let s = 8 + r. Solve d - 4*z = -12, 5*d + 2*z - 3*z - 16 = s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 24*l**2 + 42*l - 37. Let b be g(-22). Solve b*z = 2*z + 2*y - 10, -3*z + y = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123102 + 102?\nAnswer: -123000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 10. Suppose -28 = 3*i + i. Let t be o(i). Let c = t + 65. Is c 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 19778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 1:29 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 0.5. What is the smallest value in 3, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6703 - 3005. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/33)*a**(3\/7)\/a)**(-1\/32))**38 assuming a is positive.\nAnswer: a**(1121\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71.000136 + -71. Round r to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1864 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 5 - 11*x**2 - 78 + 3*x + 17.\nAnswer: 2*x**2 + 3*x - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 - 6*h**2 + 11*h - 9. Let q(j) = -j**3 - j**2 - j + 1. Let t(a) = 2*q(a) + r(a). Let p(u) = u**2 - 386*u - 7688. Let c be p(-19). What is t(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 10*t - 4. Let y be p(8). Let d = 43 - 41. Suppose 0 = y*u - d*u - 880. What is the highest common divisor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 2)*(4*t - 3*t + 4*t) + (-2 - 1 + 1)*(t + t - t) + (-t + t + t)*(2 + 0 - 1) - 3*t + 0*t - 7*t to o*t + x and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2. Let j(l) = -l**2 - 9. Determine j(c(v)).\nAnswer: -4*v**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g**3 + 5*g**3 - 3*g**3)*(12*g**2 - 12*g**2 - 9*g**2) + (3 + 33*g - 3)*(4*g**2 + 2*g**4 - 4*g**2))*(-1 - 1 + 1).\nAnswer: -57*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 30*o**3 + 17*o**2 - 35*o. Let y(m) = -10*m**3 - 6*m**2 + 12*m. Determine -6*a(g) - 17*y(g).\nAnswer: -10*g**3 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -33*b**6\/10 + b**5\/10 - 181*b**4\/4 - b**3\/6 + 3*b + 145. What is the third derivative of p(a) wrt a?\nAnswer: -2376*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 0 - 11\/12*r**4 + 7\/6*r**3 - 13*r - 3\/2*r**2. Let n(f) = 6*f**2 - 4*f + 2. Determine -4*d(u) - 7*n(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2219 - -2214 - (1 + (-1 - -8)) - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)\/((-1)\/2). Let q be ((-4)\/(-2))\/(o\/22). Suppose 0 = -2*i + q + 12. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -3.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 at most as big as -47.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 279309105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, z: 3, b: 3, d: 1}. Give prob of sequence mdbz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4110, 5087, 6064, 7041?\nAnswer: 8018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 - 1061*c**2 - 5412*c - 51. Calculate d(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 26. Let s be k(-14). Suppose -s = -3*f - 2*f - 4*c, 0 = -5*f + 2*c + 38. Solve 4*w - f*w - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 3, 18 in ascending order.\nAnswer: 1, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + 0) - (-6 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 19*i - 75 = 0. Solve -3*n - 4*v = -35, -4*v = -9*v + i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*m - 5*b, 3*m + m - 33 = -5*b. Let d(w) = -2 + 9*w**2 - 11*w**m + 8*w + 3*w**2. What is d(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17208.770016 - 17209. Let l = s - -0.23. What is l rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5555?\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*g - 3*m - 16, -2*m + 2 = -2*g. Let w(x) = 2 - 1 + g*x + 0*x - 4*x. Let v(c) = -c - 1. Let j be v(2). What is w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2 + 14742*d - 14745 = 0.\nAnswer: -4915, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s - 3*d, -5*s + 2 = -5*d + 27. Let q = 0.01 - -1.99. Which is the third biggest value? (a) q (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 82 (b) 0 (c) 5 (d) 4 (e) 0.63 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -99?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) + 15\/(-21). Let z be 2 + -79004 + (1 - s). What is z rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254 (base 7) in base 16?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316 - 114. Let s = 107 + k. Let q = s + 323.00191. What is q rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -h + 2744, -3*h + 2978 = -5*a - 3884. Let w = a - -2071. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a25145 (base 11) in base 4?\nAnswer: 31002201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103\/3 - -34. Let l = 80.4 + -80. What is the second smallest value in l, a, -5, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1183 + -1535. Is i >= -1756\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 2*j)*(-13 + 2 + 1)*(-3*j - 2 + 2).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39104407911.34 and 70.\nAnswer: 39104407981.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 + (6 - 2). Suppose q*j = -j + 55. Suppose -2*w - r - 3*r + 14 = 0, -3*w = -4*r - 41. Calculate the highest common divisor of j and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + (5 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -235 + 418*l**2 - 418*l**2 + 113*l**3 + 1572*l**3 + 239 as b*l + t + x*l**2 + r*l**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvggwwyk. Give prob of sequence vyw.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/6449250 and -49\/8599000.\nAnswer: 25797000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*q, 0*q = -q - a + 8. Let g = 4 - q. Let z be (-1)\/6*3*1. What is the closest to -1 in z, -1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*s + 320, -5*w + 414 = 4*s - 1250. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224 + 226. Solve -20 = 5*d + 2*w - w, 2*d - k*w = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 157 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 + 2080*u - 1081600 = 0.\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 7. Let x(b) = 3 + 6*b - 3*b - b - b. Determine -4*o(a) - 9*x(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/24*(-2 + 6))\/(1\/(-9)). Solve f + 2 = -2*w, w - p = 3*f - 54 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -10*d + 3*h - 2, 0 = -4*d + h - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:51 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-184)*(8\/(-72))\/((-46)\/(-828))\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsiksqwkkwkkpss. Give prob of sequence qi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9391 + 4551 = 5*r + 2*q, 2*r - 5572 = -2*q. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*f - 19398 = 7046 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*z**2 + 7*z - 32?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/2)\/n**3*(n**(-1))**(-33) assuming n is positive.\nAnswer: n**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 9*k - 1. Let i be f(-4). Suppose v = i*v - 4. What is the highest common factor of v and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2 + 13600*r - 54336 = 0?\nAnswer: 4, 3396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 66 + 52 - 66)*(125*y**4 - 6175*y + 6175*y).\nAnswer: 13250*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -76 and 41\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-10)\/75). Suppose -2*b - 50 + y = -5*v, 0 = 3*v - 9. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1118, 1183, 1266, 1367, 1486, 1623?\n\"Answer: 9*r**2 + 38*r + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/350 and 47\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315*s**5 + 443*s**2 wrt s?\nAnswer: -18900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m + 0*m)*(3 + 2 - 4)*(-17*m**3 + 26*m**3 - 14*m**3).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:27 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 311140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/15)\/((-9)\/(-10)). Suppose -9 = 3*s - 6. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.55 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8628 + (-2)\/((50\/35)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1978, -2089, -2200, -2311, -2422, -2533?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdr when three letters picked without replacement from rqdvrppqvqvpqv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 33209.74 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4314\/1949 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -44 + -63 + 10 + 91.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/13)*q*q**(2\/9)*(q*q**9*q)**(-7\/11) assuming q is positive.\nAnswer: q**(-649\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 5.63.\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*p**3 - 22*p**2 - 32*p + 3.\nAnswer: 108*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 9. Let u be v(7). Suppose 2*s + 86 = u*o, 4*o - 81 - 97 = -2*s. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/5)\/((j*j**(-24)*j*j)\/j)*j**2\/j*j*j**(15\/7)*j)**20 assuming j is positive.\nAnswer: j**(3968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 112*g + 6. Let t(y) = -y**2 + 75*y + 4. Calculate -8*t(d) + 5*u(d).\nAnswer: -2*d**2 - 40*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 44*w**2 + 0 + 2\/3*w**3 + 0*w - 1\/24*w**4. Determine u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 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: Solve -k - w - 1 = 0, -1878*w = -k - 1883*w + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36635 - -36666. Put -2, l, -3, 3, -4 in decreasing order.\nAnswer: l, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i - 46, -2*r + 4*i + 436 = 0. What is the remainder when 408 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -626 and 3.82623.\nAnswer: -2395.21998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2121 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**3\/3 + 3*n**2\/2 + 10*n - 3. Let w be f(-4). Let -4*a**3 + 4*a**5 - 8*a**3 - 6*a**2 + w*a**2 = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1891286, -1891276, -1891262, -1891244, -1891222?\n\"Answer: 2*n**2 + 4*n - 1891292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 + 11*l + 4. Let t(q) = q**3 + 2*q**2 + q + 3. Let u be t(-3). Is 9 a factor of v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*q**2 + 160*q**2 + 240*q**2.\nAnswer: 336*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35 + 0 + 8 + -11. Suppose 0 = -2*n + d. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27711577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {k: 2, j: 2, y: 1, m: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, -1\/3, 0.1, -10.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11320 + 12031122?\nAnswer: 12103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44973221 by 3.\nAnswer: 44973221\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g - 2*m - 7 + 2 - 3 = 0, -2*m - 51 + 36 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -3370.\nAnswer: 11\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76, 148, 270, 442?\n\"Answer: 25*r**2 - 3*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6518?\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + -1. Let h(f) = -8*f - 28. Let i be h(-6). Let u = i + c. What is the smallest common multiple of 18 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0926 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8775 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 2*z**2 - z + 4. Let v be 2*-1*(-3)\/(-6). Let t be (-2)\/(v - 3)*6. Is w(t) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 9*d - 108. Let j be c(7). Suppose 69 + 31 = j*w. Solve 4*x - 13 = -w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(5) - (sqrt(25)\/sqrt(5)*-5 - sqrt(5))))\/(3*sqrt(16)*-3).\nAnswer: -sqrt(13)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -456707*s*x + s - 2078776*x wrt s.\nAnswer: -456707*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 6. Let x be -1 + -5*u\/4. Sort 4, 1\/11, x in decreasing order.\nAnswer: 4, x, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-7 + 2)\/1). Let f = 3.04 + -3. Let t = 0.16 + f. Which is the third biggest value? (a) t (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 16470884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from csxhgxxgxcg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 155031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602541990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1815, -315 in decreasing order.\nAnswer: 1815, 4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13443565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47, -160, -335, -566, -847, -1172?\n\"Answer: o**3 - 37*o**2 - 9*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2. Let j(x) be the second derivative of x**4\/4 - 12*x. Give j(c(p)).\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - -3.92. Let o = -3729\/2 + 1865. What is the closest to 2\/3 in -2\/17, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -42. Let f(d) = -d + 7*d**3 + j - 3 - 8*d**3. Let p be f(0). Solve 4*r + 3 + 9 = p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135758*w + 135758*w - 68*w**3 - 114 + (4*w + 2*w - 5*w)*(w**2 - 2*w**2 - w**2) as u*w**3 + m*w**2 + s + i*w and give s.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, -0.5, -0.209, 1\/7, -0.18?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1311.7 (b) 1\/12 (c) -5 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3656, -3753, -3850?\nAnswer: -3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from tzzzwzwzzwdtwdwwwwtz.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464 - 13 = 3*m - 4*v, v = -2. Let p = m + 1183. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.039 * -0.4.\nAnswer: -0.8156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*403\/546*(-24*21)\/24.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*k**3 - 5896 + 85*k**3 + 5896.\nAnswer: 165*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 23 = -4*u + 2*q, 3 = -u + q. Suppose -4 = -2*s - u*s. Let b(j) = -j - 1. Let x be b(-4). What is the nearest to s in x, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + (-252)\/(-66) + (-4335)\/3564 and 41\/1431.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 162 + 42*q**3.\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3\/3 - 1. Suppose 2*n - 5*n = 33. Let h(f) = 9*f. Let v(p) = 5*p. Let b(u) = n*v(u) + 6*h(u). Calculate b(j(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 1498*o**2 + 1487*o**2 - 2985*o**2 - o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -2, 3, 0.\nAnswer: -63, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (16\/(-136) + (-6)\/204*-106)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 179715188.\nAnswer: 718860752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 22 (b) -2 (c) 136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/12324 or -1?\nAnswer: 1\/12324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395156 = -252*g + 1642304. Calculate the greatest common factor of g and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(2\/3)\/c)\/c))**(-4\/19)*(c*c**(-3))\/(((c\/c**(-7))\/c)\/c)*c\/(c\/((c\/c**(2\/9))\/c)*c*c)*c**1*(c**0*c)**(-2\/51) assuming c is positive.\nAnswer: c**(-28351\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13475 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:05 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5953727.\nAnswer: 13, 457979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/200 and 127\/68040.\nAnswer: 340200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -17 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0.3, -1, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(-2))\/(-3 + 2) is divided by ((-591)\/(-27) - 22)*-27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-42))\/(328\/287)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -356 + 370.8. Let r = w - 15.021. Round r to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14\/9, -2\/23, -1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 3. Let g be t(-2). Let z(h) = -15*h - 1. Let s(m) be the third derivative of 7*m**4\/24 - 5*m**2 - 249. Determine g*s(y) - 2*z(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -2*r - 4*q, -5*r + 20 = -5*q. Solve 0*v - 5 = -p + 3*v, r*v = -15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d + 4*d - 40 - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 518\/777*(-36)\/16*142\/3\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 379318.334 rounded to the nearest 10?\nAnswer: 379320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iit when three letters picked without replacement from {t: 1, i: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-2268)\/(-300))*6\/(-10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 3*a + 4*a)*(3*a - a - a) + (-3 - 3 + 2)*(39*a**2 - 126*a**2 + 14*a**2) + 6*a**2 - 2*a**2 - 2*a**2 in the form u*a + m + s*a**2 and give s.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from {j: 5, a: 8, e: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:59 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 48532.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1. Let z(t) = 9*t + 4 - 8*t - t**2 - 3. Give -v(m) + z(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 2684 = -4012 for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Let y(i) = 521788*i. What is y(r(o))?\nAnswer: 1043576*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 8*z - 5*m + 28, z = -2*m + 10. Solve 1 + 2 = b - 4*v, 0 = -4*b - z*v - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-9)\/(-30))*39\/(-351)*-27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7271 = -4*g - f, -5*g = 3*f - 9079. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -216997923, -216997921, -216997919, -216997917, -216997915?\n\"Answer: 2*c - 216997925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v - 53. Let t be f(9). Let s = t + 154. What is the highest common divisor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8516*b - 234. Give k(0).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 30. Let n = -83 - t. Let r = n + 227. Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:10 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*r + 205*r + 8 - 6.\nAnswer: 339*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824932?\nAnswer: 2, 206233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000432913426 to six dps.\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72713*d**3 + 116157?\nAnswer: 218139*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 218, 12505 in ascending order.\nAnswer: 0, 218, 12505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -78*u**2 + 46*u**2 + 28*u**2. Let c(g) = -18*g. Determine c(h(t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 + 786\/7. What is the closest to 0 in 1, -4, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39845028 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -5*u**2\/2 - 23*u - 30. Let y be o(-3). Calculate the common denominator of -12\/55 and (-589)\/105 - y\/56.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 + -217. Suppose 0*w = -3*w - 3*y + 5082, a*y = -5*w + 8468. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 1.1269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**11\/y*y))\/y)\/y*y*y*y**(-4\/9)\/y*y)\/(y**(-1\/4))**(-42) assuming y is positive.\nAnswer: y**(-377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33350 (base 12) in base 6?\nAnswer: 1242140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -999.8 + 1000. Let u be (3\/(-5))\/((-24)\/(-15)). Let w = 6.1 + -6. Which is the second smallest value? (a) u (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 15\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:12 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -16*i. Suppose -5*w = -0*w. What is the closest to w in 2, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447836.07 rounded to the nearest one hundred?\nAnswer: 447800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10085941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 588 - 1729\/3. Calculate the common denominator of q and 23\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -24. Let r(u) be the third derivative of a*u**4 + 0*u - u**2 + 1\/60*u**5 + 0 - 1\/6*u**3. What is the first derivative of r(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/((o**12*o*o)\/o))\/(o*(o*o\/(o*o**(-3)*o))\/o)**(12\/7) assuming o is positive.\nAnswer: o**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = -3*g, 4*g + 13 = 3*a - 4. Suppose -1 = -2*f + 3. What is the derivative of -f + 3*d - 5*d + a*d wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -61097395751?\nAnswer: 61097395750.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2094*y + 2158 = -2009*y - 1582 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 50706, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2133 + -2134. Which is the nearest to 0.1? (a) -53 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - 138ab?\nAnswer: -13886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z = -3, 0 = 3*m + 2*m - 3*z - 9. Suppose 0 = -2*n + 3*n + 5*u + 5, n = -4*u - 4. Suppose m*g + 0*g + 9 = n. Sort g, 1, 0.5 in ascending order.\nAnswer: g, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1405183967 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312.0998499 + -312.1. Round n to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(520))\/sqrt(10))\/(-1*(sqrt(484) - (sqrt(484) + sqrt(484)*2))).\nAnswer: -3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3)*j)\/j)**(-18\/13))**(-2\/13) assuming j is positive.\nAnswer: j**(-24\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 455*l**3 - 11*l + 3. Let b(w) = -152*w**3 + 4*w - 1. What is -11*b(m) - 4*k(m)?\nAnswer: -148*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(272))*1 - 5*(sqrt(272) + (sqrt(272)*2 - sqrt(272)))**2*3.\nAnswer: -16324 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2343.\nAnswer: -5\/2343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 504.\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27.994761 * -9\nAnswer: 251.952849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*f**4 - 31*f**2 - 2407*f wrt f.\nAnswer: 300*f**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**3 + z**2 + z + 1. Suppose -5*c - 21 = -4*h, -8 = -4*c + 9*h - 12*h. Let d(i) = -i**2 - i - 1. What is c*s(a) - d(a)?\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -127*v**3 - 6*v**2 - 8*v + 53. Let o(r) = -2*r**3 - r**2 - r. Let y(d) = -a(d) - o(d). Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 206*v - 2*v + 123*v as y + u*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 6*t - t)*(5*t - 2*t - 4*t) + 2*t**2 + 3*t**2 + 4*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-36))\/(2\/8). Let d(r) = r**2 + 1. Let a(j) = 13*j**2 + 2*j + 11. Let z(m) = s*a(m) + 5*d(m). Let k(t) = -3 + t**2 + 6 - 2. Determine 6*k(l) + z(l).\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*w + 36 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -2. Let d(x) = x**3 + x**2 - x. Let i(m) = -9*m**3 - 6*m**2 + 6*m + 5. Let y(h) = o*d(h) + i(h). Differentiate y(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610 is divided by 703.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32792 is divided by 6545.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579 (base 10) to base 15.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/23)*r*r\/r**(-3))\/(r**5*r**(2\/5)) assuming r is positive.\nAnswer: r**(-56\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 112.12*49\nAnswer: 5493.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 0.03222066.\nAnswer: 5.03222066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-28)*19\/(76\/(-196))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -473c (base 13) to base 6\nAnswer: -114222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286650581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397147 is divided by 993?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 13500587?\nAnswer: 13500582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4249981.\nAnswer: 4249981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35449847 at least 35449847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Suppose h = q - 3*q + 22. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1147436, 1147752, 1148278, 1149014, 1149960, 1151116, 1152482?\n\"Answer: 105*o**2 + o + 1147330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9855*a**3 - 20198*a**3 - 11390*a**3.\nAnswer: -41443*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 4012 + 20876 = 0. What is the units digit of t\/51 - 2\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2\/5*t**2 + 2\/5*t**4 + 6\/5*t - 6\/5*t**3 - 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1220268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -14.4. Let k = n - -2.6. What is the second smallest value in -2\/5, 4\/3, k?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-485)\/15*2*(-18)\/4. Suppose -8*d + y + 317 = 0. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 85d858?\nAnswer: -85d857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(70)*-2 - sqrt(70)) + (-6*1*sqrt(70) - sqrt(70)))\/(sqrt(120)\/(sqrt(588)*1 - sqrt(12))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2335.2 + -2331.2. What is the third smallest value in m, -4\/7, 11\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27576 divided by -72?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/187, 3.2, -61, 4 in decreasing order.\nAnswer: 4, 3.2, 12\/187, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15402 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Let f(p) = -r*p + 4*p + 2*p**2 + 2*p - 1 - 4. Does 23 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26570 is divided by 483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -3\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13319, -15\/7, -4, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -15\/7, -3, -4, -13319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1037687, 1037694, 1037701?\nAnswer: 1037708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7595 divided by 7\nAnswer: -1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29 + -1)\/((-82)\/861). Calculate the greatest common factor of f and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43.9 - 40. Let g = a + -4.4. What is the third smallest value in 1, g, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16868977 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4935 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 11562?\nAnswer: 115620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -200122002211 (base 3) in base 15?\nAnswer: -73a0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1053*n**2 - 2113*n**2 + 75*n**2 + 2*n**2 + 0*n**2 + 0*n**2 + 0*n**2 - 2*n**2 + 0*n**2 + (2*n**2 - 3*n**2 + 3*n**2)*(2 - 1 + 1).\nAnswer: -3087*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 987*s + 6969 = 684*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/140 + (-1)\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 - 164?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 775 or 759?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 29*j - 4 = -x, j + 48 = 12*x - 0*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 32 + 20. Suppose w = 4*z + 2. Let t = -10 - -14. Calculate the remainder when z is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1423841761 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -471 = -496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 75, 209, 407, 675, 1019, 1445, 1959?\n\"Answer: f**3 + 23*f**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-210) + (-15)\/(-21)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-85 - 37 - -31)\/(-7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Find the second derivative of -3 + 6 + i*f + 3*f**2 - 3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b - -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -317.3 times 10\nAnswer: -3173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 - s**2)*(3684 + 7107 - 6181).\nAnswer: 4610*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**1))**45\/((g\/((g**(3\/8)\/g)\/g))\/g*g**(5\/2)) assuming g is positive.\nAnswer: g**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1127923.38 microseconds?\nAnswer: 0.00001305466875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 66\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1634 divided by -38.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**(-41)\/(d**(2\/3)\/d**(-2\/15)) assuming d is positive.\nAnswer: d**(611\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/48 - m**5\/15 + 7*m**4\/48 + m**3\/2 + 18*m**2 - 5*m. Find k such that u(k) = 0.\nAnswer: -2, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.072 - -3.928. Which is the nearest to -7? (a) g (b) -2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 4*a - 3*a)*(-8*a**2 - 13*a + 6*a + 8*a) to r*a + l*a**3 + j*a**2 + z and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 870926 to the power of 1\/2, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -3*x. What is the third derivative of l - l + 0*l**5 + 2*l**5 + x*l**2 wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 - (-12)\/4). Suppose 5*x + 2 + 8 = z. Is 3\/(-2) + (-27)\/x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.97910421 - -0.1\nAnswer: 2.07910421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -937045 and -524.\nAnswer: 491011580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2028303 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/90)\/((-10)\/15))\/(6\/72*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.690075g to nanograms.\nAnswer: 690075000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjbj when four letters picked without replacement from jjjjjjbjjjjjjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 - 487 - 483 - 17*d + 968 + 17*d - 2*d**3.\nAnswer: -12*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3*l**2 + k**3 - 4*k**2*l**2 + 2*k*l - 4*l**4 - 2 wrt l?\nAnswer: -6*k**3 - 8*k**2 - 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.52 + 0.48. Let r = 161.14 - 161. Is r bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4276422 to the power of 1\/2, to the nearest integer?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5333*p**2. Let y(b) be the second derivative of b**3\/3 + 1769*b. Determine u(y(q)).\nAnswer: -21332*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2958\/(-58)*(-12)\/(-1122).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9*z + 24. Suppose -5*l + 762 = -3*p, -5*p + 280 = -2*l + z*l. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000053 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9 = 154. Let a = k - 30. Let n = -64 - -62. Put 3, 0, n, a in descending order.\nAnswer: 3, 0, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*h + 3*x, -5*h + 77 = -4*x - 0*x. Let u = -3.2 + 2.2. What is the second biggest value in -0.2, h, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 2000090*m**2 - 12000675*m - 18001080.\nAnswer: 5*(m - 400024)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, 3\/8, 1\/2828?\nAnswer: 1\/2828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3523 (base 9) to base 11.\nAnswer: 1a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*q**3*s - 154*g**2*q**3 + 2*g**2*s + 7*g**2 - 5*g*q**2*s - 2*g*q*s - 18*q**3*s - 11*q**2 wrt q?\nAnswer: -12*g**2*s - 924*g**2 - 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (49\/(-35))\/(1\/(-5)). Suppose -2*k + 5*q + p + 13 = 0, -2*k - 2*q + 34 = 0. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1904 - -18396. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2057) + 3) + (sqrt(2057) + (-1 + sqrt(2057))*-6)**2)*-4.\nAnswer: -205820 + 2728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 223808, 223787, 223766, 223745, 223724, 223703?\n\"Answer: -21*x + 223829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 171434 + 6451?\nAnswer: 200105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 3421 - 3677 = 23*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 745 + 758 = 3*z, -5*z + 7 = -3*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 - 56 + 11*m)*(4*m**2 - 4*m**2 + 17*m**2)*(-3201*m + 3243*m - 1 + 1) to k*m + w*m**3 + i*m**4 + h + a*m**2 and give i.\nAnswer: 7854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150017 is divided by 8456.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*n + 131. Let y(o) = 40*o**3 - o - 1. Let a be y(-1). Let k = a + n. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.64297477 to 2 decimal places.\nAnswer: 43.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 - 32*u + 6. Let g(d) = d**2 + 97*d + 1926. Let b be g(-28). Calculate l(b).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*m + 210*m - 28 = 399*m - 96 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3230 and 3895?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 5*p - 0, -v + 5 = 0. Let s be 24\/(-144) - (-25)\/6. Let j be 0\/(-4 + 9 - s). Solve -x - p + 8 = j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316927928 is divided by 356?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 292*(3\/2)\/(-3). Let c = 246 + n. What is the highest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*q. Suppose m + 4*m - 10 = 0. Suppose -q*g + 3 = -m*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.04, 1.\nAnswer: 0.04, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 2424.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 2*y - 1. Calculate q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*(-5875)\/(-32900)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 1\/2*f**2 - 36 + 24*f. Let b be q(4). Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 90 = -17*f. Solve 3*m + f = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -901.894831 to one decimal place.\nAnswer: -901.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnnnznnnnnn. Give prob of picking 3 n.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvrv when four letters picked without replacement from vvwrwvvm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-13 + 5) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 + 17*f - 89. Is h(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*o = -19, -3*c + 8*o - 2*o = -18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4 + -1)\/(4 - 3) - -21 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 824 - -1360. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/12))\/m*m**(-3\/2))\/(m**(-2\/7))**43 assuming m is positive.\nAnswer: m**(913\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -53. Let y = l + -17. What is the greatest common divisor of 154 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(0*p**2 + 8*p**2 + 4*p**2) + 3*p**2 - p**2 - 4*p**2 + 1558*p - 1558*p + 26*p**2 to the form c + v*p + j*p**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -1. Let w(z) = 2*z - 5. Let u be w(4). Suppose -4*k + 3 = -3*k. Solve -k*g = -0*c + u*c + 21, -4*c - t = g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d. Suppose -3*m + 2*p + 75 = -0*m, -4*p - 12 = d. Suppose 0 = -3*b + m + 1. Solve 12 = 4*s - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + 6*i**4 + 58*i**2 + 1 - 60*i**2 - 14*i + 4*i**3 in the form x*i**3 + d*i**4 + u*i + n + t*i**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/1246 - -8013\/1246. Let y = 83 - 505\/6. Find the common denominator of b and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*z + 6*u - 7*u, -5*z - 3*u + 73 = 0. Let x = z + 3. Solve -x = 8*b - 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 4, 0.602?\nAnswer: 0.602","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-6) + (-826)\/(-4) is divided by (16\/(-88) + (-15428)\/2871)*-3*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-2*(-1)\/(-6)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3976810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w + 12. Let y be t(2). List the prime factors of (1 - 0) + (3 - y).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3795 + -3793. Solve 0 = z*d - 6*d + 12, -3*d = -b - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6421*f + 6557*f = -6936 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 2\/17 (b) 3\/4 (c) 1.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 + 5*i**2 - i - 5. Let h(v) = 5*v**3 - 11*v**2 - 5. Let o(f) = 2*f**3 - 4*f**2 - 2. Let t(d) = 3*h(d) - 8*o(d). Calculate a(n) + 5*t(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 165, 162, 159?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/7*n + 18\/7*n**2 - 300\/7 + 3\/7*n**3.\nAnswer: 3*(n - 4)*(n + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-335*(-4)\/16)\/(10*12\/192). Sort -8, -1, r, -3 in descending order.\nAnswer: r, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 9*v**4\/4 - 5*v**3\/3 + 9*v**2 - 10093. Let z(b) = -14*b**3 + 8*b**2 - 27*b. Determine -8*d(i) - 5*z(i).\nAnswer: -2*i**3 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3428 - -0.3?\nAnswer: -3427.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -4332020213?\nAnswer: -4332020204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121bcc (base 13) in base 10?\nAnswer: 432639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/2 + 190777*u\/2 - 190775 = 0.\nAnswer: 2, 190775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*m + 10 + 3 - 6.\nAnswer: -75*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 697*y - 9736. What is the remainder when 1356 is divided by v(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/11 + 12324*t\/11 + 48944 = 0. Calculate t.\nAnswer: -6118, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 911, 935, 959, 983, 1007, 1031?\n\"Answer: 24*b + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memmmmmmmmmm. Give prob of picking 2 m.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9 and 185.\nAnswer: 721.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 410665123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/2 - x**3 - 3*x**2\/2 + 8*x + 21. Let o(p) = p**2 + p - 1. Calculate k(w) + 3*o(w).\nAnswer: 2*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 11*y**2 + 54 - 4*y**2 - 2920*y - 117 + 64 in the form c*y + g*y**2 + n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - d + 467*d**2 - 69 + 71. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -456 - -480. Solve 0 = 3*q - n + 3 - 1, -4*n + w = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125047 is divided by 4815.\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -2805\/16, 1.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 22*p**2 - p - 20. Let b be x(-22). Let i(y) be the third derivative of -5*y**b + 1\/12*y**4 + 0 - 1\/6*y**3 - 1\/60*y**5 + 0*y. Factor i(l).\nAnswer: -(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 613.16 and 282278.\nAnswer: 282891.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3141, -6271, -9399, -12525?\nAnswer: -15649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let z(p) = p. Let s(t) = 2*n(t) - 7*z(t). What is s(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(4\/(-3)) - 10\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k - 3. Suppose w - 10*w**k + 2*w**3 + 4*w**2 + 8 - w = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**3 + 35086*x - 32*x**3 - 35086*x.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 4. Let z(u) = 1. Determine -2*w(p) + 6*z(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13434, 13436, 13438, 13440, 13442, 13444?\nAnswer: 13446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 0. Suppose u = -0*n + 2*n + 40000. Let x be n\/3*(-174)\/4. Round x to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 5)*(4*v + v**3 - 2*v + 2*v**3).\nAnswer: -42*v**3 - 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 120. Calculate the remainder when x is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46857, 0, -2 in ascending order.\nAnswer: -2, 0, 46857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 2 - 2 + (2*g**2 - 2*g**2 + 2*g**2)*(148 - 148 - 74*g).\nAnswer: -149*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(((-1)\/((-2)\/(-5)))\/(2862\/636))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/90 + 58*o**4\/27 - 4100*o**3\/27 + 40000*o**2\/9 + 439*o - 3. Suppose n(z) = 0. Calculate z.\nAnswer: 16, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0)**(-4\/5)*((b**1\/b)\/b)\/b**(4\/5))\/(b**(-2)\/(b**2\/b)*(b**(-2\/5))**(-3\/4)) assuming b is positive.\nAnswer: b**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -17, 8, 0.2.\nAnswer: -17, -1.3, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7820\/(-700) - -11)*84\/(-54). Let -w*s**4 - 2\/15*s**5 + 4\/15*s**3 + 8\/15*s**2 - 2\/15*s - 4\/15 = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*r**2 + 14*r**2 + 19*r**2 + 20*r**2 + 13*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2747 - 2740. Solve -p*c - 10 = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-43)*x**(-40))\/(x**(-14\/9))**(-50) assuming x is positive.\nAnswer: x**(-1447\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -643 + 645. Suppose y - 5*r = -m, 8 = y - 0*r + 5*r. Solve 0 = -0*k + y*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n)**21\/(n**(-1\/4)*n**(-1\/6)*n)*((n*n**(-1\/4))\/n)**(-32\/5)\/((n**(1\/3)\/n)\/n*n)**(-29\/2) assuming n is positive.\nAnswer: n**(-173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/44 and (90\/154)\/((-26)\/(-91))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 709*s**6\/30 - 2129*s**5\/15 + 712*s**4\/3 - 8*s**3\/3 - 5*s**2 - 313. Factor n(b).\nAnswer: 4*(b - 2)*(b - 1)*(709*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 + 1\/(-4). What is the third derivative of -2*s**4 + o*s**2 - s**2 + 0*s**2 - 5*s**2 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*p + 89*p - 321066. Suppose -4*a + p = -27087. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}