diff --git "a/data/dm_maths/full_data/11184_11255.jsonl" "b/data/dm_maths/full_data/11184_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11184_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 0.4292845ml in litres?\nAnswer: 0.0004292845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - r + 7 = 0, -4 = 478*r - 482*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10220?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 15 = -3*a, -280*m + 27 = -283*m + 3*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 372 - (8 - 5) - -5. Let g be j\/(-51)*(0 + (-3)\/2). Suppose g*z - 742 = 4*z. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-28))\/(13\/208).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -678*m - 45403. What is i(-67)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 11852 = 19*b. Suppose b - 708 = 11*h. Suppose 4*x - 2*v = 202, 4*x + 5*v - 4*v - h = 0. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7414 - -133501\/18. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/72 and -19\/37?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -0.5 (b) 0.4 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-16)\/10)*6\/(-11)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -5. Let s be q\/(-21)*24\/4. What is the third smallest value in s, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1*sqrt(190) + sqrt(190)) - (sqrt(190) + sqrt(190) + sqrt(190) + 6*(sqrt(190) + sqrt(190)*1 + sqrt(190))))\/(2*sqrt(1440)*1))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 23, -2, 0.4, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 + 295. Is (x - 1)*(-7797)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127\/6, 5, -4, 2, -135, 0.2 in descending order.\nAnswer: 5, 2, 0.2, -4, -127\/6, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -13 - -2 - (-6 - -10 - -11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 2 + -58 + 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unwudsy. What is prob of picking 1 w and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -220133011312?\nAnswer: 220133011301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 5*z + 245, -z - 229 = -p. Let t be 705\/p - 4\/30. Solve -t*a = k - 1 + 10, -3*k + 1 = 2*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -8. Let b = s + -3. Suppose -3*w + 45 = -3*q, -2*w = b*w - 3*q - 64. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 + 169. Suppose 5*m - 2*w + 162 = 0, m + 33 = w - 0. Let d = s - m. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 11 = 3*j. Let z be 18\/9 - (44 - j). Let v = 76 + z. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -139, -207, -275, -343, -411?\n\"Answer: -68*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 4. Let a be i(5). Let j(f) = 4*f**3 - 23*f**2 - 14*f + 49. Let x be j(6). Solve -a*k + 17 = -x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48200964 divided by 3442926?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 44 + (1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/2*(-2)\/3. Let n = 57\/4 + t. Let v = 0.19 - 0.69. Which is the second smallest value? (a) v (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-70)*(-2702)\/(-2316).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244664 is divided by 1714?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = l. Suppose 4*y - 16 = l, -1 = -3*x - y + 15. Suppose -759 = -2*i - d + 2*d, x*d = -4. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -701 + 700.99998617. Round u to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1003.7?\nAnswer: 301.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 - 24293960*y + 24293960*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 0 + 6 - (10 + -17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n + 6. Let y(k) = -3*k + 215 - 109 - 106. Give r(y(d)).\nAnswer: 12*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -24. Calculate the highest common divisor of 11 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121211201001 (base 3) to base 10.\nAnswer: -331480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**2 - 8*m - 179. What is n(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {q: 2, b: 1, s: 1, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -18743.\nAnswer: 3\/18743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(363)*-1 - sqrt(363))**2 - ((sqrt(18)*1)\/sqrt(6) + 2)) + 4.\nAnswer: -sqrt(3) + 7262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.701 + 4.601. Let b = -6 + 5.6. What is the closest to 9 in b, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from {x: 14, j: 1, a: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 = 11. Is (8 + c)*602\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5\/10 + 4*a**4\/11 + 4*a**3\/33 - 9*a. Let b(w) = 0. What is w?\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.393 - -0.293. Put -4, q, -3 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -255*h - 196*h + 119 - 32*h - 83*h with respect to h.\nAnswer: -566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*7199479.\nAnswer: 1439895.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1049 or 1055?\nAnswer: 1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -10998\nAnswer: 23\/5499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 1935.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from suuusquqqxux?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 39.953. Let t = -3.217 + 0.17. Let z = x - t. Which is the nearest to -5? (a) z (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5295 divided by -3\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 + 12*a**4 + 193*a**3 - 139166*a wrt a?\nAnswer: -20*a**3 + 144*a**2 + 1158*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -10, 34, 118, 254?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 4. Suppose 7*p = 8*p + 4*q - 14, -3*p - 38 = -4*q. Let d be (-1 - p\/5)\/((-24)\/48). Put 1\/8, y, d in decreasing order.\nAnswer: y, 1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -0.330776.\nAnswer: 2.330776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -158.7\nAnswer: -476.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e983 - -1?\nAnswer: e984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.96 - -0.04. Let w = -1 + g. Suppose z - 4*z + 5*v - 7 = 0, v + 3 = 5*z. Which is the closest to w? (a) 2\/5 (b) z (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*u + 242 = 0, 6*u = 3*u + 9. Suppose 16 + h = 3*d. Calculate the remainder when (-87)\/(-5) - 10\/d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:40 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + k + 84. Let q be h(-6). Let t(x) = -x**2 + 12*x - 33. Let f be t(q). What is the highest common divisor of 57 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1547870 (base 14) to base 5\nAnswer: -10130040234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18477 and 60089257.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63565 - 62*n - 63565.\nAnswer: -62*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29760 - 35769 = 2484*a + 1539 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 4*g - 2)*((2 + 2 - 5)*(-3 + 1 + 0) - 2 + 1 - 1 + 3 + 0 - 4) as l*g + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2783 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (3 + (-1*sqrt(200) - sqrt(200))) - sqrt(200))**2 + -3.\nAnswer: -120*sqrt(2) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1529 and -35\/1251.\nAnswer: 13761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 8*c**3 - 9*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6026 is divided by 748?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1105542302 (base 6) to base 2.\nAnswer: -101101111010010001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512122 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -783201828*r*z - 1091*z - 213083 wrt r.\nAnswer: -783201828*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 48*p - 567.\nAnswer: -(p + 21)*(p + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -28 - (0 - -2) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2309, 2310, 2311, 2312?\n\"Answer: k + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 85*x**3 + x**2 - 2*x. Let i be m(3). Let l = i - 1618. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 45 = -3*f, -k - 21 = -2*f - f. Let t be ((-20)\/k)\/((-34)\/(-3315)). Suppose v - 6*v = -t. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - v = -2*k, 2*k + 3*v = 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 577?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let m = 2 + k. Let q = -2.13 - 2.87. What is the third smallest value in m, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38298 is divided by 8644?\nAnswer: 3722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 62219 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -113.5, -4\/5, -56 in decreasing order.\nAnswer: -4\/5, -23, -56, -113.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 5*i - 17. Let o be r(-4). Find the third derivative of 0*h**3 + 11*h**2 - 4*h**2 + 3*h**3 - o*h**3 wrt h.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 110*h**2 - 7*h + 18. List the prime factors of z(5).\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -402 - -2407\/6. Let m = -7\/12 - o. Let i = -190\/329 + 2\/329. Which is the third biggest value? (a) -1 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 170. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4 - 5*s**2 + 0*s**2 + 2*s**2 + s**3 + s. Let g be (-1*6\/5)\/((-2)\/5). Give y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367218424 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3\/3)*-6. Let m(q) = -q**2 - 5*q + 5. Determine m(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 - 93*h - 96 = 0?\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 100?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 + 5*h**2 - 7*h**2. Let l(c) = -3*c - 3. Let a(g) = g**2 + 2*g + 2. Let x(f) = -3*a(f) - 2*l(f). Determine x(m(j)).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - ((0 - -3) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/3? (a) -2\/7 (b) -11.3 (c) -1\/4 (d) -0.2 (e) 145 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**2 - h - 46. What is y(10)?\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/(-300))\/((13\/(-12)*-13)\/((-2)\/9))?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and 0.8?\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111797148.\nAnswer: 2, 3, 167, 55787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 205 = -38 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(7) + sqrt(112))*-4).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 97*v - 456. Let w be k(5). Solve 22 = 3*t - 3*a - 2*a, 0 = t + w*a + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 19*r - 20*r. Let k(w) = -32*w - 88. Let y be k(r). Solve 4*f + y = 3*s, s - f - 1 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35481 and 70962?\nAnswer: 70962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16650836 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*x + 28*x - 149 - 9*x - 3*x + 2*x + 2*x + (4*x - 2*x - 3*x)*(2 - 2 - 2) + 0*x + 4*x + 0*x - 2*x + 2 - 2.\nAnswer: 8*x - 149","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 2*(-3*(sqrt(68) + 1 + sqrt(68)) - sqrt(68)) + -1 + 3 + -4)**2.\nAnswer: 336*sqrt(17) + 13364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 135*m + 9. Let p(c) = 14*c + 1. Let x(s) = -n(s) + 9*p(s). What is x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 3*k**2 + k + 1. Give a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 8\/6*(-4386)\/(-344).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - t**4 + t + 56 - 10*t**3 - 57 - 2*t**2 + 0*t in the form w*t**4 + h*t**2 + m + o*t + f*t**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 6. Let y be q(4). Suppose -y*o - 33 = -39. Is 27 a factor of (128 - -1) + o + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 11. Let l be y(-15). Find the second derivative of s**3 + 2*s**4 - 4*s + 2*s**l - s**3 wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12034 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -1 (c) -68\/7 (d) -9\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1573) + (sqrt(1573) - sqrt(1573)*1))**2*1 - sqrt(1573)) + -2.\nAnswer: -11*sqrt(13) + 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 31*b**7\/210 + 2*b**5\/15 - 10*b**2. Find the third derivative of j(u) wrt u.\nAnswer: 744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = c - 134493, n - 2*n = 3*c - 403529. Suppose -14*i + 26*i = c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2\/z*z*z)**(-7)\/(z**(-2\/5))**(8\/11) assuming z is positive.\nAnswer: z**(-1524\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*(-24 - -2). Calculate the highest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-82)\/(-16) + 8\/(-64). Suppose -6*m - 6 = -8*m. What is the third derivative of v**3 + 4*v**2 - 5*v**5 + 4*v**j - v**m wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 448 = 9*m. Let l = m - 56. What is the greatest common divisor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133 - 0?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:39 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5. Let o(i) = -3*i**3 - 3*i**2 + 17. Calculate 6*c(y) - o(y).\nAnswer: 3*y**3 + 3*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - y**2 - 5*y. Let l(h) = -4*h + 12*h - 7*h. Give -4*l(u) - o(u).\nAnswer: -2*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203710, -209400, -224844, -254920, -304506, -378480, -481720?\nAnswer: -619104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 + 0*o**4 - 1\/6*o**3 + 1\/120*o**6 + 0*o + 0*o**5 + 15*o**2. What is c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2\/7 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 3. Let l(t) = -t**4 + 6*t**3 + 11*t. Let h(x) = x**3 + x. Let c(i) = d*l(i) + 6*h(i). What is the second derivative of c(p) wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-14) - 979\/(-28))\/3 and (195\/26)\/(-1 - 34\/38)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 318)*(-2)\/(-5). List the prime factors of (-2)\/9*-3 + 41370\/i.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50*(7 + 75\/6). Calculate the greatest common divisor of n and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 6*y - 11. Let v = 31 - 48. Let x be b(v). Suppose 89 = 5*u - x. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:49 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 1, -2\/19, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-7 - (-12 + 20 - 8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111702 (base 11) to base 6\nAnswer: 3451252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1109\/30 - 542\/15. Which is bigger: -0.204 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 23 = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -20. Suppose 0 = 2*q + 3*q - 20. Suppose -3*k - 9 = -r*g, -q*g = 2*k - 7 - 7. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -412?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3799*f**3 - 722 + 3791*f**3 + 359 + 363.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/121, -0.3, -5, 22, -5\/2, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 4*d**2 - d + 7. Let j be b(4). Suppose 2*s = 5*v + 15, -s = -j*v - 4 - 6. Let k = v - -9. Solve 0*m = m - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604284198.\nAnswer: 2, 11, 72922009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-7)\/((-37205)\/30))*3. Let i = j + -653. What are the prime factors of i?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -161 + 2*r + 64*r**2 - 2*r - 58*r**2. Let x(z) = 3*z**2. Determine b(x(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = h - 23*l + 21*l, 2*h = -4*l + 246. What is the greatest common factor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-13*(13 + -14). Let q = d + -34. Calculate the lowest common multiple of 8 and 25*q\/(29 + -4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109 - -2?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2\/2 + 5*d + 10. List the prime factors of v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 10. Determine z(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofooftffstsofootso. Give prob of sequence ssts.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 1, r: 11}. What is prob of sequence srbr?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20228973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (1 - -61) + 21 + (0 + -1 - -8)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 8) + -4 + (6 - 7) + (-11 - 48)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -226, -524, -940?\n\"Answer: -59*s**2 - 3*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 12, 0 = x - 3*w + 4 - 0. Solve -3*j + 0 + 14 = 5*b, -7 = x*b - 4*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 0.13, -2.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 3 = -2*q + 27*a, 11*a + a - 38 - 46 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 155201*c\/4.\nAnswer: -c*(c - 155201)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13918492 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 - 490*c**3 + 3120*c**2 = 0. What is c?\nAnswer: -104, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/22 + 4*q**4\/33 - q**3\/11 - 376*q. Let y(r) = 0. Calculate r.\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 41. Let m be (-275)\/(-25) + (-16)\/2 - -6. Solve s*p + m = 17*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q + 1366 = 122 - 208. Solve -q = 4*c - 4*i - 10, -3*c - i - 5 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 - j - 4. Let k be t(-4). Is 112 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.97 - -0.03. Let o = 7.003 - m. What is o rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*a**2 + 124*a - 24.\nAnswer: 4*(a + 2)*(17*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 52 = 13*o. Let j = o + -13. Differentiate -b - 2*b - 5 + 0*b + j*b wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.62 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3168 + -614. Suppose 3*v = 2*g + 1580, 5*v - 3*g - s = 78. What are the prime factors of v?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5147 or -5148?\nAnswer: -5148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (-4*sqrt(75)*-2 + 4)**2 + -2).\nAnswer: -9626 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/24 + f**3\/12 + 91*f**2\/2 + 3885*f. Factor k(b).\nAnswer: -(b - 14)*(b + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**3\/2 - 67*y**2\/2 + 203*y\/2 + 147\/2 = 0.\nAnswer: -3\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221360 < 1221360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + x + 6 = 0, -10 = -x - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*r = -6*q - 2573, 0 = -2*q + r - 1698. Let u = 5004 + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 6*a**2. Let n be v(7). Let z = 1962 + -15715\/8. Find the common denominator of (n\/16)\/((-2)\/8) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + 45\/(-162)*4. What is the third biggest value in 0.3, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 13*y**2 + 5*y + 14. Does 10 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 63 = -13. Suppose -4*q - 5*r - t = 7, -3*q + 2*r + 16 = 0. Factor 2*v**3 + 0*v**2 + 2*v**2 - 4*v - 4*v**q.\nAnswer: 2*v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Let u = x - 5.4. Let g(i) = -i**2 + 7*i + 5. Let c be g(7). Sort c, 1\/2, u in decreasing order.\nAnswer: c, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(128) + 0)*5 + 1 + sqrt(128) + 3 + (sqrt(160)\/(sqrt(10) + sqrt(90)))\/(sqrt(8) + sqrt(88)\/sqrt(176)))**2.\nAnswer: 3856*sqrt(2)\/5 + 117762\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 - j**4\/4 + j**3\/3 - 5*j**2\/2 - 3*j. Let w be z(4). Suppose 17 = 2*b - w. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 bigger than 2902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*m - 42, 5*m = 6*m - 2*s - 21. List the prime factors of (-46)\/3*m\/(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594713633?\nAnswer: 53, 48956861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 5*t**3\/3 + 11*t**2\/2 - 11*t. Find the first derivative of o(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 + 3. Let g be j(0). Suppose -4*f - 8 = g*l, -l - 11 = l - 3*f. Find the common denominator of -99\/2 and 302\/40 + l\/16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, h: 4, n: 1, e: 2, r: 4}. What is prob of sequence eehy?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 18*r - 28. Let t be v(20). Suppose -t*y + 8*y = -40. Let h be (1\/y)\/((-3)\/(-36)*3). What is the nearest to h in -2\/5, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 1 + 3*s + 0*s**2 + s**2. Let t be (2 - 3)*(3 - 5). Let x be r(t). Solve 0 = 2*b - 5 - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249099 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 + 4*z + 39. Does 4 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 (base 10) in base 4?\nAnswer: 130002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 18*q + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 = 3*n - j, 4*n - j - 15 = 0. Suppose -12 = -2*f - 5*d, 4*d = n*f - 21 - 3. What is the highest common divisor of 66 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72.309141 + 54.\nAnswer: -18.309141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubhhb. What is prob of picking 1 u and 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 14749102*b**2 + 57157399*b wrt b?\nAnswer: -24*b**2 - 29498204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + 320\/56. Let z be (-44)\/(-5) - g\/(-30). Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 22 + 13)*(-2 + b + 2)*(-10*b - 720 + 720) as g + x*b + p*b**2 and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 8}. Give prob of sequence vv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19281 + 9646 - 1334*x + 9635.\nAnswer: -1334*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 12*h**2 + 6*h - 24. Let k be w(11). Let z = k - -92. Suppose 0 = x - y + 5 - z, -x = 4*y + 17. What is the third biggest value in 0, x, 0.035?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2390*z + 35376 = 1282*z - 92902 - 242 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*f + 6, 3*f + f - o = 7. Find the third derivative of 17*x**f + 2*x**3 - 3*x**2 + 10*x**3 + 0*x**3 wrt x.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5))**35*((w\/(w**(1\/33)\/w))\/w)\/w*w**10)**(-20) assuming w is positive.\nAnswer: w**(108920\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = -4*u + 2*u, -2*u = -2*n - 12. Suppose -15 = -u*c + 17. Solve 4*b - 8 = 5*g, 3*b - 4 = c*g - b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 - 3296*l**2 + 0*l**3 + 3296*l**2.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651137 a multiple of 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -74\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 75\/12 + 2 + (-3)\/12. Suppose s*y - y = 14. Solve y*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100 or 399\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 17*i - 18*i + 9 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*i**3 + 57798*i**4 + 11*i - 57797*i**4 + 9*i**2 + 15*i - 9*i**2 as h*i**4 + r + f*i + x*i**3 + t*i**2 and give x.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8102*z**2 - 24312*z**2 + 3682*z**2 - 4930*z**2.\nAnswer: -33662*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272629\/199 + -1370. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-5 - 0)*2\/(-4). Solve -3*x - 6 = -h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -47.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -13636998\nAnswer: 27273996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k - 1363*k - 451*k.\nAnswer: -1757*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 5*n**2 - 5*n**2)*(-159*n**2 - 92*n**2 - 605*n + 605*n).\nAnswer: -502*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -46*g - 7. Let v(j) = -j + 2. Give i(o) - 3*v(o).\nAnswer: -43*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, a: 1, n: 2, c: 3}. What is prob of picking 1 n and 3 d?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/6 + z**2\/2 - z. Let s = -80600 + 80595. Let m(v) = 8*v - 6. Determine s*b(x) - m(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (28 + (-11 - -7) + -15).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76262 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 3934615590.\nAnswer: 3934615589.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1876630\/1703 + 11492287269\/10788505. Let v = -6\/905 - f. Let g = v - 37. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.1, 0.065, -11444.8?\nAnswer: -11444.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 57*p - 13 = -54*p, 5*z = 2*p + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -11*x - 8. Differentiate -117*q - 26 - 19*q**x + 117*q with respect to q.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmyzmammmmmzsmmy. What is prob of sequence asm?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3\/9 + 8188*u**2\/3 - 10920*u + 98288\/9 = 0.\nAnswer: -12286, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**3 + 5*d**2 - 11*d. Let t(h) = -5*h**3 + 3*h**2 - 6*h. Let o be 3\/(-12)*-18*8\/12. What is o*f(g) - 5*t(g)?\nAnswer: -2*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1880024 != -1880024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let d(a) = -5*a**2 - 3 + 3 + 6*a**g. Let k be d(2). Calculate the highest common divisor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26573533 and 191114.\nAnswer: 584617726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 247480\/140 + 14\/49 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/13 + 306*h**2\/13 + 4860*h\/13 = 0.\nAnswer: -135, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Find the second derivative of b + 2*b**3 - 4*b**3 + t*b**3 wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*l**2*q**2 + l*q**2*v - 60*l*v - 8*q**2 - 2*q + 1653*v wrt l?\nAnswer: 36*l*q**2 + q**2*v - 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(704) - sqrt(704)) + -1)**2*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 1 - (358 + -345)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/20)*d**2 assuming d is positive.\nAnswer: d**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 + 11*j**4\/12 - 13*j**3\/6 - 13*j**2\/2 - 42*j. Is 2 a factor of k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5408, -5407, -5404, -5399?\nAnswer: -5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b*b\/b**(3\/11)*b))**(2\/11)\/((b*(b\/b**30)\/b*b)\/(b*b*b*b**2)))**(2\/15) assuming b is positive.\nAnswer: b**(7822\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-22 + (-6 + 9 - (3 - (0 - 8))))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 600? (a) 3.4 (b) 2\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251493*k - 9 - 2 - 202333*k + 11.\nAnswer: -453826*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by -168.\nAnswer: -47\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j**(-1\/9)*j)*j*j*j)\/j))\/j)**(-27)\/(j*j**(-30)*j*j*j**(4\/7)) assuming j is positive.\nAnswer: j**(773\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let x(f) = -2*f + 1. Let q(h) = -5*h + 4. Let m(d) = 3*q(d) - 8*x(d). Let i be m(l). Solve i = o - 0 - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*a + 8. Let u = 41 + -37. Suppose -l + a*i + 2 = 0, 2*l + u*i + 8 = 4*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(792)*-5)\/(sqrt(275)*2 - (sqrt(77) + sqrt(77)*-1)\/sqrt(7)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -22, -39, -60, -85, -114, -147?\n\"Answer: -2*z**2 - 7*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 80 = -2*g + 54, -5*d = 3*g - 136. Calculate the remainder when 73 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1175*l - 402*l - 384*l - 372*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -13*l + 780. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*j + 8. Let k(z) = -z**3 + 11*z**2 - 12*z - 10. What is the remainder when k(9) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 8 + 2 - 2*u**2 + 17*u**2 + 16.\nAnswer: 15*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/(-49) + -6 - (-53)\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 294 + -292. Let q = -13 + 8. Let p = q - -3. What is the third biggest value in a, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19999 + 20481.09. Let i = b - 479. Round i to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from ouxxbzuuuxxodouxbxbz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*y + 66*y - 51*y)*(5 + 4*y - 5)*(2*y**3 - 3 + 3).\nAnswer: -168*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/400)\/((-46)\/(-5))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*l. Calculate the lowest common multiple of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4458280 is divided by 442.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 856*o**3 + 4*o.\nAnswer: 856*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 + 3*y**2 - 3*y**2)*(9*y - 56 + 56)*(-y - 3*y + 0*y).\nAnswer: -180*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701 a factor of 761646618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 14. Let d(x) = 28*x**2 - x + 1. What is the remainder when d(1) is divided by ((-20)\/p)\/(18\/63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4 + 13*y - 7*y - y**2 - 11*y. Let m be s(-4). Solve m = 4*j + 3*t - 14, -4 - 31 = -5*j + 5*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/(-105))\/((-1)\/5). Let l be (-6)\/5 + 1\/5. Which is the closest to -1\/4? (a) j (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110102 + -1?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 22*m - 28. Which is smaller: m or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60566 + 3?\nAnswer: -60563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - 1. Let k be p(-6). Let j = 0.1 - 0.3. Is j >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-60))\/(-2 - (-33)\/9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 147411863 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4729.852 millennia?\nAnswer: 472985.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -14 (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 539, 2893, 8731, 19619, 37123, 62809, 98243?\n\"Answer: 261*y**3 + 176*y**2 - y + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6 + 12. Let j = y - -13. Let l(w) be the first derivative of -w**3\/3 + 2*w**2 - 4*w + 429. Calculate l(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -50*r - 1. Let p be g(-3). Suppose c - p = 240. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30247 + 30887. Calculate the smallest common multiple of 2816 and g.\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5 + 6*k + 38\/5*k**2 + 12\/5*k**3 = 0.\nAnswer: -2, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.211 * 184175\nAnswer: -38860.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/154)\/(40\/(-2800))?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31040 or -31048?\nAnswer: -31048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3955 - 2209 + c**2 + 8*c - 2*c + 2742 - 3174.\nAnswer: c**2 + 6*c - 6596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11001?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/239 + -12821\/4063. Is -4 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 12:33 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/1150531?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, j: 1, s: 1, u: 3}. What is prob of picking 1 j, 1 u, and 1 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.8904 tonnes in milligrams?\nAnswer: 114890400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 < 3817\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*n = 18, -3*x = -6*x - 4*n + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 1\/3 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by ((7803\/(-18))\/(-17))\/(3\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:40 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2587066, 367, 0.5 in descending order.\nAnswer: 367, 0.5, -0.2587066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-1 + 4 + 4) - 22. Is -304\/13 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.887 and 0.1?\nAnswer: 0.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 3*y**2 - 4*y + 1. What is i(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -300 + 718. Calculate the remainder when c is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd1 + 424?\nAnswer: -8ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30613182 or -30613203?\nAnswer: -30613203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 389?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. What is the third derivative of 2*a**2 - 3*a**6 + u*a**6 + 0*a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa71aab + -2?\nAnswer: aa71aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 122*r = -117*r + 55, -77 = -5*v + r. Solve 5*a - 19 = -v*k + 14*k, -a - k = -3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/15)*p**(-3))\/(p\/((p\/((p**0*p)\/p))\/p))**(-2\/27) assuming p is positive.\nAnswer: p**(-116\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.82, -2\/11, -0.1, -2\/3?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27193, 27192, 27191, 27190?\n\"Answer: -g + 27194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/80 - 7*q**4\/16 - 15*q**3\/8 - 23*q**2\/8 - 455*q. Let y(t) = 0. Calculate t.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 61. Let q = j - -27. Let c be ((-30)\/75)\/(q\/20). Let y(v) = -v**2 + 2*v - 1. What is y(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*s + 8, 3*q + 5 + 3 = 2*s. Suppose -2*o - 8 = q, -7*r + 2*o + 88 = -2*r. Let u = -1484 + 1487. Solve 5*l + k = r, 0 = 3*k - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/186 + (-9)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*c + 255, -101 = -3*p + 4*c + 31. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 31. Suppose -24*b + 84 = -c*b. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 79*x**2 - 86*x - 6523. Give w(-79).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 2*g**5 - g**5 + (-g**2 + g**2 + 2*g**3)*(-4*g**2 - 4*g**2 + 7*g**2) + 2*g**4 + g**5 - 2*g**4.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-11))\/(b*b**(-3\/5)))\/(b**1*b*b*b)**(-3))**8)**(-5\/16) assuming b is positive.\nAnswer: b**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 12. Suppose r = 3*x, 2*z + x - 24 = -4*x. What is the second derivative of -33*q**3 - 4*q**2 - 5*q + 17*q + 4*q**z wrt q?\nAnswer: -198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 5035 - 83365 = 0. List the prime factors of k.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16814 is divided by 82?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255738?\nAnswer: 2, 11, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 37 - 681*h + 52.\nAnswer: -681*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**6 + 31 + 118*g**2 + 2*g**3 - 120*g**2 + 9*g**6 wrt g?\nAnswer: 1440*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*m - 4*g, 0 = m + 4*m - g - 102. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 245 + 6*r - 250 - 6*r. Let m(k) = k**2 + 1. What is -h(t) - 6*m(t)?\nAnswer: -13*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/79)*g*g)**(-2\/59) assuming g is positive.\nAnswer: g**(-312\/4661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/7))**31)**33 assuming m is positive.\nAnswer: m**(5115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 468 + -388. What is the lowest common multiple of 176 and u?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1 + (-11 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.474 - 2.4. What is a rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, -0.03, -2.\nAnswer: -2, -2\/7, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -2.3. Let a = 2064 + -2063.66. What is the second biggest value in q, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 - 25*g + 138. Give b(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (31 - 60) + (-135)\/7 + (-10)\/(-35).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2280\/(-95)*11\/110*((-69)\/9 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9347 + 3011 = -16*f. Let s = -17 + 38. What is the remainder when f is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/8*-3*4. Let i be (2 + 0)*j\/(-6). Suppose 15 = -2*c + 3*c + 4*t, 4*t - 59 = -5*c. Solve c = -i*l - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4278)\/527 - (0 + (-6)\/51)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 > 1735.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 16022?\nAnswer: -16025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(21)\/(sqrt(24)\/sqrt(32)) + (2 + (-1*(sqrt(343) - (sqrt(343) - -1*sqrt(343))) - sqrt(343)))**2)*6.\nAnswer: 12*sqrt(7) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5271509 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 26*u + 457. What is b(-17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1476 (base 9) to base 6.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.34? (a) 0 (b) -4 (c) -3\/2 (d) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.06 - -0.06. Let a = 3 + -2.7. Let c be 15\/(-125)*2035\/111 - (-4)\/(-5). What is the smallest value in s, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.4 and -27.656?\nAnswer: 425.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*j - 2*j. Let w = -2180 + 2197. Calculate the remainder when w is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - -15 - 6) - 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1997\/1450 + 34\/25. Let n = p + -27\/116. Let f = -0.468 + -0.032. What is the second biggest value in -0.6, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/12*(-756)\/8. Calculate the highest common factor of b and 6741.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10831, 0.3, 11, 0.2, -5 in decreasing order.\nAnswer: 11, 0.3, 0.2, -5, -10831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 74*g + 3 - 4 - 7 in the form x*g + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -678 and 3?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 - 2. Let c be j(3). Let r = 13 + c. Suppose 31 + 117 = r*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27757.71366 to the nearest integer.\nAnswer: 27758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2961)\/(-280) + 3\/(-8) and -51\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(14)*-1)\/sqrt(7)) + sqrt(242) + 1 + sqrt(2).\nAnswer: 1 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764 less than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 24000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3 + 4487. Let i(j) = -138*j. Determine h(i(m)).\nAnswer: 57132*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:34 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f**2 + 1006*f - 205. What is the tens digit of w(73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 468*m**2 + 218*m**2 + 238*m**2 - 187*m**2 in the form g*m + a*m**2 + n and give a.\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-555)\/(-222) + (-1)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 7*f + 5. Let p be ((-1587)\/138)\/(2\/4 - 1). Suppose 14*x = p*x + 63. Determine s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 222 - 218. Suppose -5*n = -4*k - 6736 - 2704, c*n - 2*k = 7552. Does 32 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 2*c - 2*c + (-2 + 10 + 1)*(8 - 8 + 4*c) to i*c + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6*10.2\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - b81c0?\nAnswer: -b820a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/14 + 38\/7. Let i(h) = -h**3 + 7 - 6*h + 2*h**2 + h + 4*h**2. Calculate the lowest common multiple of i(m) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 + -326. List the prime factors of (-2679)\/(-94)*56\/g.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 2. Let g(r) = -5*r**2 + 3*r - 8. Let w(l) = -g(l) - 4*o(l). Let n(m) = 5*m**2 + 0*m - 3*m**2 - 2*m. What is -3*n(y) + 2*w(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -830 + 4153\/5. Let z(n) be the first derivative of 3*n**3 + 0*n - 9\/4*n**4 - 1 - 3\/2*n**2 + d*n**5. Factor z(v).\nAnswer: 3*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*v - 243 - 5*v**4 - 18*v**3 + 11*v**4 - 3*v**4 = 0. Calculate v.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6192757 divided by 11\nAnswer: 6192757\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2 - 36*j - 38 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*s - 4 = 0, 3*s - 3 = 4*l - 13. Suppose l*y + 3*v = 622, 13*y - 12*y - 3*v = 148. List the prime factors of y.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252215 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 89*w**3\/3 + 2*w**2 + 5*w + 16. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 7*s - 25. Put 0.1, -2, -4, s in descending order.\nAnswer: 0.1, -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9870 + -9599. Which is the fourth smallest value? (a) 0 (b) -0.5 (c) -1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0 + 1\/2*z**3 + 0*z - 1\/60*z**5 - 17*z**2 - 1\/6*z**4. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 26*t. Let k(x) = -9*x**2 + 16*x - 4. Let c(h) = -8*h**2 + 12*h - 3. Let p(i) = 4*c(i) - 3*k(i). Determine p(r(l)).\nAnswer: -3380*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1519 - 591. What is the greatest common divisor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 2, j: 4, c: 1, f: 1, w: 4}. What is prob of sequence hwc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -60) + (4 - 2) + (-83 - -47)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1758 or 6?\nAnswer: 0.1758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/15 + 18*o**3\/5 - 26*o**2 + 338*o\/15 = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 579650447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + 4*y - 17, -5*q + 2*y = -5. Suppose q*k - 2*f = 5*k - 30, -15 = -k + 5*f. Let l be (0\/4)\/(1 - 0). Solve l = 5*w - k - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -297 + 293. What is the nearest to 1\/8 in m, -0.4, -24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 16657 - 16670 = k, 12*k = 5*d + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70325419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 638527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 9.5. Let v = -6 - -7. Let m be v\/(-1) - 30\/(-21). What is the third biggest value in 3, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1265, 2544, 3835, 5144, 6477, 7840?\nAnswer: 9239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200199650 is divided by 3925483.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*z + 2*z + 21*z)*(-3*z + 0*z + 5*z) + (-4*z - z + 3*z)*(2 - 2 + 3*z) as m + t*z**2 + h*z and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3*2\/(-15)). Suppose d - 14 = r*c, -5*c + 5 = 4*d - 1. Suppose -h = d - 20. Calculate the smallest common multiple of 18 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c - 7*c**4 + (2 - 2 - 2*c)*(18 - 18 + 5*c**3).\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 32 = -109. Let c = u - -62. Suppose 4*h - 1 = c, -t - 5*h + 68 = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 3*u + 5*m, -5*u + 525 = 3*m - 8*m. Let h = -3 - -6. Suppose -5*q + 52 = 2*f, -4*q + 54 + 17 = h*f. What is the highest common divisor of u and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1543 divide 2914059700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 3952*i - 21663. Determine z(570).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g - 14. Let t be b(7). Let f be 8\/(-12) - t\/(-9). Suppose f*z = 7 + 5. Solve z*h + 4 - 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.68378395 rounded to 3 dps?\nAnswer: -1.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 (base 11) in base 7?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 - 6 = 0. Let x(o) = -o**2 + o. Let n(w) = -w**3 - w**2 + w. Determine m*n(q) - 3*x(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a - 25 - 3\/4*a**4 + 3\/2*a**2 - 1\/5*a**5 - 1\/3*a**3. Factor y(m).\nAnswer: -(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(19) + (sqrt(171) - (sqrt(171)*4 - sqrt(171)) - sqrt(171)) + sqrt(171))**2.\nAnswer: -40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*t + 4686, 5*t - 3*s - 2332 = 3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 2cc98?\nAnswer: -2cc9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761158587.\nAnswer: 3, 7, 59, 614333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p - 3. Let i(q) = 3*q + 3. Let k(h) = -3*i(h) - 2*x(h). Let c = 1 - 1. Give k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 36 = 3*p + 45, -83 = -5*q + 4*p for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 110. What is the closest to 1\/5 in -0.2, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8301175 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43613553 (base 7) to base 10.\nAnswer: -3751674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -374\/7 + 1489\/28. What is the nearest to p in -3, -0.3, -4, -46?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (183\/260 + 0). Let n = -69\/14 + 1759\/364. Let x = n + r. What is the third biggest value in -5, x, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170440949.\nAnswer: 7, 43, 463, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**3 + 25885*j**2 + 1651250*j - 3406000 = 0. Calculate j.\nAnswer: -65, 2, 5240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 + -175. Find j such that 8*j**4 - 12*j**3 + 144*j**5 - 2*j - 70*j**5 - 76*j**5 + 8*j**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjjm when four letters picked without replacement from jmkmgmkjkkkg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z + 46*z - 48*z to the form g + r*z and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 + 5 = 0. Suppose 3*o + f*q + 3*q = 71, 3*o = 2*q + 43. Let x(r) = -r**3 - 7*r**2 - 7*r. Calculate the remainder when x(-7) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 74*b**2 - 142*b**2 - b**3 + 2 + 15*b + 81*b**2. Let i be (8 + -2)*(-7)\/(-3). Is 9 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*w**5 + 304 - 304 - 2*w**5 + 4*w**5 - w**5 + (w**5 + 2*w**5 - 4*w**5)*(-3 + 1 + 4) + 4*w**5 - 2*w**5 - 4*w**5 + 0*w**5 - 4*w**5 - w**5.\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = -4*c, -3*p = -0*c - c + 14. What are the prime factors of (1*-755)\/(22\/(-4) + c)?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6384 by 114.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -276 divided by 6\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -4*k - 6. Let u be ((-15)\/(-2) - 2)*k. Which is smaller: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1 (c) 2214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/27)\/(3\/(-18)). Let u(p) = -7*p - 12*p + 19*p + 3*p**q. Let o(b) = b + 5*b - 7*b - 4*b. Calculate u(o(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -22. Let r be (-3 + 0)*p\/(-1). Solve 4*v - 6*l - r = -l, 18 = 2*v - 4*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8\/13, -17, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = r, -r - 4*w - w = -22. Suppose r*k + 48 - 234 = 0. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**2. Let u(c) = -7*c - 5. Let m be (-4)\/(1\/5*5). Suppose 0 = i - 3 - 2. Let f(z) = -6*z - 4. Let x(r) = i*f(r) + m*u(r). What is q(x(l))?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 18.5 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 9. Let a(h) = h**2 + 7*h + 1. Let s = -11 - -3. Let z be a(s). Let b be v(z). Solve 3*y - b = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 1)*(3*z + 1 - 1)*(-49*z**2 + 21*z**2 - 66*z**2).\nAnswer: 282*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6981413498807708 - -6981413103405813.00000184. Let r = -395401918 - t. Let x = r - -23. Round x to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)\/(u\/(u*u*u**5*u))*(u*u**5)\/u*u**(-7)*((u**(-1)\/u)**(17\/3))**(-19\/5) assuming u is positive.\nAnswer: u**(706\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.397 (b) -6\/31 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2023.9143546 - -2023.89. Round l to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7369636 - -1.4?\nAnswer: 2.1369636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {f: 12, q: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 12*f**2 - 11*f + 12. Calculate the remainder when 70 is divided by u(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(-1\/16))**(6\/7) assuming z is positive.\nAnswer: z**(1\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, -489, -2177, -5573, -11247, -19769, -31709?\nAnswer: -47637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1017867380 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c - 6. Let r(h) = -3*h**2 + 14*h + 17. Let g(a) = 17*b(a) + 6*r(a). Give g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48944 divided by -23\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 3}. What is prob of picking 2 y and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23302 + 3303211?\nAnswer: 3213303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4118205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 = -2*w, 0 = 4*w - 0*j - 4*j - 24. Let h = w + -5. Let p be ((-4)\/h - 2)*-10. Calculate the greatest common divisor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004682 to four decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from wehhhwngggp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 9*f - 10. Determine i(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (76\/6)\/((-87)\/18 - -5) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3263.\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**4 - 1 + 2*n**4 + 6*n**4 - 1 + 9*n as a*n**3 + t*n**2 + i + d*n + j*n**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 7*p - 8586. Suppose 2766 - p = o. Suppose k + g = -4*k - 4548, 0 = -2*k - 4*g - o. Round k to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/((-90111)\/6130)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/30 or 692627?\nAnswer: 692627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93639757 is divided by 1300552?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13650, 13791, 13932?\n\"Answer: 141*j + 13509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 49*k**2 + 15128*k\/5 + 14884\/5.\nAnswer: (k + 1)*(k + 122)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2746*n**6 + 5231*n**4 - 66129487*n**2 wrt n.\nAnswer: 329520*n**3 + 125544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168275?\nAnswer: 5, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 45840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -7\/446, 77 in decreasing order.\nAnswer: 77, -7\/446, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 5*x + 13, -5*i - 7*x + 5*x = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -3, 6, 19, 36?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**16)**22\/(j**(-12\/5)\/j**(3\/13)))**(-6) assuming j is positive.\nAnswer: j**(127674\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165 + (-78565)\/(-475))\/(1\/14).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*v + v = 63385, 0 = -2*g + 5*v + 42235. Let z = 3476 - -2654. Let d = z - g. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4776 is divided by 368.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5*(-17)\/(-255)). Solve 2*x = -5*w - 2*x + 22, -x + m = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9443*c**2 + 5057*c**2 + 4935*c**2.\nAnswer: 549*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -146*l - 1. Let m(a) = -584*a - 3. Let w(p) = 2*m(p) - 9*r(p). Let q be w(2). Let c = 422 - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 943 + -818. Calculate the remainder when u is divided by 76.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 24436*v**2\/7 - 64197122*v\/7 + 65889721560\/7.\nAnswer: -2*(v - 780)*(v + 6499)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f*f)**(-9)\/(f**6\/(f\/f**(-6))))\/((f\/f**(-10))\/(f**3*f))**46 assuming f is positive.\nAnswer: f**(-2391\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 14*t + 50741 - 186513. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -709\/7 + 101. Let x be (-297)\/(-819) - (-4)\/(-14). Which is the nearest to -1? (a) 0.4 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1163*z + 192 = -243 - 728 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222451?\nAnswer: 47, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v + 5850 = 19*v. Do v and -234 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4*x = 992. Let j be (1\/(-1))\/((-8)\/x). Let a = -32 - j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 839384, 839492, 839600, 839708, 839816?\nAnswer: 839924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 2*l + 4*l**2 + 5\/6*l**3 + 0 - 5\/12*l**4. Let r = 2 + -3. Let y(t) = -t**2 + t + 1. Calculate r*b(p) + 6*y(p).\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001211904191 to seven dps.\nAnswer: 0.0001212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**7\/1680 + j**6\/160 - j**5\/40 - j**4\/12 + 5*j. Let p(i) be the third derivative of b(i). Factor p(m).\nAnswer: -3*(m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/(-6))\/(-2)*756\/(-105). Let x be ((-6)\/(-4))\/(1\/y). Suppose 3*k**2 - 51*k**3 + 3*k**2 - 21*k**4 - x*k**3 + 72*k**3 = 0. Calculate k.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8962.42238426 - -8444.1338916422. Let n = d - 0.7115326822. Let q = n - -519. Round q to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*d**3 + 228304*d**2 - 6597552*d + 209216 = 0. Calculate d.\nAnswer: -934, 2\/63, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1 + 3)*1. Let a(d) = -d**3 - 7*d**2 - 2*d - 9. Let b be a(-7). Let u(l) = -2*l**2 + b*l**2 + 0*l**n. Let w(t) = t. What is u(w(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5358.\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4 - 515*i**2 - 4 + 517*i**2. Let y(t) = -356*t. Determine y(g(u)).\nAnswer: -712*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 9 = 3*r - 3*s, -2*r = 5*s + 8. Let m(o) = o**3 - o**2 - o + 1. Let x be m(r). Solve x = -4*l - 0*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2281982164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.2. Let h = y + -0.83. Suppose -23*t + 56*t = -99. Sort h, -1\/4, t in decreasing order.\nAnswer: h, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18287284 - 14230.\nAnswer: -18301514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - -35. Round k to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132\/2284891 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -131*m - 119. Calculate the remainder when 1087 is divided by s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0528573 rounded to three decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 13244*s**2 + 5 - 7711*s**2 + 6 + 0*s + 0*s + s**2 - 4*s**2 - s**2 + 6*s**2 + (-2*s - 2 + 2)*(-4*s + 3*s + 0*s).\nAnswer: -20951*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 3*g + 13. Let v(c) = c**2 + 2*c + 7. Let i(b) = -4*m(b) + 7*v(b). Let z(x) = -2*x + 15. Let r be z(6). Determine i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.49 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -925, -3694, -8309, -14770, -23077?\nAnswer: -33230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + b**4 - 5*b**4)*(3*b - 2 + 2 + (1 - 2 + 0)*(b + 2 - 2) - 1 + 1 + 2*b + (-29 - 1 + 2)*(4*b - 2*b + 0*b)) + b**5 + 3*b - 3*b.\nAnswer: 157*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5668, 0.41, -2 in descending order.\nAnswer: 0.41, -2, -4, -5668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3822461\nAnswer: 5\/3822461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -131831118?\nAnswer: -131831115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -3303303?\nAnswer: -3303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 23 + 27 - 25 - 7 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106200543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233292 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-5\/2)*g*g**(1\/36) assuming g is positive.\nAnswer: g**(-17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwgubwuguwbuwuwud. Give prob of picking 2 g and 1 d.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**2 - 7640*s + 30480 = 0.\nAnswer: 4, 1524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 17. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - 190\/(-10)) + -2 + 2. Solve 6*y = 11*y - 2*k + 6, -l*y - 16 = 5*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 - 6*d - 1. Let c be f(5). Let z = 8 + c. Calculate the greatest common divisor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-1)*(-1252)\/(-2504)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 + -91. Suppose a - j - 813 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57\/8 - -331\/8. Find the common denominator of 95\/2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*i = -75*i - 1140. Let j = i - -230. Suppose -2*t = t + 12, -5*z - t = 24. Put j, 0, -5, z in increasing order.\nAnswer: -5, z, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:18 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s - 1. Let i(w) be the first derivative of 0*w - 1\/2*w**2 - 3. Calculate -22*i(k) + 2*u(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1454 - 804. Let f = a - 650.00413. What is f rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.5 + 13.9. Let j = -514 + 511. Sort p, j, 2\/13, -1 in ascending order.\nAnswer: j, -1, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) -16 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 18, -4, -8, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33785 - -19.33785. Which is the closest to -5\/3? (a) -0.3 (b) v (c) -1 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1495590.6 and 0.4.\nAnswer: 598236.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*i + 30 = 0, -352*y + 4*i = -357*y + 45. Let r be (1 + (-6)\/4)*2. Put r, 1, y, 0 in increasing order.\nAnswer: r, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 828244, 1656244, 2484254, 3312280, 4140328, 4968404, 5796514?\n\"Answer: d**3 - d**2 + 827996*d + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10034523 by 16641.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from kakkaakakkaak?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.29 - 0. Let y = 11.71 + c. Let k = y - 12.2. What is k rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.469*-8425.8\nAnswer: 3951.7002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -194402, -388811, -583244, -777713, -972230, -1166807?\n\"Answer: -2*c**3 - 194395*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-7 - -14) - (9 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 486 = 35*b. Solve 33 = -17*l - b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/5 + 42204\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/3 (b) -12 (c) 3 (d) 3542\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 6*h**2 - 3*h + 2. Let c be m(-8). Let o = c - -152. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 983641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 + 1 = r, 4*p + 11 = 5*r. Suppose 5*q = -0*g - 5*g + 30, -5*g + r*q + 14 = 0. Suppose -g*n + 15 = -n. Solve -n = 6*l - l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 267*x**2. Let b(g) be the third derivative of 13*g**5\/60 + 993*g**2. Calculate b(f(s)).\nAnswer: 926757*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let p(a) = -2*a**3 - a - 3. Suppose -2*c - 3 = 3. Let s(z) = c*j(z) + p(z). Determine f so that s(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(72\/(-16)) - (-2678)\/18 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -108. Let j = 37 + s. Let r be 5\/(-5) - (-1)\/4. Put 4, r, j, -0.6 in ascending order.\nAnswer: r, -0.6, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Suppose -h - 1 = -o. Suppose 3*c = -o*c + 10. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147175538*i**4 - 102872645*i**2?\nAnswer: -3532212912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*q - 29, z + 5*q + 22 = -0*z. Put -2, 4, -5, z in ascending order.\nAnswer: -5, -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/(-18)*2\/3. Let j be 1 + (k\/1 - 20\/5). Suppose 2*d + 6*f - f = 25, -d + 8 = f. Sort 46, d, j in ascending order.\nAnswer: j, d, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**5)\/i)**(4\/11) assuming i is positive.\nAnswer: i**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -3*d - d. Suppose 2*p + s + d = 0, -2*s = -p - 14 - 18. Let x = p + 48. Solve -2*m - 2*m - x = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/3 - 9*o**2\/2 - 9*o - 3. Let m = -1 + -5. Give z(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6422342 to the nearest integer?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 9. Let h be l(5). Let i(j) be the second derivative of -1\/3*j**3 + 1\/4*j**2 + j - 1\/10*j**5 + 1\/60*j**6 + 1\/4*j**h + 0. Let i(x) = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -6127.1?\nAnswer: 12254.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 45 = -3*v. Solve -2*b - 1 = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g - 1. Let s(x) = 76*x**3 + x**2 - 27*x + 8. Let m(c) = 6*n(c) + s(c). Determine m(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -552*-0.1\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -30*g**2 + 13*g - 13. Let i(r) = -29*r**2 + 13*r - 13. Let a(h) = 7*i(h) - 6*j(h). Let b(y) = 11*y**2 - 6*y + 6. Calculate -6*a(n) - 13*b(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (5 + -21 - (4 + -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268 - -268. Factor 0 + o*x - 1\/3*x**5 + 0*x**4 + 4\/3*x**3 + 0*x**2.\nAnswer: -x**3*(x - 2)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 388 - -3 - 2\/(-2). Suppose -2*y - r = -6*y. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 2*a)*(3*a**3 - 13*a**3 - 10*a**3).\nAnswer: 40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-3)\/(-6) + 3. Suppose -p*i = 2*q - 3*q - 50, 56 = 5*i + 2*q. What is the smallest common multiple of i and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mccrcqcmmscmmsc. Give prob of sequence cqcs.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 0, -7*v = -5*s - 2*v - 55. Is (s - 1088)*(1 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.7312957 and 5267255.\nAnswer: 5267253.2687043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.92 times -3.3\nAnswer: -6.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -868.59 + -15.41. Let k = l + 889.036. Let o = k - 0.036. Which is the third smallest value? (a) -0.02 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 17*y = 12, 2*y - 17 = -3*q. Suppose 0 = 2*o + 8, -2*z + q*o + 118 = -0*o. Is 54 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34632 and 28912?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -715 times -92\nAnswer: 65780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 16) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, 2, -3, -0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*136\/68. Solve s*x - 23 = 3*m - 6*m, x - 3*m = -11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Which is the third biggest value? (a) f (b) -6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((-4 + 5 + sqrt(1300))*-6 + -4)**2 + -1.\nAnswer: 1200*sqrt(13) + 46901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - y + 24 = y, 3*y = 5*w - 8. Suppose -5*s + 28 = 4*q, -3*q = -w*s - s + 14. Suppose 5*c + s = -11. What is the third smallest value in -0.4, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1654)\/(-2481))\/(1\/(-14))*(-9)\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1991, 5, 10, 2, -3.\nAnswer: -3, -2, 2, 5, 10, 1991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 703, 1080, 1457, 1834?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6680*r**3 - 888*r + 4. Let v(k) = -13361*k**3 - 1782*k + 8. Let p(i) = -7*q(i) + 4*v(i). What is the second derivative of p(w) wrt w?\nAnswer: -40104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 2. Let x be n(1). Suppose -f = -3*o - 7, -4*f + 7 = -4*o + x. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 176919\/46 or 3845?\nAnswer: 176919\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1052 (base 8) to base 6.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20561, 20573, 20585, 20597, 20609?\n\"Answer: 12*t + 20549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 - 20*y**2\/11 + 2*y\/11 + 20\/11.\nAnswer: -2*(y - 1)*(y + 1)*(y + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 3*r. Let z be 2\/r + (-239)\/(-3). What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -39*m + 43*m - 69, 0 = 2*m + 18*y + 18. Sort 0, 4, m, 45 in increasing order.\nAnswer: 0, 4, m, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28434?\nAnswer: 2, 3, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.175647 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (90 + -88)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzyarzm. What is prob of picking 1 y and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-3)*2\/6. Does 8 divide (-3)\/z + 90\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/3 - 7*g**2 + g + 9. Let j = 39 - 28. What is the units digit of v(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2578 = -147*s + 6400 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 3*t + 4. Let r be y(2). Differentiate 2 + 1 - 9*k**3 + 5 + r*k**3 wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 788 (b) 0 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 + 11 = 0. Suppose 7*j**2 + 4*j**3 + 2*j - 11*j**l - 2*j**3 + 0*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*p + 157*p - 843*p + 169*p + 173*p + 171*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -14 + 8 + 8 + -21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232249, -464376, -696503, -928630?\nAnswer: -1160757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 - -9) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -31*x + 278. Let d be p(20). What are the prime factors of ((-8)\/(48\/d))\/(6\/92)?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 8*i = 874. Let w(y) = -7*y + i - 86 + 39 - 8*y. Calculate w(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 395*y**4 + 63*y**3 - 34*y**2 + 15562. Let a(u) = -113*u**4 - 18*u**3 + 10*u**2 - 4446. Let o(n) = -17*a(n) - 5*p(n). Differentiate o(m) wrt m.\nAnswer: -216*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -101100?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from cgghhicghcghhgccc?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9218.226 nanograms in grams?\nAnswer: 0.000009218226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Suppose -5*x - m - 17 = 0, -x + 11 = 4*m + m. What are the prime factors of l\/(-3*x\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2\/5, 0.4, 20, 506\/5, -10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.7 + 53.7. Let v = 8 + -8.07. Let l = v + 0.37. Which is the nearest to l? (a) 0.1 (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 857388*h - 11145875 = 0.\nAnswer: 13, 857375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -1) + (-65 - (0 - 76)) - -76\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 58463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 946962851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 1620.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 5502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 + -11 + 33 + -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) + 5 + (-2485)\/(-660). Let t = 47\/6 - s. What is the closest to 1\/22 in -0.3, t, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:22 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2491 divide 96621549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592058 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*q - 5, 94*q + 2*l = 96*q - 14. Let f(m) = -m**3 + m**2 - m. Let k(g) = 8*g**3 - 7*g**2 + 7*g - 5. Calculate q*k(j) - 14*f(j).\nAnswer: -2*j**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -10, 19, 82, 191?\n\"Answer: 2*y**3 - y**2 - 4*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fttt when four letters picked without replacement from {u: 2, t: 5, f: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/55)\/(42\/(-15)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -24*l - 551. Give y(-22).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 10922\/3*f - 170\/3*f**2 + 2\/9*f**3 - 32258\/9 = 0. Calculate f.\nAnswer: 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 393166 and 17.23.\nAnswer: 6774250.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23364162?\nAnswer: 2, 3, 239, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/4 + 27*i**2\/8 - 135*i\/2 - 1254. Determine x so that f(x) = 0.\nAnswer: -15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4452315264*w**3 - 4452315263*w**3 - 8 + 17.\nAnswer: w**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 2354*k**2 - 96222*k - 1001070.\nAnswer: -2*(k + 21)**2*(k + 1135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.379573 millimeters in centimeters?\nAnswer: 0.0379573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/15 + 1441*s**4\/6 - 2884*s**3\/3 - 308*s**2 + 2*s - 2. Factor w(z).\nAnswer: 4*(z - 1)*(z + 1442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/50*1*2)\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 16*u - 10*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-6))\/(-12)*(-2)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6 + 37*m - 1 + 51*m.\nAnswer: 88*m + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*o - 238*o = 2996. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/40 + x**4\/4 - 11*x**3\/12 + 3*x**2\/2 + 2*x + 8. Factor q(z).\nAnswer: -(z - 3)*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/60 - d**4\/3 + 11*d**3\/2 + 12*d**2 - 4. Determine r, given that z(r) = 0.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1228399248 and 5776.\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010 + 1011100000001011111?\nAnswer: 1011100000100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2610)\/54)\/(-29))\/(23310\/111).\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (-12 - (0 + -18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59235, -236936, -533103, -947736, -1480835?\n\"Answer: -59233*a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(2\/(-1)). Let u be 1*(s + (-2 - -2)). Is (-1 + u)\/(4\/(-140)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c1c2 - -18c2?\nAnswer: 3da94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390*r - 15053 = -2061*r - 41222 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1238398 times -3\nAnswer: 3715194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let v(i) = 2682260*i**2. What is w(v(h))?\nAnswer: -2682260*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/((-63)\/6))\/((-8)\/(-18)))\/((-6746)\/229364)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3\/9 - 278*h**2\/3 + 5264*h\/9 - 808\/3 = 0.\nAnswer: 1\/2, 6, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1580*n**3 - 1667*n**3 + 4*n**2 + 3251*n**3 + 15 + (-1 + 1 + n)*(3*n**2 - 2*n**2 - 2*n**2).\nAnswer: 3*n**3 + 4*n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**7\/280 + s**6\/180 - s**5\/120 + 2*s**3\/3 + 3*s. Let k(f) be the second derivative of r(f). Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060036 to 5 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by -1?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a - 633 - 24*a - 76 - 26*a + 69*a.\nAnswer: 2*a - 709","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54858396 to the nearest integer?\nAnswer: 7407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 258, 288, 342, 426, 546, 708, 918?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*r - 6*r. Differentiate -r - 2*g + 22 - 7*g wrt g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 532944783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5657200 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 17*o - 25. Let d be w(-6). Solve 0 = 4*t - d*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429 - 120. Suppose -5*a = -2074 + v. Suppose 0 = 3*j - x - 223, x = -5*j - 2*x + a. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 14*p - 11*p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m - m**2 + 1\/20*m**5 - 1\/2*m**3 + 5\/12*m**4 + 0. What are the prime factors of x(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000665 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 7311396 to the nearest integer?\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than 144.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z + 8. Suppose 0 = 5*q + 2*c + 39, -6*q - 4 = -4*q - 5*c. Let j(s) = 5*s + 4. Determine q*j(t) + 3*h(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 296\/(-76) - 72\/(-7182).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27016 + 50204. Suppose 35*k - k = x. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (1*sqrt(288) + sqrt(288)))\/(-2*sqrt(196) + sqrt(196)))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 81. Let v = -10 - -27. Suppose -3 = 5*n + v. Is j less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 1. Let l be p(-1). Suppose -3*w + u = 76, -w - 103 = 3*w - u. Let y be -3 - w*(-1)\/(-10). Is l <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 = 5*m - m. Suppose -232 - m = -3*i. Suppose 3*w - 197 = -5*j, 4*j + i = 2*w + 9. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.8299087 months?\nAnswer: 0.000235825725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218914?\nAnswer: 2, 23, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1766 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519730 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1898819 - 5?\nAnswer: 1898814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*1 + sqrt(35))*-5*-4)\/(sqrt(1372)*-1).\nAnswer: -20*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666441 is divided by 3723.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12919603 by 4.\nAnswer: 12919603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 657446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z + 10*z + 2*z + 12*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 + 3*g**5 - 9*g**5 + 2*g**4)*(-11 + 5 - 2 + (1 - 2 + 0)*(2 + 0 - 3) + 4 - 2 + 0 + (-2 + 0 + 0)*(3 + 2 - 4)).\nAnswer: 56*g**5 - 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9393.\nAnswer: 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/66)\/((-72)\/(-432)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, z: 4, x: 3}. What is prob of sequence xy?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 1. Let n be q(3). Let t = n + -7. Suppose 0 = 2*h - 18 + 6. Calculate the least common multiple of t and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 84 - ((-2 - -5) + 0 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 566, -260, -1638, -3568?\n\"Answer: -276*y**2 + 2*y + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -4706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/11)\/(b\/(b\/b**(2\/9))))\/(b**(-24)\/(b*b*b\/(b\/b**(11\/4)))) assuming b is positive.\nAnswer: b**(11405\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(4 - 2 - 1)*((-4 + 1 + 1)*(2 + 2 - 6) - 26 - 11 - 16)*(12*t - 2*t + 3*t).\nAnswer: 1911*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t - 5*t + 10*t + 2*t in the form p*t + u and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.85 + 1.04. Round a to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328173424?\nAnswer: 2, 3, 43, 375997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 9. Does 4 divide 10 + z*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**3 - 31*y**2 - 29*y + 60. Let s(r) = -21*r**3 + 131*r**2 + 115*r - 243. Let c(h) = 6*s(h) + 25*x(h). Determine c(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**2 - 3*m**4 - 138*m + 2*m**3 + 4*m**4 + 139*m in the form n*m + b*m**4 + g + p*m**2 + w*m**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/8 - 9*a**3\/2 + a**2. Let n be w(8). Let x be (2 - (-29)\/6) + n\/(-18). Solve 3*h - x*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = 2*p, 0 = -2*d + p - 3. Let o = -49\/3 + 193\/12. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715082 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 3*d + 4240. Suppose q = -3*o + o + 706, -3*o = 2*q - d. Is o a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 6*p)*(335 - 157 + 443) as j + w*p and give w.\nAnswer: 3726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0*q**2 - 6 - 1003*q**3 + 0*q**2 + 495*q**3 + 499*q**3.\nAnswer: -9*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-88)\/(-30)*(-37)\/(407\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 1. Let a(o) = -9*o**2 - o - 1. Suppose 4*y - 3*y = q + 48, -3*y = -5*q - 138. Suppose -4*m - y = -31. What is m*n(d) - 2*a(d)?\nAnswer: -2*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 9*y**2 + 3*y - 13. Does 5 divide a(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16 - 113\/4. Let p be (-62)\/(-70) - (-8)\/r. Let i = -12 - -15. Are i and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of (22 - -28702)*(9\/12 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085*w - 24021 = 18294 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -221045.\nAnswer: 1\/44209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0389 + 0.032. What is j rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 7. Calculate b(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 19*r - 12*r = 2*x + 44, 55 = -5*r - 5*x for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 14, -59\/3?\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219694333?\nAnswer: 219694333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 7:57 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1b?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60667063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 147. Suppose 3*a - 7*a + 424 = y, 0 = -y + f. Calculate the highest common factor of a and 252.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135026473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4408*h + 74933. Give l(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**7*z\/z**(1\/5)*z**(-2\/7)*(z*z*z**(-2\/3))\/z*z)\/((z**(-2\/5))**(-20))**(11\/6) assuming z is positive.\nAnswer: z**(-1976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 167125, -2 in descending order.\nAnswer: 167125, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/883573?\nAnswer: -6\/883573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52978 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 738.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -80 - 79 + 156 - 4*l**3 + 4*l - 5*l**2 + 5*l**3. Let t be p(5). Solve s + t - 16 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.95, -0.07, 0.4, 0.09, -3, -4 in increasing order.\nAnswer: -4, -3, -0.07, 0.09, 0.4, 2.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22790, -2\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-171)\/(-4560))\/((-2)\/60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -364696 and -40?\nAnswer: 364656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2768 and 8337908.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38460, -76922, -115384, -153846?\nAnswer: -192308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276 + 211 + x**2 + 69.\nAnswer: x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 902622, 902624, 902626, 902628?\n\"Answer: 2*p + 902620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9521, -3, -2, -64 in descending order.\nAnswer: 9521, -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.391 rounded to zero decimal places?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j**3 - 2901*j + 2936*j - 16*j**3)*(-3 + 1 + 0).\nAnswer: 94*j**3 - 70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l**13)\/l*((l*l**(-4))\/l*l*l)\/l*(l*l*l\/(l*l*l**(2\/7)*l*l*l)*l*l)**(-1\/38) assuming l is positive.\nAnswer: l**(1464\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 8*c**2 + 7*c - 9. Let x be t(7). Let g = -10 - x. What is the tens digit of 12 + g\/(2\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/12)\/((-6)\/(-12)). Suppose -4*o = -2*x - 4, -3*x = -3*o - 5*x + 10. Solve -o*p = 5*g - 13, 0 = -l*g - g - p + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Suppose 5*z - 1600 = -k*z - 5*q, 2*z - 675 = 5*q. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727 divided by -705.\nAnswer: 727\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5631 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17207 divided by 5.\nAnswer: -17207\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p. Let u(j) = 5*j**2 - 2*j - 7. Let q(y) = 4*r(y) - u(y). Give q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(7) + (0 + sqrt(343))**2)*5 + (sqrt(7)*4*-1 + -4)*-3)*4.\nAnswer: 68*sqrt(7) + 6908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -431.41815 rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3790000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19644116.1 hours in weeks?\nAnswer: 116929.2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + z**2 + z + 1. Let y(u) = 4*u + 3. Suppose -10*g - 8 = -2*g. Let h be y(g). Let f(l) = l**3 + l**2 + l + 1. Give h*w(t) + f(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -25.8. Suppose 4 + 32 = -3*j. Let z be (-6)\/4*j\/(-9). Which is the third smallest value? (a) 0.2 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 20*f + 31. Let l be w(-8). Which is the smallest value? (a) 3 (b) -6\/11 (c) -0.3 (d) l (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + 10\/4. Let h = 8 - 6. Suppose -2*j - 4*f + 42 = 0, -33 = -n*j + h*f + 14. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 29 + 259. Let d = x + -77. Let s = -17 - d. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.453 + -0.27. Let r = a - -0.223. Let h be (-2)\/6 - 26\/(-42). What is the third smallest value in r, h, 1, -1\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 - 3816784*k**3 + 4855928889096*k**2 - 2059299085503177344*k - 28831138969580039344 = 0 for k.\nAnswer: -14, 1272266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10902500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/13 + 16402*l\/13 - 4710188\/13 = 0. Calculate l.\nAnswer: 298, 7903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1*1\/1. Let g = 10 + -12. Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 - g. Let i(o) = 10*o**3 - 14*o**2 + 26*o. Let b(n) = 2*i(n) + 28*p(n). Find the second derivative of b(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {r: 2, f: 4, s: 2, d: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s - 1. Let y(m) = m**2 - 7*m - 8. Let o(f) = -2*k(f) - y(f). What is the units digit of o(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 365.\nAnswer: -40880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8443 is divided by 1206.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -26 - (-30 - (-4 + 13)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46431037 divided by -46431037.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) - ((sqrt(11) - (sqrt(11) + -2))*4)**2) + sqrt(11).\nAnswer: -64 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, r: 1, w: 4, y: 4, a: 1}. Give prob of picking 1 w, 2 l, and 1 a.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*j + 460*j + 66697 = 4831 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let f(z) = 4*z - 3. Let x(j) = -4*j + 4. Let h(r) = -4*f(r) - 3*x(r). Determine h(u(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4997, -4970, -4887, -4718, -4433?\n\"Answer: 5*j**3 - 2*j**2 - 2*j - 4998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (12\/10)\/((-3)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 27*m**2 - 60*m + 36.\nAnswer: -3*(m - 6)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 22*t**2 - 5*t - 1. Let n be 3\/(((-132)\/8)\/(-11)). Calculate the lowest common multiple of 77 and k(n).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**4 - 9675*z**3 - 464495*z**2 - 2525205*z - 3656790 = 0?\nAnswer: -41, -3, 1982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 - 4*a**2)*(436*a - 271*a - 280*a + 1).\nAnswer: 690*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -20048.\nAnswer: -3\/716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5\/4 (b) -0.5 (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 0. Let f(o) = -51*o + 8*o**2 + o**3 + 5 + 116*o - 57*o - 2*o**3 - 3. Calculate f(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -14) + 62 + -96\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(1\/34)*m)*m*m*m**(-6\/7))**(-35) assuming m is positive.\nAnswer: m**(-1325\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 674195 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -46 (b) -2\/23 (c) -5 (d) -0.0713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(-12)) - 1. Let r(b) = b - 1. Let c be r(2). Suppose m + 3*a - c + 16 = 0, 15 = -5*m - 3*a. Solve 2*s = l*q - m*s - 19, 2*s + 10 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*h - h + 8, 5*d + 3*h = -14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/(30\/9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/5)\/m)\/(m\/m**(2\/9)))\/(m**(2\/9)\/m**(-5)) assuming m is positive.\nAnswer: m**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 147*g + 1165. What are the prime factors of l(32)?\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 373\/7 + -53. Let j = 0.2 - 0.5. Let g be (-3)\/(-26)*(-24)\/(-18). Which is the closest to 1\/4? (a) y (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.76 + -3.24. Sort -3\/5, -0.03, d.\nAnswer: d, -3\/5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 f when four letters picked without replacement from {a: 4, x: 7, n: 1, f: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -43981\nAnswer: 17592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 33*s**2 - 40*s - 254. Let x be w(-32). Let p be (-2)\/(-8) - 44\/(-16). Solve 2*f - p*f + a = 2, -a - 4 = x*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.4 (c) -2409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a decade in months?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3*l - 5*l + 0*l) + l + 2*l - 12*l + 55*l + 1479 - 1479.\nAnswer: 50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 + 7*r**2 + 5*r + 4. Let n(t) = 65*t**2 - 156*t + 31. Let z(m) = 23*m**2 - 55*m + 11. Let h(x) = 6*n(x) - 17*z(x). Give a(u) + 5*h(u).\nAnswer: -7*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(-38) + (-2)\/19)*(-170)\/25?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -m + 65, -13572*f = -13570*f + 2*m - 98 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 10 = i. Let o be ((-6)\/4)\/(i\/4). Suppose 3*n = j + 127, -o*n - 2*j - 65 = -189. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423.7011 * -3\nAnswer: 1271.1033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 313484998 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a**3\/2 + 1733*a**2 - 6911*a\/2 + 1726 = 0.\nAnswer: 1, 3452\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*s - 3*s**2 - 4 + 3*s + 4.\nAnswer: -3*s**2 + 179*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.84238975 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2868573239?\nAnswer: 2868573239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/109 + -227\/981. What is the nearest to d in -2, 0, 2\/135?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/42876 and -151\/98879202.\nAnswer: 593275212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 - (1 - 2 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17*a + 20*a - 68562 = 0, 0 = -3*l + 4*a + 68541. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2035 and 26\/17.\nAnswer: 34595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:53 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + -11 + 6 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, z: 1, v: 4, g: 2}. What is prob of picking 1 z, 1 v, and 1 k?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15633017.\nAnswer: 2549, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(72)\/(sqrt(12)\/sqrt(2))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13855, 28038, 42861, 58648, 75723, 94410?\nAnswer: 115033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -141527 smaller than -6934850\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuk when three letters picked without replacement from uuuukkukuuuuuuuuuuuu?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 3356?\nAnswer: -3327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-17)\/2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1260 and 756.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -828*f + 30585. Give o(37).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.04, -4, 3, 85.\nAnswer: -4, -3, 0.04, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0132 - -0.0368. Which is the smallest value? (a) 0.4 (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6255531?\nAnswer: 3, 695059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41184 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6 + 588*o + 427*o + 2 to q*o + p and give q.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9729\/10 + 972. What is the common denominator of 37\/22 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*i - 193*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 9 - 3 - -27. Suppose -5*b + 5*n + y = 0, -3*b - n + 5*n = -20. Suppose 26 = 2*u - 4*h, 3*u - 55 = -b*h + 4. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1222 divided by -611.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -486*a**2. Let g(v) = 68*v**2. Determine g(m(k)).\nAnswer: 16061328*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, z: 3}. Give prob of picking 1 d and 3 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101 (base 2) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 621*q**2 + 7*q - 1. Let b be h(-2). Let z = -1338 + b. List the prime factors of z.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*l + 987 = -313 - 5 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:24 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-36))\/((-1)\/(-4))*0. Suppose b = -27*j + 20630 + 72709. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*u - 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 31795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -20, -4 in ascending order.\nAnswer: -20, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04077, 176, 41 in descending order.\nAnswer: 176, 41, -0.04077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312.6616 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-585)\/120*(92\/6)\/(-23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 6*l + 9. Let m be j(-7). Is (-471)\/m*20\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:08 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25340\/(-60) - (-10)\/(-6). Let y = b - -444. Suppose 0 = -2*l + 2*k + 14, -4*l = -7*l - 2*k + 26. What is the smallest common multiple of y and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 732\/(-90) - 0 - -8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.2 * 1.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 36.08428 years?\nAnswer: 0.3608428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -131. Suppose -u*x + 9082 = -5*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 413698 - 0.6898381.\nAnswer: 413697.3101619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -a960a1?\nAnswer: -a960a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 81*p - 446. Let l be v(24). Calculate the greatest common divisor of 1926 and l.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500)*-3)\/(1*sqrt(891)))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5787 - 4968. Solve -814*t = -a*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygjyyyjjguujjyijy. Give prob of sequence yy.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 165*l**8\/56 - l**7\/14 - 151*l**4\/6 - 739*l. What is the third derivative of p(a) wrt a?\nAnswer: 19800*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*v = -3, -4 = -f + v - 2*v. Suppose -25 + 5 = -p + r, -f*p + 4*r = -98. Let b = p - -29. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-219)\/1606*4*(-1)\/6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 125*r - 14. Let k(x) = 27*x - 3. Let p(f) = -3*i(f) + 14*k(f). Let l(y) = 15*y**2 + 14. Calculate p(l(b)).\nAnswer: 45*b**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81872, 327484, 736836, 1309928, 2046760, 2947332?\nAnswer: 4011644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*h + 90*h - 1701 + 7513 = -3956 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405170147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m - 23 - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**3\/3 + 18*c**2 - 17*c. Let s be l(16). Differentiate -3*m**2 + 4 - s*m**2 - 2 - 7*m**2 with respect to m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 71*y + 36. Let d be r(-24). What are the prime factors of 53599\/195 + 8\/d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 134088040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 1\/8*r**4 - 21 + 0*r**3 + 0*r + 9\/2*r**2. Let l(b) be the second derivative of v(b). Let m(f) = 22*f. Calculate m(l(s)).\nAnswer: 66*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-80)\/(-48))\/(5\/24). Solve -5*l - 2 = 5*x + q, -l = -4*x - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3.8, 7, 5 in descending order.\nAnswer: 7, 5, -1, -3.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/5)*v)\/v**(-2\/19) assuming v is positive.\nAnswer: v**(276\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 7:29 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*x = 0, 4 + 8 = 4*x. Suppose 18 - 336 = -h*m. List the prime factors of m.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*h - 98, 5*h = -4*s + 8*s - 122. Let g = h - -28. Solve -15 = -g*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:11 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 9012588?\nAnswer: 63088116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*j + 25, 70 = 2*i - 5*i + 5*j. What are the prime factors of (-3)\/i + (-9)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/((y**(-1\/28)*y*y)\/y*y*y)*y\/(y**(-22\/9)*y)*y*(y*y**(-6\/7)*y*y)**(-30) assuming y is positive.\nAnswer: y**(-2225\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 - 98*x**3 + 1772*x**2 + 85952*x - 178176 = 0.\nAnswer: -48, -32, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1505 and 0.5302?\nAnswer: 1505.5302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176075 (base 8) to base 5.\nAnswer: -4031243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -218? (a) -767 (b) -5 (c) 0.1 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -1489?\nAnswer: 89\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:16 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 - -205. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06053178585 rounded to 3 dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2003577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -9 + 10 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 41*v**2 + 3040*v + 442. Give g(-74).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3202231 (base 4) to base 15\nAnswer: -4474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 + 748*w**3 - 750*w**3 - 23*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 76*c + 75. Let a = 196 + -159. Let j be l(a). Is j > 2\/901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2.6, 0.07, 4 in decreasing order.\nAnswer: 4, 1\/3, 0.07, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -137*k**2 - 55*k + 415. Determine i(5).\nAnswer: -3285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25008968 by -4.\nAnswer: 6252242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 14*j - 240. Let f be 14\/j - 1\/6 - -15. What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 10 = -136. Let l be ((-115)\/(-20) + y)*(1 - -3). Sort 0, -2, l in increasing order.\nAnswer: l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -438.9 (b) -0.072 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 70. Which is greater: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(20)\/sqrt(4) + -2)**2 + sqrt(45)*-1) + -3.\nAnswer: -42*sqrt(5) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 2*x**2 - 4*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 473911.20163 - 16.3.\nAnswer: 473894.90163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.9466745 to two dps.\nAnswer: -49.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/10 + 13*z**4\/12 - 11*z**3\/6 + 11*z**2\/2 + 216*z + 2. Let p(c) = -c**3 + 7*c**2 - 6*c + 6. Give -11*p(t) + 6*v(t).\nAnswer: -t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11494934966505\nAnswer: -11494934966506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.8, -0.4, 8\/45, 0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-7 + -4 - -10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 36. Suppose 48*y - 3780 = 3*y. Let g be y\/q*(-6)\/(-7). Solve -4*w - g*f - 6 = -6*w, -1 = -5*w + 4*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006985513 rounded to five decimal places?\nAnswer: 0.00699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4171, 6029, 7887, 9745, 11603, 13461?\n\"Answer: 1858*s + 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189\/11 + -1435\/88. Let m = 5\/8 + r. Which is the closest to m? (a) 5 (b) 0.4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (39\/2)\/(15\/30) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*c + 6*c - 150, -i - 5*c = -158. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 665865 and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/2 + 276795*d**4\/2 + 19153729607*d**3\/2 - 19154283199*d**2\/2 - 9576864804*d + 9577003202 = 0. Calculate d.\nAnswer: -138398, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/(33\/(-55))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7352076731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2 + 2 - 3. Let p(r) = -r**2 - 2*r + 3. Let u be ((-12)\/(-5))\/(-3) - (-14)\/5. Suppose -6 = 4*c - u. Calculate c*p(v) + 3*k(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/5 + 128*q**4\/5 - 3832*q**3\/5 - 16896*q**2\/5 - 17424*q\/5 = 0 for q.\nAnswer: -2, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d**3 - 8*d**3 + 3*d + 0*d + 2 - 3 as m*d**2 + x + w*d + o*d**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**7\/14 - 5*b**3\/6 + 3*b. What is the second derivative of t(h) wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(-8)\/(-132)*-3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41524 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d + 47. Let f(g) = -47*g - 95. Determine 2*f(b) + 5*r(b).\nAnswer: 16*b + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, t: 2, f: 2, r: 4}. What is prob of picking 1 f and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156836 and 892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - p + 6*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 2*u**3 - 12*u**3.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 2, o: 7, m: 4}. Give prob of sequence zm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*-18*(-1)\/(-3). Suppose 0 = 4*u + d*i - 36, -i + 42 + 2 = 4*u. What is the least common multiple of -2 - 12\/(0 - 2) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -86\/11, 5\/347?\nAnswer: 5\/347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 less than 0.158952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (2 - -9) - (12 - (26 - 14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129000 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 516 + -517. Let d(p) = -6*p**2 + 1. Determine d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -5355?\nAnswer: 26775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 143*g + 4. What is r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.91*-12.5.\nAnswer: 73.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 7*g + 5*g + g**2 + 74 - 4*g in the form a*g**2 + u + q*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 715, 2\/3, -658?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100 + 100010011000100?\nAnswer: 100010000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**4 + 0 + 2*w + 0*w**5 - w**2 + 1\/10*w**6 + 0*w**3. Find the first derivative of r(a) wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42107 + -53893. Let y be p\/8*(-1500)\/(-9). Round y to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48239 and -0.09.\nAnswer: 48238.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + 8 + (-5 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 775085, 775264, 775563, 775982, 776521, 777180, 777959?\n\"Answer: 60*s**2 - s + 775026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/6 - 5*n**3\/6 - n**2. Is z(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.214 + 0.014. Let d = 3.5 + l. What is the closest to 3 in 1, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 11 = 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57262 and -14.5.\nAnswer: 57247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/90*5 + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 17. Let n = w + -115. Solve 2*o - t - n = 1, 3*o - 6 = t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-7)*122038\/(-3032). Let b(n) = n**2 - 24*n + 31. Determine b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n + 143. Let x be l(13). Let m be (3\/(-2) + 3)*10. Let j = m - 16. Sort x, 6, j, -2 in descending order.\nAnswer: 6, x, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2 = 2*w, -2*p = 745*w - 750*w + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:37 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 38. Let v(l) = -l - 2*l - 3 + 42*l**2 - j*l**2. Let x(y) = y - 8 - 3 - 4 + 16 - y**2. Determine -v(c) - 2*x(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32371 is divided by 6472.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 8. Suppose -q = -4*m + 17, -8 = j*q - 4*m - 0*m. Solve -4*x = -i - 16, x = -2*x + q*i + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08989 + 156347\nAnswer: 156347.08989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291621 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + z - 5*z)*(2 + 2 + 1) - 5*z + 4*z + 3*z to i*z + r and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -486 + 946. Is 460 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a second in milliseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117)*-2 + sqrt(117) - sqrt(117))*-1)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13765525 (base 8) in base 10?\nAnswer: -3140437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + y - 11 = 0, r + 6*y = 9*y - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*m - 4*k + 18, -16 = -5*m + k. Suppose -5*a - 22 = n - m*n, n - 2*a - 6 = 0. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/55)\/(-16)*(-1)\/(-1)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*l = 0, -42 = -5*q - 5*l + 28. Suppose -5*h - 2*j - q = -32, 4*j = 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 132*k - 135.\nAnswer: 3*(k - 1)*(k + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 35 + 9 - 4 + 28 - 582*p to t + s*p and give s.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 24*z**2 + 70*z + 4. Let d be f(-7). What is the closest to 1\/5 in -270, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8 - 1aa0a1?\nAnswer: -1a99a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 54865690 to the nearest one hundred thousand.\nAnswer: 54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*o + 320*o - 645*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00203218 to five dps.\nAnswer: -0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*o - 10, -138*k + 142*k - 3*o - 22 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*a - 0 + 1, 5*g - 3*a = 13. Suppose -1361 = -p - 0*p + 5*d, -6805 = -5*p - g*d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113167867 - 3?\nAnswer: 113167864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -133?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 152\/56)\/((-1418)\/(-411929))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + sqrt(80) - sqrt(20)\/sqrt(144) - 5*(-4*sqrt(20) + sqrt(15)\/sqrt(3) + 5)).\nAnswer: -22 + 233*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 - 15 - 9*d + 42 wrt d?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/3563 and -27\/386?\nAnswer: 1375318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/5)\/h))**(-26\/7)\/((h**(-6)*h)\/(h*h*h**(3\/5)\/h)) assuming h is positive.\nAnswer: h**(23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x)**(-49)\/(x*x*x**(-5)\/x*x*x**1)*(x**2\/x**(1\/7))**(9\/7) assuming x is positive.\nAnswer: x**(-6773\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1, 4*v - 148 = -2*i - 2*i. Solve 98 - i = 20*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7264*b = 42534 + 88218 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 1028083.3781828.\nAnswer: 1028089.3781828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-11)\/p*p**(2\/5))**(-23))**9)**(-1\/8) assuming p is positive.\nAnswer: p**(-6003\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 4*q - 25. Find the second derivative of -4*u**q + u - 3*u**5 + 4*u**5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 + 3*a. Let x be (8 + -6)*(-2)\/2. Let v be q(x). Suppose v*u - 225 = 13*u. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 35. Suppose i - 2*i - f = -7, -1 = -4*i + u*f. Suppose -2*b + 9 = -2*t + 21, i*t = -5*b - 12. What is the third biggest value in b, 0.2, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/10)\/((-2)\/52130) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13560 and 10848?\nAnswer: 54240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477777843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*v - 619*v + 8131 = -4365 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40, -403, -1390, -3313, -6484, -11215, -17818, -26605?\n\"Answer: -52*z**3 + z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**7\/840 + d**6\/180 + d**5\/40 - 7*d**3\/3 - 12. Let i(w) be the third derivative of y(w). Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-154)\/22)\/(-7))\/(((-1392)\/(-18))\/(-8)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3 + 3 - 4)*(207*w - 3*w**2 + 4*w**2 - 88 + 89).\nAnswer: -4*w**2 - 828*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 472524*c**2 + 76*c - 77. Is v(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1359, 6600, 0 in ascending order.\nAnswer: 0, 1359, 6600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, -18, -54, -104?\n\"Answer: -7*a**2 - a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q + 2783 - 2309 - 7*q.\nAnswer: 7*q + 474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 166500491\nAnswer: -49950147.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**8\/560 + j**7\/70 + j**6\/24 + j**5\/20 + 13*j**3\/6 + 14*j**2. Let y(n) be the first derivative of p(n). Factor y(d).\nAnswer: 3*d*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-4))\/((-7)\/(-28)). Let r be (18\/w)\/(-1) - 1. What is the units digit of (-1 - -2)\/(r\/55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:39 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -198\/53 - -23205\/6254. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.1436243 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/18 and 15\/6 + 38918\/(-16632)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 275\/40 + -2 + 34\/16. Find i, given that -k*i**3 + 5*i**2 + 12*i - 8*i - 10*i**2 - 7*i**2 = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -210, -248, -234, -150, 22?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 213817423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1\/9 (c) -1 (d) 5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 38 = 5*x. Suppose -3*q - 54 = 18. Let f = x + q. Calculate the remainder when 40 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/24 + a**3\/6 - a**2. Suppose -5*c = 2*u - 0*u + 2, 4*c + 1 = -u. Give v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 64. Let i(q) = -n - 6 + 9. Let p(w) = -w + 5. What is 4*i(g) - p(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*h - 2*b, 3*b = 6*h + 2*b + 28 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 23069114 = 61949114. What is b rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2 - 2)*(4 - 2 - 1) - 73*l - 1464 - 1461 + 2939.\nAnswer: -75*l + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**4 - 4*z**2 + 4*z + 26*z**3 - 2*z + 6*z**2 - 18*z**3 as k*z**2 + i*z**3 + s*z**4 + o*z + l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddddfsdfqdsffdfd. What is prob of picking 1 f and 1 s?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 8745*t**2 - 8745*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (5 + sqrt(1872))) + sqrt(117)\/sqrt(1296))**2 + ((4*sqrt(104)*-2)\/(4*sqrt(128)))**2.\nAnswer: 655*sqrt(13)\/6 + 227161\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0*q - 4 - 3 - q + 8. What is w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*2\/3*1\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-39)\/(-12) + -3). Let g = n + 7. Solve -g*p + 2 - 5 = -3*i, 4*p = i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(108)\/sqrt(9) + -4.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11463364)\/504 - 4\/14. Let t = l - -22751. Find the common denominator of -107\/42 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*q + 9*q - 44*q to s*q + r and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-858)\/99 - 1\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 128*x - 1034. Determine u(-71).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/20 - 2*z**4\/3 - 5*z**3\/6 + z**2 - 2*z. Let u be h(-7). Is 40\/u*(-78)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 19*s**2 - 21*s + 36. What is the hundreds digit of z(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 5\/42*s**7 + 5\/12*s**4 + 0*s**3 + 0 + 0*s**2 - 1\/4*s**5 - 1\/6*s**6 - 38*s. Factor w(f).\nAnswer: 5*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -66 in decreasing order.\nAnswer: 4, 3, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-1\/6)\/(y*(y**(-1\/3)*y)\/y)**(-46))\/((y**(-4)\/((y*y*(y**4*y)\/y)\/y))\/(y**(-2\/5))**16) assuming y is positive.\nAnswer: y**(1003\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*p - 15392, -2*w - 10268 = -p - p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13.6, -2\/75, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-5\/2)*(j**(-1\/3))**(-48))\/((j**(2\/7))**(-2\/65)\/((j*j*j\/(j*j*j\/(j*j*j**5*j*j*j)*j*j*j*j))\/(j\/(j\/(j*j*j*j**(-2)))))) assuming j is positive.\nAnswer: j**(9559\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74\/255 - -8\/51. Let t(k) = -4*k + 15. Let f(o) = -o + 4. Let z(b) = -22*f(b) + 6*t(b). Let l be z(2). Sort l, p, 4 in ascending order.\nAnswer: l, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(2*sqrt(10) - sqrt(10)))\/(sqrt(55)\/(sqrt(5)*1)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -9*r**2\/2 - r + 3. Is s(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-5 + (sqrt(88)\/(sqrt(32)\/sqrt(4)))**2 + (sqrt(11) - ((sqrt(55) - sqrt(880) - sqrt(55))\/sqrt(5))**2) + -3).\nAnswer: -5*sqrt(11) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-905*q + 695*q - 1437*q)*(-2*q - 5*q + 3*q).\nAnswer: 6588*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49367727.\nAnswer: 3, 61, 89923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -43*k**6\/360 - 83*k**5\/180 - 37*k**4\/72 + k**3\/6 - 614*k**2. Factor i(g).\nAnswer: -(g + 1)**2*(43*g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f - 3 = -71*f. Is f equal to -6\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 261?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Solve f = z + v, 4*z = -4*v + v - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60521188 by -8372.\nAnswer: 7229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2\/9 + 165908*q\/3 + 58787128\/9 = 0. What is q?\nAnswer: -118, 124549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 9*s**2 - 9*s - 4. Let a be r(10). Let v be -6*-1*2\/a. What is the first derivative of -1 + 3 + v*c**3 - 5 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 - 4*y. Let o(n) = -8*n**2 - 11*n. Suppose -5*f + 24 = 4. Let x(p) = f*o(p) - 11*d(p). Let v(h) = 2*h**2. Calculate x(v(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r - 8. Let d be l(-1). Suppose -d*m = -5*x + 134, 0 = x - 0*x - 5*m - 18. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-7 - (-10 + -8 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.039 + 0.039. Let z = 7.1 + i. Let t = z + -0.5. Is t equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (339962\/(-520350))\/((-7)\/10)?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 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: Put -5, 5, -3, -2 in decreasing order.\nAnswer: 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/19 - 836748*v**4\/19 + 5020534*v**3\/19 - 10877856*v**2\/19 + 10041112*v\/19 - 176160 = 0?\nAnswer: -418380, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 1, w: 3, z: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797906784.\nAnswer: 2, 3, 677, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)*2 - -1*sqrt(88)*-4)\/((-2*sqrt(64))\/sqrt(8) + 2*sqrt(8)*-2).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-2\/3))\/y)\/y)**45*(y**(-1\/8)\/y)\/y*y\/y**(1\/8))\/(((y**(-1\/15)*y*y)\/y)\/(y*y**(-6)*y)*(y*y**1*y*y)**(-12\/7)) assuming y is positive.\nAnswer: y**(-6017\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24)\/sqrt(4))\/sqrt(3).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6857, 6853, 6849, 6845, 6841?\nAnswer: 6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-2)\/20). Let d(u) = -2*u**3 + u**2 + 4*u + 5. Let r = -20 + 19. Let x(g) = -g - 1. Calculate a*x(z) + r*d(z).\nAnswer: 2*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 48*d**3 - d - 261. Let r(i) = -147*i**3 + 3*i + 783. Let m(y) = 8*q(y) + 3*r(y). Differentiate m(c) with respect to c.\nAnswer: -171*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.9791l to millilitres.\nAnswer: 263979.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12521567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5612)\/427)\/23)\/((-20)\/5*3\/210)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let i = 7 - 7.1. Let z = x + i. Is z > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50\/7 + -7. Let k = -0.2 + 2.2. Let i = 2.5 - k. Put i, -2, m in ascending order.\nAnswer: -2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*q - 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 22*r**2 + r + 82. Calculate n(-22).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*m + 326 = 127*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 5*w**2\/2 - 3*w + 164. Determine q(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41102*p**3 - 20550*p**3 - 20549*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9456 + -9396. Calculate the remainder when j is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + q**4 - 5*q + 1 + 3*q + 46*q**3 to the form j*q**2 + u*q**4 + p + m*q**3 + r*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9177, -8983, -8793, -8607?\nAnswer: -8425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + 34?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529168*s**2 + 264580*s**2 + 264586*s**2 - 230*s.\nAnswer: -2*s**2 - 230*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + 11*m - 5. Let s be p(-5). Let a(k) = 6*k - 80. Let b be a(s). Calculate the greatest common factor of b and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x. Let v(c) = -c**3 - 22*c**2 - 62*c + 42. Let s be v(-4). Let i(h) = -2*h - 4 + h + 3. Calculate s*i(k) + t(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49 - ((2 - 0) + 0). Suppose j + 15 = -3*y, 5*j + 2*y + 123 = -y. Let q = j + b. Round q to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9031928 or 9031936?\nAnswer: 9031928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 495\/121 - (-2)\/(-22). Suppose 0 = 2*a - 5*a. Suppose -2*u + 0 + p = a. Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/11 and -13\/145546?\nAnswer: 1601006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + 2 + 0 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Suppose 0 = 7*m - 3*m - 48. Suppose -3*c + 2*c - 14 = -3*g, 5*g + 4*c = m. Let b(d) = -7*d + 6*d + g*d. Calculate b(w(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262524 divided by -3.\nAnswer: -87508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2212030?\nAnswer: 2212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, w: 1, u: 1, p: 4}. What is prob of picking 1 p and 2 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-35)\/(-98)) + 1\/5. Let t be 415\/3 - (p + -11). Which is bigger: t or 146?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q + 14. Let k be p(-3). Let o be (-2)\/(-4) + 114\/12. Let m(w) = -56 + 27 + k - o*w. Let r(u) = 3*u. Calculate r(m(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {b: 1, r: 3, p: 1, q: 5, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32854 - -49236. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from hahhahzhhhahzhhzhh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398638184 is divided by 8517.\nAnswer: 8516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 24*o**2 + 4*o - 3. Suppose -23*k + 12 = -19*k. Does 32 divide q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 273 - 1278 = 0. Find w such that 200*w**3 - 977*w + 235*w**4 - 15*w**5 - 206*w**3 - 2390*w**2 - 604*w**3 - 204 - 958*w - f = 0.\nAnswer: -1, -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003171783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108807*o**3 - 227909 with respect to o.\nAnswer: -326421*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2 and -35\/86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (369\/12)\/(198\/(-66))*-8*9\/9?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 497, 759, 1029, 1307, 1593?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 501.1 + -478. Let a = 23 - u. Let p = 4.9 - a. What is the second smallest value in 3, p, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1770, 1748, 1712, 1662, 1598, 1520, 1428?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(99)\/((sqrt(6) + sqrt(12)\/sqrt(2))\/sqrt(2)))\/(sqrt(1331) - -1*sqrt(1331)*-2 - (sqrt(1331)*1*6 - sqrt(1331))).\nAnswer: sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162174*d**5 - 2*d**3*r**2 - d*r**2 - 39400*d - 21 wrt d?\nAnswer: -3243480*d**3 - 12*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h = 3. Calculate the remainder when ((-12)\/4)\/(3\/6)*h is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 3*t. Let o(r) = 1529*r. Determine o(d(q)).\nAnswer: -13761*q**2 + 4587*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - v**2)*((1 - 6 + 2)*(-4*v + 2*v + 0*v) + 4 - 2*v - 4 - 17 - 6*v + 17)*(-1 - 1 + 6).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*f*v**4 + f*v - v**5 - 1657*v**2 wrt v?\nAnswer: 6768*f*v - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.88 in 4, -4, -0.1, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(2\/5)\/d)))\/(d\/(d*d\/d**(8\/3))) assuming d is positive.\nAnswer: d**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1106929 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70255355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - ((-840)\/(-7))\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9022412, 9022410, 9022408, 9022406?\n\"Answer: -2*k + 9022414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 7, -1\/2, 2, 4, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 - 3394.\nAnswer: -3560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*x - 1, -3*i + x = 3*x - 3. Let w = i - -3. Let r(b) = 5*b + 5. Let c be r(w). What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41712537 and -41712532 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 14 = 7*w. Let s = -10 - w. Solve 4*n = -4, 0 = -s*i + 2*n + 20 + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**2 + 2*y**2 + 4*y**2. Let h(o) = -o**2 + 4*o**2 + 0*o**2. Give h(r(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 43, -5, 2, -0.08.\nAnswer: -5, -0.08, 2, 21, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15*u = 0. Let t be (u - (-25)\/10)*(-24)\/10. What is the second smallest value in 0.3, -0.05, t, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bjxjxxbbjryrrjjyhy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + (-298)\/6. Let u be l\/(-28) - 3\/2. Let f = -2.29 - -3.29. Which is the second biggest value? (a) 0.3 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2. Let u(h) be the second derivative of 7*h**4\/12 - 69*h. Give z(u(p)).\nAnswer: -245*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*a + x - 2*x, 5*x - 35 = 3*a. Let y be (-50*(-1 - a))\/((-11)\/3245). Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-1 - (-7 + 0 + 5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455229956?\nAnswer: 2, 613807489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from vvzvzz.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 e when three letters picked without replacement from wpwwvvuevwweo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3555 - 104 = 29*i. Find the third derivative of -37*u + 5*u**2 - 45*u + i*u**3 + 89*u wrt u.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*m - 0*k + 150, 0 = 5*m + 4*k - 189. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from {k: 7, m: 2, y: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2. Let p = -17 + 12. Let j = p + 9. Let d(v) = 6 - j - 2 + 4*v**2. Calculate d(y(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -16784383.\nAnswer: 335687.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 0*v - v)*(-3*v - v + 2*v) - 5*v**2 - 26*v**2 - 31*v**2)*(4*v - 5*v - v).\nAnswer: 116*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:59 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -4*(-2 + 3). Let s = 706 + -563. What is the second biggest value in s, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*q + 49. Let t be q\/(-9)*(-90)\/70. What is the closest to 1 in 0.2, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 542*q**2 - 256*q**2 + 195*q**2 + 3051*q**2 as d*q**2 + c + w*q and give d.\nAnswer: 3532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330 + 336)\/(4\/(-10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-80)\/(-12)))\/(27\/270*3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 179458\nAnswer: 5563198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**21*r*r\/((r*r**2*r)\/r) assuming r is positive.\nAnswer: r**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*p = -361, 2*m - 4*p + 91 + 45 = 0. Let k = 278 - 134. Let n = k + m. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:50 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277363885.\nAnswer: 5, 863, 64279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -280179*u**4 - 4*u**3 - 1556496*u**2 wrt u?\nAnswer: -6724296*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + 6520?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78491 is divided by 2609.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010000011011111110 (base 2) in base 12?\nAnswer: 565592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a + 3*a**5 + 2*a**2 - 2*a**2 + 2*a**5 wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c - 4*c + 10*c - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42, 8, 142, 402, 830?\n\"Answer: 7*i**3 + i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -4 + -33 - -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (121 - -31 - 67) + -59?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -170*z - 1706. Give t(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**3 - 2*s**2 - 3*s + 3. Let h(t) = 4*t**3 + 3*t**2 + 4*t - 4. Let o = -3 + 5. Let g(b) = o*h(b) + 3*j(b). Give g(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36820 and 1120?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4 - 6. Let a be s\/3*(-33)\/(-11). Suppose -5*p + 135 = 10. Solve -5*w + p = 3*u, -8 - 2 = 2*u - a*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -9\nAnswer: -47\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755870 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f**2 + f. Let k be n(-1). Let c be (-84)\/k - 38\/(-209). Suppose 0 = -0*j - c*j + 72. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 4. Let h(l) = l - 2. Let o be h(2). Let j be s(o). Suppose -2*b + 2*n - 4*n + 52 = 0, j*b - 64 = 4*n. Solve 2*y = 4*q, 4*y = -b + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 43226*d. Let o(h) = -4*h - 7. What is o(x(r))?\nAnswer: -172904*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.8 * 1073917.\nAnswer: 11598303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4557 + 7*t**3 - 4557.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 131560 and 46?\nAnswer: 131560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 - 69117*p**2\/4 - 69111*p\/2.\nAnswer: -3*p*(p + 2)*(p + 23037)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1371*o = -1379*o - 112. Put o, 2, -4 in increasing order.\nAnswer: o, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d + 24 = 35*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759089973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.0623 + -112.0692. Let a = -0.04 - -70.04. Let x = s + a. What is x rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -147\/1186 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10452601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 722311.4 hours?\nAnswer: 2600321040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 not equal to 1.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325245?\nAnswer: 3, 5, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 15*y**2 + 27*y + 6. Calculate the remainder when u(7) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 84 + 40 = 5*m, 82 = 3*m - 5*f. Let h = -4 + 4. Suppose -56 - 29 = -5*u - 5*b, 5*u + 3*b - 75 = h. What is the highest common divisor of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 749174886 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to 24527\/734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 + 1 = 0. Suppose s + m*s - 9 = -3*p, 3*s - 17 = 5*p. Solve -a + s*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2114*w = 2084*w + 150. Solve 3*t + w*a - a = 16, 4*t - 3*a + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1702, 1701, 1698, 1693, 1686, 1677, 1666?\n\"Answer: -a**2 + 2*a + 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c - 16*c + 112. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/26 + (-18)\/(-4). Suppose -4*y - 3*u = -v, -2*y + u = -2*u - 20. Suppose f - y*f = -213. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -124. Which is the closest to o? (a) -1 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let m be 0*-1*(1 + v). Suppose 2*n - 5 = 3*l, 5*n - l - 20 - 25 = m. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -78\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 60 + 18. Let j be (81\/(-2))\/(d\/176). List the prime factors of (j\/30)\/9*(-15 + 0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 28, -120, -432, -962, -1764, -2892, -4400?\nAnswer: -6342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 3. Let l be m(-7). Suppose l = -0*b + 2*b. Suppose -b*o + 2*h + 156 = 0, -27 = -3*o + 4*h + 61. What is the highest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(36\/(-8)) + (-38)\/30.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-3))\/(2480\/(-465)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2388\/(-16))*40\/15. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 339*s**2 - 169*s**2 + 2*s**3 - 169*s**2 - 2 + 5*s + 5*s**3 as w*s**2 + g*s + c + t*s**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1483 + 1030. Let l = -250 - n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1847?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1199)\/(-2398))\/(3\/(-40))*(-2)\/5*-9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*23*425\/575?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6775*n**3 + 5*n**2 + 2007*n + 19 wrt n?\nAnswer: 40650*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -224, -345, -470?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let s be (4\/y)\/((-2)\/3). What is the derivative of 4*c - 4*c - 2 + s*c**3 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19950908 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6484 + 12216. Let r = 10153 - v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-15) + -78*185\/(-50). Let r be ((-8)\/10)\/(248\/(-120) - -2). Calculate the greatest common divisor of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtpphtpdppkdpfdhttpd. What is prob of sequence td?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from ynycnnyynnnyynyc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01188750387 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36455472 divided by 1518978.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 335.516870171.\nAnswer: -335.616870171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43790974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 9*s - 407 + 387. Solve 3*m = 2*m + 2*h - 7, 10 = s*m + 4*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*m = -29, -4*s + 0*m + m - 40 = 0. Let y(w) = w + 2. What is y(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/20 + j**4\/2 + j**3 - 2*j - 2. Let m(b) be the first derivative of l(b). Let a = 5 + -9. Calculate m(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170476188?\nAnswer: 2, 3, 251, 56599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076 - 5.\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 12) in base 6?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10522 or 10514?\nAnswer: 10514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111101000 + 100000010011?\nAnswer: 101101111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 16*y**2 - 1525*y - 2. Let a(b) = -b**3 + 10*b**2 + 1017*b + 1. Give 8*a(m) + 5*v(m).\nAnswer: 2*m**3 + 511*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580054219?\nAnswer: 43, 3637, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/741? (a) 2162 (b) -5 (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -0.4 (c) 5 (d) 0.4 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q. Let c(k) = 497*k**2 - 20*k + 4. Let l(o) = -3480*o**2 + 145*o - 29. Let i(n) = 29*c(n) + 4*l(n). Calculate f(i(m)).\nAnswer: 1972*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/31, -0.5, -5, 0?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2940) + (sqrt(2940) + sqrt(2940)*-2 - sqrt(2940)) - (sqrt(2940) + sqrt(2940)*2))\/(sqrt(132)\/(sqrt(33)\/sqrt(3)*-4)))*4.\nAnswer: -8 + 448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 442 + -430. Solve -w*c = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by -58199\nAnswer: -83\/58199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1085, -2171, -3257, -4343?\n\"Answer: -1086*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*x**2 - 218*x**3 - 62*x**2 + 220*x**3 to the form r*x**3 + d*x**2 + a + s*x and give d.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*c - 128 = 0, 7*u + c = 8*u - 32. What is the highest common divisor of u and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -3*c - 3\/4*c**3 - 1\/16*c**4 - 27\/8*c**2 + 0. Find s, given that v(s) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -36*q - 1471. Determine a(-42).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80365\/14 - -5736. Let k = -32 + -31. What is the common denominator of m and (-1)\/(-2) - k\/(-33)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3210 + 3399 - 6339 = 54*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 106719513 divided by 4\nAnswer: 106719513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**4 - 2518*k**3 + 3639*k**2 wrt k.\nAnswer: -96*k - 15108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 l when three letters picked without replacement from {l: 3, y: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -132003002 (base 4) to base 15\nAnswer: -266ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**5\/20 + w**4\/2 + 7*w**3\/6 + 5*w**2 - 3*w - 1. Let y(u) be the first derivative of f(u). Is 5 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 394 (c) 2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1693, 3362, 5025, 6676, 8309, 9918?\nAnswer: 11497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*l + 35. Let w = 79 + -73. Suppose 4*n = l + w. Solve 0 = 4*m - 6*m + 2*i - n, 0 = -5*m - 5*i - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * 0.6\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339724 - 0.5.\nAnswer: -339724.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 4*w**2 + 3*w + 15. Let x be (-4)\/18 - (-5 + (-440)\/(-45)). Calculate a(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3, -4 = -k + 4*j + j. Let f be -1 - 45\/(-39) - (-55)\/572. What is the nearest to k in -1, f, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 2*n = 150*l - 634, -8136*n = -4*l - 8138*n + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*v - 28, 2 = -2*v - 2. Suppose d = -o + 3*o. Suppose -2*s - 5*u + 1901 = 0, -5*s = -u - o*u - 4703. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10*q + 57 = 4*g, -5*g - 10 = 0. List the prime factors of ((-828)\/15)\/(q\/65).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 + q**4\/8 - 13*q**3\/6 - 13*q**2. Let g be y(-6). Solve 0 = -g*o + 27 - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*w**3 - 27882*w**2 - 130*w + 220929487?\nAnswer: 9*w**2 - 55764*w - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 2962941?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 9 + 15)*(1 - p + 0*p + 2*p) + (-1 + 1 - 1)*(-4*p + p - p).\nAnswer: 24*p + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5892497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**5\/20 - m**4\/3 + 5*m**3\/6 - 5*m**2 - 2*m + 8. Let a(p) be the first derivative of w(p). List the prime factors of a(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*t + 125*t + 25*t - 176*t.\nAnswer: 190*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -144321.6385 to the nearest 1000.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 616705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 9:16 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476358 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 716. Let l = a - 679. What is the second smallest value in -0.07, l, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -3?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2268198.3 months to millennia.\nAnswer: 189.016525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -8.1, -543, 4\/3, -2, 5?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010111010000110 (base 2) in base 10?\nAnswer: -175750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 18\/(-12)*(-4)\/6. What is l rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1334546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001180589 to seven decimal places.\nAnswer: 0.0001181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1, -5, 3 in descending order.\nAnswer: 15, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/((f*f**0)\/f)*(((f*f*f**(3\/4)\/f*f*f)\/f)\/f)\/(f*(f*f**(2\/7)*f)\/f*f*f*f) assuming f is positive.\nAnswer: f**(-183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1068 - 0.0398. Is h greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-2))\/(3\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 g, and 1 n when four letters picked without replacement from {o: 2, e: 2, j: 2, g: 3, r: 1, n: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**0\/r)\/r)**(1\/11)\/(r*r**27*r**(-8)) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2975491, -2975508, -2975525, -2975542, -2975559?\n\"Answer: -17*q - 2975474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 = 49. Suppose -k = r - 8. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + (-3 - (1 - 4) - 9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**3*q**3 + 36*p**3*q - 130*p**3 - 6*p with respect to q.\nAnswer: -12*p**3*q**2 + 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -4*o - 2*i, -2*o + 10 = 3*i. Suppose o*z - 7*z = -16. Let c = -0.06 - 0.44. What is the third biggest value in z, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/9 - 2396*i\/9 + 424802\/3 = 0. What is i?\nAnswer: -1597, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4200 - d**3 - 4191 - 4197 + 12588.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2622215 by 524443.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714088913 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2299427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.02 + -0.02. Let i = -99 - -293\/3. Which is the closest to i? (a) r (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**8\/112 - n**7\/70 - n**6\/40 + n**5\/20 - 25*n**2\/2 + 15*n. Let b(g) be the first derivative of i(g). Factor b(a).\nAnswer: 3*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35745 + 2.1\nAnswer: -35742.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74704.11 rounded to the nearest 1000?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222843, -222878, -222931, -223002, -223091?\nAnswer: -223198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34167 = 3*p + 3*u, p + 4*u - 11383 = -0*u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) - 1*sqrt(66)))\/(sqrt(24)\/(sqrt(4)*1)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) 2 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.196\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*h = -5, 0 = -26*n + 22*n + 3*h - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(5\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 46. Does 4 divide 9 + (1 - (5 + o))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -181 and 152.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 24*i**5\/5 - i**3\/6 + i**2. Let z = -2 + 1. Is r(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1174 and 2?\nAnswer: -2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 8, 4, -2\/3, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 6584256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 16*p + 249. Let f = 117 + p. Let b = f + -30. Solve b*r + 4*d + 12 = 0, -3*r + 2*d = -d + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6865015716 divided by 6?\nAnswer: 1144169286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(119) + sqrt(119)*2 + sqrt(119))*-4)\/(sqrt(84)\/(sqrt(36)\/sqrt(3)) - (sqrt(35)*-2)\/sqrt(5)))**2.\nAnswer: 69632\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1020 and 25212258?\nAnswer: 252122580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + (-10380)\/(-90). Suppose -66*r = -43*r - m. Solve -r*b = -b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 97 (b) -4\/7 (c) -140 (d) 6\/11 (e) -3\/7 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**3 - 4*h**3 + 3*h**3)*(2*h + 0*h - h) + 2*h**4 - 3*h + 3*h + h**4 - 2*h**4 - h**4 to the form l*h**4 + x*h**2 + g + j*h + p*h**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmy when three letters picked without replacement from {m: 2, b: 2, r: 1, v: 1, y: 4, i: 5}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (40 - 18)) + -1 + -33 + 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 596 and 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 409, 1299, 3031, 5887?\nAnswer: 10149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1 + 4*c - 5 - 2*c + 2*c. Let x be a(2). Solve 4*m + 15 = -4*r - 9, 0 = -r + m - x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -36.7. Let v(x) = -2*x**2 + 18*x + 1. Let w be v(9). Which is the nearest to w? (a) 21 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let k = 0.8 + -0.2. Let w = k - 0.4. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34207, 68291, 102375?\n\"Answer: 34084*i + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 512392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-14)\/(-8))*4. Let a(p) = -5*p**3 - 175. Let b(x) = 11*x**3 - x**2 + 395. Let n(s) = -9*a(s) - 4*b(s). Give n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-4\/5)*g)*g*g**(-20\/9))\/(g**(-7))**(-12\/11) assuming g is positive.\nAnswer: g**(-3989\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4795 + -4284. Calculate the smallest common multiple of 219 and d.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 1603*d + 8099. Let g(z) = -z**2 - 1601*z - 8101. Let t(x) = 2*g(x) + 3*k(x). Find the first derivative of t(f) wrt f.\nAnswer: 2*f + 1607","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6957 - -7042 - (-2 + 34).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 21*f - 3\/5*f**2 - 102\/5 = 0?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93126*z**3 + 28457 with respect to z.\nAnswer: 279378*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7708 = 28*y - 160. What is the units digit of -8 + 9 + 0 + y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 79 = -469. Solve 0 = -9*w + 6*w - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 199*f**2 + 4*f - 10. What are the prime factors of u(3)?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**3 + 13*h**2 - h + 6. Give i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1545 - -1146515?\nAnswer: 1144640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -30. Suppose r = -5*k + 76 - 286. What is k rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 10*q - 120. Suppose 2*l - 40 = -2*p, -4*p - l + 84 = p. What is the lowest common multiple of q and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 12, s: 6}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 80. Let d(l) = 975*l + 5877. Let o be d(-6). Determine x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10195 is divided by 837.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q + 62*q - 3*q = -15*q - 7626 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/5 - (-12)\/20. Solve d*h - 45 = 5*r, -3*h + 2*r - r + 19 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 3*c + 33, 5*o + 2*c = -3*c - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:44 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**5 + 3*r**4 - 3*r**4)*(4 - 2 - 3) - 5*r**5 + 0*r**5 + 3*r**5 + 2*r**5 - r**2 + r**2 - 32 + 32 + 6*r**5.\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -5209.\nAnswer: 26045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -4\/5 (c) -110024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 7*l - g + 1 + 15 = 0, 0 = -l - 6*g + 16 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*u - 195*u**2 + 54*u + 551*u**2 + 52*u + 308*u**2.\nAnswer: 664*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237543570 and 4752?\nAnswer: 1900348560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26813229*o**5 + 68022*o**2 - 21*o - 60 wrt o?\nAnswer: 1608793740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 176, -8, 4 in descending order.\nAnswer: 176, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 90*d**2 + 173*d + 1036. Let y be p(92). Let z(m) = m**3 - 23*m**2 - 25*m + 9. Determine z(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 967736 by 87976.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394993.\nAnswer: 394993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -425, -470, -523, -584, -653, -730?\n\"Answer: -4*h**2 - 33*h - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.48418887 to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72481, 72510, 72549, 72604, 72681?\nAnswer: 72786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*l + 9 = l, 9 = -58*l + 121*l - 60*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.73956 rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 14 = -n + 94, 5*n + 10 + 19 = -2*o + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - i = -25, 5*x - 3*i - 30 = -4*i. Let p(w) = w + 6. Calculate p(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 14*z - 28*z - 252 - 97 + 45*z + 1.\nAnswer: 3*z - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -8.2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 9*g - 8. Let l(m) = -8*m**2 - 17*m + 16. Let i(n) = 4*l(n) + 7*z(n). Let b(r) = r**3 - 1. Let a(y) = -b(y) - i(y). Calculate a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -337.1 * -0.0433.\nAnswer: 14.59643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/3919020 and -25\/6076.\nAnswer: 3919020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -374 - -486. Calculate the remainder when n is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Let p(o) = 2*o. Let t be p(0). Let i be ((-9)\/2)\/3*180\/1485. Which is the nearest to 0? (a) i (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430775 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 533 divided by -5\nAnswer: -533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d = -5*d + 5300. Let v = 27 - 0. What is the remainder when d is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8\/299, -0.03663, 2\/17?\nAnswer: -0.03663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 849 and 9339?\nAnswer: 9339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 66. Let c = 727 + -739. Let d = c - w. Solve 3*y - 12 = 3*i, -y = -4*i - 0*y - d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 472864.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 87 = 36*j. Suppose -3*m + 3 = -7*m + 3*v, 0 = m + v - 8. Let i = -3 - -8. Solve -2*c - m*l - 1 = 0, i*c + 25 + j = l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0447 and 0.027293561.\nAnswer: -0.017406439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -271 + 268. Let s(k) be the second derivative of 1\/12*k**4 + 0*k**2 - 1\/2*k**3 - k + 1\/20*k**5 + 0. Calculate s(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 - 9 - (-1 + 0 - (47 + (-82 - -27))).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155466.347314 + -155466. Let f = -0.347 + g. Round f to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1928\/35 + -259\/5. Calculate the common denominator of 28\/9 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -795 + 149?\nAnswer: -64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + v + 12 = 0, -3*v + 6 = z + 4*z. Determine p, given that 0*p**2 + 1\/5*p**4 - 2\/5*p - 1\/5 + 2\/5*p**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -48*z. Let x(t) = 51*t**2 - 4*t - 6. Let g be x(3). Let c(y) = -3 + g*y - 438*y + 3. Determine r(c(v)).\nAnswer: -144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1 + 4*k - 2*k - 6*k + k. Suppose 5*s + 5*z = 55, -2*s + 3*z + 0*z = 3. Let x = -11 + s. Let n(d) = -2*d - 1. Calculate x*n(g) + 3*y(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 11*a**2 + 110*a - 115. What is s(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + 0 + -6*(sqrt(70)\/sqrt(10))**2.\nAnswer: -42 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6136345 or 6136343?\nAnswer: 6136343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 z, and 1 n when four letters picked without replacement from {c: 5, n: 5, q: 5, z: 2, p: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -1 + 3 + sqrt(363) + (1 + sqrt(363))*3)**2.\nAnswer: 550*sqrt(3) + 9100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -12192 - 56422. List the prime factors of p.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1423281 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15613 (base 11) to base 15\nAnswer: -67e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-5) + -1 + -8 + 5. Solve -z*j + 1 = 4*f + 7, -4*j = 2*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 842 and 137292?\nAnswer: 57799932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 25821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -90. Let r(n) = -2*n**2 + 9*n + 7. Let o be r(q). Solve 0 = 4*v - o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48\/30*50\/4 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3931 + -27?\nAnswer: -3958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -28086080 and -28086076 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 2, u: 1, c: 1}. Give prob of sequence sssw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 28*c**2 + 6. Let d be j(-28). Solve 0 = -5*r + d + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211\/(-1477)*(-2)\/(-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 - (-114)\/(-22). Let x(f) = -9*f**3 + 3*f**2 + 4*f + 2. Let g(h) = h**3 + h**2 + h. Let n(m) = j*g(m) + x(m). Let b be n(1). Are b and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152755 is divided by 402?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2052 and 16848?\nAnswer: 320112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((172\/(-24))\/(-43)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllrcrrlrrlllrljl. Give prob of picking 1 c and 2 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0 + 0 - 2*y. Let s(o) be the third derivative of 0*o - 2*o**2 + 0 - 1\/60*o**5 + 0*o**3 + 0*o**4. Give p(s(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22879 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*c + 1167 = -3834, -4*c = 20. Is i a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 29 = -2*q, 5*a + 2*q = 6*q - 127. Let j = 20 + a. List the prime factors of (-3 + (1 - j))*29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18622369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24*(-7)\/14 - -14. Let c(r) be the first derivative of -1\/25*r**5 - 1\/10*r**4 + 0*r + 0*r**l - 1\/15*r**3 - 13. Factor c(h).\nAnswer: -h**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 + 8 = 0. Let f(y) = 4*y - 7. Let s be f(q). Let j be 81\/36*36\/27. What is the greatest common factor of s and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 3*k**2 + 46. Let s(q) = -6*q**3 - 7*q**2 - 93. Let r(l) = -3*s(l) - 7*v(l). What is the derivative of r(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38413?\nAnswer: 107, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6169 + -6169. Let u(n) be the second derivative of 13\/30*n**6 + q + 5\/3*n**4 + 0*n**3 + 0*n**5 + 0*n**2 + 6*n. Find the third derivative of u(v) wrt v.\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 6. Let p be t(8). Suppose 0 = p*l + 3*l. Suppose l = 3*a - 5*a - 2*z + 16, 0 = -5*z + 25. Solve -13 = a*h - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/13418309 and -73\/3626570.\nAnswer: 134183090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138, 236, 330, 420, 506, 588, 666?\n\"Answer: -2*c**2 + 104*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003826 rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3125321, 3125325, 3125329?\nAnswer: 3125333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 - 168.00087. Round m to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1544 - 1.1544. What is the closest to 0 in 3\/7, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37588 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290003 or -289869?\nAnswer: -290003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(637))**2 - sqrt(637)) - (sqrt(637) + 0 + 0)**2 - (sqrt(117) + 3*(sqrt(117)*-2 - sqrt(117)))\/(2*sqrt(1089)).\nAnswer: -458*sqrt(13)\/11 + 14651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -2 (b) -26 (c) 0.1 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*m**4 - 44*m - 2*m**2 + 11*m**3 = 0. What is m?\nAnswer: -22, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g**2. Let m(c) be the third derivative of c**5\/5 + 120*c**2. Determine -4*m(y) + 3*q(y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -1c03d?\nAnswer: 1c03c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*p - 21, 2*p - 2 = 2*w + 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*m*n**3 + 5*m*n + 7*m - n**4 - 2 wrt n?\nAnswer: 864*m*n - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -756\/11, -0.109, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -4*m + 5, 4*m - 13 = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -617 and 0.2.\nAnswer: -616.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 10. Let h be t(11). Let c(a) = -a + 14. Let b be c(h). Solve 6*k = b*k - 4*i + 16, -3*k = -2*i - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4794, 4798, 4802?\n\"Answer: 4*m + 4790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230 - 66 - 14542*x - 96 - 67 to the form w + u*x and give u.\nAnswer: -14542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/17)*g**(-35)\/g assuming g is positive.\nAnswer: g**(-611\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.90194 millennia?\nAnswer: 190.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.43534 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/24*1*24\/(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 173.57. What is v rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 - 1139*i**2 + 7 - 4033*i + 3033*i - 3405*i wrt i.\nAnswer: -2278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 7, k: 2, f: 6, o: 1, x: 1}. What is prob of picking 1 s, 2 k, and 1 f?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 32311?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -63*j + 498. Let m be d(8). Let x(b) = -b**2 - 10*b - 6. Give x(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 1. Let z be (-14 + 12)*1\/1. Let q(p) = -p - 1. What is z*q(x) - f(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(363) + sqrt(363)*3).\nAnswer: sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141294753 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + v**2)*(1 + 4 - 3)*(5 - 15 - 12).\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6495 and 18765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, 383, 1422, 3033, 5210?\nAnswer: 7947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7 - 32. What is the second derivative of -15*v**3 - 10*v + 13 - f wrt v?\nAnswer: -90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*w = -5, 4*w + 20 + 0 = 0. Suppose -7*a + 2*a = -m. List the prime factors of 56 - a\/(25\/15).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m + 1 + 6 - 1 - 9. What are the prime factors of b(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11163 - -515728.86.\nAnswer: 526891.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1, -5\/4, 2\/7, -1\/3 in descending order.\nAnswer: 3\/5, 2\/7, -1\/3, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -45. Let g(d) = -3*d - 4. What is g(w)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 73 = -g, -35*f + 0*g + g + 115 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 261, 15, -3 in ascending order.\nAnswer: -3, -2, 15, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67203874 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*j + 3*g - 16, -g + 9 = 2*j. Let r = 339 + -316. Suppose r*h = 29*h - 60. Calculate the greatest common factor of h and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/13)*f**(-1\/31))\/(f\/(f**4\/f))**12)**(-11\/4) assuming f is positive.\nAnswer: f**(-110341\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189236799.8 + 0.3.\nAnswer: 189236800.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8.5. Let r = -3004.5 + 3005. Which is the third biggest value? (a) r (b) 4 (c) -2\/3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9113, 9111, 9109, 9107, 9105, 9103?\n\"Answer: -2*b + 9115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 21*i + 2769. Let z = -656 - i. List the prime factors of z.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 + 0.072. Let n = -7066.132 - -7066. Let o = b + n. What is the nearest to 1\/2 in -0.6, -4\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 5*y + 25 = 0, -30915*r + 30912*r - 2*y = -11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x**2. Let b(j) = -2765 + 2765 + 2*j**2. Give b(w(g)).\nAnswer: 2048*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.21954 + 0.21954. Which is the closest to t? (a) 24 (b) 2\/19 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12)*(-17)\/221)\/(25\/(-150))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0*b**2 + 0*b**6 + 0*b**7 + 3\/56*b**8 - 18*b + 0*b**3 + 0*b**5 + 0 + 1\/12*b**4. Find the third derivative of m(s) wrt s.\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 5. Suppose y*x = 7*x + 871. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 <= -11328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.3 (b) 0 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 823*o - 2482. Let r be m(3). Let s(j) = 14*j - 3. Let p(v) = 28*v - 5. Give r*p(x) + 7*s(x).\nAnswer: -14*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -897, -2099, -4101, -6903?\n\"Answer: -400*k**2 - 2*k - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.192 - -0.008. Let f = -0.0042 + -0.4958. Put f, b, 1, 3 in ascending order.\nAnswer: f, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 4.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 555 + -507. Suppose 56*a - 32 = g*a. Solve 3*l - i = -2*i + 2, -4*l + a = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzaazz. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 1, t: 1}. What is prob of picking 1 g and 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2391 = 35*z - 13079. Let h = z - 428. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 13, 0.02 in decreasing order.\nAnswer: 57, 13, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:00 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*c = 1645, 1081 = 3*t - 3*c - 1364. Let o(u) = 14*u**2 - 9*u + 11. Let g be o(1). Suppose -g*y = -14*y - t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -37. Let y be x\/(-5) + 4\/(-10). Let m = y - 3. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 105 = -4*b. List the prime factors of 3\/b + 422\/10.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 22. Let q(k) = -2*k. Let x(v) = 5*v - 10. Let o(y) = 6*q(y) + x(y). What is the tens digit of o(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(343)*-1.\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6 = 4*d + 64, -d - 53 = 4*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3)\/j*j*j*j\/j**8*j)**43\/((j**(-2\/5)\/(j\/(j\/((j**(-4)\/j)\/j))*j))\/(j**(-5)*j*j**(-2)\/j*j)) assuming j is positive.\nAnswer: j**(-1558\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r. Let j(z) = -3*z - 18. Let x be j(-6). What is the first derivative of b + x + 0*b + r - 3 wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3 + r**2 + 0*r - 4\/3*r**3 + 1\/2*r**4. Factor g(i).\nAnswer: 2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8223 + 15*d**4 - 6*d**4 - 8268 - d to the form l*d**3 + r*d**2 + k + t*d + o*d**4 and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56481513?\nAnswer: 3, 11, 1711561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*o - 10655 = 0, -7*v + 3*v + 2*o = -8542. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 19. Let u = 30 + m. Find the third derivative of -2*k**u + 441 - 441 - 4*k**3 wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 11 - 20)*((4*w - 5*w + 2*w)*(-7 - 3*w + 7) + (0*w + 0*w + 2*w)*(2*w - 6*w + 2*w) + 2*w**2 + 0 + 0).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0, -1\/3, -1\/2, 0.12 in descending order.\nAnswer: 0.12, 0, -1\/3, -1\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuiuiuuiui.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 4 - 3 + 12*g + 4*g**2 - 8*g. Let t(x) = 8*x - 2*x**3 + 8 + 3*x**2 + 4*x**2 + 1 + 3*x**3. Let n be t(-6). Determine d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from eeixjieekeeeeexjijke.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3328) - ((sqrt(3328) - 1*2*sqrt(3328)) + sqrt(3328)))\/(6*((sqrt(12) - sqrt(36)\/sqrt(3))\/sqrt(3) - sqrt(4))))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -m. Suppose f + q - 1 - 6 = 0, -3*q = -3*f + 3. Suppose 2*w + 5*j = 41, -w = f*w - 2*j - 30. What is the highest common factor of m and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*k + 1623 + 1289. Solve -3*z + 92 - k = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 369 + 16*m**3 - 22*m**3 + 754 - 385.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1520075 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -29*u - 77. Let d(v) = 28*v + 78. Determine 4*d(w) + 3*x(w).\nAnswer: 25*w + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*o**3 + 22 - 22)*(134*o - 124*o - 137*o + 1) to r*o**4 + q + a*o**3 + x*o + i*o**2 and give r.\nAnswer: -2540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007264 rounded to 5 decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 + -410. Solve -12 = -11*l + j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 4, a: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 35819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 + 72*l - 13. Calculate k(-13).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/5 and ((-67)\/8 - -4)*12\/(-120)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 195\/7, 1\/23, 0.1 in decreasing order.\nAnswer: 81, 195\/7, 0.1, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*t**3 - 122*t**3 + 243*t**3 + (-t + 1 - 1)*(-3*t + 3*t - 2*t**2).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f + 1. Calculate i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9827840 to the nearest ten thousand.\nAnswer: 9830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.538 + 9.530884. Round b to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*(u*u*u**(-3))\/u*u)*u*u)**(-1\/55) assuming u is positive.\nAnswer: u**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 884, 886, 888, 890, 892?\n\"Answer: 2*l + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 - 17*s**3\/6 + 19*s. What is the second derivative of z(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 11 (c) 269\/87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124124 (base 6) in base 13?\nAnswer: 204ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 257947290 minus -254563?\nAnswer: 258201853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-6237)\/(-18)))\/((-19)\/(-133)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/4807*-11*((-1)\/(-2))\/((-7)\/7).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67040 = -89*x - 330*x. What is the greatest common divisor of 56 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 50*i - 521. What is the remainder when 602 is divided by p(32)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 5)*(52*c - 22*c + 2 - 13*c)*(1 - 2*c - 1).\nAnswer: 204*c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17001 or -561074\/33?\nAnswer: -17001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4 + t**3 + 7. Find the third derivative of y(j) wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4) + (-1)\/2. Suppose 3*i + 35 + 34 = 0. Let k = 24 + i. Sort d, k, -1 in decreasing order.\nAnswer: d, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1455365472?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:29 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5077201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -793 - -550. Let d = v - -243.3. What is the fourth biggest value in -4, d, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (4 - -3) - (-5 - -13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.233001316 to five dps.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (-3)\/(1305720\/(-3634174)). Let g = 2\/10881 - h. What is the common denominator of 61\/14 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*d = -7*d + 17, 4*j - 2 = 2*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535546 (base 8) in base 9?\nAnswer: 2270874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 1 y when three letters picked without replacement from nyyyqjyqyyzyjjqq.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnwswsuwwuwswn. What is prob of picking 1 s, 1 w, and 2 n?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 2*k - 3. Let a be (-19)\/(19\/2)*5\/(-2). Suppose -2*r = -n - 5, 2*r = -a*n - 3*r - 10. Calculate i(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Differentiate -10*n**3 + 7 - 2 - b + 2*n**3 with respect to n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 15*g + 15*g)*(3*g - 3*g + g**2) - 492738 - 858*g**4 + 2*g**2 + 492738.\nAnswer: -860*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117606\/119 - 6\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 92, -4\/5?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054 (base 8) in base 3?\nAnswer: -10120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 76320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091.8198 less than 90?\nAnswer: -2001.8198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 5876.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*j + 64*j = 362*j - 86*j - 62228 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) -34 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26169289 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.14 times -0.05?\nAnswer: 0.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6967, -6970, -6975, -6982, -6991, -7002?\nAnswer: -7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 345*x**2 + 3*x + 163. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**6 + 5*i**5 - 5*i**4 + i**2. Let o(g) = 2*g**6 + 4*g**5 - 4*g**4 + 2*g**2. Let r(f) = 5*o(f) - 4*p(f). Find the third derivative of r(d) wrt d.\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 66. Let h be (1 - d)\/((-3 - -3) + 2). Solve t = h*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*f = -72, -12*f - 19019 + 18989 = -2*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 1. Let b(p) = 54*p**3 + 66*p**2 - 9. Let s(r) = -2*b(r) - 18*y(r). What is the third derivative of s(u) wrt u?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 102286, 102282, 102268, 102238, 102186?\n\"Answer: -l**3 + l**2 + 102286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 33 - 19*d + 7*d + 19*d.\nAnswer: -4*d**2 + 7*d - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 3*g**2 - 4 - 1 + 3. Let m be x(2). Suppose -2 - m = -2*w. Which is bigger: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 9*w**2 + 8*w + 3. Let o be -6 + -2 + 0\/2. Let d be k(o). Solve y + d = -1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 410 + -313?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + d + 31 = 0, -5*d - 429 = 5*a - 474. Solve -a*x = 369 - 339 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 30898*a - 61804.\nAnswer: 2*(a - 15451)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13733*l + 164781. Calculate x(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1657 + 1127. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -2) + -207 + 229.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*c*q**2 + c + 61*q**2 wrt c.\nAnswer: -33*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1806363913 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88381 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owoooooooooo. What is prob of picking 1 w and 3 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 5*p**2 + 3*p + 3. Let t be u(4). Let v = -19 - t. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 5, -1120, 2 in decreasing order.\nAnswer: 10, 5, 2, -4, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 8*n**2 - 7*n + 2. Let l be c(7). Solve -5*a = 5, 3*f - l = 5*a + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/10*8*(-730)\/(-584)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4*24\/(-23). Sort t, 4\/5, 3 in decreasing order.\nAnswer: 3, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbbblblblblbb. What is prob of sequence blbb?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -3*a**8\/28 - 34*a**7\/7 - 1663*a**6\/30 + 2191*a**5\/15 + 836*a**4\/3 - 3872*a**3\/3 - a**2 - 371*a. Find d, given that t(d) = 0.\nAnswer: -44\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + 1. Let i = 2.63955 - -0.36045. Sort i, k, 4\/7, -3 in descending order.\nAnswer: k, i, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110100110001111101 (base 2) to base 9\nAnswer: -1347662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.512 + -98557?\nAnswer: -98559.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**3\/51 + 294*c**2\/17 - 1266. Factor n(m).\nAnswer: 2*m*(m + 294)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 5)*(2\/(-1))\/4. Let v be 3 - (0 - 1 - 1). Sort -4, k, v in ascending order.\nAnswer: -4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -15) + 1 + -4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -6.5. Let l = t - 5.99996. What is l rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:17 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35970 + -35850 - (122 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -15*l**5 + 126*l**4 + 447*l**3 - 138*l**2 - 684*l + 264 = 0.\nAnswer: -2, 2\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31653256 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/11*4*2\/12. Suppose -5*y - 4*q = -2, -4*y - t = -4*q + 14. Let u be 1\/(6\/4) - 0. What is the third smallest value in u, -3, -7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*h = 0, -z + h + 10 = -3*h. Suppose z*n = -3*n - 20. Which is greater: n or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. What is the lowest common multiple of (3\/(-2))\/((-4)\/8) and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*f - 329 = 0, 4*d - 5*f = -2*f + 254. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 552.1 + -552.6. Which is the third biggest value? (a) g (b) -1\/5 (c) -372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 3 - 26*d**2.\nAnswer: -26*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5474 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 1:38 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 663440020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/(-12) + 1\/3 + -48 + -3547. Is -7199\/2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 225.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 150*o**2 + 130 - 160*o**2 + 467*o**2 - 155*o**2.\nAnswer: 2*o**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = 4*x, -x - 13 = j - 11. Are -2\/301 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.8 - 22.8. Let r = -15 - p. Let v = 0.1 + 0.1. Which is the nearest to 0? (a) v (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30231 (base 7) to base 5.\nAnswer: 213243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22131300 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130249 and 11?\nAnswer: 1432739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-1179)\/(-18))\/(2\/4). Suppose 3*x - q = -31. What is the greatest common factor of 48 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3522 - 4397 + n - 7555 + 1865 - 10152)*(-4 + 4 - n) to g + k*n**2 + o*n and give o.\nAnswer: 16717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 55 + 5*z - 3*z - 3*z + 50 - 95. Let p(a) = -a**2 + a - 1. Give 2*p(q) + u(q).\nAnswer: -2*q**2 + q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*d + 3*y, -4*d - 5 = -4*y - 29. Solve d*u - 5*u = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 + -0.15. What is the closest to y in -5, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1444 = 4*n + 232. Let q be n\/5 - 4\/(-10). Let u = q - 29. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -9\/2*w**4 - 4 + 0*w**2 - 2\/3*w**3 + w. What are the prime factors of x(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16\/3131, 12 in ascending order.\nAnswer: 0, 16\/3131, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.54 - -833.46. Let i = -853.001194 + j. Round i to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528599 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 11. Solve 0 = 4*l - 20, -h = -2*h - l + t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide -16*(-582)\/4 + 3 + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 + 16 + -9 - (-9 + 9 + 15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 7. Let a = m + 49. Sort a, -3, 1, -6 in descending order.\nAnswer: a, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 45675?\nAnswer: -45676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 642, 649, 658, 669, 682, 697?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/552 or 0?\nAnswer: -11\/552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1745716\/43 or -40598?\nAnswer: -40598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68451240 and 936.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.022. Let h = 0.0219975 - q. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(24)\/sqrt(75))**2*-2.\nAnswer: 96\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.78 - -76. Let s = 1.17 + m. Let r = s - 0.79. Which is the smallest value? (a) r (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 + 148131515.6.\nAnswer: 148131516.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -189*n**4 + 88086*n**3 + 171324*n**2 - 16824*n - 11232 = 0?\nAnswer: -2, -2\/9, 2\/7, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.236 + -0.223. What is the biggest value in -5, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -13981\nAnswer: 55924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591827*u + 591827*u - 146*u**3 + 36*u**3.\nAnswer: -110*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*15865.\nAnswer: 11105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052602 rounded to five decimal places?\nAnswer: 0.00526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -8, -2\/25, -1796, 8, -5 in descending order.\nAnswer: 8, 2.4, -2\/25, -5, -8, -1796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -430 + 448 + (18 - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 530*a + 15988 + 22172 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 4. Let a be k(-4). Let g(n) = -n**3 + 10. Let t be g(a). Is 10 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-6 + (-3 - -6) + 25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628453 less than 2628451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**4 - 168*x**2 - 19732*x + 14753846.\nAnswer: 16*x**3 - 336*x - 19732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 32 = 18*k. Let v be (-2)\/(k\/(-60))*(-4)\/(-3). Let b be 54\/v*(-3 - -8). Which is smaller: b or 28?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-72)*((-10)\/(-20) - (1 + -1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + s = 6, s = -t + 1 - 7. Let i(u) = -424*u**3 + 6*u**2 + 5*u - 16. Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1210469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6436 - -6422. What is the nearest to 0 in 3, -7, i, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*a + 332*a = 132*a + 11450 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -686293, -686305, -686331, -686371, -686425, -686493?\n\"Answer: -7*q**2 + 9*q - 686295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:51 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6776 and 6407555.\nAnswer: 51260440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 2 - 14*x**2.\nAnswer: -14*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 2*c**2. Let f be z(-2). Let i(x) = x**3 + 8*x**2 + 9. Let m be i(f). What is the highest common factor of 72 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 3*g**2 + 16*g + 1. Calculate k(-5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*m = 10, 0 = i - 2*m - m + 5. Let x(n) = 6*n**3 - 4*n**2 - 9*n + 5. Is x(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-969)\/(-133) - 21\/3. Which is the closest to 1\/11? (a) o (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.07 + 41. Let x = z + 0.07. Is -16 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 365*o**2 - 155874*o - 6977880.\nAnswer: (o - 630)*(o + 52)*(o + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0599 times 0.3?\nAnswer: -0.01797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 488*j + 65280.\nAnswer: -2*(j - 96)*(j + 340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, 16\/3, 194?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = h + h. Let w = -6011 - -6015. Solve -5*m + w*t = -t, 3*t - h = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 6*s**2 - 3. Let a be q(-6). Let m be 2 - (101\/a + -1). Let k = m - 37. What is the nearest to 0.1 in 0.1, k, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1261910 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -67, -83, -101, -121?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 61*s**2 - 186*s - 11365. Determine g(-61).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*y + 317, 3*o - 4*o = y - 65. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16126742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.7 + 24. Let z(h) = h**2 + 5*h. Let s be z(0). What is the nearest to -1 in k, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5069\/2 - 2534. Suppose -5*i = -0*i - 5. Let b = 0.04 - 0.44. What is the closest to i in b, 1\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*o - 2*r, 4 = -r - 0. Suppose 0 = -s - o*b - 65, 6*s - s - 5*b = -305. Let t = -14 - s. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(288)*6)\/(-6*sqrt(4)*-2 - 2*sqrt(100)).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 4*s. Let q(f) = f**3 - 2*f**2 - 5*f + 3. Let y be q(3). Let n be r(y). Suppose 5*k - n = -4. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34714*f**3*p**2 + 10*f**3*p - 4*f**3 + f**2*p**2 - 19*f**2*p - 298*f wrt p?\nAnswer: -69428*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/27 in -2, 5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l*l)\/(l**(4\/5)*l))**(10\/11) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21213.746 * -51.\nAnswer: 1081901.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/754 and 27\/52?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 666 = -7*z + 224 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 8. Let l be m(8). What is the derivative of b - b + l + 5*b - b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/68*4\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.5, 1, 3, -3\/7.\nAnswer: -11.5, -3\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8633450 and 1726690?\nAnswer: 8633450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 49. Let f = n + 40. Which is the third smallest value? (a) 5 (b) f (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(-54*t - 10*t + 12*t) - 796 + 796 - 5*t in the form a*t + q and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 945 = -b + 937, -110*f = 5*b + 880 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/4))**(-16\/3) assuming j is positive.\nAnswer: j**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - -32?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.379 + -2.621. What is the third smallest value in -3, -2\/9, x, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -28. Suppose 0 = 2*i + q - 37 - t, 6 = -2*q. Suppose -5*v + f + 65 = -v, v = -4*f + i. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111 (base 4) in base 15?\nAnswer: -9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 2*g**2 - 4*g - 7. Suppose -2*k - 20 = -4*v, -2*v + 3*k = -18 - 0. Determine j(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m - 16. What is the tens digit of b(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 6 - 6)*(1 - 3 + 0) - p**3 + 4*p**3 - p**3 + (-20*p + 10*p - 9*p)*(-5*p + 5*p + p**2).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 55. Suppose -5*z = 5*g - 120, 4*z - 44 = -3*g + 28. Calculate the highest common factor of u and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134398*m - 107821 wrt m?\nAnswer: -134398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-1)\/(-10)). Suppose -c - s + 13 = 3*c, -5*s = -5*c - o. Suppose 0 = -3*j - c*j - 10. Put j, -4, -3 in ascending order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38\/15 + -27\/10. Which is the third biggest value? (a) 5 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/301 in -3, 100\/3, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (1 - (1 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 9*c**2 - c - 8. Let o be j(-9). What is the nearest to 1 in o, 0.2, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 26*l**2 + 24*l + 32. Let o be f(19). What is the common denominator of 3 - ((-1)\/(-3) + o\/480) and -43\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 14*l**2 + 27*l + 44. What is the hundreds digit of p(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1823724 and 47\/1042128.\nAnswer: 7294896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-7))\/((-6)\/42). Let b(c) = 84*c. Let x be b(r). Suppose 5*h - x = 2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.9 or -3886609?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/33, -4 in increasing order.\nAnswer: -4, -2\/33, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168188 (base 10) in base 13?\nAnswer: 5b727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**28)\/i)\/(i*i**(23\/5)*i*i))\/(i**(-1\/28)\/i)**(-43) assuming i is positive.\nAnswer: i**(-3379\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-4) - 1\/4. Suppose 0 = 212*h - 208*h - 128. Suppose -5*y + 10*y = -k + 31, 0 = 5*y + 2*k - h. Solve 4*c - 6 = 3*f + q, -3*c + 4*f + y = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a factor of 881503337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - k**3 + 73*k - 73*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24)*((-10395)\/(-175) - 59)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o - 3. Let q be p(5). Suppose 158 = 3*l - 4*t - 245, -l = -3*t - 136. What is the greatest common factor of l and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7)*b\/b**11)**7*b\/b**0*b**(1\/4)\/b*b*b**(1\/3)\/b*b*b**5 assuming b is positive.\nAnswer: b**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and 0.3.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46995 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 92*i + 4. Let z be w(1). Suppose 4*a + 3*q - 11 = 40, -2*q - 58 = -5*a. Calculate the highest common factor of a and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 18 = -2*b. Let a = -742 - -764. Calculate the lowest common multiple of b and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4525 - 4524.6. What is the closest to 3 in -1\/7, -0.5, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 0. Let b(h) = h**3 + 3*h**2 + 3. Let s be b(-3). Suppose -12 = s*d, 6*d - 3*d - 48 = -5*w. Calculate the smallest common multiple of w and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2297 + -2297.1. What is the second smallest value in -2\/7, a, -52, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/12)\/((-120)\/(-585)*13*(-3)\/(-156))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 23\/8 of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1094979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64821509 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d. Let x(c) be the third derivative of c**4\/12 - 333*c**2. Calculate x(r(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126688849 plus 7?\nAnswer: 126688856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*i**4\/7 - 166*i**3\/7 + 534*i**2\/7 - 400*i\/7 - 136\/7 = 0. Calculate i.\nAnswer: -1\/4, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -30 + 32. Solve s*x = 7*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31737*n**2 - 17548*n**2 + n**3 + 49285*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746841 divided by 4.\nAnswer: 746841\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 44. Let z be x(9). Solve -5*y - 4*g = z + 14, -4*y - 11 = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 7, k: 4}. What is prob of picking 3 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -3*f. Suppose 0 = f*n - 3*n + 5. Suppose g + n*b + 9390 = 0, 2*b = -b + 6. What is g rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*q - 1, 0 = -q + 4*p - 1 - 3. Suppose q = 4*b + 20 - 72. Let x = 19 - 6. Calculate the highest common factor of b and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -43. Let t = 175 + -1227\/7. Which is the second biggest value? (a) 5 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1142808.48 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Suppose -2 = -n*t + 4. Which is the nearest to 1? (a) t (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w + 80 - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064895253 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Suppose 0*j + 85 = w*j. Suppose 4*b = -5*k + 66, 0 = -b + 2*b + k - j. What is the greatest common divisor of b and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:59 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and -38693?\nAnswer: 81255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 59*b - 96 = 25*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*j**2 + 46*j**2 + 57*j**2)*(-11 + 2 - 7) + j**2 - 3*j**2 + j**2.\nAnswer: -2305*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9806 times 94?\nAnswer: -2066.1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5 - 3*l**4 - 15*l**3 + 15*l**2 + 12*l - 12 = 0. Calculate l.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3891*s - 5789.\nAnswer: 3891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r - 3. Let g be p(-3). Suppose z = -g*z. What is the third derivative of z*b**3 + 2*b**2 - 2*b**3 + 3*b**5 + 2*b**3 wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.2 + -10. What is the closest to -1 in 2\/15, 5, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10449126 or 83593015\/8?\nAnswer: 10449126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.052, -2.3, -0.7?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 2 - 4\/3*x**3 + 7\/2*x**2 - 7*x. Let o(w) = -2*w**2 - 4*w + 4 + 9*w**2 + 8*w**2 - 6*w**2 - 7*w**2. Calculate -4*g(m) - 7*o(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -4*b + 3*b - 3*d, -4*d = -b - 36. Let y = b + 106. Calculate the remainder when y is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*(w*w*w**(-7\/3))\/w))\/w)*w)\/(w*(w*w**37\/w)\/w) assuming w is positive.\nAnswer: w**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/164798 and -107\/238?\nAnswer: 1153586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -51, -17, 35, 111, 217, 359?\n\"Answer: y**3 + 15*y - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073733231.\nAnswer: 3, 357911077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 18*m - 14. Calculate the remainder when b(7) is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 32 - 5*a**2 + 30.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*c = c + 11, u = 2*c + 4. Let g be (-2)\/(-6) + (-210)\/(-45). Let f = g - u. Solve -f*n + 3*i - 8 = -2*n, -5*n + 2*i = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n - 4. Let i(o) = 5*o**2 - 269*o - 19. What is i(a) - 3*l(a)?\nAnswer: 2*a**2 - 278*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -839*j**4 + 6*j**3 + 21533*j**2 wrt j.\nAnswer: -20136*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4 + 4)\/(30\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156308968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 4 + (-6 - -1) + 6. Sort 838, h, -5, -1 in decreasing order.\nAnswer: 838, h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14839234.\nAnswer: 2, 991, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 12*t + 2. Let r be l(12). Let j(f) = -3 + f**2 + 0*f - 3*f + 0*f**2 + 0*f**r. What is the units digit of j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/(30\/(-40)). Let z = 13 - y. Find the first derivative of -4*v**4 - 2 + 15 + z wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 11:48 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c = 2*k + 71, -c = -k - 25. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13739 (base 11) to base 7\nAnswer: 110630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8882, 8873, 8860, 8843, 8822?\n\"Answer: -2*q**2 - 3*q + 8887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19190*l + 1. Let b(d) = -3*d. What is b(m(u))?\nAnswer: 57570*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -847*u**3 + 200 + u - u + 208 - 401 to p + q*u**2 + n*u + d*u**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 294. Calculate the smallest common multiple of t(-33) and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 2*s - 4, 3*f = -4*s - 3. Suppose -28 + 37 = -s*a. Let p(l) = l + 3. Determine p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -6, 495.\nAnswer: -6, 24, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b66 (base 14) to base 4.\nAnswer: -11033032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 14\/24)\/(19*7035\/10184)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-40)\/(-700))\/((34\/(-84))\/(-17)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.6. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.5 + 1.5. Let h = -3 + d. Let j = h + -4.4. Which is the smallest value? (a) -3 (b) 2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 12*k**2 - 15. Let l = 22 - 34. Let o be q(l). Let a = o - -27. Calculate the greatest common divisor of a and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -55. Let x = 23.3 - v. Let t = 0.24 - 0.24. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, -3, -1 in descending order.\nAnswer: 2, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -217790 rounded to the nearest 1000?\nAnswer: -218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 125 = -4*o, -59 - 8 = -2*k + 5*o. Suppose 2*h + h - k = 0. Suppose 0 = -h*z + 3*z + 48. Calculate the smallest common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-l + 2 - 2) + 18 + 2*l - 18 + 13*l + 40*l - 4*l.\nAnswer: 53*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:00 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 1. Let p(y) = 4*y**5 - 4*y**5 + y**2 + 13*y**5 + 5. Let h(k) = p(k) + 5*q(k). Find the third derivative of h(d) wrt d.\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3861 - -4863. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 203 + 1ab?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128 divided by -68?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-45)*(-15)\/18.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3328515, 3328510, 3328505, 3328500, 3328495?\n\"Answer: -5*i + 3328520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1375093.\nAnswer: -687546.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414 - 1222?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3 - 2182*j**2 + 120856*j + 250432 = 0.\nAnswer: -2236, -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -416 * 0.4.\nAnswer: -166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 + 17*z + 1160. Let v(h) = 15*h**2 + 34*h + 2321. Let c(b) = 5*o(b) - 2*v(b). What is the first derivative of c(l) wrt l?\nAnswer: 10*l + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + 23 + -8 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 56 + 2*k + k**2 - 59 + k. Let c(r) = -6*r**2 - 17*r + 17. Let x(o) = -6*c(o) - 34*v(o). Let y(g) = 0 + 0 - 80*g + 97*g. Calculate x(y(q)).\nAnswer: 578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**7\/360 + 11*y**5\/120 + y**4\/2 - 5*y**2. Let f(l) be the second derivative of j(l). What is the derivative of f(a) wrt a?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19907027, -19907026, -19907025, -19907024?\n\"Answer: d - 19907028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-624)\/(-36)*6\/(-868). Let g = o + -7561\/3906. Calculate the common denominator of 99\/8 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + -15. Let t = 37 + s. Let g(d) = -d**3 + 5*d**2 + 7*d + 6. What is the lowest common multiple of t and g(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2*9\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3436*b**2*d - b + 433*d wrt b.\nAnswer: -6872*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**0*j*(j*j\/(j**(-2)*j))\/j*j**(-2\/7)\/(j*j*j**(-6)) assuming j is positive.\nAnswer: j**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g + 3. Let t(x) = -7*x - 2. Let u(v) = 4*v + 1. Let h(p) = -3*t(p) - 5*u(p). Let l be h(g). Solve l - 3 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = 4, 0 = y - 4*l + 16. Let u be (25\/(-15))\/((-5)\/6). Let n be (-7)\/(-2)*(3 - 1). Solve -n*b + u*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61612 is divided by 350.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030665 to 4 decimal places.\nAnswer: -0.0307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000699161933 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 2*g**2 + g**2 - 2064 - 1808.\nAnswer: -2*g**2 - 3872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10*3*(-10)\/(-9). Let q(t) be the first derivative of 4*t - 2*t**a - 2\/3*t**3 + 9 + 1\/4*t**4. What is q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 2, w: 1, t: 4, s: 7, n: 1}. What is prob of sequence knsk?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = x + 2, m + 4*x = -m - 8. Let g(v) = -v + 4. Let b be g(m). Differentiate 10*k**b - 2 - 10 + 1 with respect to k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 2:21 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38270 = 30*y - 67660. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 22 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92951?\nAnswer: 92951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5641\/24 - 19\/456 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307448 (base 13) to base 9.\nAnswer: -2112048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17064 and -32176.\nAnswer: 549051264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815 + 5*n**2 - 3*n**2 - 830 + 1645.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/x**(-1\/4))*x*x**(-9)*(((x\/(((x\/x**2)\/x)\/x))\/x)\/x)**(-13) assuming x is positive.\nAnswer: x**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -106, -97, -84, -67, -46, -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Let a = 0 - k. Suppose -4*q + 3*p = -3, 0*q - 4*p = -4*q + 4. Solve q = -a*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -802 - -1127. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 68*z**2 + 66*z - 149. Give p(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 5*o + 4 - o + 0*o - o + (-3 + 3 + 3*o)*(4 - 4 - 1) + (3 - o - 3)*(-2 + 6 + 59).\nAnswer: -73*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 593247040 to the power of 1\/2, to the nearest integer?\nAnswer: 24357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 36*d**2 + 16*d + 48.\nAnswer: 4*(d - 2)**2*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 8*g**2 - 8*g - 5. Let f be c(-7). Suppose 0*z + 8 = f*z. What is the second derivative of 0*m**4 - m - m**z + 2*m + m wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129604835.\nAnswer: 3, 5, 75306989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105847597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -94, -2, 13 in descending order.\nAnswer: 13, -2, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/190*-5*3\/(27\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 869*s**4 + 267*s**2 + 4106690?\nAnswer: 3476*s**3 + 534*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1, 3, -16 in descending order.\nAnswer: 3, -1, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/40460 and 19\/6800.\nAnswer: 809200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 55069.2 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - p + 2*p)*(0*p + 0*p - p) + 4*p**2 + 9*p - 4*p - 11*p to k + h*p**2 + m*p and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 - p**2\/2 + 18*p - 3. Does 9 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 18. Let w be a(-3). Solve -6*p - 18 = -w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1727 - -1756. Calculate the remainder when 162 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13281 - -13289. Solve -22*q + 20*q + 7 = -5*z, 4*z + l = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.043.\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbkbtxnbhbtbtxt. Give prob of sequence xbn.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1047482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 541, 43, -1 in ascending order.\nAnswer: -1, 29, 43, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465181250 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.54 - 5.54. Which is the nearest to -0.1? (a) 5\/3 (b) y (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umfmnuluu. Give prob of sequence lfn.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/7, 1\/8 in increasing order.\nAnswer: 1\/8, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 4. Let x(n) = n - 4. Let v = -226 + 230. Give v*x(t) - 5*f(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.575492 milliseconds to microseconds.\nAnswer: 8575.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8041898*i**2 + 7516079*i.\nAnswer: -16083796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 60, -2, 16\/5, 1, 4\/5.\nAnswer: -2, -0.03, 4\/5, 1, 16\/5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727864386.\nAnswer: 2, 3, 121310731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 26*s - 21. Determine u(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 3*i + 3*i)*(1 - 1 - 6*i**3).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 9*f + 5*f + 5*n, f + 2 = -5*n. Solve -f*q + 59 = -238 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.5, 3\/8, -0.3873?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -10*g**2\/13 - 1766*g\/13 - 2800\/13 = 0.\nAnswer: -175, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a second in milliseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.505628ml to litres.\nAnswer: 0.009505628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134180491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -56, -69, -98, -149?\n\"Answer: -r**3 + r**2 + r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9355 - -13494. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 132 = 7*l. Let b be -201*((-16)\/l)\/4. Calculate the greatest common divisor of b and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3606?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 + 52*o - 5 + 4 + 7*o**2 + 7 - 44*o. Let n(v) = -11*v**3 + 15*v**2 + 17*v + 13. Let x = 1 - 7. Determine x*n(l) + 13*b(l).\nAnswer: l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432788583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 22797.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4*m + 3. Let g = -1 - 2. Let u(a) = -a**2 - a - 1. Let b(x) = x**2 - 13*x + 6. Let n(j) = -b(j) + 2*u(j). What is g*n(v) - 8*i(v)?\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 11 = 0. Calculate the remainder when 43 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6934485 and 31761?\nAnswer: 20803455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - o**3 - 4*o)*(-6619 + 6619 - 1622*o) as i + s*o**4 + u*o**3 + q*o + c*o**2 and give s.\nAnswer: 1622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (8 - 7) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**2*y**3 - f**2*y**2 + 2*f**2*y + 91916*f*y**2 - f + 57713*y**3 - 2 wrt y.\nAnswer: -24*f**2 + 346278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*b**5 - 25*b**5 + 15*b**5 + (5*b + 97 - 97)*(0*b - 6*b**4 + 0*b) + b**5 - 2*b**5 - b**5.\nAnswer: -95*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-174744)\/(-436910) - (-44)\/(-110). Let c = 11971504\/3713735 + f. Let d = c - -37\/17. Calculate the common denominator of 143\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h - 5. Let f be c(-1). Solve -5*y - f*b + 25 = 0, 0*y - 10 = -2*y - 5*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 28 = -m, 4*m + 2*o = 1 - 23. Let r be (-1 - (-13)\/2) + m. What is the third smallest value in r, -1\/5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i**3\/15 - i**2\/5 - 4*i\/5 - 16. Solve g(d) = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 2, u: 1, e: 1, j: 1, b: 1}. Give prob of sequence bijd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 332315023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 8 - 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k, 4*r + 4*k = 7*r - 48. Suppose 6*z - z + 4*h = 700, 5*h + 457 = 3*z. What is the greatest common divisor of r and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-10)\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + l - 14, 3 + 3 = -3*l. Which is the second smallest value? (a) v (b) -1 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((-6 - -2) + (12 - 15) - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73748736089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i + 1233. Let s = -146 - i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20370, 41594, 62804, 84000, 105182?\n\"Answer: -7*n**2 + 21245*n - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 2185, 3281, 4369, 5443?\nAnswer: 6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsm. What is prob of picking 1 m and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56274*s**3 + 14065*s**3 + 14082*s**3 + 14066*s**3 + 14045*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461556 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 309*r**2 - 18412*r - 18720.\nAnswer: (r - 52)*(r + 1)*(r + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 23728*o - 47448. Calculate h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -36. Let g = 24.5 - z. Round g to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3288.5 to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8724042 is divided by 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + z**2 + 11 + 17 + 5.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0 + -206 + 211.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.23 + -1.2. Let r = v - -0.97. Let g = -10.6 - -11. What is the nearest to r in g, -2\/9, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 1324*v**2 + 272339*v + 273664.\nAnswer: (v - 1069)*(v - 256)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2280\/70)\/38*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 6) to base 7\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-646)\/(-969)*(-1)\/(-8)*(-12)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a8 - -1?\nAnswer: -4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 19561 = -q, 8*q - 97826 = 3*q + 3*h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let i be z(2). Let l be (-3336)\/(-54) + i\/(-9). Let y = -27 + l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13469 - 13247. Solve u = -271*i + 234*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:53 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)*r)\/r**1)\/(((r\/((r*r**(2\/25))\/r))\/r)\/(r*r**(2\/5))) assuming r is positive.\nAnswer: r**(61\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/8 + 18*t**3 - 611*t**2 - 2664*t - 2738 = 0.\nAnswer: -2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(-1938 - 42*r - 33*r + 1937) in the form c + p*r and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 69*f + 76. What are the prime factors of w(23)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(275) + sqrt(275) + sqrt(275)*1 + -1 + sqrt(275))**2 + ((-5*sqrt(110)\/sqrt(2))\/(sqrt(60)\/sqrt(192) - sqrt(5)))**2 + 1.\nAnswer: -240*sqrt(11) + 44333\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 82 + 34. Let g be (-4)\/n + (-107)\/(-3). Let s = 11 + -6. What is the highest common divisor of s and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 4*a**5 + 0*a**5 + (-4*a**4 - 13*a**4 + 4*a**4)*(0*a - a + 2*a) - a**5 - 2*a**5 + 2*a**5 - 25*a**5 + 45*a**5 - 30*a**5.\nAnswer: -25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 8:53 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -773 - -778. Let c be w\/(50\/(-4)) + (-816)\/(-240). Solve 0 = 9*g + 24 + c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5 - 6*q**4 + 14*q**3 + 54*q**2 + 36*q = 0.\nAnswer: -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 96) + 133 + 2 + (75 - 0)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112087*l + 12711*l**2 + 4335*l**2 + 112087*l.\nAnswer: 17046*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 1. Let g = 6 + 6. Suppose -k = -5*k + g. Calculate c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 110 = 5*z + 5*s, -s = 0. What is the remainder when 2 + z + (-2)\/1 is divided by (3 + -1)*(-4 + (-6 - -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 163733.7 centuries?\nAnswer: 16373370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30306707 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-35)\/25)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let d(f) = 9*f - 33. Let v be d(4). Suppose -10 = -2*p - v*p. Let j(m) = 0*m**2 + 9*m**2 - 6*m**p. Calculate y(j(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 381375 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -12 - (92 - (-101 - -267)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*x - 93*x - 146*x)*(1 - 2*x - 4*x**2 + 4*x + 0*x).\nAnswer: 532*x**3 - 266*x**2 - 133*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(3584) - (sqrt(3584) + sqrt(3584) + 4*sqrt(3584))) + sqrt(3584))\/sqrt(8))**2 - (sqrt(224)\/(sqrt(4) + sqrt(100)))\/(1*sqrt(512)).\nAnswer: 15359*sqrt(7)\/48 + 7193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10279*i + 31144 = -59781 - 19449 + 7584 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 0.5?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 721785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 534118 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 1, n: 1, h: 7, u: 2, a: 1}. What is prob of picking 1 k and 1 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.7380243 * -63\nAnswer: -109.4955309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90352 is divided by 2491?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72446 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 15*u**3 + 17*u**3 + u**3 + 0 + 0 + u - u + 2*u**3 + (-1 - 2*u**2 + 1)*(u + 0*u - 3*u) + u**2 - u**3 - u**2 + 2*u**3 - u**3 - 3*u**3.\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 583*h*i**3 + 2*h*i**2 - 183*h + 175*i**3 + 2190 wrt i.\nAnswer: 1749*h*i**2 + 4*h*i + 525*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1397041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25936955.\nAnswer: 5, 11, 43, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.97839 millilitres to litres.\nAnswer: 0.01297839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*t + 3*l - 490, -5*l = 2*t - 498. Let i = t + -89. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 + 22)*24524\/(-10). Let b = 147037\/12 + f. Calculate the common denominator of b and 107\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**2 - 63*u - 2. Let f be q(6). Suppose 0*d - 2*d + 8 = 0. Suppose z - f = -5*k, -5*z + 7*k + 924 = d*k. List the prime factors of z.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149\/56 - -16\/7. Which is the smallest value? (a) 2\/11 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/84506 and 32\/319.\nAnswer: 929566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 32\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*v + 13910 = -192*v + 922*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012558.\nAnswer: 2, 59, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1335780 divided by -133578\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 8*j + 2. Let b(m) = -m**3 + 5*m**2 + 6*m + 8. Let o be b(6). Let w be t(o). Suppose 0 = w*z - 6. Solve -z*h = 2*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2838 = y + 4*j, -3*y + 2*j + 3179 + 5293 = 0. What is the tens digit of (-240)\/(-96)*y\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570762 is divided by 17294?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 5*y + 3*y)*(-138*y + 110*y - 209*y - 85*y).\nAnswer: 644*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - (-252)\/(-30)) + 27\/5. Suppose -182 = -h*b + 433. Suppose -2*l + b + 995 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 10. Suppose -d = -25 + q. Solve -8*u + 3*u = -2*b + d, -2*u - 5*b - 35 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 992 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22\/3 + 98\/15. Which is the fourth biggest value? (a) -4 (b) -8\/9 (c) m (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 33. Let b be ((2930 + 0)\/1)\/(3 + j). What is b rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279811884 by -72754.\nAnswer: -3846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/20 - s**4\/6 + s**3\/2 - 3*s**2\/2 - 2*s. Calculate the remainder when b(-5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*v*y + 1375967*l*v + 9*l*y + 2*l + 1298*v*y + 3*y - 3357 wrt l.\nAnswer: -v*y + 1375967*v + 9*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 24 + 4 - 45. Let q be u(7). Suppose 3*x + 6*y = 3*y + 228, -5*x = -q*y - 344. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - v + 2, v + 7 = -5*t. Let a be (6 - -2) + (-3)\/t. Let g = 7 - a. Let m(s) = -s**2 - 5*s - 5. What is m(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) - (sqrt(156)*2 + sqrt(156))))\/(4*(sqrt(108) - sqrt(12))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*t**3\/11 + 120*t**2\/11 + 266*t\/11 + 196\/11.\nAnswer: 2*(t + 2)*(3*t + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4*p - 16, -k + 2*k = -2*p + 4. Let v be (-2)\/k*9*12. Let x = -33 - v. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 7) to base 11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -961, -2.\nAnswer: -961, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Suppose -b + 0*b - 10 = 4*o, 2*b = -2*o + 4. Let n be ((-8)\/(-24))\/((-2)\/b). What is the nearest to n in 1, t, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1927623, -1927624, -1927625, -1927626, -1927627?\nAnswer: -1927628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 0*h**3 + 0*h**3 + (-4 - 2*h**3 + 4)*(-h + 0 + 0) - h**3 + 3*h**4 + h**3 to the form r*h + n*h**3 + x + q*h**2 + o*h**4 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 96 + 1206. List the prime factors of f.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 645071 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**2 - 1260*b - 77575 = 0.\nAnswer: -145, -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-22))\/((-765)\/3927*525)\nAnswer: 2\/375","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43551326 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m - 1. Let o = 10 - 5. Suppose 0*c - 5*l = o*c, 5*c - 4*l - 27 = 0. Suppose b - 4 = 5*z, -5*z + 2 - c = -4*b. Determine g(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589063507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48870713 divided by 4843.\nAnswer: 10091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 940688 (base 16) in base 5?\nAnswer: 4440413000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 26 (c) -3 (d) 1\/4 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357553281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6003)\/(-783))\/((-2 + 3)\/(-3)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*t - 188*t - 34 = -5*i, i + 2*t = 14. Calculate the remainder when 87 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -241802*i*u**3 - 4*i + 16041*u**3 - 31*u wrt i?\nAnswer: -241802*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - 275?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/3, -13, 0.1, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = -2. Suppose -3*r + 0 + n = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w + 33. What is b(-19)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2448 and 7208.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + 22*a - 179. Let w be c(8). Which is bigger: w or -261?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7821954 rounded to 4 dps?\nAnswer: 3.7822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -1 - 14, z = 2*h - 6. Suppose z = -2*p + 140 + 282. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 3*f + 0*f + 31 + 4*f to h + d*f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17*q*q**7)\/(q**17*q)**(-47))**(-29) assuming q is positive.\nAnswer: q**(-25259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 1661568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 8*r + 5520000. What is r rounded to the nearest ten thousand?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-148)\/(-18) - 4 - (-4)\/(-18). Solve f = -2*h + 3*h + 5, -a*h - 23 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -756, 4 in descending order.\nAnswer: 4, 3, -17, -756","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = -3*c. Suppose -c*g + g = -104. Suppose -5*v = q - g, q + 0 = 3*v - 14. Solve 0 = 3*f + f + 5*r + 2, v*f + r = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1961 + 679 = 11*z. Is (-5 - 44\/(-8))\/(1\/z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10395848996.99999867 + -10395848826. Let v = u + -171. Round v to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 24 = -5*f, -2*f - 11 = 4*p + 13. Which is smaller: f or -33\/10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -32 + 4 - (3 + -2). Let k = 5999\/23948 - 3\/5987. Which is the biggest value? (a) 0 (b) l (c) -3\/2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1115.37+-0.39568\nAnswer: 1114.97432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78, -80, -92, -120, -170, -248?\n\"Answer: -b**3 + b**2 + 2*b - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 798 + -791.45. Let z = 6.556302 - t. Round z to four decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-8))\/q)\/((q\/(q*q**(-1)))\/q*q))\/(q**(-1\/14)\/(q**(-1)\/q))*((q**(-12)*q)\/(q\/(((q\/q**(3\/7))\/q)\/q)))**13 assuming q is positive.\nAnswer: q**(-337\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4 - -4)*(-4)\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139139 millennia in months?\nAnswer: 1669.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6.7. Which is the smallest value? (a) -1 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*3*3)\/sqrt(6) - (0 + sqrt(612))*-1)*5 + 0.\nAnswer: 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 23*i**2 + 8*i - 2. Let y(c) = c**3 - 24*c**2 + 9*c - 3. Let r(o) = -6*q(o) + 4*y(o). What is the second derivative of r(j) wrt j?\nAnswer: -12*j + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = -0*r + 2*o, 2*o + 4 = -2*r. Let f(h) = 2*h**3 + h - 1. Let v be f(1). Which is the nearest to 0? (a) r (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*s - 222 = -4*s, -154 = -3*g - 4*s. Let l be g\/2156*(-4 + 1590\/6). Let r = l + -50\/539. Calculate the common denominator of -133\/30 and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -24, 5*j = -28*l + 24*l - 17. Let a(k) = k**2 + 13*k + 7. Let v(s) = -6*s - 4. Calculate j*a(n) + 5*v(n).\nAnswer: 3*n**2 + 9*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 9) to base 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 4*j + 11, a + 3*j = 0. Let q(o) = -2*o**2 - 53*o - 61. Let t(s) = -s + 1. Let b(x) = a*t(x) + q(x). Differentiate b(d) wrt d.\nAnswer: -4*d - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1006781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20 + 3 + 13*l + l. Does 30 divide a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j = 140*j + 52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483227?\nAnswer: 19, 29, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**5\/35 + g**4\/14 - g**3\/7 - 3. Factor b(l).\nAnswer: l**2*(l - 1)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193951692*b**2 - 31097347*b wrt b.\nAnswer: -387903384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*(-92)\/276000*8\/6.\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 342 = 5*k, 5*k + 12*u - 350 = 17*u. What is the lowest common multiple of k and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-1 + 2*y**2 + 1) + 518*y**2 + 1010*y**2 - 677*y**2 + 1910*y**2 in the form z*y**2 + v + s*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + o**2)*(124*o + 21*o + 54*o).\nAnswer: -199*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/(sqrt(30)\/sqrt(6)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -164770 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 12, y: 7}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 98*r**2 + 134*r + 1704. Let f be j(-50). Let a = -2 + 2. What is the third biggest value in a, f, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 5*j**4 + 0*j**3 + j**3 - 4*j + 5*j + 2*j**3 in the form p*j**3 + h + w*j + x*j**2 + n*j**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2057, -4102, -6135, -8150, -10141?\nAnswer: -12102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, f: 3}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391019765, -391019763, -391019761, -391019759?\nAnswer: -391019757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfiddrdsd. Give prob of picking 1 s, 2 d, and 1 f.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, z: 1, k: 1, g: 1}. What is prob of sequence kc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 + 14*z**2 + z - 12. Let h(j) = j**3 - j**2 + 1. Let d(k) = -5*h(k) - x(k). Suppose 5*m - 42 = -4*y, 4*m + 0*y = -y + 38. Is d(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 1.5. Let m = -0.4 + z. Let t = -1 + 0.5. Which is the second smallest value? (a) 1\/2 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 267 = -31*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228 + 47*q + 228)*(14*q**3 + 5 - 5).\nAnswer: 658*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a hour in seconds?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + j = 4*j - 90, -2*j = -2*u + 56. Let c = u - 15. Let s(q) = -21*q**3 - 5*q - 4. What is the lowest common multiple of s(-1) and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1 - 4*m**2 + 4*m + 3*m + 10*m**2 + 0. Let c be o(-4). Suppose -13*t + c = -12*t. Calculate the remainder when t is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**6*t*t)\/t*t**13)\/(t**0)**(1\/3))**(3\/8) assuming t is positive.\nAnswer: t**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -112221 (base 3) in base 14?\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:01 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t*t**7*t)**(-18)\/((t\/((t**(1\/5)*t)\/t)*t\/t**(-3\/5)*t)\/(t**(-1\/2))**7) assuming t is positive.\nAnswer: t**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 228.367 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 33958*y - 57. Let i be s(23). Let z = 5425740 + 18155237. Let b = i - z. What is b rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 + 0.06. Let n = 19\/42 - -3\/14. Let d(x) = -x**2 + 8*x - 9. Let z be d(6). Which is the nearest to -1? (a) z (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -114.01686\nAnswer: 570.0843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceg when three letters picked without replacement from {c: 1, e: 5, m: 1, s: 1, g: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 196230438 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28381174 to the nearest integer?\nAnswer: 5327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -21 (b) -0.5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 89, 278, 645, 1250, 2153, 3414, 5093?\n\"Answer: 10*c**3 - c**2 + 4*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:09 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60220, -60249, -60278?\nAnswer: -60307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-26)\/((s*(s\/(s*s**5))\/s)\/s**5))**(15\/11) assuming s is positive.\nAnswer: s**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-46) + 76245\/(-6877)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(42)\/sqrt(6))**2*-4.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 992 and 7688?\nAnswer: 30752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21431414 (base 5) to base 2\nAnswer: -101101100001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 11270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-575)\/(-10)*(28\/(-10))\/(-1). Suppose -k = -m - 5. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 50. Let l be a(-24). Let o = 485 - 3401\/7. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 1 - -4 - 2) + 8 - 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - f)*(1073*f + 923 - 923).\nAnswer: -1073*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/6221 + -6233\/24884. Is z less than or equal to 4\/971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1126 - 1105 + 3*t**2 + 2263 - 3*t to the form j*t**2 + i*t + y and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3 - 0. Sort -3, -4, p.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -0*h - 4*h - 3*m, -4*m = -4*h + 200. Suppose 2*a + a = h. What is the lowest common multiple of 3 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 8*m**4\/3 + 32*m**3\/3 - 118*m**2\/3 - 46*m - 12 = 0.\nAnswer: -6, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 6*o + 6. Suppose 0 = 4*z + 8 - 24. Let f be j(z). Sort 1, f, 3 in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108216 times -2\nAnswer: -216432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -12 - -6)\/(2\/(-22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3565a7 (base 11) to base 3\nAnswer: 1001201010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/13, -3, -1, 0.5 in decreasing order.\nAnswer: 0.5, 3\/13, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let a = n - -2. Suppose 0 = 2*u - 5*g - 30, -a*u + 25 = -5*g - 20. What is the lowest common multiple of u and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-197)\/255 - 2\/(-5). Let m = b + 2\/51. Is -1\/3 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -429, -293, 83, 819, 2035?\n\"Answer: 20*a**3 - 4*a - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 3*j - 2. Let o be d(2). List the prime factors of 408\/o*(-4)\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24474 divided by 3?\nAnswer: -8158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -135610.1 to the nearest 1000.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -85573872 divided by 6\nAnswer: -14262312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1650755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 - s**2 - 6*s**2 + 0*s**2 as n*s + k*s**2 + z and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.125 litres in millilitres?\nAnswer: 977125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 2 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74475738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1097 = 2*j - 3*f, 5*j = -5*f + 5505. Let w = 31286 + -49284. Let l be (-2 + w)*j\/(-6). Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 + 2 - 2)*(-2 + 2 + 1) + 9*v**2 - 13*v + v**3 + 18*v**2 - 24*v**2 in the form f*v**2 + h + q*v**3 + u*v and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 3}. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -5 (c) 20 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 129 = 2*d + 5*d + f, -191 + 11 = 7*d + 2*f for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkd when three letters picked without replacement from {k: 5, i: 1, m: 1, d: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 634\/(-4) + (-2)\/4. Is (2\/(-2))\/(3\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 83097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 6*m**2 - 3. Let g be z(-6). Let h = -5 - g. Let i = 9 - h. Calculate the greatest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115\/(-2)*64\/(-20)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1 - l**2 + 2*l + 3 - 2*l. Let w be z(0). Suppose 15 = -w*j + 5*j - 3*h, -3*j - h + 7 = 0. Which is the third biggest value? (a) j (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*s**2 - 100*s - 2 wrt s?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 22690 + 31310 = 0. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106952 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 3*v)*(-3 + 13*v**2 + 3) - 16*v - 11*v**3 + 16*v + (-1 + 1 + v)*(2 - 2 + 2*v**2).\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*i - 111953, 447812 = 4*s - 30*i + 35*i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 17)*(-1)\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9))**(8\/9)\/(d**(2\/43))**25 assuming d is positive.\nAnswer: d**(-4394\/3483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvkuvuvjkvmkukv. Give prob of picking 1 u and 2 v.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**3 - 14*q**2 - 802*q + 19. Let l(o) = -5*o**3 - 10*o**2 - 602*o + 14. Calculate 8*j(u) - 11*l(u).\nAnswer: -u**3 - 2*u**2 + 206*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 - 2379*c + 7230. Give h(335).\nAnswer: -4160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 3*c - 48 = 0, -247*c - 17 = 4*b - 246*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 6*r = 8*r + 8, 4021*t + 4020*t + 13 = 8044*t - 4*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:00 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114139*a + 4560 = 114253*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1936 * -1876\nAnswer: 363.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.1239 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 267573.7nm?\nAnswer: 267.5737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266464985?\nAnswer: 5, 53292997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 2739582*q**3 - 625866952287*q**2 + 193821344522820*q - 15016055001660300 = 0. What is q?\nAnswer: 155, 456442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 367, 15, 3, 4 in ascending order.\nAnswer: -5, 3, 4, 15, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 3.2.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 1 h when three letters picked without replacement from {d: 3, h: 1, u: 4, g: 2, f: 3, p: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -10, -34, -76, -142?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 11*y**4\/24 + 5*y**3\/2 + 4*y**2 - 1. Let p(s) be the second derivative of i(s). Differentiate p(d) with respect to d.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 5. Let b be y(-5). Let h(d) = d**2 + 8*d - 446. Let t be h(18). Let q = b + t. What is the second biggest value in q, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 16*y + 33. Let i be u(-2). Suppose -3*m + i*x = -1069, -m + 371 = -3*x + 5*x. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.9 - 25.6. Let m be (5 + -2)*4\/(-36). What is the second biggest value in m, c, 3\/8, 0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03703 and 135.78933?\nAnswer: 135.82636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260456.7l to millilitres.\nAnswer: 260456700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3048 and 12.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 94. Let u = f - -14.8. Let j = 0.5 + 0.2. Which is the second smallest value? (a) j (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(5\/3))\/(w\/w**(-28))*(w\/w**(-16))\/w*w*w**(-4\/11)*w*w*w)**(-6) assuming w is positive.\nAnswer: w**(442\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4 + 6. Let b = 14 + -14.39. Let k = -0.29 - b. What is the nearest to c in -2, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 119 + (2 + 5 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 15*j**2 + 67*j + 13. Suppose 5*t - 53 = -3*d, 12*d = t + 8*d - 6. Is l(t) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/120 + x**5\/15 - x**4\/24 - x**3\/2 + 4*x**2. Calculate q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 396 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(7\/2)*v*v*v\/v**(2\/29)*v*v**35*v\/v**20*v*v assuming v is positive.\nAnswer: v**(1185\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-1 - (5 - 77)) + -3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*o**2 - 36*o**2 - 5*o**2 - 77*o**2 in the form l + s*o**2 + i*o and give s.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 3. Let b = -91 + 192. Suppose 2*p + p - 4*y = b, 5*y = -2*p + 52. Let r = -34 + p. Determine u(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426729 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 - 3*o + 41. Let f(p) = -p**2 + 3*p - 4. Let b(h) = 6*f(h) + n(h). What is b(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984 - 18*x**2 + 984.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-63)*(-7)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209263759?\nAnswer: 109, 1919851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.37 + -3.63. Let y = l - -3.91. What is the third smallest value in -1\/6, 3\/2, y?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3243001061 to the nearest integer?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m - 2*m)*(1 - 1 - 2*m**3) - m**4 - m**4 + m**4 + (-1 - 2*m**2 + 1)*(3*m - 3*m - 6*m**2).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234522 + -430?\nAnswer: 234052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 70 + 146. Suppose 4*c - t + 3967 - 4209 = 0, 98 = -7*t. Calculate the remainder when f is divided by c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/195872 and -89\/64.\nAnswer: 391744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3340 (base 7) to base 4.\nAnswer: -102310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408 + 276. Let w = z + 252. Suppose 2*i - 4*i + w = 0. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.96 + -0.04. Let n = u + 11. Let k = 8 - n. What is the third biggest value in k, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b**(-1\/7)\/b)\/(b**(-2\/7)*b**5) assuming b is positive.\nAnswer: b**(-191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33130313 - -121?\nAnswer: -33130132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-1230)\/8. Let z = -97 - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88.4408103 and -0.2?\nAnswer: -17.68816206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 - 13*d**3 + 6*d**2 + 2 + 14*d**3 + d**3 + 3*d - d to k*d + c*d**2 + q + r*d**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 - 10\/2. Let z(q) be the first derivative of q**3\/3 + q**2\/2 + 2*q + 2. Is 14 a factor of z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26581\/9 + -2953. Factor 0 - o*d + 2\/9*d**2.\nAnswer: 2*d*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-2\/5)))**(4\/11) assuming d is positive.\nAnswer: d**(-8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32312130302000 + 10?\nAnswer: 32312130302010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69, -84, -123, -198, -321, -504, -759?\n\"Answer: -2*z**3 - z - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 2*d**5\/15 + 11*d**3\/6 + 6*d**2. Let f(r) = -3*r**2 - 4. Let n(q) = 11*f(q) + 4*p(q). Determine x so that n(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40841 + -40839.8. Let s = -0.5 + -2.5. Which is the nearest to 0.7? (a) y (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 8*q**2 - 2*q - 10. Let z be (-10)\/375*5 - (-826)\/(-105). Calculate s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -24, -40, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*(w\/(w\/w**23))\/w)\/(w*w\/w**(3\/7)*w*w*w\/(w\/(w\/((w*(w*w\/(w\/w**(-3\/4)))\/w*w)\/w)))*w) assuming w is positive.\nAnswer: w**(915\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + -2 + 0) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711447 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -665, -1478, -2621, -4100, -5921, -8090?\nAnswer: -10613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-28 - -48) + 17 + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l - 16. Calculate the remainder when m(6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15444463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + m**2 - m. Let r be j(1). Suppose 23000000 = -r*l + 9*l. Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = o - 3, 2*o = 5*b + 6. Suppose o*c + 35 - 41 = 0. Suppose 0 = -c*z - z + 9. Solve 0 = -z*x - 12 + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from {z: 2, q: 1, f: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from birbmii. Give prob of sequence bi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31896 and 134672.\nAnswer: 1212048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7 + (-71208)\/11592.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - r = -11, 0 = 2*r + 3*r - 5. Let f be (-253)\/(-11) + 1*o. Suppose 4*b - 95 = f. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -37?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (7 + (-7 + 7 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -15. Let t = -84 - -83. Which is the closest to t? (a) -0.5 (b) s (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*w + 66*w + 117*w + 2142 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414967.\nAnswer: 7, 59281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 7220*u + 81 + 3582*u + 3635*u.\nAnswer: -3*u + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(14) + sqrt(14)*2*1 + sqrt(14))\/(sqrt(343) + (sqrt(343) - (sqrt(343)*-1 - sqrt(343)))))**2*-1 + 3.\nAnswer: 115\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3ba6 - -2?\nAnswer: -3ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 8 + 3 - 5)*(146*h**3 - 40*h**3 + 23*h**3).\nAnswer: -129*h**4 - 1290*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/12 + 3*y**3 - 41*y**2\/2 - 71*y. Let u be a(5). Let h = 19 + 53. What is the greatest common factor of u and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437030\/275 - 8\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 44, -3\/14 in descending order.\nAnswer: 44, 0.1, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(1053) + -5 + 0 + sqrt(1053))**2 - (-4*(2*sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143))\/((sqrt(132)*2)\/sqrt(12) + sqrt(11)).\nAnswer: -428*sqrt(13)\/3 + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z. Let q(b) = -3022*b**2. Determine c(q(h)).\nAnswer: 33242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -54.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 95 = 24. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 1. Let u be y(-3). Suppose 6*i - 2*i - 12 = 0. Sort -1, i, -10, u in descending order.\nAnswer: i, -1, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/2 - 2)*0. Suppose -2*a + n = -9, -3*a + g*n + 2*n = -12. Calculate the remainder when 11 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 980584*s**2 - 105961*s wrt s.\nAnswer: 1961168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100001 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 + (-19 + 4 - -7 - -13) + -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-3) + (-6 - (1 - -3)). Does f = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*4*5\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/311 and -42?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m - 5. Let d(y) = -12*y - 3. What is 3*d(r) - 2*q(r)?\nAnswer: -12*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 192 - 162 = -4*k, -4*a = 2*k + 2. Solve 4*l - 3*g + 7 = a*l, -g + 6 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 625\/7750*8\/10.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13581\/88, -82\/5.\nAnswer: -82\/5, -2, 13581\/88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*z + 4550 - 4384 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v. Let f = -1 + 1. Let a = f + v. Solve a*m + 2*m + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.3, -72790\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -5*u**2 + 28*u - 1620. What is d(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15*(-865)\/(-1038)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10111001?\nAnswer: 10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7601727 years in millennia?\nAnswer: 0.0007601727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 626 = 5*j, 3*f + f = -2*j - 2438. Is f\/(-2) + 12\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.01 + -40. Let v = -13.4 - -13.7. Which is the nearest to -2? (a) z (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 + 2*y**2 + 5*y - 8. Let f be l(1). Solve 5*v = f*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(672))\/(-4*sqrt(216)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.107 or -26172\/107?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76786 or -76783?\nAnswer: -76786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47739 less than or equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1716 divide 5783357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/2 - 23*q**2 - 203*q\/2 - 98.\nAnswer: -(q + 7)**2*(3*q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p + 80. Calculate t(17).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4 + 2. Let q = t - 2. What is the third derivative of 0*v**4 - q*v**2 - v**4 + 6*v**4 wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5189917 microseconds in days?\nAnswer: 0.00000000006387721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {q: 3, h: 2, m: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21041.31 nanoseconds?\nAnswer: 21.04131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*a = 3360. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:24 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 11. Calculate the remainder when b is divided by (-2)\/(-8) - (-19)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.491253 milligrams?\nAnswer: 2491.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -43*v. Let g be 1 - 2\/(-17) - 50\/425. Let s(r) = 26*r + 2 - 3 - 24*r + g. What is m(s(z))?\nAnswer: -86*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 2. Let h be u(4). Let j be (14*-2 + h)\/(-1). Suppose 0*m - j = -5*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + (-120)\/(-24). Let m(x) = -1404*x**2 - 9*x + 45. Let a be m(b). What is a rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -2\/7 (b) 0 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4914334 and 6677492?\nAnswer: 874751452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 1 - 15\/(-24). Let l = -6554\/3 + 2185. What is the second smallest value in l, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*k - 192 = 375*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12*z + 5. Let a be -1*(4 - (-3 + 2)). What is the remainder when 2 + (312\/(-96) - (-4)\/16)*-107 is divided by c(a)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -257, -533, -809, -1085, -1361?\n\"Answer: -276*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -2, 26\/11, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2851?\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-16) + (-3)\/(-12). What is the units digit of 2\/a + (15 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.065 or 235578?\nAnswer: 235578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12996368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/63 and 39\/84140.\nAnswer: 757260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804429027.\nAnswer: 383, 7322269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/(-120)*-12.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d + 21?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6)*(-20)\/3. Solve -y = y - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 614, -19439 in increasing order.\nAnswer: -19439, 6, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 divided by 3?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51559, -51558, -51557?\n\"Answer: n - 51560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.1200476.\nAnswer: 0.03601428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 - -3?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000 - -10100000?\nAnswer: 100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -34594 + 2*t**2 - t**2 + 2*t + 34640 - t + 14*t**3 as x*t + k + v*t**3 + w*t**2 and give k.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22022.3 millimeters in micrometers?\nAnswer: 22022300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 1 + 1)*(19 - 27 + 13 + z**2).\nAnswer: -z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4)*72\/126. Let f be (-4)\/(-6)*(41 - 38). Let c(k) = 5*k - 2*k**2 + 2*k**l - 3*k**f - 9 + 4*k**2. What is c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2680 + 70. List the prime factors of o.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/2 + 59511*p**2\/2 - 296168613*p\/2 + 10293129105\/2.\nAnswer: -3*(p - 9901)**2*(p - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-16*z**2 + 9*z**2 - 11*z + 9*z**2 + (z + 0*z + z)*(-2*z + 4*z + 4*z)).\nAnswer: -42*z**2 + 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193076671, 193076670, 193076669, 193076668, 193076667, 193076666?\n\"Answer: -t + 193076672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + m. Let s(l) be the second derivative of l**5\/20 + l**4\/12 + 3*l**2 + 2*l. Does 3 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5004 is divided by 76.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - (35 - 36) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1001840 and 10719688.\nAnswer: 107196880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231354 - 2?\nAnswer: -231400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + h**2 + 9*h - 13. Determine v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-144)\/(-90))\/(12\/30))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-12)*(-590)\/531.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 3*y - 4*d, -1373 = -y - 5*d - 1334 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 582, 4660, 15732, 37296, 72850, 125892, 199920?\n\"Answer: 583*c**3 - c**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 380*b**2 - b**4 - 101*b**4 - 380*b**2 - 4*b wrt b.\nAnswer: -1224*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(77)*-2 - (sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + -3*sqrt(77)*6 - sqrt(77))))))\/(sqrt(2816)*2 + sqrt(2816)) + -1.\nAnswer: -6 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-7))*l*(l*l*l**(-1\/3))\/l)**27\/((l**(-1))**(-33)\/((l*l*l**(2\/17)\/l*l)\/(((l*l**(-2\/13)*l)\/l)\/l))) assuming l is positive.\nAnswer: l**(-44582\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*c + 2, -9 = -3*c - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0.4, -1\/2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -433 divided by 433\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.732 - -0.73. Let i = c + -31.098. Let m = -31 - i. Which is bigger: m or -0.19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-2)\/3)\/((-2)\/2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 740\/9. Let o be 4\/14*(-1)\/(-2). Let f = 0.1 + 0. Put f, l, o in ascending order.\nAnswer: f, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/39 + -491\/156. What is the common denominator of 41\/5 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1056660 and 203\/5811630.\nAnswer: 11623260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 195\/60)\/(6\/9).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*w + 3478, 4*w - 2408 = -2*y + 1040. What is the remainder when y is divided by 218?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1628700 and 90585.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-398)\/(-10) - (603\/(-15) + 40)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2273 + 2273 + 8*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -152, 4, -1 in increasing order.\nAnswer: -152, -4, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13*v*v*v**13*v**(1\/11)*v\/(v**(5\/4)\/v*v*v)*v assuming v is positive.\nAnswer: v**(1225\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1033\/(-3099))\/(26\/(-3))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1844381 and 1844381 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**3 - k**2 - k - 1. Suppose 22*p - 25*p = 0. Suppose 0 = 3*r - 3*z + 9, -2*z = -p*r + 5*r + 1. What is q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192606 is divided by 3427?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 146\/8 + 45\/(-36). Solve -5*i + n - 7 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-9996)*-34*5\/(45\/4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 3*m - 4. Determine o(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169 + 6*h - 2*h - 95 with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1411*p - 4236*p - 11562*p**2 + 1412*p + 1413*p. Let t(o) = -2*o**2. What is m(t(f))?\nAnswer: -46248*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.2. Which is the nearest to 1? (a) 4 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12286 - 98287\/8. Let p(j) be the second derivative of -u*j**4 - 1\/6*j**3 + 0 - 1\/20*j**5 - 14*j - 1\/120*j**6 - 1\/8*j**2. Factor p(h).\nAnswer: -(h + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t - 2*w, -t + 0*t - 3*w = -1. Let x be -1 + t - (-5 + 3). Find the third derivative of -2*f**3 - 3*f**3 - 2*f**x + 2*f**3 + 4*f**2 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 4*k + 2. Give v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -8*c - 104 - 40 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.2. Let q = 537 + -512. Suppose 4*c + 24 = w, 7 + q = -4*c + 3*w. What is the smallest value in h, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5262*r - 1755*r - 1756*r - 1751*r + 1382*r**2.\nAnswer: 1382*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**3 - 6691020*j**2 + 6691020*j**2.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from vzmlzxlzzzll.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.82637 less than 2\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 20. What is the second derivative of -1 + 2*v + 1 - v**a - 3*v**3 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -748107605*k**4 - 872177426*k**2 wrt k.\nAnswer: -17954582520*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -0.5, 1\/3, 32046, 21\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*36*(-27)\/(-162)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, n: 1, g: 3, f: 5}. Give prob of sequence fne.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r. Suppose 2*g + 86 = -2*z, g = -2*g. Let o = z + 47. Solve 2 = l + o*p, 2*l - 2*p = -r*p + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*f + 19, -69*f + 71*f = 2*d - 24. Solve -3*v - 9*q - 11 = -d*q, 0 = -3*q - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*u + 10 - 28, -4*u = 5*a - 21. Let n be a + -1 + -1 - -1. Calculate the remainder when 87 is divided by (1 + n)\/(4\/88).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Factor -23*b + 3*b**2 + b**g + 23*b.\nAnswer: b**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvkkmkkmddkkkdk. Give prob of sequence kvmk.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 7*t. Let s(n) = 2*n**3 + 6*n. Let o(f) = 6*r(f) - 4*s(f). Find the second derivative of o(d) wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/40*16*4\/(-72)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/8 - 0) + (-15)\/(-4). Suppose 0 = -x*o - 5*a - 22, -7*o + 4*o = a + 26. Let g be (-18)\/(-15)*(-2 - o\/2). Solve -20 = g*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 864 divide 7138368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-12))\/(((-28)\/(-726))\/(-7)). Let k = -90 + n. Calculate the remainder when 91 is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1001, 1955, 2909, 3863, 4817, 5771?\nAnswer: 6725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245869*o**3 + 42042*o**3 - 65497*o**3.\nAnswer: -269324*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 9*y + 8. Let l be n(-7). Let v be 144\/(-32)*4\/l. Suppose -5*q + 25 = -40. Solve -2*r + v*r - q = 4*o, 0 = 3*o + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1. Let p(k) = k**2 - 6*k - 6. Let g(f) = 5*o(f) - p(f). Suppose -6 = -4*h - 2*u, 4*u = -5*h + 4*h - 9. List the prime factors of g(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 11*j**2 + 43*j**2 - 9*j**2 - 6*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68898 and -3.\nAnswer: -206694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31\/4136 or -1?\nAnswer: 31\/4136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + u + 3*u + u. Suppose -2*b + 3*s = 5*s - 274, -b = 2*s - 135. Let j(r) = 3*r**2 - 139*r + b*r. Give j(a(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r - 50*r = 33. Let x(f) = 158*f + 57. What are the prime factors of x(r)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 3*z**3 + 0*z**3)*(-z + z - 4*z**2) + (z**2 - 4*z**2 + z**2)*(-2*z**3 - 4 + 4).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.197 - 0.14. Let z = -10.2 - -10.277. Let x = z - o. Which is the second biggest value? (a) x (b) -0.5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 435\/40 - 11 - 27748\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010212 (base 3) in base 5?\nAnswer: -44040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121 and 22.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/120 + 13*o**5\/60 + 10*o**4 - 9*o**2 - 7. Find the second derivative of c(p) wrt p.\nAnswer: 6*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 3 (c) 4778 (d) 0.6 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 18. Suppose 0*l - u = -l. Let c = l - 10. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29918, -29885, -29852?\nAnswer: -29819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 11*x + 2. Let s be p(-11). Suppose s*f = 6*f - 16. What is the second derivative of 32*y - 3*y**f - 20*y - 20*y wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4*n - 27. Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-4 - -1))\/(-1 - 1). Let u be (12\/(-6) + r)*0. Solve 0 = -u*f + 4*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92045, -92009, -91899, -91673, -91289, -90705, -89879?\nAnswer: -88769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48 - 244*b - 3*b**4 + 8*b**4 - 241*b - 23*b**5 + 472*b wrt b?\nAnswer: -460*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3748373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4552*n + 170 = 4556*n, -5*d + 5*n + 50 = 0. Let l(b) = -b**2 - 13*b. Let p be l(-6). What is the remainder when (p + -1 - 0)\/1 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80137 and 3937.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 q when three letters picked without replacement from {q: 1, w: 7, t: 3, f: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) 244\/5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14.878 times -20859\nAnswer: -310340.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m - 426. Let r be i(44). Solve r*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 > -285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -4, -0.056, 1, 4.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + g**3 - g**3 + 2*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -4017558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(35\/21 - ((-18)\/(-135))\/((-4)\/(-95))). Let z = 62 - 559\/9. What is the second biggest value in n, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = -2*a, 2*s = 3*a - s - 21. Let i(b) = -b**3 + 5*b**2 + 7*b - 14. Let t be i(a). What is the highest common factor of 35 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -554*n + 9039. Calculate m(19).\nAnswer: -1487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1213112*w**2 + 607797*w**2 + 605314*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g - 49*g - 96 = -98*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/84*1*(-26488)\/17028?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((60\/10)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 + 40*d**2 - 80*d - 3. Let u(t) = -21*t**3 - 279*t**2 + 561*t + 24. Let y(b) = -15*i(b) - 2*u(b). What is the second derivative of y(p) wrt p?\nAnswer: -18*p - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**2*n + d**2 - 44*d*n - 7308*n - 4 with respect to d.\nAnswer: 16*d*n + 2*d - 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1137697\/18 + 63178. Let q = u - 28\/9. Find the common denominator of 83\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 3*p + 3*p.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 4640?\nAnswer: 111360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7023 = -4*t - 3*q, 2251 = 4*t - 5*q - 4732. What is the greatest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(3) - -3*sqrt(6)\/sqrt(2)))**2 - ((2*sqrt(2) + sqrt(2) + -2)*-1)**2.\nAnswer: -175\/8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4491443 and 2453.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 55*w - 65. Let m(c) be the third derivative of -5*c**4\/24 + c**3 - 2*c**2. Let o(g) = -6*d(g) - 65*m(g). Let y(q) = 2*q. Determine y(o(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*l**6 - 634286*l**3 - 12230155*l**2.\nAnswer: 960*l**3 - 3805716","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncnn when four letters picked without replacement from oonooccoonon.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 9*w - 12. Let j be 6\/(-2) + 2\/2. Let h be 1*3*j\/3. Let t be (-3)\/(h + 57\/24). Determine s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y**2 + 2649*y + 8692. Calculate f(207).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5356522 divided by -3.\nAnswer: 5356522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + 1. Let y be (-4 - (-50)\/5) + -2. Suppose c + 3*o = 5, 2*c + 2*o + 50 = y*c. Suppose 8*l = 13*l + c. Let w(g) = 4*g - 1. Give l*w(d) - 3*k(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*(2*x**3 - 3 + 3) + ((0 + x + 0)*(0 - 2 + 1) + 3 - 2*x - 3 - 4*x + 3*x - x)*(5*x - 5*x + 3*x**2) as b*x**2 + o + z*x**3 + s*x and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4273, 33538, 112943, 267550, 522421, 902618, 1433203, 2139238?\n\"Answer: 4177*d**3 + 8*d**2 + 2*d + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 450657409 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*h + 31608 = 620*h. What is the lowest common multiple of h and 8?\nAnswer: 10536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**3 + 17*m**2 + 20. Let t(d) = 4*d**3 + 6*d**2 + 7. Let j(k) = -36 - 31 - 6*k + 12 - 2*k. Let u be j(-9). Determine u*t(o) - 6*a(o).\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*z + 6*z = -7, -2*z + 14 = 4*q. Suppose -5*l - 33 = -2*x, -17 = -4*x + 6*x + 5*l. Solve -t = x*t + q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 3*i**2 - 4*i - 7. Let s be k(-3). Suppose 2*b - 62 = -2*o, 4*o = 3*b - s*b + 134. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a + 0 - 2 - 5*a**3 + 2 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 14*f**2 - 45*f - 14. Let p be s(6). Solve 0 = -p*d + 5 - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*n - 134*n + 692 = 92*n - 89*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34549151?\nAnswer: 7, 13, 17, 23, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.2, 1229?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -45. Let v(q) = q - o + 12. Let w(f) = 9*f. Give w(v(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-18))\/(-8))\/(2\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 18}. What is prob of sequence ei?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 132232013?\nAnswer: -132232111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8 and -51\/1534.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-69)\/(-115)*(-40)\/(-6). Solve -n + 4 = d*x, -4*x + 20 = -0*n - 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 39349430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9655 - x**2 + 9655.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**48*((v*(v*v**(-2))\/v*v)\/v)**(-31))**(-5\/8) assuming v is positive.\nAnswer: v**(-635\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 + 10*q - 10. Let f(l) = 3*l**2 - 11*l + 11. Let n(i) = -2*f(i) - 3*g(i). Let u = 18 + -10. Let a(v) = v**2 - v + 1. Calculate u*a(t) - n(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 29*z - 32*z, 3*z = -3*v + 27. Let q be 17 + v + (-5)\/(-5) + -8. Calculate the greatest common factor of 75 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3505 + 3505.1. Which is smaller: l or -1.557?\nAnswer: -1.557","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 - -147. Suppose 3*h + 3*p - 8*p = 29, -4*h - 3*p = 0. What is the first derivative of 3 + 12*m**h - 5 - d*m**3 wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-10) + -1 + 6118\/230. Suppose 0 = h + 1 - 3. Let a = h + 25. What is the greatest common factor of a and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:57 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 127 - 34. Suppose 8*y = 4*g + 5*y - x, 4*y = -2*g + 10. What is the remainder when 25 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 - 1376316*a + 6881655 = 0.\nAnswer: -458777, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4db - 1?\nAnswer: 4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*s - 281*s = -560. Solve -3*a + 55 = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -842, -1862, -3290, -5126, -7370, -10022?\nAnswer: -13082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (114\/190)\/((66\/(-220)*2)\/((-12)\/14)). Solve 2\/7*n**4 - 16\/7*n - k*n**2 + 4\/7*n**3 - 8\/7 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163515, 167218, 170919, 174618?\nAnswer: 178315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(2 + sqrt(13))**2 - (sqrt(91)*2*-6)\/sqrt(7).\nAnswer: -85 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/14 and 83\/1712?\nAnswer: 11984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + l = -1, -3*z + 8*z = -4*l - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-5)\/7)*-1. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 17*d - 19. What is p(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(-5 + -682). Is c\/22 + (-32)\/(-176) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.087.\nAnswer: -0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -7*m**5\/300 - m**4\/12 + 4*m**3\/15 - 22*m**2. Factor h(l).\nAnswer: -(l + 2)*(7*l - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(153)\/sqrt(9) + (sqrt(17)*-2 + -1)**2.\nAnswer: 3*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p - 10. What is d(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1295 + 269. Let k = 4726 + h. What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300645 + -26306.\nAnswer: -326951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5142008, -10284020, -15426032, -20568044, -25710056, -30852068?\nAnswer: -35994080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -71 + 107. List the prime factors of ((-1714)\/d)\/((-7)\/42).\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z - 32. Let y(b) = -5*b - 31. Give -6*f(g) + 7*y(g).\nAnswer: g - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 + f**2 - 9 + 2 + 7*f**3. Let i(m) be the second derivative of -11*m**5\/20 + 2*m**4\/3 + 11*m**2\/2 + 27*m. Determine 5*i(o) + 8*l(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*j**3 - 4 + 108*j**3 - 394*j**4 + 397*j**4 - 1 to the form p + u*j**4 + c*j + b*j**3 + f*j**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4655350*-1\nAnswer: -4655350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 9*c - 2. Let b be w(4). Let h be (1 - -4) + (-9 - -6). Let j(u) = -18 + b - u + h*u. Let g(f) = 10*f**2. Calculate g(j(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 0*i - 1285*i**3 + 1286*i**3 + 8*i - 25.\nAnswer: i**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352*c + 5141*c**2 - 635*c + 517*c + 1239*c + 924*c wrt c?\nAnswer: 10282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -33 + 334 + -308 + -2 + 1 + -17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108892 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2 + 2*x - 1. Let t be k(-2). Factor -t*g - 2*g**4 - 6*g**2 - 15*g**3 + 3*g - 7*g**4.\nAnswer: -3*g**2*(g + 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 + -57. Suppose -6*q + a = 13. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 16) + 0 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-2\/21))\/t**(-19))**35)**(-20))**(2\/3) assuming t is positive.\nAnswer: t**(-84400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 - (0 + -9 - (-24 + -11 - (-1 + -25)))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose x - v*y - 22 = 0, 0*y - y = -3*x + 44. Let g = -3 + x. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1170 and -97\/43149210.\nAnswer: 129447630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**4\/4 - c**3 + 5*c**2. Let v(a) = -9*a - 9. Let h(y) = 7*l(y) - 5*v(y). What is the first derivative of h(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 30 = -b - 0*b, -3*b + m = -65. Suppose -3*c - b = -7*c. What is the least common multiple of c and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/((k*k**(-1))\/k))\/k)**(-2))**(-1)\/((k**(1\/2))**(3\/2)*k*k**(-2)*k*k**(1\/3)\/k) assuming k is positive.\nAnswer: k**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*y + 1434, 4*y + 3*d + 1430 = 8*y. What are the prime factors of y?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 + 372*l + 1232 = 0?\nAnswer: -7, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2159 - 4819*z - 2178 + 4337 to c*z + o and give c.\nAnswer: -4819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0476003l to millilitres.\nAnswer: 47.6003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*r - 29 = 0, -16 + 10 = -2*j - 4*r. Is (5 - 1) + j + 1976 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/294 and 161\/180.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -1\/6*x**3 + 0*x**4 - 1\/2*x**2 - 3\/20*x**5 - x + 0. What is the units digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 3*t - 5. Let d be r(-4). Suppose -3*n = -d, 4*a + 5*n = -34 + 187. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 15*i**2 + 13*i - 10. Suppose 75 = -10*o + 5*o - 5*s, 0 = 4*o - 5*s + 51. Let a be b(o). Let x be (3\/(-15))\/(a\/(-20)). Solve x = -c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*((((z**(2\/15)\/z)\/z*z)\/z*z)\/z*z)\/z)**(-2\/35) assuming z is positive.\nAnswer: z**(676\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -92. Suppose -3*n - 78 = 3*z - 8*z, -j = -4*z - 3*n. Let c be -1*(3 + z\/(-2)). Solve 19 + c = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3095 - 15473\/5. Which is the closest to 1\/2? (a) 5 (b) 18 (c) -2\/11 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22644395 is divided by 1820.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38337 (base 9) to base 16\nAnswer: 64c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2. Let o(w) = 1113 - 554 + 698*w**2 - 559. Determine o(l(p)).\nAnswer: 2792*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*z - 3 + 10, -4*z + 2 = -5*h. Let i be 7*z\/(-6)*2. Let m(s) = s**2 + 7*s + 3. Give m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209796277.\nAnswer: 3, 13, 23, 2463541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3229009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccssc. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + g. Suppose -7*v + 3 = -4*v. Give f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + 6 - (-1 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -3*r**4\/4 - 6*r**3 - r**2 - r + 72. Is j(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*s - 1 + (2 - 1 + 0)*(0*s - 3*s + 5*s) + s + 0*s + s - 387*s - 55*s - 3 + 25*s to the form w + l*s and give l.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2584 divided by -1292.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14278.\nAnswer: -14278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 7*o + 9. Suppose s = 2*c - 12, -9*c = 3*s - 4*c + 14. Let v be n(s). Suppose p = -4*l + 1, -5*l - 4*p = -8*p - v. Solve l = t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4059 - -4057. Which is the nearest to 5? (a) l (b) -1\/4 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134714 and 4?\nAnswer: 269428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*c + 31*q - 81, -3*c + 621*q - 81 = 626*q for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011101011100 + -1110?\nAnswer: -11010011101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 4*i)*(21710*i - 306397440 + 306397440).\nAnswer: 43420*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3810 (b) 1409\/4 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-2)*36\/32*10\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -670? (a) -2\/7 (b) 0.426 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 88683 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -38. Calculate the remainder when ((-1230)\/120)\/((-1)\/8) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*z + 109 = -11, 0 = -c + z + 32. Let i be (4 - c\/5) + 6. What is the third derivative of -43*q**i + 4*q**2 + 8*q**4 - q**2 + 43*q**3 wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loz when three letters picked without replacement from {l: 7, d: 4, o: 1, r: 2, z: 1}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*i - 64 = 0, 168 = j + 3*j - 2*i. Suppose 3*c = j + 152. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170582461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253257 by 4533.\nAnswer: 84419\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. What is the tens digit of p\/(-4) - (-189)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/12 + x**3\/6 + 8*x**2. Give y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, q: 2, j: 1, z: 1, n: 1}. What is prob of sequence nj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 5*n = 5*c, -4*n = -2*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99689293374 + 99689293374 + 6*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, t: 5, p: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5673*k**5*p**3 + 14667*k**2*p**3 wrt k?\nAnswer: 340380*k**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23*s**3 - 11*s**2 + 14*s + 6. What is j(2)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*m = -6, -2*m + 12 = -0*d + 2*d. Sort -5, 4, d in increasing order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 77 = -4*a, g + 18*a = 27*a - 167 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207*v**4 - 5834*v**3 + 2*v**2 - 109*v + 163744?\nAnswer: -2484*v**2 - 35004*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (21 + -8 - 12) - -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 322 (b) 0 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122354 and 32690.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 18. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2343, 9380, 21115, 37554, 58703, 84568, 115155?\nAnswer: 150470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107670 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -6*j. Suppose -630 = -53*b - 206. Suppose b = 4*r - j*r. Solve l - r = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770 is divided by 923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 40*k - 149. Give j(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/5837793 and 19\/1646557.\nAnswer: 64215723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 104 = 3*i, -5*i + 2*m + m = 148. Let q = -20 - i. What is the first derivative of 2 + 1 - q*u**4 - 4 - 2 wrt u?\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 34. Let r be (-1 - (n + 2))\/(-1). Suppose z + 12030 - 38430 = r. Round z to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (10 - (3 + 22 + -3)) + 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 + w**5\/20 + w**4\/12 + w**3\/3 - w**2. Let s = 3 - 5. Let t be u(s). Are 3 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6189.356m in nanometers?\nAnswer: 6189356000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769206 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4686*(-142)\/541233 - (-2 - (-41)\/21)\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*g**5 - 42*g**4 + g**2 + 28773*g + 2 wrt g.\nAnswer: 960*g**3 - 504*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 20*l = -23*l + 2, -4*l + 6 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57672230.\nAnswer: 2, 5, 7, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/1)\/(-2 + 84\/72)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1958*w + 1954*w - 4 = 0. Sort -10, -2, w, -5 in descending order.\nAnswer: w, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a + 9. Let f(i) = 6*i + 7 + 2*i - 20 + 27 + 9*i. Give -5*f(d) + 8*t(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 2*b**2 - 2*b. Let g(j) be the third derivative of 1\/24*j**6 + 1\/12*j**5 - 1\/4*j**4 + 0*j + 5*j**2 + 0*j**3 + 0. Determine 3*g(t) - 8*u(t).\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 34*l**2 + 4*l. Let c(y) = 2*y**3 - 49*y**2 + 73*y - 9. Let r be c(24). Let f(q) = -r*q + 586*q + 578*q. Determine f(i(j)).\nAnswer: -102*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 3*w)*(-18*w**2 + 3*w - 4*w - 2 + 13*w**2) in the form o + i*w + p*w**3 + a*w**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*v, -2*a + 14 = 3*a - 2*v. Suppose -3*k + k = 0, 0 = -a*l + 4*k + 20. What is the remainder when 10 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a + 1031. Let f(z) = -26*z + 3092. Let x(q) = 4*f(q) - 11*g(q). Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u + 2*u + 107 - 107. Let r(d) = 11*d. Let l(i) = 4*f(i) - 5*r(i). Let a(p) = -1 + 1 + 10*p - 12*p. Calculate a(l(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*m + 29 = 0, 6*v - m = 11*v - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/14685 and -145\/6?\nAnswer: 29370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -31\/30*m**6 + 0*m**2 + 5\/4*m**4 + 0*m**5 + 0*m**3 + 0 - 24*m. What is the third derivative of i(a) wrt a?\nAnswer: -744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428 and 2362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 4*m + 5*m - 1 + 2*m. Let p be o(-3). Solve 0 - 2 = -p*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 26*z + 4770 - 4761 = 6*z, 0 = -3*x + z + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1. Let q(v) = -v**2 + 6*v - 4. Let k(m) = 3*f(m) - q(m). Suppose 67*w = 41*w - 46*w - 360. Let g(n) = -n**2 + 7*n - 2. Calculate w*g(d) - 6*k(d).\nAnswer: -d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -8. Let i = h + 9. Suppose 3*q = -0*o + 5*o - 638, i*q - 122 = -o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 22. Let r be (2 + -38)*(-21)\/n. Factor -2*b**2 + r - 28 - 30 + 6*b.\nAnswer: -2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.6, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 593447 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736 = -3851*j + 3759*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 12. Let u = -0.2 + 5.2. Let d = v - u. Which is the biggest value? (a) -0.1 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93790 and 32255.\nAnswer: 605039290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13565 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7665*l + 138067. Determine c(18).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = 2, 6 = -2*x - 2*u. Let z be x*(125 - (-6)\/(-2)). Suppose 3*m - 236 = -3*q + m, 3*q + 4*m = z. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14.817949, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/3 - -211\/630. Let u(f) be the third derivative of -1\/180*f**6 - f**2 + 0*f**4 + 1\/180*f**5 + 0*f + h*f**7 + 0 + 0*f**3. Factor u(a).\nAnswer: a**2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002066887 rounded to seven decimal places?\nAnswer: -0.0002067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*q = 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 6. Let r(c) = c**2 + 9*c + 11. Let i be r(-8). Suppose i*f - 12 = 4*v + f, 0 = 5*v - f + 21. Let z(n) = -n - 5. Determine v*z(d) + 4*b(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 2. Let b be 2*3*12\/18. Let v be a(b). Let m = v - -20. Solve -3*x + 6*x = m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -13*g**2 + 2927*g + 2614. Give c(226).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11528 and 2368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.8 + -17. Let v = 1 - 1.4. Sort 2\/13, l, v.\nAnswer: v, l, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*t + 206 + 77*t + 61)*(-18*t**3 + 16*t**3 - 2 - 7*t**3) to the form p + j*t**4 + x*t**3 + b*t + y*t**2 and give x.\nAnswer: -2403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4180.838km?\nAnswer: 4180838000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 1. Let z(q) be the third derivative of 7\/24*q**4 + q**2 + 1\/60*q**5 + 0*q - 208 - 1\/3*q**3. Determine 5*f(k) + 2*z(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 14 + 6 - 2 - 3 + (0 + 3 - 2)*(0 + 0 - 2))*(3 - 2491*i + 2364*i - 3).\nAnswer: 635*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 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: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 7) + 15 + -25 + -56\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9 - 22 + 8 + 8 + 3*y. Suppose 4*w = -5*n - 31, 4*w - 3*n - n + 4 = 0. Give g(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 443433 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43108554*r**2 - 242861343*r?\nAnswer: -86217108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 232632385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 260407.5 - -6263.5. Let u = d + -266669.20013. Let j = u + -1.8. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 + -2)\/(6\/57). Let f be (-27)\/24*n\/6. Let k = -28 + f. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1779074 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h + 3. Suppose -1995*a + 1984*a = -88. Let c(q) be the second derivative of 0 - 11\/6*q**3 - 4*q**2 - 4*q. What is a*x(s) + 3*c(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*n - 13, -6 = u - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 46. Let c be u(-19). Is 6 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 14.3, -0.7, 314, 0.5, 4, 14?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g. Let q be x(-1). Suppose -4*t = 5*y - 0 - q, 0 = -5*t + 4*y + 23. Let r = t - -3. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*k*r - 854*k - 114*r + 153 wrt k.\nAnswer: 26*r - 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 52 = -4*b + 19, -3*b = -2*q - 45. Let z be b - -1 - 4\/(-2). Let a = z - -4. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.41 from 1278.\nAnswer: 1277.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b*b**2*b)\/b)))**(19\/4))**(3\/7)*(b**0)**(4\/25)*(b**(-1)*b)**(-44) assuming b is positive.\nAnswer: b**(171\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 1. Let w be h(-2). Suppose w*q + 6 = -3*z - 3, 33 = -3*q + 5*z. List the prime factors of (16\/6)\/((-1)\/q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209665 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 3 - 3)*(0*s - 2*s + 4*s)*((-8 + 3 + 3)*(-36 - 65 + 6) - 8 - 2 + 0).\nAnswer: -2160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811684780 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715939555 to the power of 1\/2, to the nearest integer?\nAnswer: 68673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 3*o + 14. Suppose -5*v = t - 377, -t + 6 = o*v - 359. List the prime factors of t.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -8 + 7*d**4 + 0*d**2 + 2\/3*d**6 + 0*d + 4*d**5 + 4*d**3. Factor r(j).\nAnswer: 4*j**2*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26659279224 and 12479.\nAnswer: 26659291703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - -44) + -52 + -51 + 110?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11 - (-37 - -20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - j + 2*j - 1818, -5*i + 5*j = 4535. Suppose -4*f - 7584 = -2*q, -4*q = 3*f - 8190 - 7000. Let o = q + i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3920 and 480?\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958011 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a day in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x*x*x*(x\/x**(-2\/13))\/x)**(4\/33) assuming x is positive.\nAnswer: x**(320\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105360000 rounded to the nearest 1000000?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = 138 - 42 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2547447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 86*c**2 + 10. Let a(f) = -41*f**2 - 6. Let p(m) = -5*a(m) - 3*s(m). Let o(u) = 25*u. What is o(p(d))?\nAnswer: -1325*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3258 rounded to one dp?\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.3 (c) 6\/11 (d) 0.3 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.59915 - -16.132?\nAnswer: 13.53285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-70641 + 70641 + 211*j**3 + 3*j**4) to the form o*j + k + s*j**3 + h*j**2 + t*j**4 and give s.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -636628\/11 or -57874?\nAnswer: -636628\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76314 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9827 + 4?\nAnswer: -b9823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 + 44*i**3 + 6046*i**2\/7 - 39408*i\/7 - 45144\/7 = 0. What is i?\nAnswer: -22, -1, 6, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6)\/((-24)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141035189 or -1269316700\/9?\nAnswer: -1269316700\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l - 180*l = -942*l - 70863 for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*f - 8, -14*f - 37 = 5*c - 16*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 4*y + 24. Let m be b(-6). Suppose u + v = 0, -2*v + 42 = -4*u + m. Let x(i) = i**2 + 5*i - 3. Give x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 42*i**2 + 18. List the prime factors of z(3).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:05 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.2 + 46. Which is the closest to 1? (a) -5 (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31213010 + -2?\nAnswer: -31213012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -998813870365 and 5.\nAnswer: -998813870360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97040419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(272) + -2 + sqrt(272) + sqrt(272) - sqrt(272)) + -5 + 0 + 4) + 1.\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/7 + (-51)\/(-56) and (13 + -9)*((-315)\/(-48) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 9*s - 3. Let i be c(4). Suppose -5*h - 5 + 21 = 3*b, i = -3*b. Solve 0 = -k + 4*v + 8, -5 - h = -5*k + 5*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**3 + 4*w**2 - 4*w + 1. Determine p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5 (c) -4204 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 m when three letters picked without replacement from {c: 3, m: 3, a: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 79. Let i be r(0). Suppose -3*l = -5*l + h + i, -3*l + 135 = 4*h. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 7*c + 4*c - 5*j + 39 = 0, 261*c - 3*j + 6*j - 2*j = -515 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.49 (b) 0.7 (c) -0.4 (d) 0.2 (e) 104 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 47. What is p(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Let y(z) = -3*z**2 + 7*z - 6 - 4*z**2 + z**3 + z**2. Let q be y(p). Solve q*f + 5*x = 15, -f = f - x - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/6 + -11\/30. Let a = -0.120165 + 0.020165. Let q = -0.1 - -0.4. What is the nearest to a in -0.3, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18.8783199775 and -0.4?\nAnswer: 18.4783199775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340090634 to the power of 1\/2, to the nearest integer?\nAnswer: 36607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u + 5. Let h be b(0). Let f(q) = 2*q**2 - 8*q + 6. Let p(g) = -g**2 + 7*g - 6. What is the smallest common multiple of p(5) and f(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*t = 20 - 35, 5*q + 5*t - 5 = 0. Let p be q\/((4\/(-6))\/(69\/(-9))). What is the highest common factor of 851 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2 - 4 - -4) + 1)*10. Suppose -o - 2 = -5. Suppose n + w + w = 13, 3*n + o*w = h. Solve -2*g - 3 = n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15*k + 10*k = -2029, -2*d + 4034 = -2*k. Suppose 0 = -34*i - d + 8921. What is the remainder when i is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 29*v + 146. Let l be j(-5). Let s be (-18)\/(-22)*(-3)\/(-9). Is s greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-2460)\/16) + 2\/8. Suppose 4*a - t = 395, 554 = 4*a + 5*t + b. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -28 - 52. Is (-1)\/5 - 3264\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151012131 a multiple of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001101110 + 1111011011010000?\nAnswer: 1110000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 2, -6, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 149*g**4 + 3093*g**3 - 19289503*g**2 wrt g?\nAnswer: -60*g**2 - 3576*g + 18558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2776 and -89\/10?\nAnswer: 13880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + c + 10. Let p be t(5). Find the second derivative of -5 - p*i**4 + 3 + 47*i**4 + 2 + 145*i wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 2*i + 10*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 87*f**4 - 99*f**3 + 1887*f**2 + 5142*f + 3240 = 0.\nAnswer: -27, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*b + 9. Let d be ((-15)\/10)\/((-63)\/b). Factor -d*n**2 - 8\/7*n - 16\/7.\nAnswer: -(n + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46422*w**3 - 22521?\nAnswer: -139266*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-10) - (-273)\/(-35). Let h(q) be the first derivative of -21*q**2\/2 - 5*q - 3. Is h(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48091779811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(1\/4)))\/(j\/((j*j*j*j**(-12))\/j))*(j**(-6))**(38\/5))**(2\/3) assuming j is positive.\nAnswer: j**(-1127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r - 2*h, 2*r = -5*h + 16. Let p be r*(-14 - -2) - 0. Solve 21 + 0 = 5*a - m, -4*m - p = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:48 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 7. Let n(p) = -p**2 + 18*p - 4. What is the tens digit of n(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z + 164 = 2*q, 0 = 2*z + 5*q + 84. Let m = z - -8. Let b be (-4*1)\/(m + 6). Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -506\/6515 or 133?\nAnswer: -506\/6515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4952097 minutes to hours.\nAnswer: 0.008253495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*s - 3107 - 547 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.875 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - n = 2*n - 17, -c = n - 7. Let s be -2*(c + 15\/(-6)). Does 3 divide (-2 + (3 - -2))\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 38*f**2 + 34*f - 195. Let g be s(-39). Solve -18 = -g*v + 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 + 2*k**3 + 149257431*k - 149257431*k.\nAnswer: 2*k**3 + 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 6*s + 3. Give m(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2535 and 6760.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*((-81)\/(-3))\/(9\/(-30)). Calculate the highest common divisor of 280 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, -31\/72, -5, -0.3, 5, 0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367843 is divided by 1830?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 28. Let w = 11 + -19. Calculate the remainder when 2*(-1 + 13\/2) is divided by i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((30\/4)\/(-5))\/((-5)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 84, 123, 160, 195?\n\"Answer: -c**2 + 44*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(192)*2)*-2)**2 + (-4*(sqrt(192) - (1 + sqrt(192))))**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 63*f - 2. Suppose 4*a - 4 = -0. Let d be (-3)\/2*(-1 - a). Let g be b(d). Calculate the greatest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604745?\nAnswer: 5, 79, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66933134?\nAnswer: 2, 67, 457, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5913*b + 5946*b = 528 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 9*t - 19. Let x(c) = -c**2 - 10*c - 17. Let q(u) = -4*a(u) + 5*x(u). What is q(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.021?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (56 - 67) - 93\/48?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 a factor of 16875488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/6, -3, -358.7, 0.3, -0.4, 7\/30, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*i**4*r + 1887810*i**3 + 7*i**2*r - 7044150*i*r + r - 1 wrt i?\nAnswer: -744*i*r + 11326860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*b + 5*h, 2*b = 2*h - 4. Suppose -3*f - 119 = -4*c - 38, b = 4*c + f - 101. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 12895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225391*q**6 - 863*q**2 - 6 wrt q.\nAnswer: 27046920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357121 is divided by 178503.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191 - -310. Let u = j + -118. Sort -5, u, -1.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.65271 nanograms in micrograms?\nAnswer: 0.04865271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*((d*d*d\/d**1)\/d)\/d)\/d*d*d**(2\/11))**(1\/36))**(2\/81) assuming d is positive.\nAnswer: d**(13\/16038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -116538.73 rounded to the nearest 10?\nAnswer: -116540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(693) + -2*sqrt(693)))\/((sqrt(66)*-4)\/sqrt(6))*-3.\nAnswer: -27*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 145. Suppose -3*s - m - 5 = j, m + 5 = 3*s - s. Put -13, -3, s in descending order.\nAnswer: s, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2984.98203 - 2985. What is d rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -15*s**2 - 40*s - 25 = 0.\nAnswer: -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -169018 (base 11) to base 14\nAnswer: -6b115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1739\/4 - -424. Find the common denominator of z and -79\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 1, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057363 - 4613?\nAnswer: -4613.057363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1531133698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 489718, 979155, 1468592, 1958029?\n\"Answer: 489437*i + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1017 + 1010.246. Round t to 1 decimal place.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1698 and 6008.\nAnswer: 5100792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/380*-24)\/(2\/10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 567 and 648?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 364*c - 6756. Determine k(-159).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1))\/((-2)\/3*-27). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Suppose 3*x = 3*k, k = -u*x + 3*k + 8. Let v = 7 - x. Let d(y) = -y**3 + 3*y**2 + 3*y - 3. Calculate d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 406 - 158. What is the highest common factor of 1364 and q?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t - 104*t - 68*t.\nAnswer: -160*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -0*r + 3*r. Let m = -1 + r. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 3:01 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19.66 times 74.5\nAnswer: 1464.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*j**2 - 41*j**2 + 19*j**2)*(-2 - 17 + 5) as u*j + l*j**2 + q and give l.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 676211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*3\/15 + (-24)\/(-10). Find the third derivative of -33*j**2 - 2*j**5 + 24*j**z - 3*j**5 wrt j.\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3*i - 1. Suppose -3 = 3*m, 0 = -4*h + m + 35 + 10. Let n = h - 9. What is the units digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -2, 5\/2, -2\/5.\nAnswer: -119, -2, -2\/5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1020\/(-380)*(201 + -220)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(2\/9)))*v)\/v**(-11)*(v\/v**(1\/4))**(14\/3))**(-34\/5) assuming v is positive.\nAnswer: v**(-5117\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-37))\/((-1000)\/(-1875)) and -119\/6.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -42 - 11 - -16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6821 + -6793 + (1 - 0 - 2) + (0 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (16 - -8) - (-1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/6 - 2)\/((-3)\/27). Let d(x) = x**2 + 7*x + 1. Let s be d(r). Let v = 23 + s. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -389 and -730 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*-3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -43. Suppose 7 = -4*w + 6*a - 7*a, 26 = -2*w + c*a. Let d(u) = 5*u + 1. What is d(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*p - 7686 - 146 = 3688 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7720263 meters in nanometers?\nAnswer: 772026300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + (-2820)\/(-9))\/(9\/27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -315\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 9 = 0, 0 = -y + 6259*q - 6255*q - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -c, -2*a + 7 = -2*c + c. Let b be (-1)\/(-3) - 22\/(-6). Suppose c*x - x + 444 = 4*u, 5*u = -b*x + 581. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -869, -7, 28, 1\/5, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k + 5095 = 14269. What are the prime factors of k?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*t = 2*y, 17*y = 4*t + 22*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2429, 4195, 5961?\n\"Answer: 1766*n + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 20*w**2 + 12*w - 182. Let x be s(9). Solve 0 = -v - 85 + x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 98 (b) 32 (c) 2\/17 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6611977 is divided by 550995.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**3*y\/((y\/(y\/(y*y**5)*y))\/y)*y*(y**(5\/3)\/y)\/(y**(-2)\/y)*(y*y**(5\/2)*y**(-7))\/(y**(1\/8)\/y**(-7)) assuming y is positive.\nAnswer: y**(-119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 5:57 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -7 - -9) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:45 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 9*f - 33 - 38 - f)*(2*f**4 + 2*f**4 - 6*f**4).\nAnswer: -18*f**5 + 142*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 406*c = 401*c - 18, -5*l = 5*c + 15. What is the second smallest value in 2\/3, 0.02, -1\/2, 4\/7, l?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 561945619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3*l + 3 + 2)*(20*l + 146 - 146) + (-2 + l + 2)*(-2*l + 3*l + l) - 2*l**2 - l**2 + 5*l**2 to the form i*l**2 + o*l + m and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 5*h + w - 3, -4*w + 12 = -3*h. Let o = -19 - -13. Let m be (-1)\/o*2\/(-1). Which is the closest to 1\/2? (a) m (b) 3\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-242))\/((-36)\/396)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -53 - (6 - (22 - 19) - -9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*z - 104610*m - 5440*z wrt z.\nAnswer: -2*m - 5440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1 (c) -0.3 (d) 1\/124 (e) -157 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -1*((sqrt(475) + -1)**2 + -4) + 0 + (sqrt(475) - ((-2*sqrt(475))**2 + 5) - -5*(-1 + sqrt(475))**2)).\nAnswer: -7 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -13*m**2 + 240. Let d(x) = -14*x. Give u(d(h)).\nAnswer: 364*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w + 14*w - 6*w + 2*w in the form r*w + v and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12068*r**2 + 12074*r**2 + 23 + 51)*(4*r**3 - r**3 - 4*r**3).\nAnswer: -6*r**5 - 74*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/30 + 3*o**4\/4 - 10*o**3\/3 - 6*o**2 - 8*o. Calculate g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, f: 3, l: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 5*f**2 - 5*f - 7. What is m(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o + 713. Let d be t(79). Factor 4\/5 - 2\/5*w**d - 2\/5*w.\nAnswer: -2*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27196356 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*d + 12, -2*d - 3*r = -4*d + 16. Suppose 2*k - 22 = -d*c, 15 = k + 4*c + 1. Solve -2 - 13 = 4*j - i, -i - k = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4517532*z + 436470.\nAnswer: 4517532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, -8, 10, -5, -7\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b. Let l(d) = -d - 3. Let v be l(-4). Let s(h) = -1303*h + 703*h + 597*h + 2*h**2 - 4*h**2. What is v*s(q) - 3*k(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**22\/((c*c**36*c*c)\/c*c))\/(c**(2\/53)\/(c*c\/c**(-26))) assuming c is positive.\nAnswer: c**(581\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*p - 132*p - 393. Calculate the remainder when 197 is divided by p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 4*d**2 + 4*d + 3. Let z be r(-3). Suppose 18*p + 311 - 815 = z. Solve 5*w + p = 3*c, 7*c = 4*c + 2*w + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1824)\/(-112))\/((-12)\/(-8)) + -10?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:23 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6)*-2)\/14*(-152)\/(-4788)*14.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (9054 + -9127 - (-14 + 0 + -1))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-46)\/10. Sort -13, 1\/2, t, -1\/3 in ascending order.\nAnswer: -13, t, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/60)\/(4\/24). Suppose 0*o + 0 + 4\/5*o**4 - 2\/5*o**3 + f*o**5 - 4\/5*o**2 = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2*j\/(j\/(j*j**(-5))) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - -4) + 9 - 1) + (-17 - 17).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/40*i**5 + 2\/315*i**7 + 1\/36*i**3 + 1\/42*i**8 + 0*i + 0 - 53\/720*i**6 + 5\/144*i**4 + 7*i**2. Let s(f) = 0. Calculate f.\nAnswer: -1, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245488482*u**3 + 850863034296*u**2 + 153599254*u + 6932 = 0. What is u?\nAnswer: -1\/11079, 3466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10242)\/(-8535))\/((-3)\/60)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (825\/(-231))\/(35*(-15)\/17640).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2628*f + 2649*f - 84 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662971?\nAnswer: 113, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 633 and 457211047?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(12\/(-32) - 0). Solve -8*o - h - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3443046671.\nAnswer: 101, 34089571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 128 = -3*z, -136 = -4*f - 7*z + 2*z. Find the third derivative of -11*c**3 + 38*c**2 - 6*c**3 - f*c**2 - 26*c**2 wrt c.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 358, 5, 1598, 4.\nAnswer: 4, 5, 358, 1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01157 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7145 (b) -2\/445 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 12) + (6 - (24 - 3848\/143))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.333 - 0.043. Let p = s + -0.29. Is p smaller than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - h. Suppose 4*o - 127 = h*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -620*l**5 + l**4 + 628*l**2?\nAnswer: -37200*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38801727304 - 1\nAnswer: 38801727303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(11\/3))\/g**(-1\/2))**24 assuming g is positive.\nAnswer: g**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823 is divided by 1778?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b - 1 - 3\/5*b**5 + 3\/2*b**2 + 9\/4*b**4 - 3*b**3. Find q, given that j(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13843 and 8.\nAnswer: 110744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 117. Let g be ((-3)\/((-54)\/(-4)))\/(h\/(-9)). Let 0 - 1\/4*z**4 + 1\/4*z**g + 1\/4*z**3 - 1\/4*z**5 + 0*z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let p(l) = 36146*l**2 + l - 1. Give q(p(j)).\nAnswer: -36146*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 2:29 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94, 151, 216, 295, 394, 519?\n\"Answer: v**3 - 2*v**2 + 56*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134293871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*j - 272 = -72*s - 92, -2*j = 4*s - 76 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 9, -0.4, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 6885 + 6875 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/176034 and 48\/35?\nAnswer: 6161190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39471598 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*x + 47, 3*l - 4 - 26 = -3*x. Let b = 0 + l. Suppose b = 2*p + p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*2 + 4 - (sqrt(300) + sqrt(300)*-1 + -2)) + 0)**2.\nAnswer: 240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n - 3. Let a = -6 - n. Let y(p) = 3*p. Give y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.2, 79041, 3, 0 in decreasing order.\nAnswer: 79041, 3, 0.2, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 48. Suppose 5*m - 569 = -t. Suppose -395 = -3*u - 2*k - m, 0 = u - k - 95. Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**9)**(-38)*g\/(g\/(g*((g**(-2)*g)\/g)\/g))*g\/(g*g\/g**(5\/3)*g) assuming g is positive.\nAnswer: g**(-1147\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + 3115530?\nAnswer: 3115245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 6*j - j.\nAnswer: 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 212*o + 10 - 88*o.\nAnswer: -300*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103.1 - -103.03. What is the closest to h in -5, 28, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -1*sqrt(500)) + -2 + 1*(4*(sqrt(385)\/sqrt(63))\/sqrt(11))**2.\nAnswer: -50*sqrt(5) + 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Suppose 4 = x - c. Solve x*y - 20 + 0 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2498 divided by 6.\nAnswer: 1249\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m + h - 5, 4*h + 10 = -2*m. Let p = 0 + m. What is the units digit of (-11)\/(-3)*p + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205366, 410832, 616284, 821716, 1027122, 1232496, 1437832?\nAnswer: 1643124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80645 - -177.39.\nAnswer: 80822.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*((-96236)\/5390 - -18).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + (28 - 38).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163\/2 + -80. Let t(n) = n**2 - 10*n + 11. Let r be t(9). Suppose 2*l - 3*l = -r*z + 1, z + 3*l - 4 = 0. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/40*1450\/(-435)*(-44)\/(-10) + 7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:18 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16167*g - 16128*g - 663 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-28))**(-46)*(k*k\/(k*k**(-3\/13)\/k))\/((k*k**(-16\/3))\/k) assuming k is positive.\nAnswer: k**(50527\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 59049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296891 and 2387246.\nAnswer: 6059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1564*k**2 + 3*k**3 + 1587*k**2 - 4*k**3 + k**4 + 5*k - 3*k to x*k + m*k**4 + i*k**3 + d + q*k**2 and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6723105037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4 and 404349 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 2*q**2 - 2*q + 2. Let m(l) = -4453*l**2 + 8901*l**2 - 5*l + 10*l**3 + 5 - 4443*l**2. Suppose -2*u = -6 + 16. What is u*h(i) + 2*m(i)?\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 + -3256.\nAnswer: -3263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4355 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3237, 4, -2574, -5, -2 in ascending order.\nAnswer: -3237, -2574, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 220039 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(270)*2 + sqrt(270))\/(-1*sqrt(6)*-6).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - p - 3. Let a(v) = 2*v**2 + 4. Let s(b) = 2*a(b) + 3*l(b). Let c(f) = 1. Calculate c(m) + s(m).\nAnswer: m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 274\/3699*-1*(-4)\/216*6.\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -516193, -1032385, -1548577, -2064769, -2580961?\n\"Answer: -516192*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -0*w. Let s be (-28)\/w - 8\/(-12). Is (-2 + 3)\/(1\/s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-46)\/(-460)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s. Let a = -8 + 12. Suppose a*r = -r + 20. Suppose 0 = -r*t - t. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 642 and 458.\nAnswer: 147018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Suppose 4*o - 5*h + 3*h - 34 = 0, 36 = 3*o + 2*h. Suppose -c + 3*c + 2*m = o, c - 8 = -4*m. What is the lowest common multiple of t and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, t: 2, k: 1, d: 3, u: 6}. What is prob of picking 3 v?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -31*(1 - 0) - 3. Let o = q + 49. Suppose -5*s - j + 3 = -0, 3*s + 5*j - o = 0. Solve -4*y + 17 + 3 = s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11728, 23347, 34814, 46135, 57316, 68363, 79282, 90079?\n\"Answer: q**3 - 82*q**2 + 11858*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u + 89. Let f(o) = -9*o - 87. Let j(k) = k**3 - 18*k**2 - 5. Let l be j(18). Let d(q) = l*f(q) - 4*h(q). Differentiate d(r) with respect to r.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 - 279*b\/2.\nAnswer: -3*b*(b + 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:31 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2\/(-9))\/(224\/1176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122)\/(-8))\/(1178\/(-9424)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -17, -44, -89, -158?\n\"Answer: -k**3 - 8*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3302 - 14378.\nAnswer: -11076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 32*s - 7320 = 0. Let r = s - -307. Let d(a) = -63*a**2 + 33*a. Let l(x) = 4*x**2 - 2*x. What is r*d(o) + 33*l(o)?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*y + 6 = 1, 4*k - 3*y - 25 = 0. Let d = k + -8. Suppose -4*x - 33 + 85 = 5*r, x = d*r. Calculate the remainder when 23 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r - n, -23 = 3*r - 0*r + 5*n. Let y = 5 + r. Which is smaller: y or 4\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 940725 and 3885.\nAnswer: 6585075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5 and 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149472433951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.99723 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*g + 16 - 86, -5*g = b + 10. Let h = 30 + b. Let u(c) = -13*c - 116. Calculate the lowest common multiple of h and u(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2394226*2\nAnswer: 4788452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3 + 92*k**2 - 286*k + 200. Let s(y) = -7*y**3 - 92*y**2 + 285*y - 201. Let x(o) = 5*r(o) + 4*s(o). What is c in x(c) = 0?\nAnswer: -49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10318*q - 1774695. What is r(172)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/324 and 167\/11466252?\nAnswer: 34398756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6*c = 0. Suppose 0 = 3*q + 6, -3*q - 4 = j - c*q. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - -31 - (-9 + 28 + -16).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5607628799178491\/5541698416182390 - -10\/178937630487. Let h = 43\/1630 + s. Let a = -18\/19 + h. Is 1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(77) - sqrt(77)*3 - sqrt(77))\/sqrt(7).\nAnswer: -9*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 2.4. Let v = -2 + j. Let p = 5 + v. What is the nearest to p in 4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*g + 24 = -263*g + d, 3*g - 3*d = 0. Sort g, 2, -689.\nAnswer: -689, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d**2 - 5*d - 13*d**2 - 17*d**2 to j*d**2 + u*d + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-360) + (-3)\/(-15). Let o(m) be the first derivative of -5 + 0*m**2 + 1\/3*m - r*m**3. Factor o(a).\nAnswer: -(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 31555.\nAnswer: -4\/31555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(0 + sqrt(7)) - (2 + -1*sqrt(343))**2 - ((3 + 1*sqrt(7))*-6 + (1*sqrt(77))\/sqrt(11) + sqrt(77)\/sqrt(176)).\nAnswer: -329 + 111*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**3\/6 + i**2\/2 + i. Let m = 0 - 5. Let h = 4 + m. Let y(n) = -6*n - 6. What is h*y(q) - 4*j(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 2313?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4053, -16205, -36459, -64815?\n\"Answer: -4051*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 134, 193, 252?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(108)*-4 + 2) - (1 + (-1*(2*sqrt(108) + -1))**2)) + 0.\nAnswer: -424 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2040116 - 2040116 - 6*d**3 - 8*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 5*i - 8 = 3*b, -4 = -2*b - 4*i. Suppose -3*w - q = -55, -3*q = -4*w - b*q + 64. Calculate the highest common divisor of w and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 4*w**3\/7 + 15*w**2\/14 + 3*w\/7 + 7. Factor v(y).\nAnswer: 3*(y + 1)*(4*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/5 - 8\/40. Suppose -r - b = -2*r. What is the smallest common multiple of 2 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 1. Let t be i(-1). Let f(s) = 5*s - 1. List the prime factors of f(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13417 + 13411. What is the closest to 0.1 in 2, q, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -986 = -5*s - 78*u + 75*u, 788 = 4*s + 2*u. Calculate the remainder when 9405 is divided by s.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1899, 7411, 16529, 29259, 45607?\nAnswer: 65579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152157196\/29 + 5245379. Let f = l + 1421. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29259 + -5?\nAnswer: 29254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-36) - 32\/(-18). Suppose -f - 3 = 3*n - 4*f, 2*f = 5*n + h. Suppose 3*v + 2*v - 305 = n. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 491*p - 27 = -488*p, -5*p = 5*c + 40. What is the fourth biggest value in 2.7, 7, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 6*k + 10. Let s be t(5). Solve 0 = s*j - 0*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:05 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 2*y**2 - 1 + 3*y - 4*y - y**3. Let g be t(-3). Let q be (-21)\/(-6) + 1\/2. Is g >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**3 + b**4 - 9*b**3 + (252*b + 25*b + 23*b)*(b + 5*b**3 - b) in the form u*b**4 + d + z*b**2 + g*b + r*b**3 and give u.\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2367\/5?\nAnswer: -2367\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1107285 (base 9) to base 14.\nAnswer: -1171d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5 + 13 = -2*a, 4*r + 2*a - 16 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252)*5)**2 - (sqrt(847) + 4*(sqrt(847) + sqrt(847)*-1) - ((sqrt(847) - (sqrt(847) + 0)) + 5))**2) + 2 + 1.\nAnswer: 110*sqrt(7) + 24331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 12. Suppose -k + 61 = 4*m, 3*m - 44 = 4*k - a*k. Calculate the highest common divisor of 75 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 1, v: 1, c: 5, d: 3}. Give prob of picking 1 v and 1 c.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -169500.8?\nAnswer: -169500.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loolloiio. Give prob of sequence lilo.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -224, -542, -1070, -1808, -2756, -3914, -5282?\n\"Answer: -105*o**2 - 3*o - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 35832*b - 80245764.\nAnswer: -4*(b + 4479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(0*m - 3*m + 5*m) - 2*m - m - 2*m + 1 + m - 1.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5 + 0*h**2 + h**2 + 6*h**2 - 4*h - 5*h**2. Let v be 18\/4 + 2\/(-4). What are the prime factors of c(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7831 + 7844. Let l be 1 + 3\/5 - 1. Which is the smallest value? (a) -1 (b) i (c) -5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 2 + 46 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let z = -2 + j. Suppose -g + 1 = -z*g. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 - 315*d - 618 = 0. Calculate d.\nAnswer: -103, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*(0*r**2 + r**2 + 0*r**2) - r - 77*r**3 + r**2 + 4*r + 79*r**3 + 39.\nAnswer: 3*r**3 + r**2 + 3*r + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21354846 to the power of 1\/2, to the nearest integer?\nAnswer: 4621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 229. Let d(c) = -21*c + 33. Let i(m) = 69*m - 110. Let h(p) = 10*d(p) + 3*i(p). What is l(h(z))?\nAnswer: 3*z + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - m + 1. Let t(l) = 6*l**3 + 3*l - 3. Let y(q) = -6*k(q) - 2*t(q). Find the third derivative of y(n) wrt n.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -4\/5*b**6 + 0 - 2\/21*b**7 + 210*b + 0*b**3 + 0*b**2 + 0*b**4 + 0*b**5. Factor f(a).\nAnswer: -4*a**4*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3448913, 6897829, 10346745, 13795661, 17244577, 20693493?\n\"Answer: 3448916*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 267*h**2 + 133*h. Calculate y(-133).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12)*2*132\/(-1232)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y + 165*y = 512 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4309, -8621, -12933, -17245?\nAnswer: -21557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401*q**5 - 32*q**2 - 10 wrt q?\nAnswer: 24060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:44 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {y: 2, i: 4, r: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -24\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q + 35 = 0. Let z(p) = p**2 - 9*p + 3. Let w be z(8). Let l = w - q. Let o(a) = 4*a. Determine o(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*d + y + 3*y, 3*d + 5*y = 26. Solve 5*i = 4*c - 9, -6*c + 3*c = i - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -154. Put -6\/7, -2\/7, -0.1, t in ascending order.\nAnswer: t, -6\/7, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/10 + m**5\/20 + 4*m**2. What is the third derivative of y(i) wrt i?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*z = -24168 - 26129 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*m + 9 = -o + 1180*m, -m - 87 = -13*o - 4*m for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -2, -5, 3\/2, -34582?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-13 - -37) + -11 - (4 + 6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 716 - -82?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from {g: 1, r: 5, p: 1, x: 1, n: 3, s: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25091*i**6 + i**4 + 16*i**3 - i**2 + 496042*i?\nAnswer: -3010920*i**3 + 24*i + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 34*h = 30*h - 21, -5*m + 2*h = -13. Is m less than -2\/2609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 16042.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879018 is divided by 2469.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.091, 3\/4, 3, -967, -0.4, 5, 0?\nAnswer: -967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008772 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*j - 19, 0 = -4*u - j - 3*j + 32. Let w = -122 - -49. Let k = -48 - w. What is the remainder when k is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84946515 rounded to the nearest 100000?\nAnswer: -84900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 34. Let o be -1 + (3 + f)*-2. List the prime factors of (o\/2)\/((-1)\/(-72)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1 + 8*j**2 + 6 - 3*j**3 + 2*j**3. Let c be b(8). What is the derivative of c*d**4 + 2 - 5 - 3 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 80 (b) 0.3 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11835.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -61. Find the second derivative of 312*i**5 - x*i**2 - 308*i**5 + 3*i**2 - 11*i wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8533193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-1 + 6 - (41 + -79 - -77))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 + g**2 + 6. Let i(s) = 9*s**3 - 2*s**2 - 13. Suppose 35*p = 38*p - 39. Determine p*w(y) + 6*i(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 167881840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d + 223 = -34*d + 1763. Solve 24*n = -d - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55054 or 58753?\nAnswer: 58753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/1554*-37*10.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -1411.5808996103?\nAnswer: -1411.4808996103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/10 - 8*f**3\/5 - 48*f**2\/5 - 128*f\/5 - 43. Factor v(b).\nAnswer: -2*(b + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 340, 520, 694, 850, 976?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -689254+-0.1\nAnswer: -689254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m**2 - 5*m + 10. Suppose 0*i - 40 = -4*i. Let v be n(i). What is v rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44350487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15 + 6*d + d**3 + 9 - 22 + 5*d**2. Let v(w) = w**3 + w**2 - 4. Let s be v(0). Determine h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*w + 14 = 0, w = -3 + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/120 + 7*y**5\/30 - 17*y**4\/24 + 5*y**3 + 2*y**2 - 13. List the prime factors of a(11).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2\/25, -2, -10.3827 in ascending order.\nAnswer: -10.3827, -2, -1, 2\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 12*s - 10*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**4\/4 + 16*v**2. Let r(d) = -d**3 - 3*d**2 + d. Let g be r(-3). Let f = g + -7. Let w(a) = 2*a. What is f*w(b) - 3*i(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/12*((15 - 8) + -29). Solve 3*d + 6 = 5*k + b, -4*d = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4202 is divided by 134?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 38. Let m = q - 10. Suppose 3*d = 2*b - 0*b - m, 4*d = -3*b + 31. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4 - 4. Find the third derivative of 3*b**2 + 0*b**4 - 3*b**2 - b**2 - 3*b**m wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 1, t: 1, b: 4, m: 4, s: 3}. Give prob of sequence jjb.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3584 by -5.\nAnswer: 3584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((-1)\/(-2))\/((-258)\/3096)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -821, -1155, -1383, -1469, -1377, -1071, -515?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8084618.2587 plus 187?\nAnswer: -8084431.2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -131. Let d be (-78)\/(-273)*14\/q. Let l(s) = 6*s + 2. Calculate l(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1984238 or 1984237?\nAnswer: 1984237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2745542 (c) -0.4 (d) 1 (e) 1\/4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3. Let g = -0.4 + 0.3. Let y = -21\/5 + 99\/20. What is the closest to u in g, 4, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -156*j + 6*j**2 + 319*j + j**3 - 158*j - 1. Give h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 651071*g**3 - 18*g**2 + 68*g + 23?\nAnswer: 3906426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13922 divided by 6961?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 11*j**2 - 9*j - 36. Let x be s(12). Suppose -109*z + 111*z - 352 = x. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 526725 and 82575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -2763895\nAnswer: -14\/2763895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Suppose 0 = -o*n - 7 + 2. Let v(q) = q**2 - 1. Let c(u) = 2*u**2 - 2*u - 5. Give n*c(r) + 3*v(r).\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 + 29*w**2 - 9*w**2 - 16*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*w - 2*w + 14, -6 = j - 4*w. Suppose 0 = 2*m + 5*k + 127 + j, 0 = -3*m - 5*k - 191. Let l = m + 89. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13302547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1842, 3689, 5534, 7377, 9218?\nAnswer: 11057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*d = -20, -1 + 6 = r - d. Suppose -2*t + r*a + 213 = -868, -5*t = a - 2689. What are the prime factors of t?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-1) + (-72)\/(16\/(-2)). Sort -18, h, 3, -8 in descending order.\nAnswer: 3, h, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-48))\/((-20)\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754863*t + 754894*t = 507 + 82 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 441.1745l?\nAnswer: 441174.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 207\/702 + (-1)\/3. Put x, 5, -5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m**2 + 4*m)*(-2*m + 2 + 1 + 3*m)*(-8 + 8 - 12*m**2).\nAnswer: -12*m**5 - 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 378299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -155, -152, -143, -122, -83, -20, 73?\n\"Answer: g**3 - 3*g**2 + 5*g - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*r + w, 102 = 1314*r - 1323*r - 3*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12 and (-2 - 87\/(-45))\/((-4784)\/7956).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116.07 + -115.97. What is the biggest value in b, 1, 84.84?\nAnswer: 84.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -12. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 1085*h**4\/3 + 3*h**3\/2 - 15*h**2\/2 + 151*h. Is b(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.24 (b) -0.1 (c) -4 (d) -16646 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*w - 34, 5*w - 7*w = -p - 4*w - 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5 + 4*d + 0 + d**2 - 3. Let y be k(-8). What is the greatest common divisor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:45 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146139, -292312, -438517, -584754, -731023, -877324, -1023657?\nAnswer: -1170022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f + 2*w + w, 2*f + 4*w = -2. Let b(p) = -p - 7. Let q be b(-3). Let r be (-3 - (-20)\/q)*-2. Solve -x = -2*i + f, i - 2*i = -5*x - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -33, -56, -89, -132, -185?\n\"Answer: -5*w**2 + 2*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(1\/4))**(1\/21)\/((g**(-1\/9)*g)\/g*g*g\/((g**(-2\/3)*g)\/g)))**(-21))**(3\/37) assuming g is positive.\nAnswer: g**(617\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**2))\/((f\/(f\/(f\/(f*f**(2\/9)\/f*f*f)*f)))\/f))\/((f\/f**(-2\/11))\/((f**1*f)\/f)) assuming f is positive.\nAnswer: f**(301\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(187) - sqrt(187)) + sqrt(187) + sqrt(187) - sqrt(187))\/sqrt(11).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4796 = 1555*h + 2142*h + 53753 + 87832 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -13 + 4 + (121 - 6 - (-36 - -41))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000713219 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -126. Suppose -2*s = 3*d + t, 6*d - 7*d = -3*s + 12. Is d less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + m - 35, -3*o + 8*m - 13*m = 113. Sort -0.1, -0.2, 5, o in descending order.\nAnswer: 5, -0.1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 <= 49274\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + 96. What is the tens digit of (7\/(-4))\/((-4)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101.5 + -434.5. Let m = -520 - k. Which is greater: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + 0.2. Let g = -2.3 + x. What is the closest to -1 in 3\/4, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 33840612?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/5, 8, -7, -1\/3, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + n - 5 + 2*n + 3*n**2. What are the prime factors of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1826, 3649, 5472, 7295?\nAnswer: 9118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d - 6 = 0. Let t be 1\/(-3) - (-1)\/3. Let s(i) = -i**3 - 2*i**2 + 28*i - 13. Let j be s(4). Solve 2*w + 9 + j = -d*k, t = 2*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55626)\/(-1397)*-44)\/(-24).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(-1\/2)\/r)\/r*r)\/r)\/r**(2\/17))**(-27\/2)\/((r**(-1)\/r)**(-12)\/((r\/(r\/(r*r**(-6))))\/r*((r\/r**0)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(-555\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -16657\/5 = -3330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*r**5 - 1265538*a*r**2 - 3*a*r - 35763*r wrt r.\nAnswer: 40*a*r**3 - 2531076*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*18*(-100)\/16875.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*j**3*r**3*y - 4*j**3*r*y**2 + 76*j**2*r**3*y**2 - r**3 - r**2*y wrt y.\nAnswer: -8*j**3*r + 152*j**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729057 is divided by 419.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 - 1904*s**4 - 46800*s**3.\nAnswer: -4*s**3*(s + 26)*(s + 450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239743227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24645749?\nAnswer: 67, 73, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmzzzezmmqmm. What is prob of sequence zeq?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/609 and (-147)\/(-19894)*(-335)\/(-75)?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2 - 60.2. Let m = x + 41. Which is smaller: m or -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 12839*g - 13 - 178 + 96 to x*g + w and give x.\nAnswer: 12839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-18)*(4 + (-1 - -1))*1737\/386\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.687053mm in nanometers?\nAnswer: 7687053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7482 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 0 (b) 35 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 - 2*b**5\/15 + 11*b**4\/24 + b**3 - 166*b**2. Give i(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 4 + 5*r**2 + 0. Let d(p) = -p**2 + p - 1. Suppose -1 = 13*l - 14. What is l*w(a) + 2*d(a)?\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-480))\/(18912\/(-2836800))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 22213, 4 in ascending order.\nAnswer: 4, 19, 22213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 + 0.41. Which is the nearest to -0.3? (a) -5 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((4 - -2) + -4)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48131.62+0.049\nAnswer: 48131.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 17*y**3 - 3*y**2\/2 + 67. Let x(v) = 2*v**2. Give x(r(u)).\nAnswer: 5202*u**4 - 612*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2. Let v(o) be the first derivative of o**4\/12 + 2*o + 6. Let p(s) be the first derivative of v(s). Calculate j(p(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.9231 to one decimal place.\nAnswer: -58.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.5 - -9.5. Let c = 20 + m. Let z = -25.999948 - c. Round z to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.1 - -7.48. What is g rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6263759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 39194*k - 3716548. What is m(-96)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/357828 and -19\/24?\nAnswer: 715656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008238 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 54*r + 2592. Calculate x(-85).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48 (b) 1\/8 (c) -231 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006112603 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.21019t to nanograms.\nAnswer: 72210190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -32, -61, -110, -185, -292?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/4)\/(-4 + 2538\/636)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.478 + -3.713. Let n = y + 0.477. Let j = n - -0.058. Round j to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - 21*r + 43*r**3 - 12 + 30*r**3 - 124*r**3 + 51*r**3 to the form u*r + k*r**3 + f*r**4 + v + w*r**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 2*w**2 + 46*w - 5. Determine y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 130*t**3\/3 + 318*t**2 - 261*t. Find the first derivative of r(g) wrt g.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (633\/7596)\/((-4)\/(-1056))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3465 and 1.2.\nAnswer: -4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 17*v**2 - 11*v - 14. Let t be u(-8). Solve -5*h - 40 = 5*x - t*h, 5*h - 22 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j - 3. Give h(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1141512 from 1.95.\nAnswer: -1141510.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, -25535 in decreasing order.\nAnswer: 23, 2, -25535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - (2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -194, -384, -574, -764?\n\"Answer: -190*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, s: 1, g: 2, q: 2, d: 1}. Give prob of picking 1 q and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5685820403 to the nearest integer?\nAnswer: 75404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 1.2. Let u = -50.96 - -51. Let c = -142 - -996\/7. What is the third smallest value in v, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/2 of a minute?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 676 or 2030\/3?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d = 129*d - 1030. Solve 0 = 5*j - 5*q - d, -2*j + 9*q + 4 = 10*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqcf when four letters picked without replacement from {m: 1, q: 1, a: 2, c: 1, f: 2, v: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + 4\/(-35). Suppose 4*k + 3 = 27. Suppose -k = 3*l + f, -4*l - 3*f - 10 = -f. Do l and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 5*p - 2. Let c(v) be the first derivative of v - 18 + 1\/3*v**3 - 1\/2*v**2. Give 3*c(n) + s(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/3 - 4380344*p**3\/3 - 8760697*p**2 - 39423146*p\/3 - 17521400\/3 = 0. Calculate p.\nAnswer: -4, -1, 4380350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2013186333 to six decimal places.\nAnswer: -0.201319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 621984 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h = -4591 + 4290 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-108))\/(37\/(-5254)) - (11 - (3 - 3))?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*b**3*d - 79842*b**3 - 2*b*d - 218*b + 197*d + 2 wrt b?\nAnswer: 120*b*d - 479052*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 (base 11) in base 14?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.3946441 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 3, 0.\nAnswer: -2, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/9 (b) -0.03 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -1 - ((131 - 126) + -25).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 4 - 6)*(2*g + 4*g - 2*g) + (2 + 3*g - 2 + (1 - 1 + 2)*(-3*g + g + g))*(-1 - 2 + 2) in the form s*g + l and give s.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Suppose 0 = -3*x + 8*d - 3*d - 19, 2*d = -2*x - 2. Let i be g(x). Let y(l) = 5*l + i - 3*l**3 + 2*l**2 - 12 + 2*l**3. Calculate y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274768 by 4.\nAnswer: -68692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 362, -1, 3 in ascending order.\nAnswer: -1, 3, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.03 and -0.4.\nAnswer: 1.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/36 + 2*q**3\/9 + 10*q. Suppose w(n) = 0. What is n?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6.5. Let y = -6858 + 6856. Put y, 0, h, 14 in increasing order.\nAnswer: y, h, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 - 4*k. Let n(b) = -3*b**2 - 4*b. Let t(c) = 6*i(c) - 5*n(c). What is the second derivative of t(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/82? (a) -4\/9 (b) -1\/69 (c) 0 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*d**3 - 2*d**2 + 289*d**3 - 148*d**3 + 14 as f*d**2 + w + z*d + r*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {p: 1, g: 1, c: 1, d: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -812?\nAnswer: 3\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-462)\/(-4))\/((-735)\/(-343)*3\/90*126)?\nAnswer: 77\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 + 2055. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559065529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1194 = -2*z + 2*b, 5*z + 4*b = -2981. Let x = -192 - z. Suppose 358 = 3*k - x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -11. Let j = -27 + u. Find the common denominator of j\/45 + 866\/(-320) and 37\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583937939 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 303 - 78 - 225.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69503387*y - 139006776*y + 69503437*y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273217 + -273215. Let s = -6 + 4. What is the third biggest value in -136, s, q?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -697 - -699. Solve 19 - 21 = c*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:22 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g**3 - 16*g**3 - 19*g**4)*(4 + 0 + 1)*(-35 - 8*g + 35).\nAnswer: 760*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.424711809 to 5 dps.\nAnswer: 0.42471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -60*y + 59*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775 - 1315. Let b be (-552)\/h - (-4)\/(-18). Determine v so that 2*v - 2\/5*v**5 + 4\/5 - 8\/5*v**3 - 8\/5*v**4 + b*v**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 33, 40?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 8. Let f(h) = h. Let o(b) = 2*f(b) - p(b). Let t be o(9). Suppose 0 = y + y - 2*v - t, -2*y - 2*v = -54. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40073552, -80147108, -120220664, -160294220, -200367776?\nAnswer: -240441332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 11:57 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4 + 8 = 0, 4*w = -2*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4836 = -137*m + 5932 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.31 - 0.31. Is g less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/7)\/((10\/(-5))\/2). What is the nearest to 3\/5 in g, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43810 by 4.\nAnswer: 21905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.4 (c) 0 (d) 4 (e) -77.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 2630700?\nAnswer: 18414900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 0*p + 18 = -2*t, 5*t = -4*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3 + 19263*f*g**3 + 3*g**3 + 15*g**2 - 58*g with respect to f.\nAnswer: 6*f**2 + 19263*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 30582.\nAnswer: 336402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -12) + (-2 - -1) + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68665181 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Let w(l) = 1365*l**2 - l. Calculate w(u(y)).\nAnswer: 5460*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.7 + 16. Let o = -0.1 + 0.1. Put o, -1, i in descending order.\nAnswer: i, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*2)\/(5*(sqrt(45) + sqrt(5))) - (3*((-1*sqrt(931) - sqrt(931)) + sqrt(931)) + -1)**2.\nAnswer: -8380 - 419*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 180582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 - m**4 - 2*m + 4*m + (-4 + 7 + 1)*(-14*m**3 - 52*m**3 + 7*m**3)*(4*m - 4*m - m) + (-2*m + 2*m - m)*(2 + 2*m**3 - 2) + m**2 - m**4 - m**2.\nAnswer: 232*m**4 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 7*l - 3. Let b be r(8). Suppose -73 = 4*m + d, d + 4*d + b = 0. Let o = 314\/319 + 40\/29. Find the common denominator of m and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2.2, -435492 in increasing order.\nAnswer: -435492, -5, -2.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1332 + 1335. Find the common denominator of -12*3\/((-27)\/7) and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:06 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + z**4 - z**3 + (-7*z**3 + 6*z**3 + 5*z**3)*(z + 3*z + 7*z).\nAnswer: 45*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -21. Suppose 5*t = t - h. Let d be -2 + 5 + 0\/t. Solve 4*s - 15 = -d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266628, 266630, 266632, 266634, 266636, 266638?\nAnswer: 266640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -729 + 724. What is the nearest to 1\/4 in 0.06, 2, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762370 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3 + -1 - (-3 + 3). What is the derivative of 4*x**3 - 13*x**3 - 2*x**3 + 195 - 3*x + g*x**3 - x**3 wrt x?\nAnswer: -30*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 4*b**2 - 9\/4*b**4 + 0*b + 0*b**3 - 2. What is the second derivative of h(z) wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**7\/840 - y**6\/120 + y**5\/24 + y**4\/4 - y**3 + 3*y. Let d(v) be the second derivative of z(v). Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 8. Let a be r*7\/(14\/12). Find the common denominator of a\/(-8) + (-46)\/(-8) and -77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - 3*k - 3. Suppose -13 = a - 15. Let y be j(a). Suppose -6*l + 17400 = -y*l. What is l rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 40, -0.1, 1 in decreasing order.\nAnswer: 40, 1, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 4*z - 20 = -0*z. Which is the third biggest value? (a) j (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004196 rounded to four decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 11*j**2 + 33*j - 73. Determine g(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064.81 millennia in centuries?\nAnswer: 30648.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-9) + -51*2\/6 + 12.\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = -3*f - 8*l + 5*l, 4*f - 2*l = 2688. What is the highest common factor of 140 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*s - 24. Let k be (3 - s)*(-1)\/2. Suppose m + m - 12 = k. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.013 - -19.987. Let n = -21.1 + c. Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 3, 10, 33, 78?\n\"Answer: w**3 - w**2 - 7*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225 - -216. Suppose 3*d - 150 = o. Let x = d + -91. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63 + 5\/(10\/(-6)). What is the greatest common divisor of g and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 488 and 8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-3*x + 2*x + 2*x)*((-3 + x + 3)*(-132*x - 5*x + 8*x) + 4*x**2 - x**2 - x**2).\nAnswer: 127*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -55*y - 26. Let j(t) = 26*t + 12. Let v(n) = 6*h(n) + 13*j(n). Suppose -12 = 4*i + 4. Let d(x) = -4*x. Give i*v(g) - 10*d(g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.5 (c) 2 (d) 44 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9920812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -2\/55, 3, 475, 24?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*i - 489*i - 298*i - 501*i to c + y*i and give y.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 275\/(-5)*2\/(-5). What is the greatest common divisor of n and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 682 and 6014.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -18. Suppose 7*c - 13 = x*c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 49*l + 97. Let o(y) = 11*y**2 - y - 1. What is the remainder when o(3) is divided by j(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - i**4 + 2*i**4 + (-5*i + 5*i - 3*i)*(-2*i**3 + 4*i**3 + 0*i**3) - 2*i**4 + 3*i**4 + 0*i**4 - i**4 + 0*i**4 + 0*i**4 - 85*i**4 - 4*i**4 - 108*i**4.\nAnswer: -201*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218 - -326. Suppose -x = -3*l - 12. Solve 6*p + 33 = p - 2*i, -3*i - l = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 9*n**2 + 9*n - 2. Let u be r(-10). Suppose 26*b - u = 22*b. Find the second derivative of 0*j**2 + 3*j + 2*j**2 + 3*j**b - 3*j**2 wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/18)\/(u**(-11)\/u*u))\/(u**(-3\/14)\/(u**(-2\/3)\/u)) assuming u is positive.\nAnswer: u**(598\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (90\/3825)\/(12\/(-10) - -1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/(-12)*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-172)\/24*-9*8\/6. Let y = 86 + 43. What is the greatest common factor of j and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 3 - (1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -550 + 537. Let r(c) = c**2 + 29*c + 212. Let s be r(b). Solve -s = -t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**2 - 3468320*b + 27746240 = 0.\nAnswer: 8, 693656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8560 (base 10) to base 8\nAnswer: 20560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.34? (a) -5 (b) -16 (c) -0.5 (d) -0.46 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 3:56 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -29. What is the second biggest value in -4, c, 1\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 + 10*c**2 - 12*c - 4. Let f(b) = -2*b**3 + 3*b**2 + b - 2. Let k(q) = -d(q) + f(q). What is k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**5 - 3*q**4 - 6*q**3 - 2*q**2 + 5*q. Let o(i) = -i**5 - i**4 - i**3 + i. Let v(n) = -2*j(n) + 10*o(n). Suppose v(f) = 0. Calculate f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29446928 divided by -262919\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 2 - (50 + -77).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 581 - 581.0000154. Round y to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -134818*k**2. Let t(j) = j. Calculate t(u(q)).\nAnswer: -134818*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7599*x + 16*x**2 - 3708*x - 3705*x to the form v*x + o + d*x**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**2 + 491212544*j + 15080610211434496 = 0?\nAnswer: -61401568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15675.78 litres to millilitres.\nAnswer: 15675780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**3 - 8*d**2 + 6*d - 6. Let j = 19 - 11. Suppose 0 = 2*o - 6 + 16. Let c(h) = 4*h**3 - 5*h**2 + 4*h - 4. Give j*c(w) + o*n(w).\nAnswer: 2*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.721479ug in nanograms?\nAnswer: 721.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2821.5525 months?\nAnswer: 0.235129375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -88.3. Let q = 1 - 0. Let z be -3 - q*-1*2. What is the closest to -0.2 in 0.4, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 792*i - 782*i - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 - 2199*h - 53352 = 0 for h.\nAnswer: -24, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l**5 + 10*l**5 - 14*l**5 + (0*l**3 - l**3 - l**3)*(0*l + 0*l + l**2) + 12*l**3 - 12*l**3 - 10*l**5.\nAnswer: -33*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30912 is divided by 352?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.178*0.06053.\nAnswer: 0.01077434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1065 - -1065. Let n(b) = -3*b**3 - b**2 + 2*b + 15. Let d be n(3). Put d, p, 1, 4 in descending order.\nAnswer: 4, 1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2. Let s(w) = 7*w**2 + 9*w**2 - 14*w**2. What is s(j(p))?\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 943*d + 9417. Determine c(-10).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-74 - 58) - -107?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + 1*sqrt(704) + -1 + -1*((sqrt(704) + -1)*-2 - sqrt(704))))**2*-4.\nAnswer: -45120 + 1024*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 - 2*n**3 + n**3)*(3 - 2 - 2) + (-n + 0*n - 2*n)*((4 - 2*n**2 - 4)*(2 - 3 - 1) + n - 26*n**2 - n) to l*n**2 + u*n**3 + q*n + z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*185192.\nAnswer: 18519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a century?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:43 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -135032003 (base 6) in base 13?\nAnswer: -756ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -101?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11111001001100110111 (base 2) to base 5\nAnswer: 230130402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from eiii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157110 is divided by 3019?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + 4 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 0.28. Let r = 34 + -34.3. What is the third smallest value in y, r, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 78. Let r(u) = u**3 - 4*u**2 + 30*u - 96. Let d be r(4). Give o(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 7:37 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 20*b**3\/3 - 2*b**2 - 10*b - 13. Let y be x(-5). Suppose -26 = -n + 3*h + 84, 2*h - y = -4*n. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 16) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 0, -7, 0.1, -7\/8, 0.15?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 26*b + 48365 = 0. What is b rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23341627367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 5*i + 2 - 16.\nAnswer: 5*i - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 157612*k**2.\nAnswer: 4*k**2*(k - 39403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(sqrt(684) + -4).\nAnswer: -30*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-4)*c*c*c**(4\/7)*(c*c**(-1\/11))\/c*c\/(c**(-6)\/c))\/(c**(2\/7)\/((c\/(c*(c*(c*c**(-2\/5))\/c)\/c))\/c*c)*(c\/(c*c**(1\/4)))**3) assuming c is positive.\nAnswer: c**(14391\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -10 (b) 1\/9 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 96 = 28*h. Calculate the least common multiple of 636 and h.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - 4*r)*(-r + 2*r - 7*r) + 0*r**2 + 0*r**2 - r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 - -5.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/306 and -35\/192.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 2*u + 2*u + 5*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 192 = 54*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 45*g**2 - 100*g + 2455. Give v(44).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1942701 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-231)\/28 + 8)*52. Let p(s) = -4*s - 53. Let u be p(m). Which is smaller: u or 2\/153?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 857 = 858 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 301\/4. Let j = 29 + -29.13. Let w = -0.03 - j. Which is the closest to 0.1? (a) f (b) -3\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.1 (b) 0 (c) 3740 (d) 5\/314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -359*r**3 + 2371 + 2423 + 2280 - 6195 wrt r.\nAnswer: -1077*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*d**2*z - 2*a**2*d*z - 904*a**2*d + 10*a*d**2*z - 2*a*z - 7*a + 34*d**2*z - 31*d**2 - 9*d wrt d.\nAnswer: -6*a**2*z + 20*a*z + 68*z - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uewzppq. Give prob of sequence wqze.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -26, -8, 30, 94, 190, 324?\n\"Answer: d**3 + d**2 - 6*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8257354.21 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93575 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 164729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13313023 - -1?\nAnswer: 13313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a**4 + 23*a**3 + 1779*a**2 + 16285693.\nAnswer: -56*a**3 + 69*a**2 + 3558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*z**3 - 103 + 103.\nAnswer: 230*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19*-6.8\nAnswer: 129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = s - 5965, 4*s = 2 - 14. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4860393.\nAnswer: 3, 181, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 + 3 = 0. Suppose 4*u - w*m - 4 = -0, -5*u - 4*m - 22 = 0. Let q be 1\/u*(1 + -7). Solve -3*k - 12 = 4*c, 5*c = q*k + 12 - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. Let g(x) = 2*x - 2. List the prime factors of g(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + m + 14. Let r = -2 - -2. What is the remainder when (94\/2 - -1) + 3 - -4 is divided by d(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - d**4 - 4*d**2 + 4*d + 1 - d**2 in the form a*d**2 + o*d**4 + u*d**3 + h + p*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 + 110231*k**3\/4 - 1012563594*k**2 + 12401203838544*k + 12402216429696.\nAnswer: -(k - 36744)**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 67, 160, 341, 640, 1087, 1712?\n\"Answer: 5*s**3 - s**2 + 3*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + 0 + -14 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 d when three letters picked without replacement from ppdpzzdazzipppzppp?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -19*n + 9. Let b be v(2). Let h = b - -32. Find the third derivative of 8*i**3 + 6*i**2 - 14*i**3 + 6*i**h - 16*i**5 wrt i.\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**3 - 15 + 9*p**3 - 2*p**3 + 11*p**2 in the form b + g*p**2 + v*p + n*p**3 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55 minus -104?\nAnswer: 104.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(-2 + (sqrt(1331) - -2*(sqrt(1331) + 0))**2) + 1.\nAnswer: 287449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10021 (base 4) to base 14\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -105*c + 24521. Calculate the greatest common divisor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 326, 670, 1014, 1358, 1702, 2046?\n\"Answer: 344*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1 - 1 - 5*m + 3*m. Let r(f) = f**2 - f + 2. Let l(z) = -15*z**2 + 4*z - 8. Let b(o) = -l(o) - 4*r(o). What is c(b(i))?\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6226 + -4265. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*3\/(-243)*3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**4\/11 + 54*q**3\/11 + 162*q**2\/11 + 162*q\/11 = 0 for q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 0)**2) + 0.\nAnswer: -192 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11712*u + 11921. What is j(-1)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 807706.9 hours in milliseconds?\nAnswer: 2907744840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3*(-32)\/((-1056)\/99))\/(6\/7)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 - 2*p**2 + 1. Calculate k(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**7\/210 + 61*n**6\/40 - n**5\/30 + 112*n**3 - 60*n**2 - 6*n. What is the third derivative of u(r) wrt r?\nAnswer: 24*r + 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -49*u + 23. Let l(k) = -24*k + 11. Let n(w) = 7*l(w) - 4*o(w). Is n(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902786547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -123\/396241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 617 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 4*s. What is j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452200 is divided by 1035.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33737 - 31084 = 41*z. What are the prime factors of -1*(0 - 1) + (15 - z)?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + 6*g**2 - 5*g - 41. Let w be q(-2). What is the closest to 0 in w, 1\/8, -0.4, -2\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25836 - 6877 + 8965 = 358*s for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.534816 milliseconds?\nAnswer: 8534816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385104211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 247929.8 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 18, l: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*f + 15319 - 7056 + 12066 = 0 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(390)*1)\/(-1*sqrt(1210) - sqrt(1210)))\/(1*sqrt(432)*-1 + (1*(2*sqrt(432) - sqrt(432) - sqrt(432)) - sqrt(432))).\nAnswer: -5*sqrt(13)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 44. Suppose w*x - 33*x = -100. Suppose 4*r = 3*r + 4. Solve -3*s = r*h - s - 20, -4*h = -s - x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -400*q - 13 - 53*q**2 + 11 + 55*q**2 as n + h*q + a*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342841 is divided by 832?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140410*l - 267 = 3*s - 140425*l, 178 = -s - s - 2*l for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(0 - 1). Let p = -5228 - -5223. Let g = 0.4 + 2.6. Which is the smallest value? (a) p (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - 1.3. Let i = y - -2. Let k = 943\/3 + -314. What is the third biggest value in 0, k, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1081.5 + -1081. Which is the third smallest value? (a) -2\/9 (b) -2\/3 (c) k (d) -273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:07 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 5:03 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7362 + 7366.909. Let j = 4.909003457 - g. What is j rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*2\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/380 and -17\/388.\nAnswer: 36860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 0.56. Sort -2, s, -0.4 in decreasing order.\nAnswer: s, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (-1 + 4 - 1)*(-2 + 0 + 3) - 6 - 1 + 1)*(3 + 5 + 4*s - 4).\nAnswer: -12*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1092 and ((-356)\/240)\/((-5)\/(-15))?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -123897, 11, 3 in descending order.\nAnswer: 11, 3, -123897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2759487019 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u + 166. Let j be h(-41). What is the third biggest value in j, 0.2, -0.5, 1\/441?\nAnswer: 1\/441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.107 - -2.027. Let h = 13.5 + -14. Let o = h + 0. What is the fourth biggest value in o, 3, l, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - ((-208362)\/(-13794) - (18 + 0))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)*2*6 - sqrt(432)) + sqrt(432))*-1)\/(1*sqrt(324)*4*3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 16*r + 90. Let b be u(-6). Put 0, b, -2 in decreasing order.\nAnswer: 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5437006.56 to the nearest one thousand.\nAnswer: -5437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 13*j**3)*(83*j**2 + 165*j**2 - 50*j**2).\nAnswer: -2574*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -148*g - 7. Let f(r) = -2*r - 3. Let h(p) = -c(p) + 2*f(p). Let a(i) = -2*i. What is h(a(b))?\nAnswer: -288*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/15))\/k**5)**(-24\/7) assuming k is positive.\nAnswer: k**(464\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxndddnddmfxfu. What is prob of picking 2 f and 1 d?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**4 - j**2 - 1. Let u(f) = 7*f**5 - 20*f**4 - 17*f**3 + 58*f**2 - 44*f + 4. Let c(x) = 4*a(x) - u(x). Determine g, given that c(g) = 0.\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2092121074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -219 + -4?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10551171 and 752.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 427 = -284 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 86 = -2*n, -2*n = -4*u + 3*n + 173. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, -56, -427, -1108, -2189?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(3*sqrt(162))*-4.\nAnswer: -4*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc0d (base 15) to base 2.\nAnswer: 1001101110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -0.6999944. Round c to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17. Let p be (-2 - (-12)\/5) + 56\/10. Solve g = -p*j + j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3 - 3 + (4*v - 2*v + 0*v)*(2*v - v + 3*v) - v**2 + 4*v**2 - 19*v + 0*v**2)*(-3*v**3 + 3*v**3 + v**3).\nAnswer: 10*v**5 - 19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -337, -335, -333?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57777068 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 8. Suppose -5*g - 5 = -t*k + 26, -k + 17 = -3*g. What is the least common multiple of k and (4\/(-10))\/((-2)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p*(p*p**(1\/15))\/p*p)\/((p**(6\/11)*p)\/p*p*p**8\/p) assuming p is positive.\nAnswer: p**(-2059\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 175 - 956 = 54*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-1)\/((-1)\/1). Let f(k) be the third derivative of k**6\/30 + k**5\/30 - k**4\/8 + 2*k**2. Is 17 a factor of f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2\/5 + 688*h\/5 - 59168\/5 = 0.\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5437805 is divided by 5035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-20))\/(18\/15). What is the closest to -4 in 4, -2\/17, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2 - 6. Suppose -4*u - b + 28 = 0. Suppose -22 = -u*n + 4*n + 2*g, -5*g - 10 = 0. Calculate the lowest common multiple of n and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = -4*j - 5, -2*j = -4*i + 22. Suppose -3*v + 9 = -6. Put i, v, -3 in increasing order.\nAnswer: -3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13984 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-175)\/10)\/(3*-3). Let s = 5\/9 + t. Let i = 56.3 + -56. What is the smallest value in -3, s, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let b(q) be the third derivative of -q**4\/24 - 97*q**3\/6 + 2*q**2 + 718*q + 1. Determine b(d(n)).\nAnswer: 2*n**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g - 72 = -23*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4144)\/2232 - 63\/1953.\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/22 - (-20888)\/8206.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*5\/(20\/12). Suppose -k = 5*m - 17, 4*m - f*m = 2*k - 12. Suppose v - 22 = -5*c, k*v - 3*v = 5*c - 12. Solve 0 = v*q - 3*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-17)*g**(-8) assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61268 and -0.853?\nAnswer: -52261.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -12. Let d = v - 7. Let z = d + 12. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.27 * 1896.4.\nAnswer: 4304.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**2 + 971*w + 28715. Determine b(-52).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -162, -854, -2732, -6390, -12422, -21422?\n\"Answer: -99*k**3 + k**2 - 2*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = o - 2, -3*o - 4*r + 15 = 0. Let c = -7 - 3. Let n be c\/(-4) + (-2)\/(-4). Sort 1, o, n.\nAnswer: 1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y = 58*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, l: 5, i: 2}. Give prob of sequence il.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 1. Let z be s(-3). Suppose -i + 5*i - 64 = 2*n, n - 28 = -z*i. Does 4 divide ((-5)\/i)\/((-2)\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75871 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 13*x**2 + 8*x - 13. Let d be m(13). Suppose -3*j + d = 322. Let c = j + 137. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61368948?\nAnswer: 2, 3, 568231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 34*d = 11479. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 119*x**6 + 4*x**4 - 4*x - 2. Let p(w) = 119*w**6 + 5*w**4 + w**2 - 5*w - 2. Let t(n) = -5*j(n) + 4*p(n). Find the third derivative of t(y) wrt y.\nAnswer: -14280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36296 + 36296 - 102*m)*((-4 - 2 + 4)*(-2 + 2 + 1) + 2 - 2 - 1) to d*m + s and give d.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 203361136 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.5, -4\/27 in decreasing order.\nAnswer: 2\/3, -4\/27, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-18)\/(-8)))\/((-12)\/36)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064057?\nAnswer: 557, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 17*s**2 - 7. Let j(r) = -12*r**2 + 5. Let g(i) = 5*b(i) + 7*j(i). Let p(k) = 35*k**2. Determine 25*g(x) - p(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001736298675 to six decimal places.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 9*h**2 + 7*h + 20. Determine r(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1938432 and 2304.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f**2 - 47*f**2 - 52*f**2 + 195*f**2 - 49*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**3 - 6*u**2 + 5*u + 1. Let h(q) = 9*q**3 - 9*q**2 + 8*q + 2. What is 5*h(j) - 8*k(j)?\nAnswer: -3*j**3 + 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 129*c**2 - 53*c + 90. Determine j(2).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/15))\/(n**(1\/11)\/n))**(-2\/43)\/((n**(-2)\/n)**(23\/4)\/(n**(-2)\/(n**(-3\/5)\/n*n))) assuming n is positive.\nAnswer: n**(447479\/28380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -2.83. Let s = -0.6 - h. Suppose -2*f - 6 = 2. What is the biggest value in f, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2 + 310*q - 149. What is the remainder when 842 is divided by d(51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**3 - 259*q**2 - 26. Give v(-37).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 1 + 0*u - 6*u + (-7 + 2 + 4 + (3 + 2 - 6)*(1 + 0 + 0))*(-2*u - u + 5*u).\nAnswer: -10*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79061*b*k + b + 153789*k wrt b?\nAnswer: 79061*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*n + 75, 2*q = -2*q - 20. Let s be (-5)\/(n\/(-6))*-4. Let d = 7 - 4. Is s smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4)\/(-14)*(2 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*j = 1299*j - 28254 - 54096 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpiefaeiefifnppfafpe. What is prob of picking 1 p, 1 e, and 1 n?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43085e (base 16) to base 8\nAnswer: -20604136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(11) + (0 + sqrt(11))**2 + -5).\nAnswer: -7 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75*a*l**2 - 116254*a - 101158742*l**2 wrt a?\nAnswer: -75*l**2 - 116254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 + -250. Let j = 82 + a. Let m = 7 + -11. Is j bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39215*g**3 - 51773*g**2.\nAnswer: -235290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13217?\nAnswer: 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 2 + 43*r**3 + 3.\nAnswer: 43*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14855097 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97596957 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 480751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -6*i - 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 9*h**2 + 7. Calculate the remainder when f(-8) is divided by 20*1 - (0 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426492 is divided by 60804.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**2 + 5*j**5 - 40*j**4 + 21*j**4 + 19*j**4 wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:41 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128, 119, 62, -79, -340, -757?\n\"Answer: -6*q**3 + 12*q**2 - 3*q + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14966 + 59863\/4. Put o, 1, 26 in ascending order.\nAnswer: o, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 11. Let z = -306\/233 + -79175\/1631. Let w = -50 - z. Which is the nearest to -0.3? (a) q (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7537 >= 7503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/426 and -97\/17804244.\nAnswer: 17804244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 + 15 = 0. Suppose s = j*s - 50. Solve s + 5 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 1534 = -4*k + 4*a - 1537, -k - 6*a = 13 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-4)*(-5 + -1). Let v = 84 - z. Suppose 5 = 2*b - v. Calculate the smallest common multiple of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 11. Let j(u) = -u**2 - 5*u - 7. Let y be j(-5). Let m be g(y). Solve 2*x - m*x + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (2 + 6111\/(-27)). Suppose 3*c = 3*f + r, c - 5*f = 99 - 4. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 163. Suppose z + 8 = r. Is 44 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7938 + -7852. Solve -t*j - 111 = -49*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6 + 6. Suppose 2*u = -5*t + 56, 4*u = 8*u + 4*t - 136. What is the third derivative of -883*i**x + 883*i**3 + u*i**2 + 13*i**4 wrt i?\nAnswer: 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + 1335\/(-60))\/((-10)\/(-8) - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 11:29 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29174 + 29176. Solve -20\/3 - 2*n + 2\/3*n**l = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)\/s*s\/s**2)**(-8\/13)\/(s\/((s**(-2)*s)\/s)*s*s*s**(1\/5)*(s**(1\/3))**(28\/3)) assuming s is positive.\nAnswer: s**(-4142\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a. Let d(q) = 4*q**2 - 38*q. Calculate j(d(v)).\nAnswer: 40*v**2 - 380*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8014 - -3439. Let q = 4542.924 + g. Let t = -32 - q. What is t rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 8*l - 3. Let v be x(-5). Solve s + 4*s = f + 17, 3*f = 2*s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -3*p - 5*a, -2*p - 2*a + 86 = -72. What is the remainder when p is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13346520 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115378?\nAnswer: 2, 57689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 15. Suppose 0 = -f*y + 19 + 2. Calculate the greatest common divisor of 35 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in 0.01, -3, 0.3, -2\/3, 7937?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-601*y + 11*y**2 + 1826*y - 4*y**2 - 8*y**2)*(-2*y**2 + 11*y**2 + 2*y**2) to u*y**4 + w*y**3 + x*y**2 + a*y + d and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29230000 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 + 451 + 358 = -39*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -2, 109, -4, -1\/2 in ascending order.\nAnswer: -4, -2, -1\/2, 92, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*l**3 + 14*l - 4 + l**4 + 4*l**3 to n*l**2 + h*l + z*l**3 + a*l**4 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, w: 1, p: 1, l: 2, b: 1}. What is prob of picking 1 w, 1 l, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -4.2. What is p rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 48. Let b(v) = -v. What is b(d(p))?\nAnswer: 2*p + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 54544*b**3 - 15*b**2 - 34*b - 495. Let l be q(-11). What is l rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 3*u)*(22*u**3 - 9*u**3 + 0*u**3 + (-4 - 1 - 1)*(-2*u**3 - u**3 - u**3)).\nAnswer: 74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98698.\nAnswer: 2, 61, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 13. Let g be c(-4). Suppose -d = -3*d + g*v - 25, -5*d - 2*v = -10. Solve -2*k - 4 = -2*w + 2, w - 2*k - 8 = d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-2)*(10\/24 + (-66)\/396) - 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13454468157 to the nearest one million.\nAnswer: 13454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950\/(-35) + 1764\/63.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -692 + 1947. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z = -55*z - 91 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*u**3 - 120*u**3 - 3 - 501*u**3 + 5 as n*u**2 + d*u**3 + b*u + k and give d.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/40 + 2*k**3\/3 + k**2. Let q(u) be the first derivative of d(u). Let n(c) = c**2. Calculate n(q(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 + 43*u - 62*u + 23423039*u**2 - 23423039*u**2.\nAnswer: 9*u**3 - 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -61, 225, 4.\nAnswer: -61, -5, -2, 4, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 189\/714*4\/54\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1577 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 138 = -120 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -v - 20, -4*v + 5*g = -2 + 7. Let n = 9 - 10. Let w = -3.6 - -4. Which is the closest to 0? (a) w (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 11. What is the remainder when 23 is divided by (5 - 7)\/(h\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30031 (base 4) in base 2?\nAnswer: 1100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, z: 2, f: 1, i: 1, w: 7}. What is prob of picking 1 t, 1 w, and 1 i?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25390935*f - 47*f**3 - 25390935*f.\nAnswer: -47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 0, -5 = -5*g - 3*v - 34. Let u be (-48)\/(-10) + g\/(-20). What is the tens digit of 357\/u + 30\/(-75)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 54911*k**3 + 947*k**4 - 2*k**2 + 16 - 949*k**4 + 54919*k**3 to h*k + q + x*k**4 + m*k**2 + l*k**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 3 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031196050?\nAnswer: 2, 5, 20623921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - f = 182, -4*x + 2*f - 47 = 129. Let v = x - -69. Calculate the smallest common multiple of 3 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 488169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 4025428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + f = -4, 0*d - d = 2*f - 12. Suppose -4*r = d*q - 8, -3*r - 5 + 11 = -3*q. Let u = -2 + 5. What is the nearest to q in u, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-4)\/(-6)). Let p = -750 - -717. Is (-1 - -2)*(-2 + p)*f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*x + x + 2*x)*(x + 3*x - 2*x).\nAnswer: 6*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + 2*j - 3. Suppose 0 = -3*z - 4*x - 29, -12*z + 3*x + 9 = -10*z. Determine k(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((144\/30)\/4)\/(3\/(-10)). Sort f, 0.7, 0, -2 in increasing order.\nAnswer: f, -2, 0, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 5. Suppose 8 = 4*i + 28. Let l(w) = -w**2 - 11*w - 10. Let a(g) = i*x(g) - 2*l(g). What is the units digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -19. Which is the smallest value? (a) -1 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 8*v + 3*v + 8*v - 4*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -187, -4, 0.2?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 33*z**2\/2 - 3*z - 41. Let n be m(6). Calculate the greatest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 7, n: 1, x: 6}. What is prob of picking 2 l?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -3*o**4\/2 - 16*o**3\/3 - 8. What is the third derivative of h(l) wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70416.4 times -0.3\nAnswer: -21124.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -196001670\/11 or -17818333?\nAnswer: -17818333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-28))\/((-9)\/8). Which is the nearest to 0? (a) 3 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.6 - 38.\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109.1 - 112.153. Let y = -7 + 10. Let z = y + g. What is z rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 6*v - 3*v)*((1 + 3 - 3)*(-2 - v**3 + 2) + v + 4*v**3 - v + (-12 + 9*v + 12)*(4*v - 4*v + 5*v**2)).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**3 + f**2\/2 - 718. Suppose y - 3 = -2*y. Determine q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*a = 6, 4 = -3*y + 5*a + 6. Let k = 8 - y. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 10 - 16 - 2*g**2 + 5*g**4 + g**3 + 44 + 4*g**2 to z*g + l*g**2 + n + f*g**3 + t*g**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 - -0.03. Let u = -76\/35 + 18\/7. Let z = 3 - 13\/5. Which is the nearest to z? (a) g (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k + 0 - 2\/3*k**3 + 1\/6*k**4 - k**2. Let w(q) = -2*q + 2. Give 6*d(b) + 11*w(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 52593*m**2 + 262902*m + 210312.\nAnswer: 3*(m + 1)*(m + 4)*(m + 17526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/6 - 58*d**4\/3 + 337*d**3\/3 + 1318*d**2 - 17571*d\/2 + 13068 = 0.\nAnswer: -121, -9, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 69*m**7\/70 - m**5\/15 + 1073*m**3\/6 - 2*m**2. What is the first derivative of t(h) wrt h?\nAnswer: 828*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12202 (base 3) to base 14\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 2*l + 1. Let m be (-10)\/8 - 16\/(-64). Let n be y(m). Let w(i) = -i**2 + 13*i - 8. What is the units digit of w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: Is 5278 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 385b6a2 (base 12) to base 8\nAnswer: 52171432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s - 273. Let n be d(31). Let v(c) = -85*c + 2. Let t be v(-1). What is the units digit of n\/45*-3*t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 29 = -4*a - 4*m, -3*m + 13 = a. Find the second derivative of 2*n + a*n**2 + n - 8*n wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111110110001010111011 (base 2) to base 16.\nAnswer: -5f62bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -228a (base 11) to base 6\nAnswer: -21522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 14*r + 22. Suppose g + 4*g + y - 14 = 0, 5*g - r = -3*y. Solve -s + 5*c = 20, -s + g*s - 25 = -4*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2809*i**4 + 17112*i**2 + 144286999*i wrt i.\nAnswer: 33708*i**2 + 34224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/59014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12)*2*-4).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*c = 2, -4*p = -p - 5*c + 7. Let u(r) be the first derivative of -13 - 1\/3*r**3 - 4*r + 7\/2*r**2. Calculate u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3785 - 3784.22. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 51194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260896 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(1216)*-2)**2*-3 + sqrt(1216) + ((sqrt(1216) + 1 + 5)**2 - sqrt(1216)) + 3).\nAnswer: -96*sqrt(19) + 13340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34506259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 1, n: 4, v: 2, t: 4, k: 7}. What is prob of sequence vknd?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145.278 + 145.238. Let b be 14\/(-12) + (-2)\/(-4). What is the closest to 1\/3 in k, b, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j*j**(-7)*j**(3\/4)\/j*j**(-1\/5) assuming j is positive.\nAnswer: j**(-229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 52*u + 183\/4*u**4 + 232 + 0*u**2 + 0*u**3. Differentiate f(d) with respect to d.\nAnswer: 549*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -u - 137157, -58646 = -2*h + 5*u + 9955. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1006 + 629. Let j = -372 - k. Solve 5*x + 3*p - 13 = 0, -3*x - 2*x - j*p + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (858\/(-24) + 36)\/(1\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2585 is divided by 270?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 4. Let i be m(0). Suppose -9 = -i*z + 67. Suppose -z = -0*d - d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**2 + 3*h**2 - 5*h**2)*(5*h**2 - 5*h**2 - h**2)*(86 - 49 - 51) as p*h + v*h**4 + t*h**3 + s*h**2 + k and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -681 (base 9) to base 2\nAnswer: -1000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byh when three letters picked without replacement from {y: 5, b: 6, h: 2, i: 1, p: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000384623 to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9887.511 nanometers to millimeters.\nAnswer: 0.009887511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, 53407, 4, 1 in decreasing order.\nAnswer: 53407, 5, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 2*j + j**2 - 3 + 2 - 4. Let r be (-36)\/45*(-1 - 52\/8). What is h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1201.9532, -0.3, -17?\nAnswer: 1201.9532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25249 is divided by 3144?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13812774200 to the nearest one million.\nAnswer: 13813000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 23. Let o(k) = k - 21. Let b be 20\/10 + (0 + 2 - 0). Let p(a) = b*z(a) + 5*o(a). Determine p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 573925416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-789*m**4 - 221*m**4 + 488*m**4)*(-5 + 3 + 0) - 17 - m**4 + 17 + 5*m**3.\nAnswer: 1043*m**4 + 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/7)\/(-2*(-10)\/70). Suppose 9 = 4*g + 3*r, -4*g - 1 = -0*g + 5*r. Solve -w - 5*i - g = 0, 0*w + 5*w - 28 = x*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 1333.55, 4, -21 in descending order.\nAnswer: 1333.55, 4, -21, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*t - 22 = -4*t, b + 17 = 5*t. Suppose c + b*c = 56. Suppose 3*z - 377 - 1 = 0. Calculate the greatest common factor of c and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -5*w**3\/3 + 6*w**2 + w. Suppose 13*v + 156 = -0*v. Let q(g) = g - 1. What is v*q(d) - f(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*h + 111, l - 2*h - 111 = -2*l. What is the remainder when l is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*g - 13, 20 = -10*g + 42*k - 38*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 8639 = 49. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Suppose 5*q - 15 - 10 = 0. Let l(t) = -q + t**2 + 5. What is l(r(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185313*t**3 - 61*t**2 - 2263 wrt t.\nAnswer: 1111878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4125 is divided by 1762.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -60. Factor -10*m - 2 + 2*m**2 + 2*m**2 - 5*m**x + 18*m + 22.\nAnswer: -(m - 10)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4431.\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.43 - -21.46. Which is the fourth biggest value? (a) s (b) -1\/2 (c) 5\/3 (d) -3\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29763.3 centimeters to nanometers.\nAnswer: 297633000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1539) + (sqrt(171) - (sqrt(171) + sqrt(171)*5))\/sqrt(9) + sqrt(19))**2.\nAnswer: -50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200436 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 202300 (base 4) to base 15\nAnswer: 9d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 - 4*r + 4. Let l(i) = -4*i - 2. Let p be l(2). Calculate the lowest common multiple of 4\/(-8)*(p + -2) and d(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*k - 637 = 2803 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 16. Let c be r(4). Solve 5*w + 2*q - c = 1, -q = 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, l: 10}. Give prob of sequence zlz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 908380157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 471786747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -235100 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + 2.2. What is the nearest to 3 in 4, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:49 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/(0 - (-7)\/(-5)). Let l = 0.3 + 2.7. What is the nearest to c in l, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4\/6 + 10*j**3\/3 + 15*j**2\/2 - 40*j\/3 - 50\/3 = 0.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(19) + -1) - sqrt(114)\/(sqrt(24)\/sqrt(4))) + 3)**2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 - 4*k + 3 - 4 + 151*k**2 + 3*k. Let n be l(-1). Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.16748 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1761*t = 1759*t + 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8*4\/(-3). Let t = 75 + -74.9. Which is the nearest to t? (a) y (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*v + 79. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-5 + (-1132)\/(-226)). Let i = -109\/452 - q. Which is smaller: i or -0.12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 2 + 2. Let t be (-42)\/21*-1*1. Let j(w) = 3*w - 3*w + 4*w**2 - t*w**2. What is j(y(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a factor of 746021491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3574707 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261370 is divided by 1980?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 9 = -3*c + 5*x, -5*x - 20 = 0. Suppose 4*a + 2 = -5*h, -3*a = -6*a - c*h. Put -0.4, 2\/3, a in ascending order.\nAnswer: -0.4, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1502, -1679, -1856, -2033?\n\"Answer: -177*x - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 19, 52, 109, 196, 319, 484, 697?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 536 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2030 - 1762 = -71*s - 1307 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 5250*i - 1378125.\nAnswer: -5*(i - 525)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 33*f**2 - 162*f + 2. What is u(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1927 + 9607\/5. Find the common denominator of 59\/175 and x.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31964027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -1435.\nAnswer: -5\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 12) to base 9\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2906.382 - -2906. Which is the biggest value? (a) -0.4 (b) -0.3 (c) t (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(41 - 1909\/46)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 0, 2*j = -2*b + 11 + 23 - 4. Solve 43 = j*f + 73 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.9534 millilitres in litres?\nAnswer: 0.8639534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 316\/5931?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*8\/1008*14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178, -354, -520, -670, -798, -898, -964?\n\"Answer: c**3 - c**2 - 180*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109\/3 - 36. Let g = -6 + 9. Which is the closest to s? (a) 0.3 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + sqrt(280) + 1*sqrt(280))\/sqrt(10)*-1)\/(sqrt(512)\/sqrt(8) + (sqrt(12)\/sqrt(3) + sqrt(4) - sqrt(4))*-5)*-2.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 5103.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-84) - (-10)\/6.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 5*h**3 + 2*h**3 + (-7*h**2 - 2*h**2 + 6*h**2)*(-h + 0*h - h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -71, -462.\nAnswer: -462, -71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2858.1 - 2739.1. Which is the second biggest value? (a) 2\/7 (b) 0.3 (c) -2\/7 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/771 and 50\/33.\nAnswer: 8481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 0.5 (c) -24 (d) 5 (e) 7.803 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/567 and 29\/81.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/((-638)\/66))\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 0.655844829?\nAnswer: 0.555844829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0524 - -4.9424. Let r = 4.8900973 - n. Round r to six dps.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228993 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuupuhuuuuuuhpuphuu. Give prob of picking 3 u and 1 p.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*a**2 + 93*a**2 + 54*a**2 + 62*a**2 + 68*a**2.\nAnswer: 55*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*l - 133 - 43 = 0, 3*q = 5*l + 119. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-112)\/(-48))\/(2\/12 + 1). Suppose -50\/9 - 2\/9*l**i + 20\/9*l = 0. What is l?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*g - 6, 0 = g + d - 3*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -90029943241787.\nAnswer: -90029943241786.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405881.\nAnswer: 3, 31, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/3 + 2)*1. Suppose 6 = -2*o + 3*w, v*o + 10 = 8*w - 3*w. Suppose -3*i + 139 = -z + 5*z, o = -4*z + 5*i + 99. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 4*z - 592, 5*q - 733 = 2*z. Suppose q = 4*y - 813. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36919 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: What is 1638\/(-364)*1*(-3 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17548 + -9614. List the prime factors of v.\nAnswer: 2, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 - 131. Suppose -6 = -2*w + 5*w. Let i be (-1)\/w + q\/10. Solve -2*g = -o - i*o + 8, 0 = 5*g + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f = -202, -f + 1 + 4 = 0. Let l = -34 - o. Let i = 240 - 165. What is the highest common divisor of i and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36 and -1359.556971184?\nAnswer: 1395.556971184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (17 - 9) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -883 + 1520. Calculate the greatest common divisor of w and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let q(v) = -2*v**2 + 1827*v. What is r(q(x))?\nAnswer: -6*x**2 + 5481*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 395, -15\/4, 0?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5\/4 - 342*k**4 + 1087*k**3\/2 + 138*k**2 - 2179*k\/4 + 204 = 0. Calculate k.\nAnswer: -1, 3\/5, 1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwswws. What is prob of sequence wws?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -3505?\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 760*g + 5331. Let m be r(-7). Solve 0 = -5*n + 4*h - m, -344*n = -342*n - 5*h + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/120 - j**5\/60 + j**4\/24 - j**3\/6 + 2*j**2. Let y be q(1). What is the first derivative of -4*i - 5 - i + y*i + 0 wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from xxxoxxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*m + 0)*(-30 - 25 + 49 - 6*m)*(-m - 2*m + 2*m)*(0*m - 2*m - m).\nAnswer: 90*m**4 + 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1915*j**5 - 75*j**3*t + 2*j*t - 21*j - 50*t - 9 wrt j?\nAnswer: -38300*j**3 - 450*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -652*p + 5490. Calculate d(8).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 67051\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + 12. Suppose -3*s + 7 = j. Let w = 7 - s. Solve 3*v = v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111111111111 (base 2) in base 15?\nAnswer: c209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**6\/24 - 13*m**5\/20 - 21*m**4\/8 + 431. Factor l(c).\nAnswer: -c**3*(c + 6)*(c + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290)\/(-1218)*36\/330.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 1:04 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 702 = 5*n. Suppose -7*b = -947 - n. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330237*g*p**3 - 58*p**3 + 425 wrt g.\nAnswer: 330237*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 957.6444 - 3.6564. Let k = -957 + m. Let w = 3 + k. What is w rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let h = 5 + b. What is the remainder when 6*(-2)\/(-15)*10 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -21*w + 32*w. What are the prime factors of 465 + -1 + w\/2 + -9?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461572509?\nAnswer: 3, 153857503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*36\/(-96) - 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9331 in 0.4, -1\/21, 0.2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 44 = -25 - 43 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/540 + o**5\/90 - o**2. Find y, given that v(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150782159 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 0.3, 8, 0.2, -56\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*a - 809 = 1351. Let f = 0 + -16. Are f and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*q - 16*q**2 - 9 + 9 in the form o + i*q + c*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2\/9 + 4616476*k\/9 - 2663981332322\/9 = 0.\nAnswer: 1154119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2. Let i(k) = -7901*k. Give t(i(n)).\nAnswer: -124851602*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 22*v + 39. Suppose 0 = 5*f + 34 - 19. Let z(p) = 11*p + 19. Let q(u) = f*w(u) + 5*z(u). What is the first derivative of q(j) wrt j?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 301*p**3*r - 100*p*r**2 + 76*p - 33*r**2 - 4575*r - 270 wrt p?\nAnswer: 903*p**2*r - 100*r**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2134, -2235, -2334, -2431, -2526, -2619, -2710?\n\"Answer: d**2 - 104*d - 2031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2584, -2581, -2576, -2569, -2560, -2549?\n\"Answer: j**2 - 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.2, 0.0615, -0.484, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/11 + 401188292*s\/11 + 20119005704734658\/11 = 0. What is s?\nAnswer: -100297073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -2 - -12) + -11 + (7 + -4 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 3*w**2 - 4*w - 1. Let b be d(4). Let u be ((-4 - -1) + (-12)\/3)\/b. Solve 5*h + u*k - 9 = 3*k, 0 = -4*h + 3*k + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 31 = 5*r, -4*r + r = -5*z + 15. Find the second derivative of n**2 - 28 - z*n + n**3 + 2*n - 31*n**2 - 7*n**2 + 7*n wrt n.\nAnswer: 6*n - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:32 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i**4 - i)*(2 - 1 - 2) - 5*i**4 + 3*i**4 + i**4 - 4*i**4 + i**4 + i**4 + 2*i**4 + 0*i**4 + i**2 + 1 - 3*i**4.\nAnswer: -6*i**4 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/29864 and 151\/6192.\nAnswer: 23114736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 180 + 36. Let o be (r - (-1 - -1))\/((-21)\/(-150500)). Round o to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, z: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*j - 93 = -155*j. Let n be ((-15)\/(-6))\/((-2)\/4). Find the common denominator of j and ((-134)\/(-20))\/(6\/n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a factor of 57356064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:13 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -12 - 8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 165816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/35*(-203)\/(-58)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-4 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/49451499 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let g(p) = 8*p - 3. Let a(j) = -g(j) - k(j). Differentiate a(u) with respect to u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -17, -11, -5, 1?\n\"Answer: 6*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d*d*(((d\/(d**(2\/11)\/d)*d)\/d)\/d)\/d*d))*d**(-2\/5)*d)\/(d**1\/d)**(-9\/4))\/((d\/d**0*d*d)**(-18)\/(d*d\/d**(-1\/2)*d)**(-28)) assuming d is positive.\nAnswer: d**(-2177\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13328\/95 + -702\/5. Let i be ((-7)\/(-2))\/(-7) - 65\/(-30). What is the closest to -6 in -2, i, -0.5, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -783 in -0.3, 2\/7, 1\/5, 5, 921?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -44\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 40*v - 325. Let s be h(-7). Sort s, 1, -8, -2.\nAnswer: -8, -2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than 190\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23000211211 (base 4) in base 6?\nAnswer: -141505021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3282518 and 584.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from ujpptdt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 68. Suppose 5*f - 12 = -w, -f + 2*w - 1 = z. Is 4 - (-19)\/f*38 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 10. Let h = -3 - r. Suppose b - h*u = -0*b + 3, 5*u = b - 3. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - (-17667)\/(-12). Let w = y - -2259. Let j = w + -7042\/9. What is the common denominator of -44\/5 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65979971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572\/(-28) + -1 - ((-453)\/(-21) + -12 - 10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.568*5.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 75435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3 - 3*t + 3*t**2 - 2 - 6*t**2 + 3*t**2. Determine g so that f(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311881 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*f, 5*w + 3*f - 2 = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/4 + 510687*k\/2 - 60219294 = 0.\nAnswer: 236, 340222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4000\/16800)\/(2\/28)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1858 and 10219.\nAnswer: 20438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 152, -2, -3992?\nAnswer: -3992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*z - 15 = 0, -2*c = -c - 3*z + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(512) + (sqrt(18) + 0 - sqrt(18)) + -3)**2 + 4.\nAnswer: -96*sqrt(2) + 526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 - 3*a - 3. Let c(j) = j**2 + 1. What is 4*c(v) + z(v)?\nAnswer: -v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Let t be 4\/(-18) + (-140)\/(-63). Let c(k) = -k**3 + k**2 + 3*k - 2. Let p be c(t). Let b(i) = i - 3. Let f be b(p). What is q(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27917179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4227053 is divided by 155?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2294)\/(-9) + (-4)\/72*-2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -9 (c) 0.086 (d) 2 (e) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 789?\nAnswer: 78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113303142 - -2?\nAnswer: 113303144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 18*k**2 - 36*k + 5. Let p be u(15). Suppose p*l + 20 = 144*l. Solve 0 = 2*o + l*s - 18, 3*o - 8 = s + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9793\/15 + 654. Find the common denominator of -95\/48 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3\/3 - 28*m**2\/3 + 16*m\/3 + 16 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:26 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 3*g)*(-2*g + 4*g - g) - 57*g**2 - 28*g + 28*g + (-g + 2*g + g + 2)*(-g - 1 + 1).\nAnswer: -60*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 6*q + 3*q**4 + 2*q**2 + q**2 - 3 - 1 - q in the form f*q**2 + p*q + z*q**3 + d + r*q**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*o + 25 = 31, 3*o = 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.7885 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13252 + -13251. Let j = -35\/2 - -167\/10. Which is the nearest to 1\/4? (a) j (b) 2\/47 (c) 0.5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 55. Let q = t + 41. Let r = 15 + q. Put 2, r, 7 in increasing order.\nAnswer: r, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 2, -1\/7, 4\/5 in decreasing order.\nAnswer: 2, 4\/5, 0, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 86, 125, 164, 203?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14111925 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 1. Let k = -13 + 14. Let g be q(k). Suppose 5*d = m - 4 + 23, 0 = -4*d - 2*m + 18. Which is the second biggest value? (a) d (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863245 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 h(v) = 25*v**2 - 24*v - 198*v**3 + 199*v**3 - 15*v**2. Let j(s) = s**3 + 7*s**2 - 16*s. What is 5*h(b) - 7*j(b)?\nAnswer: -2*b**3 + b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 506 = 3*u, -u - 250 = 3*p - 58. Let f = u + 883\/5. Which is the closest to 0.5? (a) f (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5035*c**6 - 12*c**5 + 2*c**3 + 870*c**2 - 610*c wrt c?\nAnswer: 604200*c**3 - 720*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 131 = 2*a + 4*w, 4*a + 5*w - 404 = 0. Let d be (-1 - -4) + 1 - a. Let t = d - -162. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 64, 102, 160, 244, 360?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -41, -99, -181, -287?\n\"Answer: -12*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 10*p**2 - 28*p - 203. Let x be m(-4). Put -433, 1, x, 0 in increasing order.\nAnswer: -433, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m + 3. Let q(t) = 3*t**2 - 3*t - 9. Let z(y) = -2*y**2 + 3*y + 8. Let k(i) = 3*q(i) + 4*z(i). Calculate -3*k(s) + 5*u(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 782124715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -1.6. Sort -1, 0, -4\/3, d in decreasing order.\nAnswer: d, 0, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - t**4 - t**4 + (6*t**4 + 0*t**4 - 4*t**4)*(-2 + 2 - 2) + 0*t**4 + 0*t**4 - t**4 + 7*t**4 - 46*t**3 + 46*t**3.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2175776 divided by -2\nAnswer: -1087888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 9*q + 1178510 = 13*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -1. Suppose 0 = o*h - 9 + 1. Suppose -p = -5*g - 27, 5*g + 84 - 6 = h*p. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12135 - 12131. Let -4*o - 8\/5 - 18\/5*o**2 - 1\/5*o**k - 7\/5*o**3 = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22539710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g**3 - g**2 + 2. Determine n(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 287. Suppose -2*m = -3*m. Suppose m*z = -5*z. Is u(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122415739\/2712 + -90277\/2. What is the common denominator of s and -59\/144?\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 4. Let q(j) be the second derivative of -j**2\/2 + 78*j. Determine f(c) + 4*q(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 equal to 13704\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 1. Let g(d) = d + 4. Let s be g(-9). Let l(j) = j. What is s*l(c) + 2*q(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-5 - -18) + -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70 + 0 + (-3 - -3). Let z = -17 + -1. Let c(o) = -o**3 - 19*o**2 - 19*o - 8. Let w be c(z). What is the highest common divisor of w and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3452746 or 3452748?\nAnswer: 3452746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 61, -3, 0.\nAnswer: -5, -3, 0, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3549 by -1183.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235957618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18027040?\nAnswer: 2, 5, 307, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:08 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*s**2 + 3*s + 341*s**2 + 347*s**2 - 1374*s**2 + 346*s**2.\nAnswer: 7*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/20 - 13*f**4\/12 + f**2 + 12*f + 2. Let t be z(13). Let q(x) = 4*x**2 - 4*x + 3. What is q(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 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: Calculate -3868450965 - -0.6.\nAnswer: -3868450964.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71751 + 6?\nAnswer: 71757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*f - 6 = -121*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 144\/10*(-30)\/(-8). Solve -54 = 4*s - n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + z = 176. Let f = 28 + 19. Let k = z + f. What is the highest common factor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23844198 by 3406314.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 41*s + 63. Let u be n(4). Let c = u + -219. Solve 4*w + 7 = 8*h - 3*h, -h + 3*w + c = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 9*s**2 + s - 8. Let r be i(9). Let c(x) = r - 2 + 3*x - 4. What are the prime factors of c(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -16, 5591*g + 2*h = 5590*g + 3 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*x + 29, 2*u - 15 - 1 = 2*x. Suppose -24 = -u*j + 21. Let a = 19 - j. Solve -5*o + 5*y - 10 = -2*o, 4*o + a*y = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + k - k + 0*k + 2*k + 2*k + 3*k - 2*k + (-1 + 0 + 0)*(4 - 4 + k))*(2 + 5*k - 2).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**3 - 5096*v**2 - 2100736*v - 282501120 = 0.\nAnswer: -570, -352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 75, 2, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/(w\/(w**(2\/9)\/w))*(w**(-1))**(3\/17)*(w*w**(-1\/5))\/((w*w**(-5)\/w)\/w)*(w*w\/(w**(-2\/9)*w))\/w**(2\/11) assuming w is positive.\nAnswer: w**(57947\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 21. Suppose -p + 39 = -t - 4*p, -2*t - 5*p - y = 0. Let w be (-6)\/t - 66\/21. Let i(g) = 2*g - 4. Determine i(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrj. What is prob of picking 1 r and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/144 + 1380\/108 + -13.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(102)\/(sqrt(48)\/(sqrt(8) + sqrt(32)\/sqrt(4))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 7. Let m(z) = z - 2. Let l be m(6). Let s = o - l. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 239728373 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3323253143 + -12?\nAnswer: -3323253155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 - 53)*(-4*h + 2 + 7*h - 4).\nAnswer: -159*h + 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 1, m: 6, c: 4, y: 2}. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 72435.\nAnswer: 208\/72435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261 + 260.5. What is the biggest value in 1, 1\/2, -3, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 214.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261576 divided by 4.\nAnswer: 65394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264490 is divided by 316?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 7:55 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**9\/60480 - t**7\/3360 + t**6\/1440 - 5*t**4\/8 + 17*t**2. Let q(d) be the second derivative of z(d). Let q(x) = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406 a factor of 92766025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -103*q + 98*q + 101058, -2*q = 5*v - 505313. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 12 (c) 2\/9 (d) 1\/6384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/7 + 32*l**4\/7 + 4*l**3\/7 - 1056*l**2\/7 - 2178*l\/7.\nAnswer: -2*l*(l - 11)**2*(l + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:31 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12672 by -352.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + 9. Let f = i - 54.274. What is f rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1517364.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 1. Let x(m) = -10*m + 4. Let s(r) = 7*c(r) - 2*x(r). Let a be ((-5)\/2 - -2)*-6. What is s(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2592 and 65\/2592.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)\/j**7)**(12\/7))**36 assuming j is positive.\nAnswer: j**(-3168\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**3 - 2*k**2 - 6*k + 1. Let l(b) = -7*b**3 + 2*b**2 + 7*b - 1. Let y(p) = -5*l(p) - 6*u(p). Suppose 1829*n = 1820*n + 18. What is y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.04532*1.\nAnswer: -1.04532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k - 5. Let q be s(-5). Let b be (-10)\/(-8)*(4 + q). What is the units digit of 37\/b + (-2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5751)\/(-923) - (-3)\/(-13). Calculate the greatest common divisor of r and 1038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/13 or -1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-11)\/(-5))*2. Suppose 3*u = 5*z - 0*u - 10, -5*z = 4*u + 25. Is z at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjjfffjfj. Give prob of sequence jff.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241855098?\nAnswer: 2, 3, 40309183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69268391?\nAnswer: 69268391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 - -123. Solve 3 = 2*f - 5*g, 4*g = -3*f + f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*r**2*x + 40*r**2 + 11*r*x - 62977*x wrt r.\nAnswer: 20*r*x + 80*r + 11*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:56 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -20*z + 267 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(84\/8)*60. Is -40 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1705 = 2*h. Suppose 59 = 3*u + i - 173, -5*i - h = -4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/21 - -3 - (-9)\/(-21). Is 39015\/35 - ((-6)\/21 - g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 11 - (1\/(-1) + -12). Solve 6 = -5*m - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 67 - (-10 - (16 + 1 + 366 + -400)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1248796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 245142960 divided by -60\nAnswer: -4085716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**4\/12 - 3*l**2. Let o(d) be the second derivative of -d**3\/2 + d. Determine t(o(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + 5 - (-1 - -17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**3 - 17 + 17.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 2*r - 2. Let f be 2*(-3 + 45\/10). Suppose -f = -p, 0 = h + h - 2*p. Suppose 4*y + 7 = -9. Let m(d) = d**2 - d - 2. Give h*q(n) + y*m(n).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.43519 years to centuries.\nAnswer: 0.1943519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.08\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*c = -211*c - 65*c - 27456 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -6)\/(6\/88). Suppose 4*z - 5*u - h = 0, -3*u = 2*z - 0*u - 22. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8670148 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 - 178. Is -285*-3*6\/y a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1528 and 49905817?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-2\/11)*q)))**24)**(-4\/39) assuming q is positive.\nAnswer: q**(-288\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1\/(-4)*5. Suppose -3*t + 3*c - 6*c + 3 = 0, 0 = 3*t + 2*c - 4. Solve 0*w + 0 - 1\/4*w**4 - a*w**t - 1\/2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 27. Suppose -2*i - 3*k - v - 1 = 0, 0 = -3*k. Suppose 2 = 2*h - 0. Put h, 3, i in descending order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/3)*f**(1\/5)*(f\/f**(2\/3))**(-22) assuming f is positive.\nAnswer: f**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 21*c - 20*c. Let d(o) = 3*o**2 + 2*o + 1. What is d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, c: 1, r: 13, v: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110\/7 + 2963\/189. Let j = 250 - 249. Is j < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let p = -4 - w. Let b(t) = t - 2. Calculate b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*a = 2*a - 10, -2*a + 4 = 3*b. Suppose -5*l - 2*t = 16 + 6, -3*l + 3*t = 30. Let y be ((-2)\/(-327))\/(2\/l). Are b and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**(-4\/7))**(8\/15)\/((y*y**0)**17\/(y**(-7)\/y**(-4\/3))) assuming y is positive.\nAnswer: y**(-7204\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + -4.19. Let t = v - 0.8. Let n = -5.2 - t. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27282361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-50))\/((-11)\/(-110)). Let i(w) be the first derivative of -8 + 1\/5*w**4 + 0*w + 4\/5*w**2 + z*w**3. Factor i(j).\nAnswer: 4*j*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/6 - 4*k**2 - 25*k. Let h(z) = z. Suppose 4*u - 4 = -s, 3*s = 4*u + 8*s - 4. What is u*g(m) - 3*h(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1648 and 40871636?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6*j + 53 + 286 = 0, -3*j = 116*q - 71 - 83 - 130 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -16*a**3 + 35*a**2 - 7*a + 7. Let o(l) = -7*l**3 + 16*l**2 - 3*l + 3. Let c(k) = 4*b(k) - 9*o(k). Give c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3 + 3 + 0. Let s(m) = 1833*m. Let r(j) = -362*j. Let g(i) = -10*r(i) - 2*s(i). Calculate g(h(q)).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.6, 44, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 4074858?\nAnswer: 44823438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 344013. Let h(y) = 2*y**2. Give o(h(v)).\nAnswer: -4*v**2 + 344013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 - (14 - (4 - -2))) + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzw when three letters picked without replacement from wwzzwzzwzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 449851138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6502 divided by 8?\nAnswer: 3251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, 14 in increasing order.\nAnswer: 5, 14, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 454050733 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -0.5. Which is greater: l or -1\/108?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -25*p**2 + 228*p - 12. Let s(z) = 126*z**2 - 1141*z + 66. Determine -11*d(r) - 2*s(r).\nAnswer: 23*r**2 - 226*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-1785))\/(15\/(-15))*14?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/3 + 5. Let s(j) be the second derivative of 0*j**3 - 1\/6*j**4 + 0 + 0*j**2 - j. What is s(q(o))?\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111+-22723.5\nAnswer: -22612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1224*k**3 + 3063*k**3 - 1096*k**3 + 6*k**2 - 6*k**2 - 1417*k**3.\nAnswer: -674*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 12, v: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -21, -190041, 6, 2 in descending order.\nAnswer: 6, 2, 1, 0, -21, -190041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3596\/(-1218) - 18\/(-14))*-9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*r**3 - r + r - 16*r**3.\nAnswer: -309*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/5)\/((-4)\/6). Suppose h*a - 29 = -p, -p + 28 = -2*a + 4*a. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30559*p*r + 2*p - 25642*r wrt p?\nAnswer: 30559*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-131619)\/(-20) + (-7)\/(-35). Let f = -6576 + n. Find the common denominator of 61\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2 = i. Let x = -14959\/376 - 16\/47. Let k = x + 40. What is the closest to -1\/4 in 1, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -12. Suppose -4*l = p*x + 4, l + 2*l + 3 = 5*x. Solve x = -4*m + 6 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*u - 208360, -7*u + 12*u = 25. Is g\/8 + 2 + (-42)\/168 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -217. Suppose -u + p = -4*b, -3*u = -u + 3*b - 405. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*2 - (sqrt(612) + 2).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3376 and 54298740?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/16)\/(408\/9248))\/((-1)\/4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-2*p + 44*p + 92*p)*(3*p**4 - 5*p**4 - 2*p + 0*p + 2*p**3).\nAnswer: 536*p**5 - 536*p**4 + 536*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 2*j, 148*j - 30 = 144*j + 2*b. What is the remainder when 8929 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 581*i**3 + 726*i**3 - 1460*i**3 + (0*i + 0*i - 3*i)*(i - i**2 - i) in the form n*i**3 + o*i**2 + d*i + x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -2\/7 (c) -20 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 1. Suppose 5*y = 8 + 12. Let g be p(y). Sort 4, -1, g in ascending order.\nAnswer: -1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/7837479 and 101\/44226.\nAnswer: 109724706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, 4, -96, 3\/5 in increasing order.\nAnswer: -96, -2\/45, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 3*c**2 + 2*c**2 + (-15*c + 6*c - 20*c)*(-2*c + 5*c - 5*c) - 7*c**2 - 13*c**2 + 3*c**2 - 2 + 2*c**2 + 2.\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b - 45 = -68*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence car when three letters picked without replacement from fdfdddfcdafdcddddr.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkavllpvvlkvpvpl. What is prob of sequence ka?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16300\/4890*(24\/(-50))\/2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1214096 and 12149072?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1042*k - 26067. What is f(-25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 - 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 2*v + 2*v. Suppose g + v = 2*g. Calculate the remainder when g is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/24*(-138)\/368\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 8:25 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -3) + (11 + -1 - (-70 - -74)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87154 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 40 = 4*a, 5*x = -33827*a + 33828*a - 44 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -283.6 * 24.915\nAnswer: -7065.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let k be (124\/(-30))\/(12\/20). Let x = 275\/36 + k. Sort x, 0.3, v.\nAnswer: 0.3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8130 - 3808?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*b**2 - 188*b**2 + 334*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 9*s - 22. Let j be n(-4). Sort j, -1, -4, 5 in decreasing order.\nAnswer: 5, -1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 16. Let u(d) = -82*d + 1. Give u(l(r)).\nAnswer: -328*r**2 + 1313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 14*j - 364. Calculate the remainder when j is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854\/6 + -1 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4067568294\/21569 - -188584. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60598 is divided by 1346.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-1575)*40*-14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2203d + -4?\nAnswer: 22039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, -12 in decreasing order.\nAnswer: -1, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.64444328 and -1?\nAnswer: 2.64444328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 12*k - 6*k**3 - 4*k**2 - 7\/3*k**4 + 0. Factor c(m).\nAnswer: -4*(m + 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1427, 5726, 12919, 23030, 36083, 52102?\n\"Answer: 4*x**3 + 1423*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlmmmlrmmlmlm. Give prob of sequence lrl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -311013022 (base 4) in base 14?\nAnswer: -593d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - ((7 - -13) + -3)) + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7711528, 7711531, 7711534, 7711537?\n\"Answer: 3*x + 7711525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 280?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -2 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 17\/3, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5028 is divided by 825?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 82*p + 4 = 0, 2*p = 5*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1504443 (base 7) to base 5\nAnswer: -23001113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4501066414 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5454 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1596\/(-196) - 1*(-4 - (4 - 5)*-1)\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 2}. What is prob of sequence ll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -370.253242.\nAnswer: -369.453242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700597.1m to nanometers.\nAnswer: 700597100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*w + 16 - 20, 5*w - 34 = -12*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237313 is divided by 39360?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -9)\/(-2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41562020*j**5 - 17*j**2 + 5*j + 13797?\nAnswer: 2493721200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3 - 18015*t**2 + 1575*t + 264?\nAnswer: 6*t - 36030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3519, -11683, -24481, -41913, -63979, -90679, -122013?\n\"Answer: -2317*r**2 - 1213*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9868*k - 29807. What is n(3)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from yvvyvsvsvvyyfsvvvfyv?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93115 is divided by 105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477624 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v. Let s(g) = 0*g + 5*g - 2*g**2 - 5*g. What is h(s(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3 - 18956080*r**2 - 44916640076874*r - 89833204329444 = 0.\nAnswer: -4739019, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:06 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2*w**3 - 33*g**2*w**2 + 19*g**2*w - 6*g*w**3 - 2*g - 180 wrt g.\nAnswer: 6*w**3 - 66*w**2 + 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22032 - -1110?\nAnswer: 23202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/20 + 0)*14. Is 2 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = d - 2*p, 0 = -3*d - 5*p - 15 + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7513 - -51539. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 = -v - 3*n, 2*v = -2*n + 6. Suppose -v*t + 0*t - f + 22 = 0, 3*t = 2*f + 19. Suppose -23 = -2*m + t. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 + 58*o + 109. Let j(n) = -22*n**2 - 344*n - 651. Let s(x) = 6*j(x) + 34*v(x). Factor s(u).\nAnswer: 4*(u - 25)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znwx when four letters picked without replacement from {n: 1, w: 2, x: 1, c: 1, g: 1, z: 9}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3884*p + 4036*p = 7900 + 4564 for p.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*10\/5 + 24. Calculate the highest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3395*d + 6316*d + 1770*d + 13519*d to v + h*d and give h.\nAnswer: 25000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.3, -0.1, -0.646, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 11*r**2 - r - 3. Let j be k(-11). Let y(a) = -a + 4. Let f be y(-4). Are j and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1378.000098 - 1378. What is k rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45774 is divided by 256.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 11*v - 43*v)*((-v + 2*v + 2*v)*(4*v**2 + 3*v**2 - 4*v**2) + v**3 + 3*v**3 - 10*v**3) to l*v**4 + k + d*v**3 + y*v**2 + u*v and give l.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*a = 1, -6*a = -4*b - a + 35. Sort 3, -1, b in descending order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*a - 5*y + 65 = -796*a, 5*a = 6*y - 73 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from jubsbujnbnsuscsc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 443 - 440. Suppose -7*t + 3*t = o*i - 946, -1585 = -5*i - 5*t. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 6*g - 55. Calculate the lowest common multiple of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74290804*l**3 + 18973683*l**2 wrt l?\nAnswer: -445744824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6190 = -2137*u + 10027 - 867 + 16705 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/(40*19\/1520)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91249*h - 91384*h - 7695 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -7 - (-33 - (4 - 0))) + -5 + -5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g - 7488 = -245*g - 9*g. Suppose 4*d - 1104 - 2004 = 0. Calculate the remainder when d is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*n - 24, 3*n + 0 = -9. Suppose 1 + 1 = 2*o, 4*f = 5*o - g. Suppose f = w - 13 - 25. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 16*o - 7 - 2 + 0. Is f(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799836 = 593*t + 810510 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8803*t**3 - 8745*t**3 + 2*t + 17546*t**3 + 2*t.\nAnswer: -2*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3280, -15284, -36010, -65458, -103628, -150520, -206134?\n\"Answer: -4361*u**2 + 1079*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t + 5. Let x be a(-4). Let v = -8 + x. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 - b - 1. Suppose 0 = x + 3*x + 32. Let o(y) = -2*y**2 - 16*y + 2. Let q be o(x). Suppose q*a = -0 - 12. What is d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:17 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Suppose -1 = 2*u - v, 0 = 20*u - 15*u - 8*v - 14. What is the second smallest value in u, -5\/2, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**3 + 10*a**3 - 3*a**3 + (-a + 0*a - 3*a)*(-a**2 + 2 - 2).\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -241266, -482541, -723818, -965097?\n\"Answer: -d**2 - 241272*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(315\/25))\/(15\/(-2))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 26*4\/(-8). Let w = 26 + c. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = p - 6*p + 7, 3*u + 3 = 0. Let f be 10\/((-10)\/(-153)) - (1 - 3). Let l = 168 - f. Solve -5*d + p = -l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(363) + 0)*1 - -1*(1 + sqrt(363))))*4 + -3)**2.\nAnswer: 2288*sqrt(3) + 23401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3546*z - 992888. Calculate h(280).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -15*s**8\/112 - 17*s**5\/30 + 14*s**2. Find the third derivative of p(x) wrt x.\nAnswer: -2700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020102 + 2?\nAnswer: -1020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5370 + -5369. Let z(i) = 1. Let t(s) = 5*s + 5. What is f*t(n) - 2*z(n)?\nAnswer: 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 56. Which is the third biggest value? (a) -0.4 (b) 0.03 (c) y (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 - 5*x - 5. Let u(n) = 10*n**2 + 8*n + 8. Let m be 6\/14 - 59\/7. Suppose -3*j = 4*d + 7, 69*d - 66*d = 4*j + 26. Give j*u(o) + m*p(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -2081857?\nAnswer: -2081852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -86*x**3 - 3*x**2 + x - 7. Let k be y(-4). Is (-8)\/28 - k\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, h: 1, q: 1, m: 3, v: 3, s: 4}. Give prob of sequence qsuq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 962 = 226 + 117. Let i = 478 - 256. Let s = i - p. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.98 + -0.02. Let d = r - -7.5. Which is the nearest to 2? (a) 1 (b) 3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.1 - -30.1. What is the nearest to t in 4\/9, -0.2, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = -4*a + 787. Let p = -39 + 10. Let c be (-3)\/(-12)*4 - p. What is the greatest common divisor of a and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -297000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79.3 + 79. Which is the second smallest value? (a) -2 (b) 8 (c) 1\/2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 13*z**2 - 33*z - 37. Is c(-13) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 15*m + 18. What is p(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7843392 and -26.22?\nAnswer: 27.0043392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9255 + 9263. Suppose -8 = -2*w - 4*s, 5*s = 4*w - 2*w - 35. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 46. Calculate the remainder when 6 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 3. What is the remainder when ((-75)\/4)\/((-12)\/48) is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 - (7 + -4). Let c be 2\/(-3) + 64\/6. What is the units digit of -1 + c + i + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5939088674.\nAnswer: 2, 2969544337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/24)\/(9\/(-48)). Let n = -57 - -62. What is the third biggest value in n, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1128764*r**2 - 512430.\nAnswer: 2257528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 88 = -9*h. Let a = -29 - -49. Solve -h = 4*p - 5*d, -5*p = 3*d + a + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.6615ml in litres?\nAnswer: 0.8946615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, l: 2, b: 8}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*k = -6 - 52, j - 22 = -k. Let i = 4 - 14. Let t = -43\/4 - i. Which is the second biggest value? (a) 3\/2 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3, d: 1, j: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 2. Let y be z(-2). Let h be -2 - -3*3\/3. Differentiate -3 - 1 - y*q**3 - h + 6 with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (0 - 1)) + 21. Suppose 0 = 7*a - 2*a - n. Is 4 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and 0.05667?\nAnswer: 2.09679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 25810.\nAnswer: 5162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 + 4*z**2 + 4. Let a(n) = 21*n**3 + 27*n**2 + 27. Let k(g) = -g**3 - 4*g**2 + 12*g + 4. Let s be k(-6). What is s*a(v) - 27*c(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1671 + -1661.015. Let v = -10 + u. What is v rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*j + 20 = 0, 2*t - 2*j - 44 + 4 = 0. Let p be (-1 + 1)*1\/(-2) + (-13 - -14). Put p, 2, 4, t in increasing order.\nAnswer: p, 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 29*g - 88 = 0. Suppose -g*u - 29*u - 222 = 0. Let h(z) = -z**3 - 5*z**2 + 5*z + 3. What is h(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 3290*i + 541205 = 0.\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/12 + 7*c**3\/6 - 13*c**2\/2 - 2*c. Let o be r(-9). Suppose o*b - 42 = 18. Solve b - 3 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-908)\/(-4788) - (-404)\/(-12726)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c1 (base 14) in base 12?\nAnswer: -2859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p*v**3 + 10*p*v**2 - 2*p*v + 9609*p + 13*v**3 + 11*v**2 - 5*v wrt v?\nAnswer: 24*p*v + 20*p + 78*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtfx when four letters picked without replacement from xxtxxtittifixxfft?\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 804*v**2 - 6*v + 55. Let j(o) = 268*o**2 - 2*o + 19. What is 14*j(k) - 5*m(k)?\nAnswer: -268*k**2 + 2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 3*c, -v - 63*c + 60*c = -7. Suppose -k = -4*m - 21, -3*m = -v*k + m + 60. Calculate the highest common divisor of 1027 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Let g(o) = 883*o - 2. Let j(s) = -2635770*s + 5971. Let d(z) = 5971*g(z) + 2*j(z). What is d(t(w))?\nAnswer: -1706*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22454 - -22459. Let r(t) be the first derivative of 5*t**2\/2 + 2*t + 1. Give r(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 846 by 6347.\nAnswer: 846\/6347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 + 34*a + 21. Let b(v) = v**2 - 7*v - 4. Let c(q) = -11*b(q) - 2*t(q). Let n be c(8). Solve 2*x + 1 + 3 = 2*l, -4*x - n = -5*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -11. Let x = y - 88. Which is smaller: x or 17\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xex when three letters picked without replacement from xxee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/2063 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -770 + 788. Suppose -22 = 7*z - j*z. Solve -t + 5*g + 17 = 0, 6 + 10 = z*t - 4*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142829220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -929.\nAnswer: 155\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0125192 to four decimal places.\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(d**4 + 8*d**4 - 6*d**4) + 0*d**4 + d**4 - 3*d**4 + 7*d**4 + 6*d**4 + 16*d**4.\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 3*s + 2. Let d be i(4). Let z be -2 - (d - -1) - -2. Suppose 4*o = a + 11, -5 = 3*o + 4*a + 1. Is z >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 533 = 6*b. Suppose -10*z + 257 + 13 = 0. Calculate the lowest common multiple of z and b.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 - 15*o**2 - o + 0*o**2.\nAnswer: -29*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-2))\/(-5)*78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7413 - 7396. Let r(s) = 4*s**2 - 6*s - 4. Calculate the remainder when r(5) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5481.352nm to kilometers.\nAnswer: 0.000000005481352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y*y**(-2\/9)*(y*y**(-2)*y*y)\/y*(y\/(y*y\/(y*y\/(y*y*y\/((y*y*y**(-1)\/y*y*y)\/y)))*y))**(-17)*((y\/(y*y**0*y))**(-46))**(-17) assuming y is positive.\nAnswer: y**(-6707\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15\/7 - 31\/21. Let n = -1858 + 1858.5. What is the third smallest value in -0.16, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 21, -5, 25 in decreasing order.\nAnswer: 25, 21, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/2 + (-6)\/4. Let m be 21\/(-7) - x\/(-2). Sort -3, -4, m.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 645.9 + -642.9. Which is the third biggest value? (a) 8 (b) -1 (c) 0.3 (d) t (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -5 in increasing order.\nAnswer: -32, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -41. Sort 0, -4, c.\nAnswer: -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*s - 4*j - 30, 5*s - 62 = -2*j. Let i = -18 - -26. What is the remainder when s is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16954 and -4.\nAnswer: -16958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from kxxxxxxxxkkkkkkx?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(9\/8)*630\/21. Let h = l + -175. Let m = h - -58. What is the fourth smallest value in -3, -2, m, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 8*l + 6. Let k be u(-6). Let n(h) = h + 10. Let m be n(k). What is the second biggest value in 0.5, -4, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-3) + -1 + 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 16*x**2 - 159*x**2 - 1 - 416*x**2 to m + w*x**2 + k*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618094?\nAnswer: 2, 199, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33629437, 33629435, 33629433?\n\"Answer: -2*s + 33629439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fht when three letters picked without replacement from tffhftffttffff?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((2 + sqrt(325) + sqrt(325))*-1 - -3*(sqrt(325) + 0)))**2.\nAnswer: 10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 716*n**2. Let q(a) = -93*a. Give h(q(g)).\nAnswer: 6192684*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/42)\/((-9)\/(-126)). Let s(b) = -5*b**2 - b + 6 - 1 - 8 + 5 + o*b**2. Let i be 2\/(-1)*(2 + -1). What is s(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37202*h**2 - 38080*h**2 + 72929*h**2.\nAnswer: -2353*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58938505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 401604 divided by 200802?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 214651 + 6*i**2 + 4*i + 3*i**2 + 214651.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -115, -181, -253, -331?\n\"Answer: -3*z**2 - 51*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 721160 and 500.\nAnswer: 18029000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339 + -263. Suppose -26746 = -5*s + 3*o, p*o - 81*o + 21419 = 4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3983 is divided by 120?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 5. Calculate q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13213 - -5?\nAnswer: -1320b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28349 or 0?\nAnswer: -28349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.894 times -4\nAnswer: 3.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.5218 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 37*f**3 + 9*f - 9. Let q(m) = -m + 1. What is 2*g(l) + 18*q(l)?\nAnswer: 74*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -69*t. Let z(y) = 2*y - 5. Give z(b(f)).\nAnswer: -138*f - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, j: 4, y: 3}. Give prob of picking 1 y and 1 n.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 36, 37, 38?\n\"Answer: q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160699511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5215771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -6.\nAnswer: -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znydyhh. What is prob of picking 1 h, 1 z, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5 = -x, -23*b + 4*x = -28*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.27 + -0.27. Let d = 7.9 - r. Which is the nearest to 1\/5? (a) d (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2525 - 7672\/3. Let i = b - -32. Let l = 0.57 + -3.57. What is the third biggest value in -1, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 385.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 54 = -2*p. Put -0.5, 5, p, 0 in increasing order.\nAnswer: p, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12592.056 hours to days.\nAnswer: 524.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from aalaawaaahahwaaa.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 24*z + 24. Let o(s) = 7*s**2. Let u be o(1). Suppose y - v + 2 = u, 3*v = 2*y - 11. What is the lowest common multiple of i(-1) and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -2*w + 0 + 1\/6*w**3 + 0*w**2. Let n(x) = 2*x - 2*x - 2*x**2. Calculate z(n(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*v - 222 = 0, -l + 24 - 66 = -3*v. Let y be 7 - (-535)\/(-75) - 468456\/l. Round y to the nearest one hundred.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 1. Let v(k) = -4*k - 2. Let h(i) = -3*v(i) - 5*x(i). Suppose 4*y + 3 + 9 = 0. What is h(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -9. Let a(s) = -s + 6. Let c be a(5). Let t be 10\/(-4)*(c + 1). What is the third biggest value in m, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 221*w - 230*w + 432. Solve -21*d + 29*d = -w for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -59. Let w(f) = 4*f - 20. Let q be w(c). Solve 2*i = -2*p - q, 0 = 4*p + 3*i + 10 - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 69*h + 42*h - 90 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/63 and -49\/75.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29*h**2 + 2*h - 2. List the prime factors of p(4).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1.8, -5, 17\/3, -0.3 in increasing order.\nAnswer: -5, -3, -1.8, -0.3, 0, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 5*o = 1, 3*o = -2*i + 11. Let l = -4 + i. Suppose l + 1\/2*p**5 - 1\/2*p**2 - 1\/2*p**3 + 0*p + 1\/2*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/43 (b) -142505 (c) -1\/9 (d) -3 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4198854*t**3 - 7*t**2 + 2478*t + 4359 wrt t.\nAnswer: -25193124*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + f - 9 = -3*y, 5*y - 9 = -2*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 104\/(-39). Suppose -6*b + 5*k = -5*b - 66, -2*k + 113 = l*b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q = 0. Let x(o) = -o**2 + o + 16. Let d be x(q). Suppose -2 - d = -r. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 3, -2, 4.\nAnswer: -2, 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10313 (base 10) in base 8?\nAnswer: 24111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*a - 128 = 0, i - 5*a - 4 = 6. Let w be (2\/4)\/(6\/12272). Let z = w + -33586\/33. Calculate the common denominator of z and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*h + 20 = 569*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1026553*v - 5132779. Calculate t(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/23))\/f*f)\/f**16 assuming f is positive.\nAnswer: f**(-342\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83*-1419.53.\nAnswer: -117820.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:49 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 32*w**2 + 66*w - 63. Give f(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 429 (c) -1\/3 (d) -4 (e) -0.4 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/65747 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1190 and -27\/220325.\nAnswer: 7491050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 4283.\nAnswer: 17\/4283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14105\/465)\/((-2)\/(180\/(-70)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20203012 (base 4) in base 2?\nAnswer: -1000100011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3678.8.\nAnswer: -18394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -246386 (base 12) to base 3\nAnswer: -1010001101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*g + 2*f, 0 = 4*g - f + 548 - 561 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**2 - 17*j**2 - 13*j**2 - 13*j**2 + 72*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4618 + 2542. Is n <= -2076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3403.8 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -13*g**4\/24 + g**3\/3 - g**2. Let y be v(-1). Let q = y - -5. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(-4 + 2 + 0)*(3 + 0 - 2)*(45*v + 139*v + 6*v - 24*v).\nAnswer: -1660*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5062, 9910, 14302, 18010, 20806, 22462?\n\"Answer: -38*h**3 + 5114*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (134\/(-6))\/((-2)\/(-6)). Let n = q + 68. Suppose 5*h - 23 - 9 = u, n*h - 13 = 5*u. Calculate the greatest common divisor of 28 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 - -24041?\nAnswer: 23664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, s: 3}. What is prob of sequence ssqs?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 1\/5 (c) 0.8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 2*o + 0*o + (0 - 2 + 1)*(0 + 0 + o) + 2*o - 3 + 3 - 4*o + 4*o + o + (-2 + 0 - 1 + (-1 + 1 + 1)*(3 - 3 + 1))*(5*o + o - 3*o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564401334 rounded to the nearest one hundred thousand?\nAnswer: 4564400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 22*h**2 - 9*h. Let k(j) = -j**2. What is c(k(l))?\nAnswer: 22*l**4 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114265 (base 8) to base 6\nAnswer: -500553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2064*a - 14384 = -1157*a - 25198 - 16396 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (7 + (-6 - -14) - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14977*f - 29934. Determine c(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18837, 18430, 18023?\n\"Answer: -407*n + 19244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, w: 1, a: 2, y: 6}. What is prob of sequence qw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 20.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 3:59 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216074 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*k + 451 + 2047 = -94 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*r + 10. Suppose -2*t + 0*t = -2*a + r, 5*t + 12 = 4*a. Let f = 4 - a. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1072 + -3?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 752046 - 15162046. Round n to the nearest one hundred thousand.\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-7) + 3)*-9 - -4. Let y = v + -29\/21. What is the second smallest value in 0.17, y, -4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (356*t - 3426*t + 865*t - 5003*t)*(0 + t + 0).\nAnswer: -7208*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4)*4)\/(2*sqrt(567)) + -5*(sqrt(3) + (4*sqrt(300))**2) + 4.\nAnswer: -23996 - 43*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6 = -66*a + 70*a, -5*a + 30 = 5*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2711643.41 rounded to the nearest 1000?\nAnswer: -2712000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -466 and -66837.\nAnswer: 31146042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x = -180*x - 74*x - 11514 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 13*k + 6*k + 2 + 0*k + 14*k + 8*k + 1 - 2*k - 1 + 4*k + 3*k - 5*k + (-2 - 2 + 3)*(3*k - k - 3*k) - 3 + 3 - 2*k to b*k + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*a - 60*a - 64*a - 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, and 1 s when three letters picked without replacement from {w: 1, l: 2, z: 1, a: 1, s: 1, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1233 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585?\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/147294 and 25\/220941.\nAnswer: 441882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*o - 20, -o + r - 2*r - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -589 - -907. Let a = y - 219. Suppose 0 = 2*z + 3*i - a, 20 = 6*i - 2*i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 7*w**2 - w + 10. Let z = 68 + -61. Calculate t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282191 is divided by 281853?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:29 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-11 + 20) + -26?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = 160*z - 4273 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170, 734, 1666, 2960, 4610, 6610, 8954, 11636?\n\"Answer: -k**3 + 190*k**2 + k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 5*t - 26, -2*t = -4. Suppose 5*j + w = -1. Let s = -1 + j. What is the nearest to 2 in s, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*o = 7*q - 306*o + 10, -4*o - 10 = -30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v + 5*k = -102*v + 190453, 0 = 5*k + 30. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065 = 2*s + 3*g, -1336 = -5*s - 5*g + 1334. What are the prime factors of s?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267723799.\nAnswer: 3, 11, 2082391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 + m - 6. Suppose 3*t = -3*y + 9, 2*t = -4*y - 3*t + 15. What is x(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**5 + 2*t**4 + 694*t**3 - 30*t**2 + 7406.\nAnswer: 180*t**2 + 48*t + 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 668 times 37492\nAnswer: 25044656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144*w = -1146*w - 3*m - 24, 0 = -5*w - m - 60 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from {x: 3, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 1. Let d(a) = -200*a + 4. Let s(k) = d(k) - 2*l(k). Let i(v) = -2*v. Give s(i(j)).\nAnswer: 384*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (12 - (2 - 5) - (-35 - -39))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -59. Suppose 4*g = 6 + b. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 716*x**4 - x - 1001 wrt x?\nAnswer: 2864*x**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1615 or 936?\nAnswer: 1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - (13 - (3 - -6)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0 - 2. Suppose -3*u + 3 = -0*y - 2*y, -s*u = y - 2. Find the first derivative of 0 - 3*q**2 + 3*q**2 - u + 3*q**4 wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 931*c - 1200600.\nAnswer: (c - 725)*(c + 1656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:05 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -56*c**2 + 0 - 1\/20*c**5 - 5\/2*c**3 + c - 3\/4*c**4. Find m such that f(m) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 + 10*g + 10. Let k be v(-8). Let m be (k\/4)\/(27\/(-36)). Solve 0 = -4*x + 3*l + 17, -10 = -x + m*x + 4*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (sqrt(171) + 2)**2 - sqrt(171)).\nAnswer: 9*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725 (base 9) to base 15.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 4 = -3*h - 4*f, f = -h + 4. Let q = 2 - 1.5. Let p = -2.2 - -2. Which is the nearest to -1? (a) p (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004295714164 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 5*o**2 + 2*o**2. Let b(x) be the first derivative of -x**6\/120 - 16*x**3 + 9. Let l(d) be the third derivative of b(d). Calculate l(c(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605 take away 0.4748?\nAnswer: 1604.5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5733 divided by -4.\nAnswer: 5733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14592762361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.46 - 2.4. Let y be 2\/4 - (-80)\/(-32). Which is the third smallest value? (a) y (b) 0.2 (c) -0.5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 9:29 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:02 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1035 minus -2671555.9133?\nAnswer: 2671555.8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/3)*(r*(r\/(r*r*r**(3\/5)))\/r*r)\/r*(r**0)**(13\/5) assuming r is positive.\nAnswer: r**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 37*p + 36. Let c be l(36). Solve -k = -c*n + 2*n + 15, 0 = n + k + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 32, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0 + 27\/6)\/((-18)\/(-30))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 23*i - 128. Let b be w(-5). Sort -2, b, -5 in decreasing order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 28*z - 122. Let j(s) = 10*s - 41. Let f(h) = 11*j(h) - 4*v(h). Let u be f(18). Which is smaller: u or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1459 - -1475. Let w = 27 - -3. Calculate the remainder when w is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158119 - -158118.91. Suppose -3*n = n. Which is the second biggest value? (a) n (b) h (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-26)\/65)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 38\/5*t**3 + 28\/5*t**4 + 8\/5*t**2 + 8\/5*t - 6\/5*t**5 = 0. Calculate t.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 + 84 + 87 = 25*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94\/6 + 161\/(-21) + 8. Let n = -157 + 237. What is the greatest common factor of j and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10d8e65 + -2?\nAnswer: 10d8e63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.87 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*c + 140*c + 2216 = 0. Suppose 4*t + c = 5*g, 157 = g - 4*t + 59. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100772 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -89. Let g(j) = j**3 + 7*j**2 + 10*j + 1. Calculate the remainder when q is divided by g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)**(-1\/64) assuming d is positive.\nAnswer: d**(7\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t**3 - 6*t + 18. Let n(y) = y - 1. Let m(q) = c(q) + 6*n(q). What is the first derivative of m(b) wrt b?\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5670314.\nAnswer: 2, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 - 5*d - 1. Let c be h(6). Let y be (-3)\/((-6)\/8) - c. Let j be (-3)\/y - 57\/12. Is j <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 19, 25, 35?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10000101010000110 (base 2) to base 9\nAnswer: -113531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 78 + 2 = 0. Let d(o) = 436*o + 136. Let h be d(c). What is h rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2201, -16966, -57041, -135080, -263737, -455666, -723521?\n\"Answer: -2109*y**3 - y**2 + y - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-112) - (-60454)\/7. Let c = b + -6027. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2338581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5485215?\nAnswer: 3, 5, 503, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0 - 3\/2*h**2 + 6*h - 1\/2*h**3. Differentiate a(q) with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + 3 + 0 + (2*sqrt(5)*-1 - sqrt(5) - (sqrt(80) + -2*sqrt(80))).\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3848 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v = 12*v + 78 + 322. Sort -141, 0, v.\nAnswer: -141, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 36 = 0. Let o be (-6)\/r + 17\/12. Which is the third biggest value? (a) 1\/4 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3264417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 7?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*o - 5 - 7 = 0, -2*a = -3*o + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 - 12671239*p**2 - 76027461*p - 114041205 = 0. What is p?\nAnswer: -3, 12671245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18401 divided by -1241.\nAnswer: 18401\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2988 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -185, -231, -263, -275, -261?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19775*f + 19712*f - 38587*f.\nAnswer: 900*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*b + b + 5*b)*(-8794 + 8794 - 69*b**2) to s*b**3 + t*b**2 + z + x*b and give s.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-8 + (10 - ((-6 - -6) + 3)) + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9763 - -9758. Which is the third smallest value? (a) 2.4 (b) g (c) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 173. Let v(h) = h + 2. Calculate -c(i) - 6*v(i).\nAnswer: -2*i + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-5))\/(4\/20*2). Suppose -g = -11*m + 113. Calculate the highest common factor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.7048737+14\nAnswer: 55.7048737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - u + 2. Let j be m(3). Let k = j - -13. Suppose 3*a - k*x = -15, 5*a - x - 10 = -3*x. Solve 5*c = -a*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 0*i - 35. Solve 3*v + i = -4*g, 0 = 16*g - 17*g + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1865.45 + -2007. Round c to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 56\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 18*t**2 + 21*t - 28. Let i(a) = a**3 - 3*a**2 - 7*a + 4. Let b be i(5). What is the smallest common multiple of 76 and c(b)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.549913 and -2.\nAnswer: -3.099826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 470, 466, 460, 452?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60651375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14*24)\/(14202\/22092)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = o - 4*w, -2*o + 69 = -0*o - w. Let g = o + -25. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3201 and 2910?\nAnswer: 32010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7130884ml to litres.\nAnswer: 0.0007130884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -256a43 (base 14) to base 11\nAnswer: -7a9393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4336 - -0.8336. Which is the fourth smallest value? (a) 7 (b) -1\/5 (c) k (d) 2\/7 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/45 and -43\/1720600.\nAnswer: 15485400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865*k + 2041*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**7\/140 - 4*o**6\/5 + 407*o**5\/20 + 420*o**4 + 11025*o**3\/4 - 282*o**2 + 1. Let v(s) = 0. What is s?\nAnswer: -3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-220))\/6*-5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.18043\nAnswer: -0.018043","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Which is the third biggest value? (a) -2\/949 (b) 0.9 (c) 1384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34696\/19 - 1826. Put -99, p, -2\/11, 3 in ascending order.\nAnswer: -99, -2\/11, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 + 2*u - 1. Let h(j) = 2*j**3 + 7*j**2 + 3*j - 2. Let t(d) = -2*h(d) + 3*w(d). What is the units digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.5. What is the closest to -2\/5 in 5, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*c - 2)*(1 - 1 + 2*c)*(2 - 5 + 2 + (0 + 3 - 5)*(-5 + 1 + 2)) to the form m + z*c + y*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:33 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - c02?\nAnswer: -bf1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 151262?\nAnswer: 151331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2400 and 247875.\nAnswer: 7932000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 9, a: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r = 5*z + 7*r - 181, -501 + 489 = -3*z + 2*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-12 - (-12 - -9)) - (0 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*w + 815. Let d be (28 + -29)\/(2\/(-20)) - 5. Suppose w = d*m - 63. What is the remainder when m is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Suppose -2*b = y*b - 8. Sort b, 3, -1 in ascending order.\nAnswer: -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 441*z - 222*z - 219*z - 24*z**2 - 9 to n*z + h*z**2 + w and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 greater than or equal to -261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*m + 5*g + 29, -5*m + 2*g = -32. Suppose -3*q + m = -3. Let x(p) = -p - 3. Let i be x(0). Which is the closest to i? (a) 4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 217*b - 214*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*m = 82*m + 3434 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3563.2 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:04 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -5 (c) 1\/10 (d) -2 (e) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434459 divided by -1.\nAnswer: -434459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Let q = 1715 - 1712. Solve -2*j - y*j - q*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**2 + 1\/2*x**4 - 18 + 0*x + 5\/3*x**3. Let t(k) = 3*k**3 + 9*k**2 - 4*k. Give -3*t(m) + 5*u(m).\nAnswer: m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**4 - 4*y**3 - 3*y**2 + 3*y. Let d(p) = 7*p**4 + 15*p**3 + 11*p**2 - 11*p. Let f(x) = -6*d(x) - 22*w(x). Factor f(i).\nAnswer: 2*i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 958 divide 408213380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10019\/(-516) + (-4)\/(-6) and 6\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (sqrt(612) + -2 + sqrt(612) - sqrt(612)).\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 180.99*-708\nAnswer: -128140.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - -26644. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*w + 11*w. Suppose w = p - 139 - 27. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 47598*w + 38703816.\nAnswer: 2*(w + 843)*(w + 22956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10588 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1278 and 2023642?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4 + 7*s + 9 - 23. Does 14 divide p(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {q: 9, w: 11}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92881850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**6)\/n*n*n**(-7\/9))\/((n*((n\/n**(-2\/113))\/n)\/n)\/(n*n**(-26)*n)) assuming n is positive.\nAnswer: n**(-29285\/1017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 14*l**2 - 2*l + 1. Let s = 918 - 916. Calculate c(s).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736641 greater than or equal to 736641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let m(z) = 16*z**2 + 16*z + 12. Let v be (-91)\/78 + (-33)\/18 + 2. Let b(d) = v*m(d) + 12*g(d). Solve b(o) = 0 for o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-30))\/(6\/20). Suppose i = 2*g, -4*q + g + 138 = 2*g. Let w = 3 + 6. Calculate the remainder when q is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 + 124238*b + 124238*b - 248476*b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/2)*j**9)**(-12\/11))**(-1\/70))**46 assuming j is positive.\nAnswer: j**(2622\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-3)\/(-3) - 4). What is the second derivative of -3*d**2 + 3*d + n*d**2 - 4*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 117*g + 159*g - 12.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*sqrt(288))**2 + 1 - ((sqrt(288) + (1*sqrt(288) + sqrt(288))*5)*-5)**2) + 0.\nAnswer: -806399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304\/(-665) - (-2)\/(-14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a year in months?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -67, 56, -5, 1, 6 in descending order.\nAnswer: 56, 6, 2, 1, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v - 2*q + 28, -80*v + 20 = -75*v + 5*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3712016 and -43\/22.\nAnswer: 3712016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x + 23. Let w(o) = 9*o + 45. Give -7*a(u) + 4*w(u).\nAnswer: u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 - -168.0558. Let n = -4.0558 + f. Put n, -2, 0.2, -5 in descending order.\nAnswer: 0.2, -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35467464, 35467478, 35467500, 35467530?\n\"Answer: 4*l**2 + 2*l + 35467458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -677*o + 845*o + 3164*o as b + h*o and give h.\nAnswer: 3332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - 27. Suppose -5*k + 2*d + 48 = 0, -2*k + 24 + 0 = -2*d. Let z be (a\/(-10))\/(2\/k). Calculate the greatest common divisor of 28 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**3\/6 + 59*p**2\/2 - 10824*p. What is k(4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 966, 928, 888, 846, 802?\n\"Answer: -g**2 - 35*g + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 2*j + 2. Let w(s) = -2*s**3 - 2*s**2 + 2*s + 4. Let t be w(-2). Suppose -15*v = -7*v - t. Let h = 1 + v. What is a(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*f + 20 = 0, -1515*f + 1519*f - 30 = 5*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 7*j**3 - 3*j**3)*((4*j + j - 6*j)*(1 + 0 + 0) + (-1 + 1 + 1)*(8 + 1 - 4)*(-11 + 8*j + 11)).\nAnswer: -390*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)*865\/25*5. Factor 3*f**3 - l*f + 173*f + 32*f**2 - 5*f**3.\nAnswer: -2*f**2*(f - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 25*k**2 + 14 + 10 + 41*k**2.\nAnswer: 66*k**2 - k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 34. Let f(x) = x - 32. Let q be f(o). Let z = q + 88. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24937 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8*m. Let t = -89 + 96. Determine y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 79 + 67 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Suppose -d + 69 = -5*o, -2*d = -0*d + j*o - 162. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1\/8, -0.8, 1\/2, 3\/8 in increasing order.\nAnswer: -0.8, -1\/8, 1\/8, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809 is divided by 151.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 737*1*(-6 - -1). Suppose -2*k + 1870 = -3160. Let h = k + s. What is h rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81348257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and -107\/204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26a3 - 10?\nAnswer: -26b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y + 9, -3*y - 4221 = 4*o. Let c = o - -18949\/18. Calculate the common denominator of c and -1\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/11)*b)\/b)**(-2\/43)\/(b**(-10)*b**12))**(4\/11) assuming b is positive.\nAnswer: b**(-3800\/5203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/88*18\/27*-21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-5 - 14) - -16\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -1208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 261127669057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Let n = -84 - -87. Suppose n*x + 9 = r*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.30893755 to 3 decimal places.\nAnswer: 39.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/3564 and -2\/5049.\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -213, 3, 0 in decreasing order.\nAnswer: 15, 5, 3, 0, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a year?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from ycyyyyyc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.3 in -7, 9, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -629, -836, -965?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 15*n + 13 + 10*n + n. Give j(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 3 (b) -2 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*d + 73, 3*d - 73 = -z + 6. Suppose 27 = 3*n - 2*c, n - 3*c = -2*n + d. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 43. Let s = -2 + 4. Solve -2*r - 1 = o, 3*o + 2 = s*r - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 4260020?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + -21.35. Let h = v + 15. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63526 (base 11) in base 2?\nAnswer: 10110100100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/31992 and 17\/31908.\nAnswer: 85066728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58358?\nAnswer: 2, 29179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/610 and -59\/24.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -30. Let j be (-24)\/40*(-1 + k). Suppose 2*v = -5*c + 7*v + 75, -j*c + 55 = 2*v. What is the remainder when 50 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5 + 129088*j**4 - 4166960444*j**3 + 66637808384*j**2 + 16667841792*j - 266553298944 = 0?\nAnswer: -2, 2, 16, 64536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1991264 and 68?\nAnswer: 33851488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f = -12. Suppose -119 - 37 = -f*y. Suppose -y + 15 = -w. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18909964687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/4))**(-2\/63)\/(r**11)**(-5))**(-18\/5) assuming r is positive.\nAnswer: r**(-1385\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 78*j - 6157. What is i(79)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 9*j - 8, -3*p - 17 = -5*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 3*d**3 + 0*d**3 + (-2*d**2 + 3*d**2 - 9*d**2)*(273*d - 225*d + 219*d + 348*d) to the form y*d + j*d**3 + l + m*d**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*t + t + 20, -2 = 2*t. Solve 3*f + 1 = -d*r - 6, -3*f = 3*r + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 + 4*y**3 - 314*y**2 - 316*y + 624 = 0. Calculate y.\nAnswer: -13, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**4\/4 - 11*t**3\/3 - 9*t**2\/2 + 2*t + 42. Calculate f(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**6\/40 - p**4\/24 + p**2 + 3*p. Let t(q) be the first derivative of j(q). What is the second derivative of t(v) wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 669975.8mm?\nAnswer: 66997.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = 3*f. Let b be (-88)\/(-2)*f*2\/(-16). Calculate the highest common factor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Solve a*w + 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 52*x - 1. Let q be t(52). Let w = 2262964\/124665 - -6\/290885. Let d = w - 128\/7. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k + 195 = 0. Suppose -10*t - 9 + k = 0. Solve t*p**2 - 27\/7*p + 6\/7 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 - (-20)\/9. Let v(h) = 2*h - 2 + h - p*h. Let a(q) be the second derivative of 2*q**3\/3 - 9*q**2\/2 + 13*q. Calculate 2*a(w) - 9*v(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36916*k**2 - 36919*k**2 + 73838*k**2 - 5.\nAnswer: 3*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5296 - 5287 + 15874 - 148*v**3 - 5291.\nAnswer: -148*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1010222 (base 3) to base 4\nAnswer: -31010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 3 + 4 - 6*r. Let p(l) = -4*l + 4. What is -3*j(h) + 5*p(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = -3*i - 150, 5*i - 5*p - 71 = -61 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 116 = -x, -5*n - 11 = 5*x - 141. Suppose 2*w = 5*g - 632, 4*w + 478 = 4*g - n. What is the highest common divisor of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 1 - 1)*(4 - 2 + 0) + 5*v**3 - 7*v**3 - 12*v**3 + 2*v**3 + 0 + 0.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1087 divide 168738271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1588 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1299577085*v**2 - 630900834*v wrt v.\nAnswer: 2599154170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from {s: 1, p: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 409 + 1134 = 5*d, -3*d = 2*o - 913. What is y in 557 - 6*y**4 + 16*y + 2*y**4 - 16*y**3 - 298 + 52*y**2 - d = 0?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11 + 2*f + 2*f - 2*f - 19. Let m be z(15). Suppose -r + 3*r - 6 = m. What is the nearest to -2 in -2\/3, r, 2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50612 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 668185.86 + -668245.859893. Let v = d + 60. What is v rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2535115 and 1152325.\nAnswer: 12675575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 + 3*k**4\/8 + 19*k**3\/6 + 8*k**2 + 1. Let m be z(-4). Let i(l) = 3*l - 2. Let x(s) = 1. Give m*i(o) - 3*x(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from uvvxvpxvpgxxpvfxxv?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40375749?\nAnswer: 3, 13458583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72, 64, 32, -30, -128?\n\"Answer: -q**3 - 6*q**2 + 17*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) -38\/21 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 - 4. Let o be 6\/(-4)*(-2)\/5. What is the second smallest value in a, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.5. Let h = -2071\/5 - -414. Which is the closest to 0? (a) i (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 12, -7\/4, -5, 2\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118 and 48658?\nAnswer: 2870822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8056 and -4?\nAnswer: -32224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**7\/420 - q**6\/90 + q**5\/60 - 5*q**3\/6 + 5*q. Let z(l) be the second derivative of w(l). Factor z(a).\nAnswer: 2*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2928036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41662 (base 8) in base 11?\nAnswer: 12025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-2)*3\/(-9). Let j = l - -7. Suppose -j*f = -4*n - 29499996, -f + n = -3*f + 11800001. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/7 + 114*j**3\/7 - 663*j**2\/7 - 774*j\/7.\nAnswer: 3*j*(j - 6)*(j + 1)*(j + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1949.7 - 1773. Let o = g + -118. What is o rounded to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 4*y + 6. Let w be 1\/3 + (-154)\/(-33). Let h be d(w). Suppose 0 = -h*p + 15*p - 200. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -12 + -5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**4 + 0 + 5\/6*p**3 + 0*p + 2*p**2 - 1\/10*p**5. Let j(k) = 13*k**2 - 11. Give -4*j(t) - 9*o(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -569 + 567.815. Let a = k - -0.085. Is -0.1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/((-42)\/140). Solve 3*c - c = -t*p - 13, -c = 4*p + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196174.\nAnswer: 2, 11, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyp when three letters picked without replacement from {p: 4, v: 6, y: 1, z: 3, d: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 7*d**2 - 7*d - 9. Let g be v(-6). Let a be (15\/g + 1)*-1. Suppose 0 = -3*s - 2*b, 2*s + 2*s - 3*b = 0. Solve -a*u = -s*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 2 - 4*q - 28*q)*(-4 + 3 + 17).\nAnswer: -384*q + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrzrrrrrrrrrrrrrz. Give prob of sequence rrr.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 2, 10, 24, 44, 70, 102?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 724*d**2 - 636*d**2 - 967*d**2 - 76*d**2 - 837*d**2 to the form b*d + q + l*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -78 times 551.8409\nAnswer: -43043.5902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2159950 and 0.3?\nAnswer: 647985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)\/(1 - 2). Suppose -2*i - 10 = 0, s + 4*i + m = -16. Suppose -t - 200 = -s*o, 2*o - 5*t = -0*t + 82. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -9)*(-10)\/7. Suppose -f = 2*j - 3*j - 4*w, -j = 5*w - 10. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let k be p(-3). Suppose -11*t = -7*t - 2*l + 8, 0 = 3*t - 3*l. Which is greater: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2. Let z(q) = -2*q**2 + 2*q. Let k(t) = t**2 + t. Let s(d) = 2*k(d) - z(d). Calculate s(i(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*g**3 - 5 + 5 + 2864*g - 2864*g.\nAnswer: -51*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 270*x**2 + 3240*x.\nAnswer: 5*x*(x + 18)*(x + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -36, -2, 13, 112 in ascending order.\nAnswer: -36, -2, 1, 6, 13, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 - -6. Let u = s + 0.3. Let z = 4.947 - -0.053. Which is the nearest to u? (a) -4\/3 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 2*p**3 + 2*p**3 + (-3*p**2 + 3*p - 3*p + (-3*p - 3*p + 5*p)*(-6*p + 2*p + 3*p))*(-4*p + 0*p + 0*p) to x + m*p**3 + t*p + y*p**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(2\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 244, 504, 764?\n\"Answer: 260*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 5*t + 5, -5*t = 3*g - t + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 79401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16723?\nAnswer: 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:26 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -0.2 (c) 28 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 28*z + 211. What is the lowest common multiple of 3 and n(17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 11:47 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*q**5 + 151500*q**4 + 475080*q**3 - 14880*q**2 - 903120*q - 373824 = 0.\nAnswer: -2, -6\/13, 4\/3, 1298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 88. Suppose 10*f + 35 = a*f. Suppose f*v - 18 = 5*v. Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1743 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/8? (a) 6 (b) 0.8 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42546*z**2 - 68868*z.\nAnswer: 85092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 927, 789, 557, 231?\n\"Answer: -47*s**2 + 3*s + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28008?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2701587 and -47\/445893?\nAnswer: 45926979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1081.6828 and 0.23.\nAnswer: 248.787044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*b + 13 = -2*b, 0 = 5*g - b + 25. What is the units digit of ((-56)\/g)\/(4\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 478 + -447. Solve -t*h = 28 + 65 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 79. Let h = b - 20. Solve -h*z - 7 = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662846481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/(-1))\/((-8)\/64*8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, p: 3, m: 11}. What is prob of sequence mm?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**23*c))**(-17) assuming c is positive.\nAnswer: c**391","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38411 = 1310*u - 769*u for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeeeepeedeeeeeeepee. Give prob of picking 2 e.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 781 - 749. Suppose 3*p - 3612 = -3*g, g + 3*p = -z*g + 6022. Is 53 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12181*m**2 - 104*m - 312. Let u(v) = -348*v**2 + 3*v + 9. What is -3*n(f) - 104*u(f)?\nAnswer: -351*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-2 - 1))*1073. Calculate the common denominator of -25\/8 and v\/(-90) - 6\/27.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34672 + 34672 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - -3) - (-4 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:17 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126229, 252415, 378601, 504787?\nAnswer: 630973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, q: 1, t: 3, g: 4, z: 2, r: 2}. What is prob of picking 1 x, 1 r, 1 g, and 1 q?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + m**2 + 5*m + 2. Let b be u(-3). Let s = b + 72. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231224 - 82634 = 5715*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -3*m**7\/70 + 5*m**3\/6 - 17*m**2\/2 + 12. Let p(s) be the second derivative of a(s). Differentiate p(f) wrt f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/57 and -6 - ((-2303)\/(-14))\/(-7).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2*sqrt(3146))\/(-2*sqrt(98)) + (sqrt(13) + sqrt(1300)*3 + 4)*1))**2.\nAnswer: 65664*sqrt(13)\/7 + 24356736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -4. Suppose -2*q = n*y - 32, 3*q + 4 = -y + 2. Suppose 0 = -3*u - 0*u + 2*a + 6, -y = -u - 2*a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/50 and 137\/1188.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12))**2*-1 - (sqrt(144)\/sqrt(4))\/sqrt(12))*3.\nAnswer: -36 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320324 - 320324 + 2*l**2 + 8*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least 698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84417443?\nAnswer: 11, 797, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -110?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 10*y**2 + 32080955*y**3 - 32080954*y**3 + 3*y**2 - 16*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1\/3)*d*d*d*d\/d**(3\/7))**(9\/2)*(d\/d**(-8))\/d**(-3\/4)*d**(-2)*d**(-2\/5) assuming d is positive.\nAnswer: d**(4329\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 125 = 35*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 0, d - q + 0*q - 13 = 0. What is the greatest common factor of 323 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 19*p**4\/12 + 3*p**2\/2 + 19*p + 25. Let c(x) be the first derivative of z(x). Differentiate c(i) with respect to i.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 16*d - 21. Give w(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3486*q + 2305 + 63929 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/6)\/(6\/16). Let c = 94\/25 + l. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0 - 0) + 1. Let l be (-7)\/21 + (-5)\/3. Put -3, l, j in ascending order.\nAnswer: -3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 10. Let k be x(7). Let f = -18 - k. Suppose f = -d + 10. What is the remainder when 48 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/3 - 5732*v**2\/3 + 45664*v\/3 - 30400.\nAnswer: 4*(v - 1425)*(v - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18599244 or -18599246?\nAnswer: -18599244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2757 - -2738.63. Let s = p - -17.6. Round s to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 3\/2, 10046, -25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2 + 10. Suppose -124 = -0*r - 5*r - 2*j, 2*j + 84 = 3*r. Calculate the remainder when (u - 4\/1) + 78 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30651.\nAnswer: 3, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153954 is divided by 9604?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7773\/19 - -409. Let s = -154 + 164. Which is the second biggest value? (a) -3 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 15*v + 31. Let u be i(17). Which is the closest to -2\/5? (a) -5 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhlbbbbbhh. Give prob of sequence bhlh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147272144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2018*d**3*h**2 - 17*d**3 + 15229*d**2*h**2 - 1 wrt d?\nAnswer: 12108*h**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 22. Let g be i(-5). Let k(p) = -158 + 149 - 13*p - g*p. What are the prime factors of k(-4)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3996*g - 3999*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-63) + (-5)\/35.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131615 is divided by 21933.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1365 - 1355. Solve -5*t - 3*n = -7 + 12, q = -2*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 364*k = 367*k + 296, -k = 7. Solve -88 = -f*b - 308 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 2. Let n = -3 - v. Let c(h) = 73 - 109 + 3*h + 37 + 7*h. What is c(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40520 + -4?\nAnswer: 40512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.237 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304.0317 + -0.0317. Let k = 303.9 - o. Which is the fourth biggest value? (a) 3\/4 (b) k (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -40?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f - 28. Let p(x) = -3*x - 8. Let u(m) = -2*a(m) + 7*p(m). Let l(k) = -18*k**2 - k + 18. What is u(l(s))?\nAnswer: 18*s**2 + s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 5*s**3 - s**2 + 21*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71, -328, -765, -1382, -2179, -3156?\n\"Answer: -90*d**2 + 13*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {z: 11, a: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)\/f**22)\/(f*(f**(9\/5)*f)\/f*f**(1\/19)\/f) assuming f is positive.\nAnswer: f**(-3406\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 18.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 0)*-1191 - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4079.7176 to 0 dps.\nAnswer: -4080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:38 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, -59, -3 in decreasing order.\nAnswer: 3, 2, -3, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 43. Let p = 33.81 + -33.41. Which is the biggest value? (a) 8 (b) w (c) p (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**2*s))**(1\/11)*(s\/(s*s**(1\/3)))\/(s**(4\/9)*s*s) assuming s is positive.\nAnswer: s**(-293\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7083?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 13*v**7\/105 - v**6\/24 - 3*v**5\/10 - v**3 - 141*v**2. Find the third derivative of o(m) wrt m.\nAnswer: 624*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*i**3 - 1 - 32981*i + 3 - 24*i**3 + 32977*i to the form s*i**3 + h*i**2 + f + g*i and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-25)\/80*16\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220.321 - 0.49.\nAnswer: -220.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*z - 40468 + 8910 = 0. Is 508 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 1396*f**2 + 12*f + 1398*f**2.\nAnswer: 2*f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:46 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, 0.2, -1\/3.\nAnswer: -1\/3, 0.2, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-10)*18*(-35)\/2520.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2429*j. Let h(w) = -34*w**2 + 2. Give h(v(k)).\nAnswer: -200601394*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 49665810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j + 9*j + 1782 - 1791 + 7*j + 0*j to the form b*j + r and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-31))**6\/(h**36)**(-6\/7) assuming h is positive.\nAnswer: h**(-1044\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + ((sqrt(147) + 1*sqrt(147) - sqrt(147))*2 + sqrt(147) - 4*(sqrt(147) + sqrt(147) + 0)))*-2)**2 + 2.\nAnswer: 560*sqrt(3) + 14718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*o**4 + o**2 - 11 - 3*o - 1 + 13 to the form s*o**2 + m*o**4 + y*o**3 + j + c*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2674 - -3889. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 2. Give h(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7044 is divided by 3501.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1068 and 82770.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -33\/5*u**5 + 6*u**3 + 0*u + 0*u**2 - 68 + 0*u**4. What is the third derivative of d(m) wrt m?\nAnswer: -792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*-1)\/(8\/(-16)). Suppose 0 = 2*k - b*g + 4, -4*g + 16 = 4*k. Solve -8 = 4*c - 0*c, 5*c = 3*x + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -788*q**2 + 1860*q**2 - 778*q**2 to the form o + m*q + v*q**2 and give v.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*t**3*x - 20*t**2*x - 2*t*x + 5*t - 66017*x - 1 wrt t?\nAnswer: 87*t**2*x - 40*t*x - 2*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -250, 1, -4?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 20*b + 14. Let f(d) be the first derivative of d**3\/3 - 2*d**2 - 10*d - 2. What is the tens digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(360)\/sqrt(32) + sqrt(225)\/sqrt(5) + sqrt(45) + 2 + (4 + sqrt(5)*-2 + (sqrt(180) + -2 - sqrt(180)))*4)**2.\nAnswer: 50*sqrt(5) + 525\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75647.\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 151*h + 60. Let y(m) = 265*m + 120. Calculate -7*k(c) + 4*y(c).\nAnswer: 3*c + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 14*d + 112 = 0. Let r = -11 - -95. What is the highest common divisor of d and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2141, -149.\nAnswer: -2141, -149, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 9.56?\nAnswer: -334.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by -5?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54941*k = 55331*k - 12870 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13c0 + a8?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -210563 + 1?\nAnswer: -210562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18021 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {d: 3, a: 12, c: 2, q: 3}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2363 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194805 and 33696.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-192))\/((-23)\/((-18630)\/27))?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*n - 101 = 0, -46*n + 47*n + 19 = -r. Let c be (-14)\/4 - (-1 + -2). What is the nearest to 1 in 1\/8, c, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 21. Let u be (1\/600)\/(l\/(-36)). Let j = 11591\/1200 + u. What is the common denominator of j and 46\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 27. Let t(c) = 28*c + 80. Let m(j) = 11*q(j) - 4*t(j). Let w be m(-13). Solve -15 = 3*h + 2*r + r, 4*r = w*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4937748587.\nAnswer: 4937748587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 1, c: 1, m: 1, p: 1}. Give prob of sequence py.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*y**2 + 11*q**3 - q**2*y**3 + 42*q*y**3 - q*y wrt q?\nAnswer: -12*q*y**2 + 66*q - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/(-8)*1*2. Let a = f - -30. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9649*b. Let h(r) = 6*r**2. What is h(v(y))?\nAnswer: 558619206*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7669 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8968*i - 6 = -4*x - 8967*i, -3*x - 3*i + 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 18.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = -5*x + 678. Suppose 21*l + x = 26*l. What is the highest common divisor of l and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4890)\/6357*1\/5\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 8053*g**2 + 7*g - 5*g**3 - 8044*g**2 to n*g**2 + u + k*g**3 + b*g and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 1365446*q\/9 - 1365448\/9.\nAnswer: 2*(q - 1)*(q + 682724)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-9)\/(-252)*7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**4 - 91314*h + 50970 wrt h?\nAnswer: -4*h**3 - 91314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1364 + 1369. Solve -2*u = j*y - 42 + 21, -4*u = -4*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - -146. Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 92, 145, 166, 125?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2600*y - 10008*y - 670*y - 6326*y)*(-4 + 3 + 3) as r + j*y and give j.\nAnswer: -28808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-182))\/(1*(-354)\/(-13)).\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 3*o + 9*o + 10 + (-2 + 2 - 2)*(-2*o + 2 - 2) to r*o + d and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1512, 3129, 4948, 7071, 9600, 12637, 16284, 20643?\n\"Answer: 17*m**3 - m**2 + 1501*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 7*v - 7. Let t be x(-5). Suppose t + 5 = 4*h. Find the third derivative of -2*k**2 - 3*k**h + 6*k**2 + k**4 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 - 6*x + 5. Let f be z(-6). Suppose -3*v + 126 = f*s, 2*s = -0*s - v + 50. What is the remainder when 70 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6102 (base 14) to base 12\nAnswer: 9786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + z - 1. Let l(x) = 4*x**3 - 11*x**2 + 6*x - 8. Calculate -l(q) + 6*o(q).\nAnswer: -4*q**3 + 5*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -43, -67, -97?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Let v be 38\/14 - (-8)\/224*8. Is v greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22644546 to the power of 1\/2, to the nearest integer?\nAnswer: 4759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**4*j**3 - 31*d**2*j**3 + 3*d**2 + 2*j**3 - 2*j + 1379 with respect to d.\nAnswer: 12*d**3*j**3 - 62*d*j**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**4 + s. Let d(t) = -4*t**2 - 4*t. Let l(y) = d(y) + 4*h(y). Factor l(o).\nAnswer: 4*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454483 (base 11) to base 4\nAnswer: -2300211230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4370859, -4370865, -4370871, -4370877, -4370883?\nAnswer: -4370889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32454 and 36?\nAnswer: 64908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = b - 2*b + 9, 3*c = b + 12. Let y(v) = -v**3 + 8*v**2 - v + 11. Suppose 0 = 3*t + t - 32. Let i be y(t). Put i, b, 1 in descending order.\nAnswer: i, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*o - 2, 4*o + 62 = -1076*y + 1071*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 16, 2102, 3, 8.\nAnswer: -21, 3, 5, 8, 16, 2102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35763507 a multiple of 2379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 1. Let d(t) = t**2. Let u(i) = 3*d(i) + h(i). What is u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from {l: 1, u: 12, z: 4, a: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 315 - 293. Let k = 2 + 16. What is the remainder when k is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*t = -10, a + 3*t = 2 - 12. Let h = 0.38 + -0.43. Put -2\/9, a, h in decreasing order.\nAnswer: h, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*2*-8*5\/(-80). Solve 3*l + 28 = -4*s + 7*l, -s + 5 = g*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.689 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*q + 10*q. Let j be 0 + -6*q\/5. Suppose 2*m = -2*m. Solve 0 = -2*g - m*g - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -967.3387 - -21.1847. Let z = t + 947. What is z rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + 4588\/(-70). Let t = 1423\/14 + l. Find the common denominator of -65\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose 2*i = f - 12, f + 3*f + t*i + 4 = 0. Solve 1 + 15 = -f*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/25517 and -47\/1422237.\nAnswer: 27022503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 693 - 200. Suppose -3*m = -3*s - 546, -229 = -4*m + 2*s + i. List the prime factors of m.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1293*-46.1.\nAnswer: -59607.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20775 times 0.5\nAnswer: -10387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26187718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84*((-4)\/(-74) - 52351\/(-1443))?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, -0.3, -8, -2\/3, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1110 - -1110. Let m(a) = 4*a - 3. Let i(s) = 7*s - 5. Let l(x) = -3*i(x) + 5*m(x). Give l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 125772*z\/5.\nAnswer: z*(z - 125772)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16098944 and 1110272?\nAnswer: 32197888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025724 rounded to five decimal places?\nAnswer: -0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2117, 4159, 6199, 8237, 10273, 12307, 14339?\nAnswer: 16369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -11695?\nAnswer: 11690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3))\/(h**(-15)*h)*((h**1*h)\/h)**27 assuming h is positive.\nAnswer: h**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11205*c**2 - 4*c - 2 + 1 + 56836*c**2 + 2*c. Let o be h(-1). Suppose -15568 = 4*g + o. Round g to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333960 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 3*w**3 - w**3)*(3*w + 2*w - 7*w)*(w + w - w).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/6 + (-1 - -3). Put -4, u, -2, 5 in ascending order.\nAnswer: -4, -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 59*h**2 + 5. Let g(i) = 384*i**2 + 32. Determine -5*g(z) + 32*y(z).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 109666343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6968921 to the power of 1\/2, to the nearest integer?\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-10)*60\/24. Suppose -k + a*k = 35. Suppose -4*m = -k*n + 44, 3*n - 24 = -2*m + 5*m. Calculate the smallest common multiple of 7 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 72*o**2 + 412*o + 1072. Let q(b) = 13*b**2 + 75*b + 195. Let k(t) = 28*q(t) - 5*x(t). Factor k(d).\nAnswer: 4*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 219*w**4 - 2*w**3 - 2*w**2 - 391*w - 2. Let c(h) = 2*h**4 + h**3 + h**2 + 1. Let f(y) = 2*c(y) + s(y). Find the second derivative of f(u) wrt u.\nAnswer: 2676*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5478243 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5311*k**2*o**3 - 2449*k**2*o**2 - 316443*k*o + 45*o**3 + 11 wrt k?\nAnswer: -10622*o**3 - 4898*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-16)\/12)*(-2)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 28193 = 5*r, 2*r + 56431 = 4*i + r. Let s be i\/9 - (-6)\/18. Suppose -4*o + o + 946 = 4*v, -2*v = -5*o + s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164, -739, -1696, -3035?\n\"Answer: -191*u**2 - 2*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**7\/210 - 59*v**6\/120 - 57*v**5\/20 - 169*v**4\/24 - 28*v**3\/3 + 16*v**2 + 28. Factor z(x).\nAnswer: -(x + 1)**3*(x + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 198 + 53 + 49 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 102. Suppose 4*n - b = n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 4*p + 11*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*sqrt(272))\/sqrt(8) - sqrt(34) - 6*sqrt(34)*-1))\/(sqrt(4)\/(2*sqrt(2))*1*5).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 - 31046*w**3 - 120528324*w**2 - 361367680*w - 240870400 = 0. Calculate w.\nAnswer: -7760, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((132\/(-440))\/((-19)\/38))\/((-33)\/(-30)*-1)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 28770.\nAnswer: -1\/5754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/59503 and 7.\nAnswer: 59503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 10468*k - 135746.\nAnswer: -2*(k - 5221)*(k - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*l - 2*g - 3, 4*l - 3*g + 25 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -68*c**6\/15 + 105*c**4\/2 + 33*c**2 + 6. What is the second derivative of k(q) wrt q?\nAnswer: -3264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*u - 8, 5*u + 0 - 2 = -s. Let m(h) = -2*h**2 - h**3 + 1 + 2*h + h - 4. Let x be m(s). Let w(i) = -2*i**2 - 5*i - 3. Calculate w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 35. Let i(m) = m**2 + 95*m - 7. Let s(p) = -2*p**2 - 210*p + 15. Let v(j) = -9*i(j) - 4*s(j). Determine v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 33 (c) 1\/4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -42. Suppose 51 = m - 3*w + 12, 0 = 3*m + 3*w - 69. Is 3 a factor of 6\/m - k\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l = -82*l + 105. Solve l*i + 4 = 19*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-8 - (9 + (2 - (5 - -5))))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376 is divided by 74?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 29*s - 9. Give l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/9)*p**3*(p**(2\/7))**(-29)*((p*p\/(p\/(p*p**1*p)))\/((p**(-6)*p)\/p))**(-28) assuming p is positive.\nAnswer: p**(-17980\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3\/794, 3.01, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1745667*u**2 - 225*u**3 + 1745667*u**2.\nAnswer: -225*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228*(25\/(-10) - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658294 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 + -237. Suppose 5*a = 4*m + x, -a + 2*a = m. Solve 0 = -2*v + 2*q, -v + a*v + 5*q = 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 71. Let r be (-15)\/25 + (-73)\/(-30). Let s = 1\/2 - r. What is the second biggest value in -5, -2, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 0*a + 19*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49260922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = 3*i + i, 5*z + 5*i = 0. Suppose 0 = 4*v + 12, 0 = h - 6*h - z*v + 268. Let a(w) = 112 - 2*w**2 - h - 56. Let q(l) = 28*l. Determine q(a(x)).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287866852 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 955 - 566. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 j, and 1 s when four letters picked without replacement from {j: 1, s: 4, g: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 43, 47, 51, 55?\n\"Answer: 4*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/3)*g*g**(-19\/6))**(-1\/32))**33 assuming g is positive.\nAnswer: g**(99\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 12. Let y(c) = -c**3 - 4*c**2 + c + 4. Let s be y(-4). Suppose -l*x + 3 = -s*x. Solve g - x = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.059 + -3.059. Sort -4, v, -1\/3 in decreasing order.\nAnswer: -1\/3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34009660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/101095?\nAnswer: -2\/101095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -2\/21, -0.8, 1\/11?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152107\/30 - -5076. Calculate the common denominator of (9\/(-6) - 1)*(-12)\/675 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -24. Find u such that -k*u - 19*u + 7*u**2 - 2*u**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 101\/6, -3 in descending order.\nAnswer: 101\/6, 4, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000276 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48039123 - 48039123 - 30*d**2.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7517409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -3*h**4\/4 + 7*h**3 + 267*h**2\/2 - 1485*h + 1875. Factor x(f).\nAnswer: -3*(f - 11)*(f - 5)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577263057 to the power of 1\/3, to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113408 and 132014?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 223088*b**3 - b**2 + 223136*b**3 + 3 as h + w*b**2 + n*b**3 + t*b and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -t + 8, -13 = t - 3*t + 5*q. Suppose -20 = -4*n - n, t*z + 4*n - 24 = 0. Is (-154)\/(-6) + z\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 170*h - 9*h**2 - 170*h)*(-3*h**2 - 4 + 4).\nAnswer: -6*h**5 + 27*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17664 and 598368?\nAnswer: 4786944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 555 (b) -11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 99. What is the tens digit of h(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*q + 3*h, q + h = 3*h + 4. Suppose -3*b - q*w = -b + 10, 5*w = -2*b - 7. Let i be -3*(-4)\/b*-1. Solve 3*l - i*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268*z - 127*z + 16 - 126*z with respect to z.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a**3*b*g**2 - 22*a**3*b - a**3*g**2 + 2*a**2*b*g**2 + 6*a*b*g**2 - 10*a*b wrt a.\nAnswer: 144*b*g**2 - 132*b - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -236\nAnswer: -236.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5799 + -22.5799. Which is the third smallest value? (a) g (b) -5 (c) 191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4443 = 4*r, 0 = 3*z + 3*r - 2*r - 2663. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23556.606 hours?\nAnswer: 981.52525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1794 + -1793.89. Put 3, -2, n, -7 in increasing order.\nAnswer: -7, -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 533633, 1067265, 1600897?\n\"Answer: 533632*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*r + 134 = 0, 0 = -j - 4*j + 4*r - 586. Is 42 a factor of (42\/(-8))\/((j\/144)\/19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342119*0.57.\nAnswer: 195007.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 109. Solve -4*v = 0, -9 - 11 = -x*p + 2*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkue when four letters picked without replacement from {r: 1, e: 4, s: 2, k: 2, u: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 46*o\/3 - 529\/3.\nAnswer: -(o - 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683299.\nAnswer: 1683299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g. Let z(t) = 5*t. Give 2*p(v) + 5*z(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369338, -369438, -369542, -369650, -369762, -369878?\n\"Answer: -2*o**2 - 94*o - 369242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-36)*12*6. Let f = t - -51. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 4*i + 5. Let s be l(1). Suppose r - 21 + 1 = s. Calculate the highest common factor of 40 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 786 - 785.248. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*((((r*r**1\/r)\/r)\/r)\/r*r*r)\/r*r**1*(r\/(r\/(r**(-1)*r)))**(-10)*(r*r*r**(-6)*r\/r**(-2))**(4\/17) assuming r is positive.\nAnswer: r**(13\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*m**3 + 8*m**3 - 16*m**3)*(1 - 1 + 7*m).\nAnswer: -224*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:39 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -5. Let i be 30\/l*(-18)\/10. Suppose 28 + 2 = 2*t. Calculate the highest common factor of t and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - (-10)\/(-6). Let s(i) = 12*i + 269. Let b be s(-22). Is b at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 10*n - 15. Let z be u(14). Let l be 3*z\/42 - 3. Let y be ((2 - 3)*0)\/(-1). Is y >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:03 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 5. Let i = 11 - 10. Let j = i + b. Put 4, 0.5, j in increasing order.\nAnswer: j, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 291 in 5, 4, -1\/7, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d + 1. Let f = -71 - -74. Let v(l) = -3*l**3 - 11*l - 3. Calculate f*v(r) + 8*x(r).\nAnswer: -r**3 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010832342 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 44. Let c be (-7)\/(v\/9)*-2. Let d(t) = t**3 - 4*t**2 + t + 1. Let w be d(4). Sort w, c, 3.\nAnswer: c, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -1\/2, -2\/321 in ascending order.\nAnswer: -1\/2, -0.2, -2\/321, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/141)*n**(20\/9)*n assuming n is positive.\nAnswer: n**(1369\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from lzttitoohltlzlo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-6) - ((-870)\/(-90))\/(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4320*o + 9*j + 12 = 4323*o, -2*o = -3*j - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Expand -2*s**3 - 3*s**3 + 4*s**3 + (6*s**3 - 3*s**3 - s**3)*(2 - 1 - 2) - 2 - 3*s**3 + 2 - 6 - 7*s**3 + 6.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a + 21*a + 25*a)*(0*a**4 + 0*a**4 + 2*a**4).\nAnswer: 130*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-310)\/(-248)*496*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68375.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000183511 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51\/15 + -3 + 536\/10 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983083529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/((-72)\/1620).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -142 * 80\nAnswer: -11360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 41*z**2 - 3*z. Let q be o(3). Is 17 a factor of 5\/((-10)\/(-8)) - (1 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*c**2 - 1931 - 25*c + 1931 + 25*c.\nAnswer: 532*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 18998*m + 284508. Calculate d(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 9*p - 2. Let v(y) = -y**2 + 18*y + 5. Let b(i) = 7*l(i) + 4*v(i). Factor b(s).\nAnswer: 3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + (sqrt(76)*-1 - sqrt(76)) + sqrt(76))*3)\/sqrt(4).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.5 (b) -1\/4 (c) 3 (d) 8 (e) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 19 (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose -2 - m = -v. Solve -3*y - 28 = -v*n, 8*n - 3*n - 28 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/43280 and 77\/400.\nAnswer: 216400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01124 + -376.46124. Let y = -357 - k. Let t = -19 + y. What is t rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 1, r: 1, h: 1}. Give prob of sequence hso.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.68 + 0.28. Is g equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8833?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106055 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * 1584.\nAnswer: -55440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 1106419683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*0.01643.\nAnswer: 0.018073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1170\/273)\/(432\/224).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1846, 1, 383, 4 in descending order.\nAnswer: 383, 4, 1, -17, -1846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/5)\/(a\/a**(2\/17)))\/(a\/(a*a**(-4))*a*a*a**(1\/5)))\/((a\/(a\/(a*a\/(a*a**(-1))*a)))**(2\/19))**(-26) assuming a is positive.\nAnswer: a**(3114\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 649, 795, 975?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 483 - 482.89. Sort -9, -4, l in descending order.\nAnswer: l, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4866469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, -62, -90, -118?\n\"Answer: -28*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75279a + -5?\nAnswer: -7527a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724675369 divided by -4387.\nAnswer: 165187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + -2) + sqrt(3520)\/sqrt(11) + 5)**2.\nAnswer: 90*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -79\/4 (b) -12 (c) -10\/1507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.535 times -60.9616\nAnswer: -32.614456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t)\/t**(2\/7)*t\/t**(1\/4)*(t**(-2\/9)*t)\/t assuming t is positive.\nAnswer: t**(-443\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 3*x + 382547 - 382507 = -4*k, k - 2*k = -x + 11 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1637*m + 2707*m - 28890 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 - 6555*n**3 - 13194*n**2 + 157464*n = 0.\nAnswer: -6, 0, 4, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + 2*a - 6. Let f be d(5). Let p be (-2)\/f + 4\/8. Let q(m) = 6 + m**3 + p*m**2 + m**2 + 0*m**2. What is q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/21)*g*g**(2\/3)*g)**27\/(((g*g**(2\/7))\/g)\/g**1)**(-47) assuming g is positive.\nAnswer: g**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 229 = 403. Suppose 56 = m - 2*t, 5*m - 5*t + 4*t - q = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26042 rounded to three decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 151*i**2. Let o(u) = 373*u**2 - 1. What is o(k(f))?\nAnswer: 8504773*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/20 - d**3\/6 + 49*d**2 - 4*d. Does 20 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -7*u**4\/12 + 5*u**3\/6 - 2*u**2 - 2*u - 29. Let s(a) = -6*a**2 + 4*a - 3. Determine -5*p(o) + 6*s(o).\nAnswer: -o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1930530 and 210?\nAnswer: 1930530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 330 = -h. Suppose 4*o = 2*o + h. Calculate the remainder when 61 is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**4\/12 - h**3\/6 + h**2 + 15*h + 12. Let l(f) be the first derivative of t(f). Give l(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024.561ug in nanograms?\nAnswer: 4024561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 12*l**2 + l - 5. Let b be v(12). Find the first derivative of -3 - 4*o + b*o + 0*o wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-132)\/(-10) - 2\/10. Let r(f) = f - 3*f - 2*f + w. Suppose 2*x = -3*a - 14, 12 = 148*a - 152*a - x. Let z(d) = d - 3. Give a*r(m) - 9*z(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35000 and 15650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -287, -338, -441, -614, -875, -1242, -1733?\nAnswer: -2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -100. List the prime factors of u\/(-144)*-8*177*1.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3711703 - -5?\nAnswer: -3711676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b75a - -4?\nAnswer: 3b762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 414\/483*(-14)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -85. Let z(g) = -4*g + 34. Let n be z(d). Solve -5*o - x + 4 + 14 = 0, -5*o + 3*x + n = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90702 to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 211, -500 in decreasing order.\nAnswer: 211, 4, -6, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.837494m?\nAnswer: 0.009837494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 5*o**2 - o - 14. What is the least common multiple of n(6) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + (-100 - -100).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 73*i**2 + 559*i + 10704. Determine m(-67).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + (-20)\/(-6). Suppose -25 = -0*j - 5*j. Solve -j*w + 16 = -2*k, 3 - 13 = -g*w + 3*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -55*b**2 - 30586*b - 3331. What is o(-556)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140968119.\nAnswer: 113, 1009, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 l when three letters picked without replacement from lflfff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -5*k + 87. Let u = 30 + k. Is 29 a factor of (-174)\/(u + 3 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 14*r - 13*r + 1 + 6*r**2 + (37*r + 23*r + 99*r)*(0 + 0 + 3*r).\nAnswer: 485*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -603, -582, -573, -582, -615, -678, -777, -918?\n\"Answer: -b**3 + 28*b - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2645*b = -2394*b + 17726 + 1601 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 315.8 and 21875016?\nAnswer: 21874700.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.047102 to three dps.\nAnswer: 1.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93237188.\nAnswer: 2, 11, 37, 57271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47273, 47424, 47685, 48056, 48537?\n\"Answer: 55*y**2 - 14*y + 47232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11201 + -53?\nAnswer: 11104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - ((-780)\/(-100))\/((-18)\/30) - -2*4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1744\/(-296) + 6)*1\/(-4)*-2.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f. Let m(w) = 5*w. Let r(v) = -3*i(v) - 4*m(v). Let d(x) = 0*x - 2*x - x + 2*x. Determine r(d(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370382.\nAnswer: 2, 109, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -37*t + 376. Give g(4).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 132*m + 58 - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2435 (base 8) to base 11.\nAnswer: a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1151.588 * 25\nAnswer: 28789.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 25. Let f be c(20). Suppose f*p = -3*b + 4437, -4*p = -5*p + 2*b + 877. Suppose -p - 195 = -6*t. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 184*c - 969 - 503. Let w = 46 - 40. Calculate the remainder when c is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2830 in ascending order.\nAnswer: -5, -1, 2830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*a - a + 35255, -2*p = -5*a - 17635. Which is bigger: p or 8816?\nAnswer: 8816","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {c: 7, x: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.7? (a) 2 (b) -0.25 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.95. Let u = -0.38 - 15.52. Let o = u + 11.9. Which is the nearest to f? (a) 0.3 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3514 and 8804578?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r - 18. Let v be j(12). Suppose -5*y = -598 - v. What is y rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 less than -965923360?\nAnswer: -965923131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(((h*(h*(h**14\/h)\/h)\/h)\/h)\/h))*h*h**(-3\/4)*h assuming h is positive.\nAnswer: h**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -21*c**2 - 7*c - 7. Let w(x) = -10*x**2 - 3*x - 3. Let b(z) = -3*v(z) + 7*w(z). Let s(m) = -m**2. Give b(s(h)).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57928001 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 177*4\/12 + (2 - 6). Solve 24 = -61*x + h*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = m - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -52. Let c = x - 9. Solve -5*t = c*i + 4, -t + 5*t + 8 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808662 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97396, -98180, -98962, -99742, -100520, -101296?\n\"Answer: b**2 - 787*b - 96610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**6\/12 - 11*k**5\/5 - 27*k**4\/2 - 100*k**3\/3 - 32*k**2 - 3909. Find z, given that p(z) = 0.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2143ba1 (base 13) to base 8.\nAnswer: -46553630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 894, 1991, 3530, 5517, 7958?\nAnswer: 10859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + -31. Let d = 51 + n. Is 11 a factor of (-3)\/((-9)\/d) + 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036352678 rounded to 4 decimal places?\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222*m**2 - 245*m**2 - 183*m**2)*(-3*m + 2*m + 3*m)*(2 + 2 - 5).\nAnswer: 1300*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -41. Let c = b - 18.2. Let r = c + -12.2. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1383 and 2.\nAnswer: 1.8617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:25 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -11*m**4\/2 - 5*m**3\/3 + 5*m**2\/2 + 21*m + 49. Let b be s(-5). Round b to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-6)\/(-24)). Let v(b) = 1 + y - 2 - b - 3. Let o(g) = 3*g + 4. Let u(x) = -3*o(x) - 5*v(x). Differentiate u(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 3570?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 2*m - 2. Let j(v) = -3*v**3 + v**2 - 3*v - 4. Let x(g) = 3*j(g) - 5*t(g). Suppose 25*p + 14616 = 3616. Let r = p - -438. What is x(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a meter in millimeters?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 134 + 146 = 0. Let r be ((-8)\/(-14))\/((-4)\/d). Let o = 8 + -4. Solve 3 - 11 = -5*i + 4*b, 0 = -o*i + 4*b + r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -36 + 3 - (-40 - -30 - -15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/11, -1\/20, 5, 50, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163806*k**2 + 327591*k**2 - 163802*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -939, -1, 2, -4, 0 in ascending order.\nAnswer: -939, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 28. Let o be d(-12). Suppose o*y = 3*y + 120. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 1. Let k(r) = r**2 - 9*r + 10. Let d be k(7). Let x be d\/36 + (-2)\/(-6). What is the third smallest value in -2\/15, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 6*h**5 + 17*h**5 - 47*h**5 - 17*h**5 + (-2*h**4 + 2*h**4 + 2*h**5)*(1 - 3 + 3) - 11*h**4 + 11*h**4 - 7*h**5.\nAnswer: -46*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w = 60*w - 200. What is the remainder when w is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 610617.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 521342\/93 + -11213\/2. Let j = -241\/991 - 39185\/5946. Find the common denominator of j and c.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68513 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 243 - 247. Sort 3\/7, -4\/3, -3, o in descending order.\nAnswer: 3\/7, -4\/3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1690\/(-650)*1650\/12155?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 215\/45 - (-4)\/18. Suppose 5*m + 3 - 23 = -5*n, -c*m + 20 = -3*n. Suppose 0 = -3*i + i + m. Solve 3*a + 4 = -i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 4*q - 6*q)*(-q**2 - 2*q**2 + q**2)*(-q + 3*q + q).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 + -1 - (-2 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 22*x**2 - 20*x + 9. Let z be v(21). What is the highest common factor of z and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + b**3 - b**3)*(-2*b - b + b) + 0*b**2 - b**4 + 0*b**2 + (2*b**4 - 6*b**4 + 2*b**4)*(-457 - 577 + 716).\nAnswer: 637*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2233 or 2.557?\nAnswer: 2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/6*535\/749.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 207?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 + 5. Let c(r) = r**3 - 2*r**2 + 8. What is -5*c(f) + 8*n(f)?\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/24)*a**(-2\/23))\/(a\/((((a\/a**(-1\/5))\/a)\/a)\/a)*(a**15*a)\/a) assuming a is positive.\nAnswer: a**(-49483\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.1, 0.2, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132850521763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 - 284. Suppose 86*j - 87*j + x = 0. Let t(n) = -n**2 + 3*n. Calculate t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 6. Let w be 1078\/462 + (2\/3 - 0). Let i(j) = 5. Give w*v(l) + 4*i(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 = -8*n - 213. Suppose 0 = 12*v - 7*v - n. What is the third derivative of -41*j**3 + 46*j**3 + 3*j**2 + v*j**2 wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/27 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208389 is divided by 104112.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -13, -28, -59, -112, -193, -308?\n\"Answer: -g**3 + g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1426 - 1201. What is the highest common factor of 75 and i?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(200)*-2 - sqrt(8)) + -4.\nAnswer: -4 - sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-10) + 10\/(-50). What is the fourth smallest value in r, -15, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -13, -36, 3 in decreasing order.\nAnswer: 3, -3, -5, -13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 2090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-2) + (-4)\/8. Suppose -3*i + y = 3*y - 14, -y = 2*i - p. Suppose -4*o = -v + i*v - 9, 5*v = -4*o - 3. Let h(a) = a**3 + 4*a**2 - 3. Give h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 60. Suppose -p = -q + 3. Calculate the highest common factor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s + 29*s - 112*s - 35 + 53*s.\nAnswer: -4*s - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/33, 2.9, 0.2?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3802807, -7605644, -11408481, -15211318, -19014155?\nAnswer: -22816992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054239 is divided by 6494?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/8)\/((-15)\/(-10) - 0). Which is the fourth smallest value? (a) m (b) 5 (c) -0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -23*p**5\/10 - 607*p**2. Let a(q) = q**2. Give a(c(k)).\nAnswer: 19044*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484274433095 plus -8?\nAnswer: 4484274433087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -26. Let k be (i\/4)\/((-12)\/(-48)). What are the prime factors of k\/9 + (-18918)\/(-162)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10601609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 51372\/277, -2\/15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.877 + -2.61. Let x = 0.26699799 - m. What is x rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.053 - 49. Let l = k + -4.053. Which is the closest to -0.1? (a) l (b) 1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 51*s - 79. What are the prime factors of f(14)?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44535107 + -3?\nAnswer: 44535104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1078 = -3*l + 10*l. Suppose 2*k - 2*q - l = 0, 3*q = -3*k + 2*k + 93. Let y be (-65)\/(-7) + (-4)\/14. Calculate the greatest common factor of k and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3300 + -330242?\nAnswer: -321442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 10660\/(-1196) - 19\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190311.\nAnswer: 2190311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 2. Suppose -4*i - 7 + 35 = 0. What is the remainder when b is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/55 - (-254)\/10. Let b be 4\/(8\/6) + p. Suppose 4*o - 20 = -3*x + 2*x, 4*x + b = 2*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164020233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33412693, 133650765, 300714219, 534603055, 835317273?\n\"Answer: 33412691*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66*(-56)\/(-48)*26*64\/1456?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 1268 - 152. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6 + 2 + 4 + 9*l + 5. What is the units digit of k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133 and 0.4.\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 4*i + 5. Determine d(4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -993, -93350 in descending order.\nAnswer: 3, -993, -93350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435818 is divided by 86818?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 7\/(7\/(-150)). Suppose -3*t = -4*g + u, 0 = 2*g + g + t - 110. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 + 0*a**5 - 2*a**5 + (-2*a**5 + 2*a**5 + 3*a**5 + (-3*a**2 + 3*a**2 + 2*a**5)*(0 + 4 - 2))*(3 - 5 + 1 + (3 - 1 - 1)*(1 + 4 - 6)).\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f = -20. What is the biggest value in f, -0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20141?\nAnswer: 11, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 84 + 70 = -4*k - 2*v, 0 = 11*v + 33 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -562.9999638 - -563. What is t rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -88*m**2 - m - 1. Let l be f(-1). Let o be 2\/(-10) + (-13)\/(5070\/l). Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22406*j - 268956. What is g(-12)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-12)\/4)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1484 + 4261. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a4a617 (base 12) in base 15?\nAnswer: 362387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*c**2*o**2*t - 94*c**2*o*t - c**2*t - c*o**2*t + 2*o**2*t wrt o?\nAnswer: -284*c**2*t - 2*c*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4579957 is divided by 2951.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.8, 2\/211 in ascending order.\nAnswer: 2\/211, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95ea (base 16) to base 2.\nAnswer: 1001010111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 14\/(-10))\/(1608\/(-1340)). Let a be (-2)\/(-3) - 40\/42. Let q = -16 - -50\/3. What is the closest to q in d, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/92 + 145\/644. Suppose -u + 0*u - 2*o = 5, -5 = 5*u + 5*o. Calculate the common denominator of a and (-85)\/18 - (u - 5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4)*(-2)\/6. Let y = 0.2 + -0.16. Let j = -0.26 - y. What is the third smallest value in j, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/6307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onatatntaott. Give prob of picking 2 o and 1 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 244.6983 microseconds?\nAnswer: 0.000004078305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(396)*-2 - sqrt(396)).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:29 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 6353478.\nAnswer: 50827824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 10*d - 1. Let a be b(-7). Let p = -27 + a. Suppose r - 12 = -3*r, -2*u + r + 1 = p. Put 6, u, 3 in decreasing order.\nAnswer: 6, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = -2*c + 4109. Suppose -k + 54 = -5*p - 340, 3*p = -5*k + c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 38 + 10. Suppose 0 = 2*d + 2*h - m, -4*h + 0 = -16. Solve -u + d = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14.91? (a) 5 (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-27) + 23450\/(-63). Suppose 0*q = -2*q - 2, -5*q = -4*c + 17. Does 10 divide (-1)\/c - r\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let k = d + -2. Suppose 0*a + a = 0. Solve 3*f + f - 3*v + 15 = k, -4*f + 5*v - 25 = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 330 = -2. Let s = u + -51. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 21*q**2 + 45*q - 1570. Calculate p(24).\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.6857019 to two dps.\nAnswer: 266.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/17, -1, 2, -4.0568.\nAnswer: -4.0568, -1, -10\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 148\/6 + (-4)\/6. Solve -5*h + 2*x = g, -5*h - 4*x + 2*x - 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4\/7, 3\/2, 3 in ascending order.\nAnswer: -4\/7, 3\/2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*36\/(-84)*7. Let w(t) = -t - 3. Let x(s) = -2. Let v be ((-4)\/10)\/(1\/(-5)). What is v*w(l) + z*x(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiaq when four letters picked without replacement from {a: 6, i: 1, b: 9, q: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 75 + 21 = -20*s - 3*o, -4*s + 4*o = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n - 4*n + n)*(-77968*n + 77968*n + 2216*n**2) to the form m*n**2 + f*n**3 + t*n + z and give f.\nAnswer: 2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 15. Solve -5*y - 26 + q = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + w**4\/4 - w**3\/6 + 3*w**2. Let v be d(-7). Solve -p + 1 = v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -182.9989974. Let h = 0.001 + d. What is h rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (266\/4)\/((-1278)\/(-4)). Let q = -1\/71 - c. Let u(b) = b**3 + 4*b**2 + b + 3. Let p be u(-4). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -609529.586 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000290936 rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - (-5)\/(-4). Let p = 0.6 + -0.3. Let t(f) = -f**3 - 3*f**2 + 88*f - 6. Let r be t(-11). What is the closest to n in p, r, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 2*w**3 - 8*w**3 + 16*w**2 - 24*w**2.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 not equal to -413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 35 = -37. Let v be ((-30)\/j)\/((-2)\/(-8)). Put 1, -2, v in increasing order.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 3276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = f + 38*b - 36*b, -2*f + 12 = 3*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 150a8 (base 11) to base 2\nAnswer: 101001110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*y**4 - 2*y**2 + 105*y + 2 wrt y?\nAnswer: 192*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -2?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -b - 90. Let h = -618\/5 - b. Sort -6, -0.2, h in decreasing order.\nAnswer: -0.2, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326 and 45314?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7548093um to meters.\nAnswer: 0.0000007548093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 1, -708 in decreasing order.\nAnswer: 13, 1, -2, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38475 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45779852 and 6?\nAnswer: 274679112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 550 and 8264?\nAnswer: 2272600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3365, 1, 4, -2, 6 in increasing order.\nAnswer: -2, 1, 4, 6, 3365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*s + 8 = 4*g, -4 = 2*s. Let k be 3*(g - 26\/12). Let r be ((-1)\/2)\/((-2)\/(-8)). What is the closest to 2\/5 in r, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaiadgj. Give prob of picking 1 i, 1 j, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-2)\/4*(-560)\/(-21). Suppose -106 + m = -f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1782 + -558. Suppose -3*r = 2*i - 918, -4*r + 6*i - 2*i = -b. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386451 is divided by 298.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w - 40*w - 47*w + 7*w to the form g + b*w and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191 - -1339\/7. Let g = -8.5 - -9.2. Let i = g + -5.7. What is the closest to 2 in 0.3, i, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -25. Suppose -5*g + 34 + 206 = j. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/25 (b) -0.1 (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -203, -210, -219, -230, -243, -258?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19127*u**3 + 3 + 38188*u**3 - 19139*u**3)*(1 + 1 - 4).\nAnswer: 156*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 5 - (-1 + 9 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q. Let z(u) = -u**2 - 6. Let n(j) = -1 + 1472*j - 1472*j - j**2. Let s(y) = -6*n(y) + z(y). What is s(p(i))?\nAnswer: 2205*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198066752 divided by 464.\nAnswer: 426868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001101 (base 3) in base 2?\nAnswer: 101110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k - 2*i + 8, 5*k - 16 = -4*i. What is the hundreds digit of (13 - 8) + (k - -531)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 3*x**2 + 6*x - 5. Let d(m) = 4*m**3 + 10*m**2 - 19*m + 16. Let s(g) = 2*d(g) + 7*o(g). What is the least common multiple of 10 and s(2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*h**2 + 46*h**2 - 18867*h**3 + 60*h**2.\nAnswer: -18867*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 5)*(-3 - 1 - 2)*(-26*h**2 - 121 + 121 + (1 + 1 - 1)*(h**2 + 2 - 2)) to the form n*h**2 + a + t*h and give n.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.8 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-21))\/((-3)\/(-21)). Suppose l*d - 39 = 3*d. Suppose 0*g = -4*g + 20. What is the remainder when d is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {z: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w + 0 + 12*w**2 - 1\/60*w**4 - 1\/150*w**5 + 0*w**3. Find u such that a(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 107 - 74. Suppose 4 = -2*x + 10. What is the greatest common factor of w and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 83 from -0.82.\nAnswer: -83.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/386 and -139\/114.\nAnswer: 22002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3 + 4 - 7*y + 11*y**2 - 12*y**2 + 2*y**2. Let h be o(4). Does 33 divide -6*(2 - h\/(-2))*55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -62 - 82. Suppose -g - 2 = -w*s + 7*s, 4*g + 8 = 0. Find o, given that 1\/11*o**2 + s - 6\/11*o = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8745 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -945*x**4\/4 - 5*x**3\/3 - 15*x**2\/2 - 8*x. Let w be m(-13). Round w to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s = -49*s + 234 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 15. Let r(v) = -3*v - 7. Let k be 22\/(-5) - (-4)\/10. Let b(w) = k*j(w) - 9*r(w). Suppose 2*t = 3*p + 3, 2*t + 4*p + 1 = 25. Give b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**6\/3 + 14*g**5\/5 + 413*g**3\/3 + 504. What is the third derivative of p(u) wrt u?\nAnswer: 240*u**2 + 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 417 + 57. Let d = 80 - y. Solve 3*k - 4*k = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**3 - 376*u**2 + 1796*u - 1424 = 0.\nAnswer: 1, 4, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, 1\/6, 73, -5, -2\/11, 1 in increasing order.\nAnswer: -5, -2\/11, 1\/6, 6\/19, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 10. Let q be y(-9). Let v = 2738 + -2734. Solve -3*f - v = -q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -594, -2\/5, -1, -1\/12, -0.08 in ascending order.\nAnswer: -594, -1, -2\/5, -1\/12, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 6 + (-2 + 4 - 1)*(-4 - 2 + 7))*(-19*d + 28*d - 10*d) to c + g*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, s: 4, k: 2, v: 1}. What is prob of sequence vki?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.893 and -0.1.\nAnswer: -0.1893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194.8 - 186. Let n = -3.8 + q. Let k = 1 + -1.3. Which is the biggest value? (a) n (b) k (c) -3 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -20*z**3 + z**2 - 5*z - 152. Let a(h) = -4*h**3 - 2*h - 5. What is 2*a(m) - b(m)?\nAnswer: 12*m**3 - m**2 + m + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 407052, 407057, 407066, 407079, 407096, 407117, 407142?\n\"Answer: 2*a**2 - a + 407051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**2 + 6*g - 88*g**3 + 89*g**3 - 4*g**2. Let x be n(-4). Suppose x*h - 4*h = 0. Solve -v - 6 = 4*t, t - 3*v - v + 10 = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + 12\/(-1). Let u(s) = -s**2 - 7*s + 8. Let w be u(m). Let q be w\/(-2) + 8\/4. What is the greatest common divisor of q and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or 487\/5?\nAnswer: 487\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1.34, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 287 = 38*o. What is the remainder when 61 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**5 + 91*p**4 + 71*p - 2 wrt p.\nAnswer: -40*p**3 + 1092*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 9*m**2\/2 - 19*m + 15. Let t be o(7). Suppose -4*v = 4 - t. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -0.2, -0.5, 10, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from rbrbbbxrbbrx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.61 (b) 0.09 (c) 5.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4615041366.\nAnswer: 2, 3, 13, 19, 179, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17198 - 203144 = 686*g + 4218*g - 29086 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112430004?\nAnswer: 2, 7, 39729643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(1\/48))**(-49)\/((c*c**(-3\/5)*c)\/(c*(c*c**(-5\/2))\/c)*c**(-2)*c**(1\/6)) assuming c is positive.\nAnswer: c**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 1*sqrt(500)*-6)**2*3.\nAnswer: -1800*sqrt(5) + 54075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28960, 29575, 30202, 30847, 31516, 32215, 32950?\n\"Answer: v**3 + 608*v + 28351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.22 + -24.24. Which is bigger: f or -2.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2) - -11) + (-64)\/(-4) + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307495857?\nAnswer: 3, 1102498619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20215487 is divided by 62781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:38 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:03 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(72) - sqrt(72)*-2)*-2)**2 - ((-1*sqrt(72) - sqrt(72)) + -1 + sqrt(72))) - (2 + (sqrt(72) - (-4 + sqrt(72)))**2 + (-4 + sqrt(72))**2*4).\nAnswer: 210*sqrt(2) + 7409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2256028 divided by 1128014\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -613 - 10bc6?\nAnswer: -112d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 5*l + 6. Let o be w(6). Suppose -3*y = 2*y + 10. Sort -5, o, y.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12 + 2)*(15*p**2 - 15*p**2 - 37*p**4) + (0*p - 4*p + 6*p)*(-p + 2*p - 3*p)*(-4*p**2 + 0*p**2 + 21*p**2).\nAnswer: 265*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1219671 - -2?\nAnswer: -121966a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + w - 5*w)*(-104*w + 65*w + 87*w)*(1 + 2*w**2 - 1) to the form b + d*w**2 + n*w**3 + a*w**4 + h*w and give a.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600504245 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 77. Let i = -13 - -8. Sort c, i, 0 in decreasing order.\nAnswer: 0, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1089 - -1097. Let a(f) be the first derivative of -75\/8*f**4 + 20*f**5 - 125\/12*f**6 + 0*f + f**2 + t - 2\/3*f**3. Solve a(y) = 0.\nAnswer: -1\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2976405 is divided by 3670?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1007 = z - 770, -3*f - 7074 = -4*z. What are the prime factors of z?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-13)\/(-104)*-8*33\/15\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*l - 156*l + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/((o**2*o)\/o*o))**(-1\/6)\/((o**0\/o)**(-2\/27))**(-43) assuming o is positive.\nAnswer: o**(181\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186.1 - 36.9. Let p = m - -223.005. What is p rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*u - 723 = 0, 5*x - 3*u + 962 = x. Let a = 1578 - x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - 1*-2*sqrt(1584)) + sqrt(1584))**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26271699 and 0.\nAnswer: -26271699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/g)**(7\/3)\/((g**(-11\/5)*g)\/((g\/(g\/((g**(-2\/3)*g)\/g*g)))\/g)) assuming g is positive.\nAnswer: g**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46 + 20 - -26) + (1 - -2). Let b(x) = -x**3 - x**2 - 3*x. Let w(s) = -s**3 + 4*s**3 - s**2 + 3*s**2 + 7*s + 0*s**3. Give y*w(l) + 7*b(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 357 - 339. Suppose z*q - q - 128 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - 28*n + 67*n - 39*n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*v + 32. Calculate the highest common divisor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 9. Let y = i - -1.96. Let m = -1.96 + y. Which is the nearest to m? (a) 2 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 2. Let g be 8 - (1 - (-2)\/2). Let b be (-1)\/6 - (-13)\/g. Determine v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 479809 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1680848, -1680849, -1680850?\nAnswer: -1680851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**2 + 2*a - 3. Calculate g(3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 459a + 7?\nAnswer: 45a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 1.5452.\nAnswer: 0.030904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3\/5 + 28233*x**2\/5 - 88566921*x\/5 + 92611477059\/5 = 0.\nAnswer: 3137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75354.6 centuries?\nAnswer: 753546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 2) + (0 - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-64))\/(1554\/(-252) + -1 + 7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -75*r**3 + 124870*r**2 - 116495*r + 24960 = 0.\nAnswer: 1\/3, 3\/5, 1664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 19 = -4*v - 85, 2*v - 102 = -4*k. Suppose -3*g = 5*n - 4*g + 113, -5*n - 5*g = 125. Let f = k + n. Solve -2*c + f*c = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13984, -28013, -42064, -56137, -70232, -84349?\nAnswer: -98488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1 - (-30)\/10) + -1. Solve -5 = b*o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/7 + 17272*m\/7 + 4936 = 0?\nAnswer: -2, 8638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-380)\/90)\/(-19)*36\/(-192).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 2*f**2 - 3*f. Let c be w(-2). Suppose 3*a + 1 = j, c*a = 2*j + 2*a - 2. Let x(z) = 53*z**3 + 3*z - 2. What are the prime factors of x(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000058554 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -192, 3, -1 in descending order.\nAnswer: 43, 3, -1, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 2, h: 1, s: 1, g: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67337 times -2?\nAnswer: -134674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -10932514.\nAnswer: 5\/10932514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10241582 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (18 - 28) - (-7 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let u be w\/4 - 51\/(-6). Is 12 a factor of 6\/u - (-43)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24663 divided by 2409.\nAnswer: -8221\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, -3 in increasing order.\nAnswer: -27, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 35*i - 38. What is x(-13)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 42 (b) -3 (c) -0.4 (d) -241 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*v - 32, -4*o - 21 = -v - 51. Suppose 5*t + 4*k = -10, -7*t - 22 = -o*t + 4*k. Solve -t*y = -y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:53 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -2\/5, -43, 0.4, 1, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = -2143 + 1951 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((4 + sqrt(6)\/sqrt(2) + 1)*-6)**2 + (sqrt(243)\/sqrt(9))\/sqrt(9) + sqrt(3) + (sqrt(30)\/sqrt(2))\/sqrt(5)).\nAnswer: -5040 - 1815*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {v: 1, b: 5, q: 1, n: 2, f: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*x - 20, -3*u + 38 + 2 = 4*x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 655 divided by -5.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/42 - 34*r**3\/63 - 2*r**2\/3 + 64*r\/21 - 311. Let d(v) = 0. Calculate v.\nAnswer: -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 95*b.\nAnswer: -95*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (8 + 9042\/(-242)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 4*u - 2*i - 286, -220 = -2*u + 5*i. Suppose 2*c = -c + u. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -d - p, -d = -0*d + 5*p - 86. Calculate the smallest common multiple of 8 and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 3*a + a)*(-21 + 21 - 15*a) + 0*a**2 + 2*a**2 - a**2.\nAnswer: 91*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/79176 and 75\/686192.\nAnswer: 2058576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19195*y + 19585*y + 780 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.975 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16385, -16378, -16365, -16346, -16321, -16290, -16253?\n\"Answer: 3*o**2 - 2*o - 16386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y\/y**(2\/33)*y)))\/(y**28*y)*y\/(y*y*y\/(y**(1\/2)*y*y))*y**(-2\/9)*y assuming y is positive.\nAnswer: y**(-4709\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:52 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*z**2 - 5*z**2 + 5*z**3 - 4*z**3 to the form a + h*z**3 + b*z**2 + q*z and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1793 + 1792. What is the nearest to 1 in -47, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934387746.\nAnswer: 2, 3, 139, 1120369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1 + -1) + (-50 - -46)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94032791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4191357 rounded to 2 dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1020 = -2*v. Suppose 4*t = 0, 2*i - 4*t = -0*i + v. What is the remainder when i is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 15. Let z be y(-5). Suppose 0 = -5*v - 2*s + 130, -s + z*s + 26 = v. Solve -5*m - 6 = -v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58699791.\nAnswer: 3, 6522199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -12. Suppose 0 = 9*o + 19*o - 252. Calculate the lowest common multiple of w and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.092061 rounded to 2 dps?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1210 + 2126. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -11 - (2 + -2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344157471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -p + m + 2*m, -3*p - 5*m - 2 = 0. Let b(s) = -s**2 + 2*s - s**2 + 0*s. Let q(d) = -4*d**2 - 9*d + 3 + 12*d**2 - 2. Determine p*b(u) - 2*q(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-688)*396*((-8)\/(-18))\/(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + 62c?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - bb5?\nAnswer: -c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) -1 (c) -136 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 4*z - z)*(-4*z + 3*z - z) - 2*z**2 + 4*z**2 + 0*z**2 - 12*z**2 + 5*z**2 - 20*z**2 to p + t*z**2 + l*z and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 8:49 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -48*p**2. Let l(f) = 55*f**2 + 275*f. Let z(u) = 54*u**2 + 330*u. Let y(j) = -6*l(j) + 5*z(j). Give h(y(s)).\nAnswer: -172800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 979148*b**2\/3 - 76373560*b\/3 + 416 = 0?\nAnswer: 4\/244787, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -35. Suppose 0 = -5*j + m, -65 = -5*c + j + 17. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 7*a - 100 + 146, -2*b - 2*a = 2*b - 28 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (-36)\/8*3. Let d(p) = 1 + 2*p + 1 - 8*p**3 + 21*p**3. Let i be d(-1). Is i at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 47. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(17))**2 - ((((sqrt(119) - sqrt(119)*-1)\/sqrt(7))**2 - sqrt(17)) + sqrt(17)).\nAnswer: -42 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40063, 40850, 41635, 42418?\n\"Answer: -f**2 + 790*f + 39274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 19 = 14, 2*n - 3*x = 1203. Suppose n*t - 12 = 594*t. Let b = -2 + 2. Solve b = -c - t - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4439, 8828, 13221, 17618?\n\"Answer: 2*w**2 + 4383*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22632 and 18216?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - d**2 + 4*d - 1. What is x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*p**4 - 68*p + 43*p + 33*p wrt p?\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5562 divided by -1?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*i**3 - 10*i**2 - 143464*i + 150707580 wrt i.\nAnswer: 15*i**2 - 20*i - 143464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-114)\/8)\/(3\/(-14)). Let i = r - 68. Suppose 11*p = 4 + 7. Which is the nearest to 0? (a) i (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.076123304 to 3 decimal places.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - -13 - 13) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6350, 2 in increasing order.\nAnswer: 2, 7, 6350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-8) + 10\/4. Let l(j) = -v*j**2 + 0*j**2 + j**2. Let b(m) = -2*m**2. Give l(b(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*b + 30, b + 15 = -0*l - l. Let w be ((-32)\/b)\/(-1)*(-275)\/(-66). Is w != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u**2 + 2*u + 3. Let m be z(-1). Let b = m - -9. Suppose -3\/5 + 9\/5*a + 3\/5*a**3 - 9\/5*a**b = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 39 + 18 = y, 202*f + y = 1410 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, d: 1, r: 6, v: 1, n: 4, w: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 3*b + 2*b - 10*b - b**2. Calculate w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41985023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.94587.\nAnswer: 4.72935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4323*-0.00966\nAnswer: 41.76018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -116, -401, -956, -1871, -3236, -5141?\nAnswer: -7676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {y: 3, z: 3, b: 9, m: 1, o: 2, c: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-4 - -3) - ((-23 - -57) + -38).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -76?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*p + 3*p = -27, -15 = -5*t + 2*p. Let c(g) = g + 1. Let u(z) = z**2 - 6*z - 3. Let d(y) = 4*c(y) + u(y). Determine d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1216 + -1219. Which is the third smallest value? (a) 5 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1164, 2339, 3514, 4689, 5864?\nAnswer: 7039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2041 and 78388687.\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 141 in descending order.\nAnswer: 141, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21054 (base 6) to base 7.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 - 9*n**3 - 10*n**3 + 0*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 279*z**2 + 180*z - 5 wrt z?\nAnswer: -12*z - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/579343 and 34\/306711.\nAnswer: 5214087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9277, 9282, 9291, 9304, 9321?\n\"Answer: 2*y**2 - y + 9276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7331?\nAnswer: 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2596333443 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 3*p + 5. Let g be c(-2). Suppose 5 = t - a, 5*t - g*a - 9 = 3*t. Calculate the lowest common multiple of 9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/90)\/(6\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/70 and 25\/1988?\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2 - 2203*r - 734 = 0.\nAnswer: -734, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1496467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/7)\/d)\/d**(6\/5) assuming d is positive.\nAnswer: d**(-62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69820, 279401, 628740, 1117837, 1746692?\nAnswer: 2515305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Suppose i*h = -h + 11. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -14. Let i = -9 + l. Suppose -i*z + 2*w = -77, 0 = -z + 3*z - 5*w - 55. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 19 - (3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 336\/(-16)) + 35?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2069879868 a multiple of 8718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 0*n + 2*n)*(-140 + 63 - 7*n + 58) in the form a + z*n + s*n**2 and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*k**2 + 33*k**2 + 94*k**2 + (3*k + 2*k - 3*k)*(3 - k - 3) + 3*k**2 + 9*k**2 + 0*k**2 to the form o*k + c*k**2 + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 51. Let p = 0 + 1. Calculate the common denominator of -53\/20 and p - (0 - 123\/t).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 36, 2, -6, 5 in decreasing order.\nAnswer: 54, 36, 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Let n = 5 + -2. Suppose 0*f - n*f = 0. Is f at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1750335, 1750343, 1750351, 1750359, 1750367, 1750375?\n\"Answer: 8*u + 1750327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 14*z - 28. Let y be x(-11). Suppose 4*o + y*i + 14 = 0, 0*o + 2*o = i. Let j(f) = -8*f**2 + f + 2. Calculate j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5816 + -5755 + -73*1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s + 17. Let m be j(-5). Let a be 5\/((-375)\/(-35))*m. Let w = a + 1147\/30. Find the common denominator of 11\/27 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 57*k + 157464 = -62686. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/22*(270\/275 + (-34)\/187)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -189 and -1515\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3612503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k**2 + 9*k**2 + 24*k**2 + 51*k**2.\nAnswer: 41*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let i(z) be the first derivative of 1623*z**2\/2 - 774. Determine i(l(v)).\nAnswer: -3246*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2, 2 in descending order.\nAnswer: 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 13}. Give prob of sequence uxux.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6066, -2516, 1034?\n\"Answer: 3550*o - 9616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34279 is divided by 5694?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8164 - 8163.986662. What is y rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25416 - 145?\nAnswer: -25563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 31*l + 34. Let m be q(32). Calculate the lowest common multiple of (0 - 1) + ((-10)\/m - -50) and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -130 in descending order.\nAnswer: -2, -4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*u + 8 = 5*b, -3*u - b = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkyyqeypk. Give prob of picking 1 k and 1 p.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -31. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 2. Let s be (-2 - -1)*(-25 - -2). Let g = -22 + s. Is r > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411253 (base 6) in base 7?\nAnswer: -450264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -8\/691701 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42170 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 + 3*v - 1. Let u be z(-2). Let q be ((-76)\/(-20) - 5)\/(u\/(-30)). Solve -3 = q*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 5*y**7\/63 - y**6\/15 - 107*y**5\/30 - 37*y**4\/18 + 34*y**3\/3 + 40*y**2\/3 - 916*y. Find z such that n(z) = 0.\nAnswer: -4, -1, -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 108*g**2 - 384*g - 368.\nAnswer: -4*(g + 2)**2*(g + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15a (base 15) to base 5\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(-23))\/s)\/(s\/s**(-13\/6)) assuming s is positive.\nAnswer: s**(-151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 421, -2\/9, -0.5, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 130. Let w(o) = -35*o + 106. Let x be w(4). Let y = x - v. Which is greater: 2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5441*o + 2. Let m be s(2). Let h = m + -108953\/10. What is the common denominator of 2\/(-12)*1869\/28 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 8*f + 4, -3766754*a = -3766751*a - f - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjobjxbiojbx. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u - 3*v, -4*v + 7 + 21 = 4*u. Suppose -3*l = -4*l + u. Let z be -2 + (-2)\/(-10)*l. Which is the second biggest value? (a) -1 (b) z (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5833?\nAnswer: 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 8*t - t + 5*w + 68 = 7*t, t - w = 20 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {n: 5, y: 3, g: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16997 + -16939. What is the remainder when (-464)\/(-2) + 3 + -5 is divided by l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 145\/(-10) + 8 + 2\/12. Which is bigger: y or -16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -313, -466?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 10. Let i be c(7). Let p = i + 9. Suppose 0 = u - 12 - p. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h**3 - 3*h**3 - 3*h**3)*(0 + 0 + 2*h) as z*h**3 + j*h**4 + k + a*h**2 + q*h and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3974, 0.5, 1.3 in descending order.\nAnswer: 7, 1.3, 0.5, -3974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Let c(b) = 6517*b. Calculate f(c(l)).\nAnswer: -84942578*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11.9. Let w = l - 5. Let f = 0 - w. What is the third smallest value in f, -3, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(76) + 1)) + sqrt(152)\/(sqrt(32)\/sqrt(4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3483112 is divided by 4477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1034 + 1031. Let o(a) = 2*a + 1. Let r be o(1). Sort -0.3, r, -1\/5, h in ascending order.\nAnswer: h, -0.3, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2123, 8494, 19113, 33980, 53095, 76458, 104069?\nAnswer: 135928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(sqrt(567) + 1))*1.\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-3))\/(-4)*6\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*5324.\nAnswer: -532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2 + u - 2. Suppose o + 10 = -4*o. What is the units digit of h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4773143, 4773148, 4773153, 4773158?\n\"Answer: 5*w + 4773138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, d: 3}. Give prob of sequence dmdd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) 0.03 (c) -0.118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2 - 2*4. Let l be 298\/t + 1\/(-5). What are the prime factors of (3\/(-5))\/(2\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let w(h) = -h. Suppose 0*q - 5*q - d - 4 = 0, -4*q - d - 4 = 0. Suppose 3*x = -x + 12. Let o = x - q. What is o*a(m) - 5*w(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -9. Let r be -2*j\/(-4) + -2. Let z be 1\/r*(1 + -2). Sort z, -2, 2 in descending order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -5. Let t = 235 - 151. Suppose 0 = 4*f - 12 - t. Solve -5 = -4*z - 3*o - 22, -b*z = -4*o + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -745425088 > -745425090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:57 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.98342425 rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from rvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 156, 337, 518, 699?\n\"Answer: 181*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 6?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1424610 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 757*l - 759*l = 44, l = 11*a + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3022, 5, 0, 1, -6, 3 in increasing order.\nAnswer: -3022, -6, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 6. Let t(l) = -l**2 + 8*l - 7. Let p be t(8). Let o be m(p). Is -0.2 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = x + 369. Solve -v - 2 + 5 = x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 288 = -0*r. Let b = r - -58. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1585*w**3 + 11*w**2 - 88*w - 3895. Let o(t) = 317*t**3 + 2*t**2 - 16*t - 779. Let c(g) = -2*a(g) + 11*o(g). Find the first derivative of c(d) wrt d.\nAnswer: 951*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) + -1)**2 + sqrt(3) + 1 + sqrt(3) + ((sqrt(42)*-1)\/sqrt(7))\/sqrt(2).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256110 + -142715. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(3\/(-9)). Let b be (w*5)\/(2\/(-4)). Let a be b\/(-40) + (-6)\/(-8). Let n(f) = -3*f - 1. Calculate n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1003728 or 1003812?\nAnswer: 1003812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -1\/4*o**4 - o**3 - 2*o - 3*o**2 - 2. What is the remainder when h(-4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*5*sqrt(252)*-2*-3)**2.\nAnswer: 58060800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -4*a, 0*a = -5*r + 4*a + 22. Suppose 4*t + 14 = 22. Solve t*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396984 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 - 69*s**2 + 245*s - 1. Calculate w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 3*(sqrt(76) + -2 + sqrt(76)) + (sqrt(76) - (0 + -2 + sqrt(76))) + -1*(-2 + 1*sqrt(76) + sqrt(76) + sqrt(76)))*-1 + 0)**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1134 and 3078?\nAnswer: 21546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -204, -407, -606, -801, -992, -1179?\n\"Answer: 2*b**2 - 209*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**2 + 237*o - 999. Calculate a(17).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1794792 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2376 and -17\/4095432.\nAnswer: 12286296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 17 - 2. Suppose -b - 5*o = -4*b - 6, z*b - 18 = -o. Solve -5 + b = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/13)\/(-4))\/(3\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/118400 and 163\/30440640.\nAnswer: 304406400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147203 is divided by 1751?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 - q + 1. Let n(z) = 2*z**3 + 3*z**2 - 3*z - 6. Let g(b) = -n(b) + 3*o(b). Differentiate g(d) wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -2\/87, 4.12, -75, -1, -0.5?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/6788165 (b) -0.2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 57*p - 26. Give m(2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1373 - 13729\/10. Let m(n) be the second derivative of n**4 + b*n**5 + 0 + 0*n**2 + 3*n**3 + 9*n. Factor m(j).\nAnswer: 2*j*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -846, -1986, -3572, -5598, -8058, -10946?\nAnswer: -14256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -119. What is the smallest common multiple of 5 and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(-2*(sqrt(2) + sqrt(2)*1)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.13942 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewcbewdewcbedcecewff. What is prob of sequence eew?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 512 + 802 = 306. Solve 2*k - 6*k = -3*n + p, 3*k = 3*n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -6. Let t = c + 58. Suppose 2*f = y + 5, 4*f - t = -4*y + 14. Solve -4*d - f = 0, -5*d + 9 = 4*a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*f + 5*j - 4, 0 = -f + 3*j + 22. What is the highest common factor of 385 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 5, n: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) + (-61898)\/(-8). Suppose p + y - 2238 = 0. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-16))\/1)\/(21\/(-42)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(69 - 300\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(2 + 1 + 0)*(0 - 3*m + 0)*(-41*m**3 + 35*m**3 + 62*m**3) to the form f*m**3 + l + s*m + b*m**4 + c*m**2 and give b.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*l + 10. Suppose l*c - 89 + 14 = 0. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1*-1)\/1)\/1. Let g(w) = w**2 + 4*w - 7. Let r be g(-6). Let q be 3\/r - 14\/(-35). Put q, j, 4 in decreasing order.\nAnswer: 4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99155, -99187, -99241, -99317?\nAnswer: -99415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5153 is divided by 303.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 9481972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 34\/3, -3285, 5\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18)\/sqrt(6) + sqrt(3)*2 + -3.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14904, -14984, -15064, -15144, -15224?\nAnswer: -15304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1740 = -5*l - 5*n, -7683*l + 7684*l = 2*n + 333. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 + 8*w + 7. Let m be q(-7). Suppose -2*f = -m*f. Let d(v) = -v**2 - v + 7. Determine d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 4*h**2 + 1 - 5*h + 3*h in the form k + b*h**2 + n*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -99. What is the biggest value in 4, 3, r, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7255 is divided by 80?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/11729?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35305720.\nAnswer: 2, 5, 73, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*y + 207*y - 9 = 0, 5*d - 5*y - 10 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 10192*m**2 - 4610320*m + 2552035200.\nAnswer: -4*(m - 312)*(m + 1430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 7*u**2. Let h be d(-7). Suppose -12*o + 19*o - 14 = h. Factor -4 - 1\/4*g**2 - o*g.\nAnswer: -(g + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2) + -136 + 2 + -2. What is the common denominator of (5 + -6)*-1 + h\/(-20) and -47\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 269236 and -4.4892.\nAnswer: 269231.5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1111845 and 40845.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*o - 26 = -3*u, 4*u - 2*o = 22. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*u - 80 + 4234 = 0, -2*c + 2087 = -3*u. Let f = 7236\/7 - c. Calculate the common denominator of (4 - (380\/8)\/(-5)) + 3 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - o**3 - 5*o**2 + (-o - 4*o + o)*(3*o - 3*o + o**2) + (-2*o - o + 2*o)*(-o**2 - 6*o**2 + 3*o**2) as n*o**3 + g*o + k + b*o**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -1. Let j be (1 + -3)*(-16)\/f. Let l = 19 + j. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 35 = 6*f. Let v(m) = m - 4. Let o be v(f). Let j be (o\/18)\/(6\/8). What is the second biggest value in 0, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115098.2 months to centuries.\nAnswer: 929.2485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 8. Let y be a(13). Suppose y*j = 2*q - 97, 2*j - 3*j = -5*q + 185. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/145 and -35\/4.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(12\/2)\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*l + 14, 4*l + 0*l + 3*w - 27 = 0. Suppose r + l = 13. Let h(a) = a**3 - 8*a**2 + 8*a + 1. Is h(r) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 40. What is i(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 582903036.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*w + 5, -17*n - w = -21*n + 29. Solve n = -5*f + 4*a, 5*a - 17 = -5*f + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 1. Let d be a(-3). Calculate the greatest common divisor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039523818.\nAnswer: 2, 67, 15220327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * 0.3.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -181.2 and -17811278?\nAnswer: 17811096.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - b + 43 = -3*c, 5*c - 112 = -4*b. What is the remainder when 54 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/336*12)\/((-42)\/372).\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9020 smaller than 9005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w**5\/7 + 2962*w**4\/7 + 410*w**3 - 3170*w**2\/7 - 2812*w\/7 + 208\/7 = 0. Calculate w.\nAnswer: -1, 2\/29, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2019422 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -43*v + 209 + 347 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -105.02. Let f = p + -0.02. Suppose 5*s = 2*s + 3. Which is the closest to -2\/7? (a) s (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzkz. Give prob of sequence kzkz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t. Let m(c) = 4*c + 4. Let p = -75 + 81. Let h(y) = 1. Let l(i) = p*h(i) - m(i). Let v(j) = 1. Let z(f) = -3*l(f) + 6*v(f). Calculate z(x(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -427 + -2?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21258275481 and -966.\nAnswer: -21258276447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-2) + 1)*(80 - 82). Suppose 5*h = s + 3169, -b*h + 2*s + 1265 = -s. What are the prime factors of h?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Find the third derivative of t*b**6 - b**2 + b**5 + b**5 - 2*b**5 wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 527\/4 + -133. Which is the third smallest value? (a) -0.04 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/4 - 5*l**3\/3 - 9*l**2\/2 + l - 2. Calculate the remainder when x(7) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 16*n**2 - 25*n - 1102. What is p(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -17. Let g(f) = -f**3 + 4*f. Let y be g(-3). Let r = q + y. What is the highest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12537 and 51999894?\nAnswer: 363999258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -25. Let w(r) = -5*r + 18. What is the units digit of w(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w, 12*p - 5*w - 5533 = 16*p. What is p rounded to the nearest ten?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2288 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 25404317?\nAnswer: 25404312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73580, -147187, -220794?\nAnswer: -294401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 18. Suppose -9*d = -v*d. Suppose 0 = -5*l - d*l + 5. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(-4*h + 4*h + 2*h) + 10*h + 6*h - h)*(-3*h + 2*h - 2*h)*(-6*h + h**3 + 6*h).\nAnswer: -57*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3*301\/1204)\/(112\/(-105)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23768 + -12?\nAnswer: -23781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 124859525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 13*j**2 + j**2 - 5*j**2 - 5*j**2 + 3*j**2 + j**2 + (j + 6*j - 5*j)*(2*j - 4*j + 3*j) as k*j**2 + n*j + z and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266206*r**3*z**3 - r**2*z**3 - 9*r*z**3 - 966*r*z wrt r?\nAnswer: -1597236*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3499661.\nAnswer: 11, 71, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.285542 weeks to hours.\nAnswer: 887.971056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (11 - ((2 + 2 + -13 - -7) + -22))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in -2\/7, 17, -70, 1\/8, 0.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -712, -950, -1358, -1942, -2708, -3662?\n\"Answer: -s**3 - 79*s**2 + 6*s - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055351541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/6*(-18)\/4. Let h(w) = -w - 7. Let t be h(-5). Let s be p\/(3 - t\/(-2)). Solve -5 - 1 = s*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 e, and 1 r when four letters picked without replacement from {o: 6, r: 5, y: 1, u: 3, e: 2}.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/52 or -62731?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -5. Let d = z + -3. Suppose -2*r - r + d = 0. Calculate the lowest common multiple of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584610 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 75722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/7 + 381928*j**2\/7 + 381932*j\/7.\nAnswer: -4*j*(j - 95483)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 6*o**2 - 15*o + 4. Let u(k) = k**3 + 5*k**2 + 15*k - 3. Calculate 5*u(m) + 4*v(m).\nAnswer: m**3 + m**2 + 15*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/9)))**10\/(o**(-1\/4))**(1\/26) assuming o is positive.\nAnswer: o**(2089\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9743, 19485, 29227, 38969, 48711, 58453?\n\"Answer: 9742*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 - -8a?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/147 - (-2 + 8\/3). Sort -3, -20, z in increasing order.\nAnswer: -20, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 1092.\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 349917642 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8088 is divided by 4218.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 64*j + 273. Let i be ((-6)\/(54\/15))\/(3\/(-18)). Let k be x(i). Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/25 - 67\/325. Let a = -2.59 - -2.79. Let n = -1.8 - a. Sort n, -3, 1, k.\nAnswer: -3, n, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*p*q - 7*k*p - 52*k*q - p*q - 32*p + 7*q wrt q?\nAnswer: 2*k*p - 52*k - p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 2}. What is prob of picking 2 g?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m - 269. Let n be l(19). Suppose 0 = -0*s - 5*s + 5. Suppose q - 2 = -s. Sort n, -1, q in descending order.\nAnswer: q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*u + 4*u + 256509. List the prime factors of u.\nAnswer: 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 197\/(-27) - (-66 + (1357\/(-23) - -118))?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -331*f. Let k(h) = -4*h + 613516. What is k(o(y))?\nAnswer: 1324*y + 613516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 29. Let z be n(8). What is the remainder when 67 is divided by (z + 7 - 0)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*p - 2*p. Let d = p - -12. Solve -s - 2 = -c - 4*c, 2*c + d*s = -10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 236 - 172 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190419971*m**2*n**2 + 5*m**2*n - 286*m - 2*n - 43 wrt n?\nAnswer: 380839942*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181345003.\nAnswer: 7, 131, 197759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2180055 divided by -244\nAnswer: 2180055\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/11 + 6*q**4\/11 + 288*q**3\/11 + 1016*q**2\/11 + 960*q\/11 = 0.\nAnswer: -8, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6567630786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - -3) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*g - 6, m - 4*g + 8 = -2*m. Solve 4*a - 3*s = -m*s - 4, a - 12 = 4*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -409.64 and 7609302.\nAnswer: 7608892.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 26\/19, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l*l**(16\/5))\/l)\/l)))\/(l\/l**(3\/8))*((l*l*l\/(l*l**(-9))*l*l)\/l*l*l)\/(l\/(l\/(l*l**(-29))*l)))**(3\/40) assuming l is positive.\nAnswer: l**(5349\/1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*-10*7\/42. Suppose 3*h = u*h - 22. Which is the closest to -1? (a) 6\/13 (b) -4 (c) 2\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 14408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7906*-173.4.\nAnswer: 1370900.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 + 7364*p**3 - 74044*p**2 - 7364*p + 74040 = 0.\nAnswer: -1851, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = -236. Suppose 0 = -18*p + 22*p - 80. Calculate the remainder when a is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 24*x**2 - 23*x - 5. Let n be p(-23). Let o be (n\/(-492))\/(-5)*712684\/606. Let s = -6\/4141 - o. Find the common denominator of s and 23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4900 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 + 60*u - 26. Let i(o) = 9*o**2 - 82*o + 39. Give -5*i(p) - 7*k(p).\nAnswer: -3*p**2 - 10*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let n(q) = -4*q - 3. Let w(f) = -472*f - 8. Let o(m) = 2*n(m) - w(m). What is o(r(u))?\nAnswer: 928*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3*-1 + (-3 - -10). Suppose -5*v = -o + 13. Which is the closest to 0.1? (a) -0.4 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 + 7*b**4\/3 - 5*b**3 + 44*b**2 - b + 1179. What is v(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2521*k - 134955 - 127611 = 3754*k - 1748*k for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(116 - 19 - 1349*g + 1373*g).\nAnswer: 48*g + 194","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) 0.05 (c) -3 (d) -2\/9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313.6 + -90.4. Let r = f - -408. What is the closest to r in 0.3, -2, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95322015385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 + 8*x. Let q(j) = -2*j**3 - 3*j. Suppose 0 = -4*n + 4. Let f = -7 - n. Calculate f*q(l) - 3*r(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -71.6 * -0.34\nAnswer: 24.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348154339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*(((p**5*p)\/p*p)\/p)\/p*(p**(2\/5)*p)**39 assuming p is positive.\nAnswer: p**(291\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14448 divided by -14\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5566.174 decades to months.\nAnswer: 667940.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53474485 is divided by 8912408.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:21 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(-1\/16))**(-2\/35)\/(((g\/g**(-3\/19))\/g)\/(g\/(g\/g**(-2\/21)*g))) assuming g is positive.\nAnswer: g**(-22793\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12 - ((-3)\/(-4) + (-7201019)\/116)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/6 + 22*k. Let g(z) be the third derivative of 0*z**3 + 0 + 1\/3*z**4 + 0*z - 4*z**2. Give g(f(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -202, -257, -320, -397, -494?\n\"Answer: -n**3 + 2*n**2 - 54*n - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c + 25. What is c rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8003531 - -4?\nAnswer: 8003535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/11 - 794175*v - 8735914 = 0.\nAnswer: -8735914, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -56 + 48\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b + 5. Let x(f) = -381*f - 393*f + 2 - 400*f + 1169*f. What is 4*o(n) - 10*x(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t)**48\/(((t\/(t\/t**(3\/10)))\/t)\/t)**(-2\/51) assuming t is positive.\nAnswer: t**(-2161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.22, 0.2, 3\/5, -2\/23?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*p - 20 = 0, p - 20 = 5*m + 6*p. Is -1\/4 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuwbrsususbrsbuuts. What is prob of sequence uwt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/(162\/24))\/(2\/(-294)) is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Suppose 0 = 5*h + m + 2*m, -3*m = -2*h. Which is the second smallest value? (a) h (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26529912149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 31 + 1 + -3 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1591\/(-59) - ((-1415811)\/(-17051) - 83)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:15 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1611562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -45*k**2 - 2*k + 0*k**5 - 14\/5*k**6 - 2 + 0*k**4 + 0*k**3. What is the derivative of x(f) wrt f?\nAnswer: -336*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*d**2*i**4 - 75*d**2*i**2 + 2*d**2*i - d**2 + 8*d*i**4 + 4*d*i**3 - 2*i**2 wrt i.\nAnswer: 2184*d**2*i + 192*d*i + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5725412 (base 8) to base 3\nAnswer: -2220210201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1937 or 1?\nAnswer: -2\/1937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 p when three letters picked without replacement from {e: 7, m: 4, p: 2}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 205, -2\/11, -6, -71, 0.4 in descending order.\nAnswer: 205, 0.4, -2\/11, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*c - 244 - 17, -c = 3*j - 143. Find the second derivative of 2*w - 11*w**5 - 13*w + j*w**5 - 4*w**5 wrt w.\nAnswer: 680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31603225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 793*z - 4362. Give b(4).\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25760 divided by -10.\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158335 + -1108321\/7. Find s, given that -4\/7*s**2 - q*s + 4 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 5*s**3\/6 + 7*s**2\/2 + 25*s. Let j(l) = -4*l - 6. Let t = -2334 + 2329. Give t*h(q) - 6*j(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*v = -675 + 373. Solve -3*m - 17 = -v*i, -26*i + 4*m + 24 = -23*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n, -j - n = 4*j - 15175. Suppose 0*l - 5*l = -j. List the prime factors of l.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/551, 5, 3198?\nAnswer: 4\/551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*k = 60768 - 41238 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) 2 (c) 1\/2 (d) 5 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3036744, -12146972, -27330688, -48587892, -75918584?\nAnswer: -109322764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2040, -4072, -6098, -8118?\n\"Answer: 3*f**2 - 2041*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 2, i: 2}. Give prob of sequence ii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0*v**3 + 0*v**7 + 0*v**4 - 3*v**2 + 0*v**5 + 1\/1344*v**8 - 1\/480*v**6 + 0 + 0*v. Factor i(t).\nAnswer: t**3*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -198*l + 13. Let p(h) = -6*h + 2. Determine j(r) - 5*p(r).\nAnswer: -168*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7327239?\nAnswer: 3, 2442413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.62 - -0.72. Are -11 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -56*a**3 + 5*a**2 - 3*a + 1. Let j be g(2). Let v = j - -436. What is the lowest common multiple of v and 61?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2445 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 483 and 10.3.\nAnswer: 4974.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y**2 + 251*y + 42. Calculate the smallest common multiple of h(-25) and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000102568703 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18956395.\nAnswer: 5, 19, 37, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139983 is divided by 69906?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -23. Calculate the highest common divisor of c and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2016061 - 0?\nAnswer: -2016061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5 - 16635*v**4 + 397353*v**3 + 877911*v**2 - 397356*v - 861276 = 0. Calculate v.\nAnswer: -2, -1, 1, 26, 5521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 608 - 608.5. Put -2\/9, o, 0.1, -15 in descending order.\nAnswer: 0.1, -2\/9, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 1.6. Let l be 152\/(-238) + (-2)\/(-7). Which is the closest to l? (a) -0.5 (b) -2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from qeeeeqqe.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 260*d**2 - 409629*d + 409629*d + 326 wrt d.\nAnswer: 520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = 0, 5*l + 0*z = 5*z + 230. Suppose l = 2*d - 47. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-16)*1\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -c2?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 21. Let p = -12\/119 - 10\/2261. Put -5, c, p in decreasing order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -a26?\nAnswer: -a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*k - 32, 8*k = -2*z + 5*k + 4. What is the highest common divisor of 48 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 1997525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d - 2940*d**3 - 253*d**3 + 33*d - 4*d**2 + 12*d wrt d.\nAnswer: -19158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546\/(-1092)*(0 - 4)*(2 + (-84)\/38)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453001 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) -8 (b) 1\/3 (c) -0.05 (d) -1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 172, 4, -5 in ascending order.\nAnswer: -5, -4, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1578898 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16500694061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/52, -2\/27, 0.2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1714\/5 + -338. Is 4 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = z - 7 - 8, 0 = 2*z - 4*g + 10. Suppose -z*u = 3*y + 723 + 217, -u = y + 316. Round y to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.505 (b) 0.2 (c) -125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.029 + -8.989. Which is the closest to j? (a) 2 (b) 3 (c) 2\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20001.\nAnswer: 3, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b69 - 0?\nAnswer: -1b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*z - 20, -4*z - 16 = -7*z - 2*l. Let y(x) = x**2 - 11*x - 14. Let i be y(z). Is -41 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 21*i - 15. Let y(k) = -32*k + 23. Determine 7*c(v) + 5*y(v).\nAnswer: -13*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a**2 + 32*a + 1064. Give i(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*t + 88 - 172 + 85)*((2 - 4 + 0)*(3*t - 5*t + t) + (-t + 2*t - 2*t)*(1 - 6 + 3)*(-2 + 1 - 1)).\nAnswer: 46*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/2127 not equal to -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose v - w*v + 31 = 0. Differentiate -30 + 8*i**2 - v + 64 with respect to i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36588 is divided by 2853.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 20*j.\nAnswer: -2*j*(j - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654477?\nAnswer: 3, 269, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeottdvv. What is prob of picking 1 v and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1578a1 (base 14) to base 5\nAnswer: -143011241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 838132876 to the power of 1\/3, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**3 + 4*b**2 - 3*b**3 + 2*b**3)*(-b - 3*b + 5*b) to r + m*b + x*b**2 + k*b**4 + q*b**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5683, 12465, 19225, 25951, 32631, 39253, 45805?\nAnswer: 52275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 13. Let s be v(3). What is the second derivative of 129*x**s - 48*x**4 - 33*x - 61*x**4 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/540 and -71\/135790920?\nAnswer: 407372760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8415437.999965 + -8415457. Let w = 18.65 + 0.35. Let b = z + w. What is b rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -17. Suppose -4*o = 3*h - 2*o - 1, k = 5*h + o. Suppose 4*p - 20 = h*p. Solve -4*c - p = 3*u, c - 10 = -u + 3*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - i + 5*x + 36, 3*i - 36 = 20*x - 45*x for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 18, o: 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 p = -137 - -263. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16683451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmimmmm. Give prob of sequence mmmi.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -359 and -8?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15750*x + 173248. Determine l(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1018 - -14062. Suppose -100*x - v = -96*x. What is x rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 6*d + 5. Let u be z(6). Let n(j) = j + 4. Let r be n(0). Suppose -2*y + 5*y + u*l = 46, 3*y = r*l + 28. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 0 + (-6 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l*l)\/l)**(-2\/55)*(l**(2\/5))**(2\/37) assuming l is positive.\nAnswer: l**(678\/14245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4468+-2.8\nAnswer: 4465.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (25 - 31 - (-41 + 39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -22820, -9, 4 in ascending order.\nAnswer: -22820, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 2. Suppose -2*w - 5*j + 33 = 0, -j + 2*j = 4*w - 11. Let g = 6 - w. Calculate b(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625865?\nAnswer: 3, 5, 107, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 5*i)*(-5*i**3 + 0*i**2 + 8*i**3 + 6*i**2).\nAnswer: 3*i**4 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**2 - 94*g - 126 = 0.\nAnswer: -7\/6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -504 and -504 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i - 4. Let s = i - -3. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -20999997*f + 12. Let y be d(-4). Round y to the nearest one million.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -5 + -13 + 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -w + 15, -5*p + w + 31 = -26. Suppose -a + 5*d + 0 = -p, d = 4*a - 10. Suppose 7*n = a*n + 25. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 - 5*j + 4. Suppose -2 = d + 2. Let g be i(d). Suppose g = -q + 3*q. Solve -5*t + q = -t + 4*r, 4*r - 10 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/60 + t**4\/24 + t**3\/3 - t**2. Let y(u) = -u**3 - 2*u**2 - 2*u - 5. Let j = -5 + 0. Determine j*v(f) - 2*y(f).\nAnswer: 2*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15755 is divided by 2559.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 9*m**2 - 6*m + 3. Let f be q(-7). Let a = f - -367\/7. What is the nearest to 2\/5 in a, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 17 (b) -0.3 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200016 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -30*n + 14. What is the remainder when 52 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2410.4 + 2407. What is the third biggest value in 0.08, 2, a, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0523 - -1.9477. Which is the nearest to w? (a) -0.5 (b) -1\/8 (c) -0.3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 4*y)*(2 + 4*y - 2*y + 7) + 3*y**2 - 15*y**2 - 3*y**2.\nAnswer: -17*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25415 and 587561?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -w, -166132 = -9*b + 4*w. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*f + 532 = 0, -3*f - 540 = -6*h + 3*h. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 5*o**2\/3.\nAnswer: o**2*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 288 = 19*k + 53 - 289 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227673, 227670, 227667, 227664?\nAnswer: 227661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 456\/2394*(-2 - (-28)\/8). Solve 6\/7*j**3 - 46\/7*j + g*j**4 - 24\/7 - 18\/7*j**2 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 3. Let j be b(3). Suppose -3*c = -c + 3*h - 16, -h = -3*c + 2. Find the third derivative of j*a**2 - 3*a**6 + 3*a**2 - a**c wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2, -9*s + 10*s = 3*l + 18. What is the lowest common multiple of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 889657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*m + 2, 2*s = -s - 2*m - 1. Let t = 24454 - 1027115\/42. Let l = t - -5\/6. Which is bigger: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 6\/11 (c) 102 (d) 0.8 (e) -3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/21 - 674*w**2\/3 - 2808208*w\/21 - 30322072\/21.\nAnswer: -2*(w + 11)*(w + 1174)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10228 = 10227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.78 + 60.22. Let k = -3 - 59. Let v = k + d. What is the biggest value in v, -6\/5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/1033, -1, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 10*l + 18*l - 11*l)*(3*l - 3*l - l**2).\nAnswer: 3*l**3 + 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-16 - -10) - -71 - (44 + -33)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39968 - -58316. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1315475 to the nearest ten thousand.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -1, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) 1 (c) 27\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -13cc3?\nAnswer: -13cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24362, 24356, 24340, 24308, 24254, 24172, 24056, 23900?\n\"Answer: -o**3 + o**2 - 2*o + 24364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -37, -1, -2 in descending order.\nAnswer: -1, -2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14561966 by 2.\nAnswer: 7280983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/18 - 164*s**2\/3 - 219*s\/2 - 3393. Suppose y(l) = 0. Calculate l.\nAnswer: -1, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*z - 16. Let i(g) = g**3 - 3*g**2 + 5*g - 6. Let d be i(z). Suppose 3*s - k - d = k, -s + 5*k - 3 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -380, -565, -746?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3785 - 15*m + 17930 - 24*m - 64*m.\nAnswer: -103*m + 14145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1145.9*70\nAnswer: 80213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 48 = 0. Let v(n) = -n**3 + 12*n**2 + n - 13. Let f be v(q). What is the units digit of (-2 - -3) + (-69)\/f + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 37, 108, 239, 448, 753, 1172, 1723?\nAnswer: 2424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -2253, -5058, -8983, -14028?\nAnswer: -20193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159 - -161.76. Let u = 0.26 - c. Let i = -2.499989 - u. Round i to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15*(-3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 4*h - 22, 4*d - 4*d + 3*d + 5*h = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/4)*j)\/j)**(2\/7)\/(j**(-2)\/(j\/((j\/((j\/j**6)\/j))\/j))) assuming j is positive.\nAnswer: j**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9139326 to the nearest integer?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110001302 (base 4) to base 12.\nAnswer: -194966a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -7*t + 3. Let l be ((-545)\/(-105) + t)\/((-4)\/(-6)). Factor -1\/7*i**2 - l + 3\/7*i.\nAnswer: -(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, -1, -16, 8, 1 in increasing order.\nAnswer: -16, -1, 1, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -0*u - 12*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdccpzdz. What is prob of picking 1 c, 1 p, and 2 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 0 + -1)*4\/12. What is the smallest value in 50, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22180, -23338, -24500, -25666, -26836, -28010, -29188?\n\"Answer: -2*h**2 - 1152*h - 21026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(70)*-2*1 + sqrt(70)))\/(sqrt(30)\/(sqrt(3) - (sqrt(3)*-2 - sqrt(3))) + sqrt(160)).\nAnswer: 12*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4315\/238 - -290\/17. Let k = -4\/7 - r. Let i be 2\/12 - -2*(-16 - (-765)\/54). Sort k, i, 2.\nAnswer: i, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2 + (-3 - 0)). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 7\/15*d**3 + 1\/10*d**5 + 3\/10*d**4 + 3*d + 1\/75*d**6 + 2\/5*d**2 + 0. Find i such that c(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35679432, 35679434, 35679436?\n\"Answer: 2*g + 35679430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**2 - 10*d**2 + 18*d**2 + (-3*d - 3*d + 3*d)*(-2*d + 0*d + 4*d) + 5 + 4*d**2 - 5 in the form a + u*d + t*d**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -150.1? (a) -291\/8 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -580242 divided by 7439\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/20 - 434*h**3\/3 + 565*h**2 - 24*h - 42. Differentiate l(j) with respect to j.\nAnswer: 3*j**2 - 868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 5*r**2 + 6*r - 5. Let z be v(4). Let m(b) = 3*b**2 + 2 + 8*b**2 - 10*b**2 - 2*b + 1. What is m(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*j + 59*j - 852. Let z = j + -86. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5167125 divided by 1722375\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7136*h**2 + 3*h**3 - 7136*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1695266*z**5 + 44*z + 10694?\nAnswer: -33905320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120047, 240102, 360157?\nAnswer: 480212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 21*h**2 + 4*h + 17. What is the hundreds digit of d(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from {h: 8, t: 5, r: 2, d: 2, m: 1}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*k = 121*k + 20. Suppose 4*x + 3 = 4*j + 5*x, k*j - x - 9 = 0. Solve u = -2*d + 5*d - 20, d - 15 = j*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541243.\nAnswer: 83, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 3. Let m = -18.9 - u. Suppose -x = 4*x. Which is the nearest to m? (a) 5 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 23*c**2\/2 - 3. Does 21 divide g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/4 - 9\/(-12))*32. Suppose -h = -7*o + 3. Suppose -5*q + 3 = -o*u - 8*q, -5 = -u - 2*q. Let z(i) = i**3 + 3*i**2 + 3*i. Calculate z(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-38)\/10 - -8)\/(-9 + (-172)\/(-20)). What is the nearest to z in 3, -5, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28252, -56507, -84762?\n\"Answer: -28255*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -16*w**3 + 324*w**2 + 256*w - 84 = 0.\nAnswer: -1, 1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17)*d**7)\/((d\/d**4)\/d)**(-24) assuming d is positive.\nAnswer: d**(-1515\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghg when three letters picked without replacement from {c: 1, g: 2, b: 4, h: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, q: 1, l: 7, g: 4}. Give prob of picking 1 j and 1 v.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - u - 5*u + (-1 + 5 - 6)*(u - u + 7*u) - 5*u - 3*u + 5*u)*(2*u - 4*u + 1 + 0) in the form f + k*u**2 + m*u and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*w**4 + 19*w**3 - 204 wrt w.\nAnswer: -16*w**3 + 57*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b**4 + 2*b**4 - 3*b**4)*(5 + 2 - 5) + 0*b**4 + 0*b**4 - b**4 - 5*b**4 + 0*b**4 + 3*b**4 + 0*b**4 + 3*b**4 - 4*b**4)*(-3 + 1 + 3)*(2*b - 1 + 1).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 457 and 662650?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000200211 + 21212200?\nAnswer: -201211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/8 and 49\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csyjcvv. What is prob of sequence ccs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:38 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/20 (b) 122 (c) 13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(66\/(-11)))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 516 - 15. What is the lowest common multiple of 10 and t?\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -11*p + 8*p - u, 0 = 3*p + 4*u - 75. Calculate the highest common divisor of 42 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 36 = 63. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 3. Let s(o) be the first derivative of 4*o**2 + 9*o - 29. What is -4*s(p) - 11*z(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*f)*((0 - f + 0)*(-1 + 3 - 4) + (-f + 5*f - 2*f)*(2 + 5 - 5) + 6*f - 34 + 34)*(0 + 0 + f).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.07 - -3.11. Is 10\/7 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 297810 and 4.\nAnswer: 1191240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y + 172*y = 87*y + 64. Let a = -8 - -11. Suppose 2*w - 5 = 7. Solve y*g = -o - a, -4*g = -3*o - w + 29 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17462964 divided by -74?\nAnswer: -235986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -967*r**2. Let t(w) be the second derivative of w**4\/6 + w - 134. Calculate x(t(p)).\nAnswer: -3868*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2 - 5*s - 3*s**2 + s**2 - s**3 + 7*s**2. Let n be t(4). What is the tens digit of 66\/(-9)*3\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 + 354056*d + 708120 = 0.\nAnswer: -2, 177030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - 63. Suppose 169 + 136 = 5*c. Calculate the remainder when c is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {q: 1, h: 2, a: 10, f: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25687946?\nAnswer: 2, 12843973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k + 49. Let y be n(9). Find the second derivative of -182 - 13*o**2 - y*o + 91 + 91 wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**5\/12 + u**4\/12 - 6*u**2. Find the second derivative of o(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*k + 106, -5*k - 18 + 53 = u. Suppose 4*p - 55 - u = 0. Let i = -8 + p. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014933167?\nAnswer: 17, 23, 2595737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 28077 (c) 226\/3 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66256 or -66237?\nAnswer: -66256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 12:45 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -928332*u + 8. Let t be (-8)\/(-8) + 7*-1. Let h be c(t). What is h rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 12*k + 168 = 4*b, 4*k = 4*b + 252. Suppose k = 16*g - 4. What is the remainder when g is divided by 0*(-1 + 2) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-220*o + 195*o + 216*o + (-3 + 4 + 0)*(-3*o + 3*o + 2*o) - o + 3 - 3)*(-2*o + 2 - 2 + (2 + 1 + 2)*(3 - 2*o - 3)) as v*o + j*o**2 + z and give j.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 2*v - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + 16*v**2 + 10*v. Let h(m) = m**3 - 5*m**2 - 3*m. Let q be (-42)\/4 - (-2)\/4. Let z(b) = q*h(b) - 3*t(b). Suppose z(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*y**2 - 2 - 14734*y**2 + 2.\nAnswer: -13928*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jce when three letters picked without replacement from {e: 1, d: 1, j: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3544425 and 45.\nAnswer: 3544425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 19*m + 1. What is l(-6)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19856 and -0.87.\nAnswer: -0.1727472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Suppose -v*f + 316 = 2*j, 5*j - 4*f + f = 821. Suppose j = 4*p - 5*t, -343 + 118 = -5*p + 2*t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498 is divided by 1344.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -188. Which is the second biggest value? (a) 5 (b) g (c) -140\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.5, -2\/19, 24, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*l - 3194, 0 = l - 2*x - 511 - 133. What is the greatest common factor of l and 2048?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1077511 kilometers to millimeters.\nAnswer: 107751.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b\/(b**(10\/7)*b))*b**(-4))**(-39))**(-13\/4) assuming b is positive.\nAnswer: b**(1521\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.6 (b) -0.00953 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 15. Let k be u(-17). Suppose k = 2*b + 41. Solve 2 = 4*f + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57099\/(-6)*((-9)\/6)\/((-7)\/(-16)). Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 219277*v = 219276*v + 3, -14 = -2*x - 3*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 463934, 463937, 463940?\n\"Answer: 3*r + 463931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s - 6. Let u(b) = -21*b - 13. Let r(m) = -7*n(m) + 3*u(m). Suppose 314 + 323 = -49*t. Let h(k) = 15*k + 6. Determine t*r(d) + 6*h(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from leexlvecxtx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337640671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -17. Let u = 23 + -14. What is the lowest common multiple of o and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b + 2. Suppose -3*z = -3*a - 24, -3*z - 6 + 28 = -2*a. Suppose -201 = -6*t + 39. Suppose 4*r + z*r = t. Calculate k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(2\/12*2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4193 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0863809 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 16. Let m(s) = -405*s - 301. Let d(r) = 169*r + 120. Let t(i) = -12*d(i) - 5*m(i). Give -2*t(p) - 9*x(p).\nAnswer: -3*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1332)\/(-777) - 186\/(-14). What is the greatest common factor of f and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:15 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 2)*-2.\nAnswer: -8*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y - 35*y**2 + 20*y**2 + 27*y**2 + 8*y**2. Let q(t) be the third derivative of -7*t**5\/60 + t**4\/12 - 106*t**2. Give 17*q(k) + 6*x(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22471014 or 22471011?\nAnswer: 22471014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**11\/443520 + w**9\/40320 - w**7\/6720 + w**5\/12 + w**2. Let h(x) be the third derivative of p(x). Factor h(u).\nAnswer: -3*u*(u - 1)**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 589, 584, 577, 568, 557?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*a + 7864 = -65*a - 5132 + 2082 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1895*w - 4466?\nAnswer: -1895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*s**3 + 711*s**2 - 711*s**2.\nAnswer: 526*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q + 36 = 4*c, 3*c + 2*q = 50. Calculate the remainder when c is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 + 5*c**2 - 11. Let l(g) = -2*g**3 - 2*g**2 + 5. What is -6*i(m) - 14*l(m)?\nAnswer: -2*m**3 - 2*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42104502 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 17*k + 6. Suppose 3*q = 14 - 5. Suppose q*x = -4*a + 216, -2*x = k*a - 62 - 83. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1522*w**3 + 151*w**3 - 316*w**3 - 1599*w**3 - w**3 + 0*w**3 - w**3 + (5 - 4 - 2)*(0*w**3 + w**3 + 0*w**3) - w**3 - 3*w + 3*w.\nAnswer: -3290*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 36 - 15)*(0*d - 3*d + d - 3 + 3 - 2*d + 1 - 1 + 2*d + (-3*d + d + 3*d)*(1 + 1 - 3) - 3*d - 3*d + 4*d) in the form c*d + g and give c.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6685 and 209260272?\nAnswer: 209266957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5384, -5954, -6896, -8204, -9872, -11894, -14264?\nAnswer: -16976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4616780*k**4 + 1949306*k**2 wrt k?\nAnswer: -110802720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(11\/(-44))*(-572)\/(-66)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 5, -0.5, 9, -27\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5061 + 7585. Let q = -2523.9996762 + p. What is q rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - d - 1. Let x(y) = -y**3 - 9*y**2 - 8*y - 1. Let a(m) = -4*c(m) + x(m). Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (886 - 886 + 134*r**2)*(-3*r**3 + r**3 + 4*r**3).\nAnswer: 268*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18480.4 + -18480. Let s be 1*(2 + 0) - 3. Which is the second biggest value? (a) -5 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/4 - 5*h**3\/2 + 29*h**2\/4 - 2*h - 12 = 0. What is h?\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -3) + -2 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - z. Let o be v(1). Solve -5 + 2 = o*s + q, 2*q - 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17630)\/(-4)*(18\/(-50))\/((-66)\/220)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/1 - -1 - 2. Suppose 2*u = j - 8, 4*j - 14 - t = 4*u. Calculate the lowest common multiple of 12 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(41\/((-451)\/88)))\/((-6)\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-1*-2 + -3. Let i = t + -3. Suppose 3*l - h = 261, 0 = -5*l - 0*l + i*h + 435. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*g**4 + 5461*g**3 - 111605*g**2.\nAnswer: -288*g + 32766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162639, 650056, 1462425, 2599752, 4062043, 5849304?\nAnswer: 7961541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*z**5 - 2262*z**4\/5 + 49041*z**3\/5 - 14892*z**2\/5 + 228*z = 0.\nAnswer: -5, 0, 2\/13, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*s - 3265*s + 196*s = 3612*s - 617736 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10909, -43762, -98525, -175204, -273805, -394334, -536797?\nAnswer: -701200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -15.6. Let a = -7 - j. Let w = -0.5 + a. What is the nearest to w in -1\/5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8018)\/44)\/(1\/(-4)). Let v = -728 + d. Let 10\/11*h**4 + 4\/11*h**3 - v*h**2 - 4\/11*h + 0 = 0. What is h?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -47 (b) -1 (c) 4 (d) 25 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.106 and 59.\nAnswer: 6.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311504 is divided by 28318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000537971591 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 12 = -5*p, 13*i - 5*p = 18*i - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 10*u**2 + 11*u + 2. Let p be f(11). What is the second derivative of 13*q**3 - 33*q + 0*q**p + 44*q + 0*q**2 wrt q?\nAnswer: 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271252 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + 214*s**2 + 166*s - 117. Let z be i(43). What is the greatest common factor of z and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 4, 4609, 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -290, 7, -3 in increasing order.\nAnswer: -290, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/(12\/(-45))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/22 and (-31)\/(1395\/(-54))*(-115)\/2188.\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -1\/3*m**3 + 3*m**2 + 0 + 5\/24*m**4 + 12*m. Let v(z) = 36*z - 15. Let t = 6 - 4. Determine t*v(k) - 15*u(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 3, s: 2, h: 6, j: 3}. Give prob of picking 2 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {z: 4, v: 1, s: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 4. Let b(l) = -2*l + 12. Let f be b(4). Suppose 3*t = -0*s + 5*s + 66, f*s - 22 = -t. What is the remainder when t is divided by h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2 + 2)*(5*q + 4 - 4)*(-41 - 47 - 174).\nAnswer: 1310*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 4:26 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:57 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18815 and 37630?\nAnswer: 37630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*s - 27545 = 0, 0*s = q + s + 6884. Let h(l) = l**3 + 9*l**2 + 10*l - 10. Let o be h(-8). Is q\/(-117) - 4\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13945, -13066, -12187, -11308, -10429, -9550?\nAnswer: -8671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.8 greater than 0.081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -1273, -2412, -3909, -5764, -7977?\nAnswer: -10548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*n = -534*n - 25368. Is n a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpppppl. What is prob of sequence pp?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 62326?\nAnswer: -2\/31163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 441281.1 litres?\nAnswer: 441281100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-18))\/((-120)\/(-192)). Let g(p) be the first derivative of 0*p**2 - 4*p - 14 - m*p**3. What is the first derivative of g(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (897\/225 - (-24)\/(-6))\/((-1338)\/(-36) + -37).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -13 - (-28)\/(-11)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 - -13) + (-1 - -3). What is the highest common divisor of 14 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*l + 5*h - 66, h - 3 = 0. Let o be ((-2)\/(-228))\/(-3 + (-65)\/l). Let t = -4483\/570 - o. What is the common denominator of -54\/7 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 834 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - k = 4, 5*j - 7565*k + 7569*k - 109 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 24268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 20 + (164 - 141) - -3?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*c + 10*c. List the prime factors of 3 + 5 + -6 - c*-135.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(117) + (sqrt(117) - (-1*sqrt(117) + 1)) - (sqrt(117) - ((sqrt(117)*2 - sqrt(117))*2 - sqrt(117)))).\nAnswer: -54*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2042258, 2042260, 2042262, 2042264, 2042266, 2042268?\n\"Answer: 2*d + 2042256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*g + g = -15, -4*q = -4*g - 20. Suppose q = t - 3. Sort 4, 2, t.\nAnswer: 2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.97 + -0.43. Let i = -0.477 + p. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 7 + (11 - 23)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0*f**5 + 0*f**2 + 5\/3*f**3 + 2*f + 0*f**4 + 37\/30*f**6 + 0. Find the second derivative of j(l) wrt l.\nAnswer: 444*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1544 * 47.\nAnswer: 72568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t**2 - 4*t + 1. Determine i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 5405?\nAnswer: -5402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 - -326. Suppose t - 45 = h. What are the prime factors of t?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 9:33 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4214 * 0.183\nAnswer: -0.0771162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -42*y - 3. Let m(o) = -126*o - 8. Let a(d) = -11*c(d) + 4*m(d). Let b(q) = -q - 6. Let t be b(-3). Is a(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*g = 2*g, -a = -g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7861031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/244188 and -143\/570?\nAnswer: 1220940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 42\/5, 1.9, 54, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**3\/2 + 1767*w. Let f(j) = -77*j**2 - 4. Determine h(f(k)).\nAnswer: 231*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, t: 2}. What is prob of sequence etet?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 13*w - 26. Let f be j(10). Solve -5*m - 5 = -v + 6*v, f*v - 24 = 3*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsgw when four letters picked without replacement from sgzzgsosswwwwp?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + g + 4*g + 28, u = -3*g - 12. Let h be ((-1 + 1)\/u)\/2. Suppose 2*t + 2*i = h, -4*i = -9*t + 5*t. Solve 2 = z - 3*f, t = 4*f - 7 + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9 + 3 - 2*t**3 - t**2 - 3*t + 3*t**3. Let w be f(-5). What is the remainder when 2\/(-6)*w\/1 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -21\/4421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 6*z - 13*z = -0*z - 8*z + 46, -181*m - z = -926 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 3*z**2 + z. Let s be r(-2). Let m(c) = -c**3 + c - 4. Let a be m(s). Let o = a + -75. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393950 to the power of 1\/2, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*n + 883 + 308 - 61*n - 57*n as q*n + d and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130878.\nAnswer: 2, 3, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*(s*(s*s**(-7)*s*s)\/s)\/s*s*s*s*((s\/s**5)\/s)\/s*s**(-4))**41 assuming s is positive.\nAnswer: s**(-615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = w + 15015. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Suppose 0 = -5*y + j*v - 5*v - 14, 16 = -5*y + v. Let k be y\/(((-27)\/6)\/1). Is k less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 105. Suppose -v + 47 = 3*p - 4, 4*p - a = 3*v. What is the third derivative of p*n**4 - 24*n**2 - 27*n**3 + 3*n**4 + 27*n**3 wrt n?\nAnswer: 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4 - 2*f**2 + 55*f + f**2 - 2 - 58*f. Calculate m(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134927\/625 smaller than 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27144060?\nAnswer: 2, 3, 5, 452401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + 6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 10 - 8 = 0. Let r be 1*(0 + -3) + 8. Solve 0 = -i*t - r - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p**3 - p**3 - 11 + 28 - 14 + 2*p + p**2. Determine j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 27*s**2 - 9*s - 19. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(147)*1 + 5 + (sqrt(147) + -3 - sqrt(147)) + 3 + -2 + 0)**2.\nAnswer: -28*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3765 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 178420 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 19. Suppose -16*n - 8 = -15*n. Let m be z(n). Solve 7 = -2*j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286595 is divided by 95529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(180)*1 + sqrt(180)))\/(((sqrt(72) - ((sqrt(72) - sqrt(72)*1) + sqrt(72) - sqrt(72)))*2)\/sqrt(8)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 13*m + 63. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -58. Let b = t - -22. Factor -8\/3*p + 8\/3 - b*p**2.\nAnswer: -2*(p + 2)*(3*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1596, 2694, 3792, 4890?\n\"Answer: 1098*h + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**40)**(22\/7)\/((d**(-1))**(-26)\/(d*d\/d**(2\/3))**(-8)) assuming d is positive.\nAnswer: d**(1870\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3495526*g - 58 = 3495521*g, -5*j + 5*g = 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - q = 3*q - 5, 0 = y - 3*q + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127, 511, 1157, 2065, 3235, 4667, 6361?\n\"Answer: 131*i**2 - 9*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 14*s = -4695. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3536a3 (base 12) to base 6\nAnswer: 30204323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8336505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**2\/2 - x + 4. Let i(d) = 2*d + 7*d + 3 - 3*d. Let b(f) = -i(f) - 4*u(f). Find the first derivative of b(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 8*d. Let f be (27\/(-18))\/(3\/(-4)). Let k(j) = -j**2 + 2*j**f + 0*j**2 + j. Let u(b) = 6*k(b) - y(b). Factor u(t).\nAnswer: 2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 4*y - 2)*(-18 + 11*y + 18) to g*y**2 + t + p*y and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - 1.66. Let a = 0.5 - v. Let h = 2.5 - a. Is h not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22\/69 - 51\/184. Let x(d) be the second derivative of -9*d + 1\/6*d**3 - b*d**4 + 0 + 0*d**2. Factor x(y).\nAnswer: -y*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 6. Let v(x) = -7*x - 5. Let l(d) = 5*n(d) + 6*v(d). Let g(f) = 2*f. Determine g(l(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (3 - (8 + -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 6*t**5\/5 + 2*t**2 - 2. What is the second derivative of p(c) wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89721, 89723, 89723, 89721, 89717?\n\"Answer: -o**2 + 5*o + 89717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7956*o - 15907. Give q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/75 and -55\/19914?\nAnswer: 497850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -11. Suppose -c = c - t. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/23 + 28\/69. Let i = 0.09 - -1.91. Let l = i - -1. Which is the smallest value? (a) -3 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49)\/21*2\/2. Which is smaller: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/16*181\/((-22625)\/600).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -0.06 (b) -0.2 (c) -0.054 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 358359\/27 - 576\/(-1296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -74. Let l = m + -20. Let h = -44.9999954 - l. Round h to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752852352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23552 is divided by 435?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*v + 29630, -4*v + 5*c = -57937 - 1331. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 13560*x + 13563 = 0.\nAnswer: -4521, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16878862.\nAnswer: 2, 7, 11, 13, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 + 9*f - 8. Let m be v(7). Let d = m - 4. Let t(b) = 3*b + 2. Is t(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*n + 11. Factor -2*f**5 + 7*f**5 - 21*f**4 + 4*f**5 + 3*f**3 + n*f**4.\nAnswer: 3*f**3*(f - 1)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/16*(-1)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -189. What is the second derivative of y*i - 374*i**2 - 367*i**2 + 741*i**2 + 137*i**4 wrt i?\nAnswer: 1644*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 2*u - 4*u)*(-u - 2*u + 4*u) + (3*u - 7*u + 2*u)*(4*u - 5*u - 4*u)*(-4 + 5 + 1)*(-3 + 4 - 2) to p*u + c*u**2 + r and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2 + 3*x - 25. Let i be z(7). Let t(j) = -j**2 + j + 2. Let p(b) = 2*b**2 - 5*b - 6. Let c(v) = i*t(v) - p(v). Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w + 125816*w**3 - 30*w - 344*w**2 - 125818*w**3.\nAnswer: -2*w**3 - 344*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -379, -385, -393, -403, -415?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44471.\nAnswer: 7, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ein when three letters picked without replacement from eniipic?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2755, -22366, -75651, -179446, -350587, -605910, -962251, -1436446?\nAnswer: -2045331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7\/3))**(-48) assuming v is positive.\nAnswer: v**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -1. Calculate the remainder when s is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/66 and -1\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(8)\/sqrt(4)) + sqrt(44))\/(2*sqrt(4)*-3))**2*2.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0515, -3, -4 in decreasing order.\nAnswer: 2, -0.0515, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzn when three letters picked without replacement from {n: 4, y: 1, z: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -48. Suppose w - 7 + 6 = i. Let y = -2 + 2. Is w < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16193971 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14196 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*t**5 - 39022*t**4 + 643298*t**2 - 4*t.\nAnswer: 1740*t**2 - 936528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 57 = 4*c, -4*x + 2*c + 38 = -2*x. What is the remainder when 92 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.6 (c) 0.5 (d) -172 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(45\/4)*(-165)\/(-726)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71e - -1?\nAnswer: -71d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1854 and -43\/6.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511549 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864535901 is divided by 191.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 330205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3922 - 1701. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -108797*u - 652036. What is l(-6)?\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18945061, -18945068, -18945079, -18945094?\n\"Answer: -2*q**2 - q - 18945058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.6172kg to grams.\nAnswer: 168617.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 + 246\/21. Let r be j + -5 - (0 + 4). Solve 3*f + r*s - 6 = 0, 4*f - 6*s = -s + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 17*t - 5. Let p be h(14). Let z = -70 + p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 4, b: 10}. Give prob of picking 1 b and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-120)\/12 + 11)*4\/(-19). What is the fourth smallest value in -2\/13, x, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(931)) + sqrt(931) + (sqrt(931) + -1*sqrt(931) - sqrt(931))*1 + sqrt(931) - -5*(sqrt(931)*6 - sqrt(931))*-6)**2.\nAnswer: 12012*sqrt(19) + 19038055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -711 (c) 1\/160 (d) 2 (e) -1\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08398918 to three decimal places.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457131681?\nAnswer: 3, 5643601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2296 and 36722?\nAnswer: 6022408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47780378 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*u + 529 = -1757, 4*u - 12 = 0. Calculate the remainder when 186 is divided by (l\/4)\/((-42)\/28).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)\/s)**(7\/6))**(-29)\/(s*s*(s\/(s\/(s**0*s)))\/s*s**(-1\/3)*s*s\/(s*(s*s**1\/s*s)\/s)*s**(-2\/7)) assuming s is positive.\nAnswer: s**(3219\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8679341, 8679326, 8679311, 8679296, 8679281, 8679266?\nAnswer: 8679251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/3 (c) 29 (d) 18 (e) -7\/803\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -416885.\nAnswer: -13\/416885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13567, -13568, -13569?\nAnswer: -13570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96115 or 92469?\nAnswer: 92469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - z**2 + z - 1. Let f(g) = -16*g**4 - 5*g**3 + 5*g**2 - 5*g + 20. Let b(q) = f(q) + 5*j(q). Differentiate b(m) with respect to m.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u - 7. Let z be l(-3). Suppose -z = -15*b + 13*b. Solve -b = -2*d - 5*m, -d = m + 3*m - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 141 = -69. Let p = -46 + r. Differentiate -p*h**2 + 27*h**3 + 13*h**2 - 27 + 11*h**2 with respect to h.\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3*n)*(-2*n + 0*n - 2*n)*(-n + 6*n - 2*n) to u + w*n**2 + z*n**3 + p*n and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - 125) + 128 + 57?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126975 is divided by 1384.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 217*v**2 - 214*v**2 + 3 - 1 + (-22 + 10*v + 22)*(0 + 0 + 2*v).\nAnswer: 23*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-418)\/99)\/19 + 172\/(-36). Let i = 0 - 1. Let f = i + w. Is -7 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1997849341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**3\/6 - 3*j + 9. Let o(z) = -13*z**2 - z. Calculate a(o(f)).\nAnswer: -13*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -544?\nAnswer: -51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. What is the third derivative of -4*p**6 + o*p**6 + p**2 - 23 + 23 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8)*2) - sqrt(539)*-1)**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*f*k**4 + f*k**3 - 2*f*k**2 + 52291294*f + 6*k**4 + 1728*k**3 wrt k.\nAnswer: -384*f*k + 6*f + 144*k + 10368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 4*o = 8*k + 53, 5*k = -2*o + 45. Let p(f) = -f**2 + 11*f + 1. Let u be p(k). What is the tens digit of (-1)\/(-1)*(u - (1 - 67))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + sqrt(11) + -4)**2 + sqrt(99)*-1 + (2*sqrt(132)*-3)\/sqrt(12) + -6*3*(5 + (sqrt(44) - (sqrt(132)\/sqrt(3))**2)).\nAnswer: -57*sqrt(11) + 755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**4 + 2*s**3 + 3*s**2 - 2*s + 5. Let b(v) = -2*v**4 + v**3 + 2*v**2 - v + 3. Let h(m) = -5*b(m) + 3*y(m). Factor h(u).\nAnswer: u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 22464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {v: 1, k: 2, x: 1, c: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -55242524 (base 7) to base 4\nAnswer: -102013230233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1306 + -697. What are the prime factors of f?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1109429967?\nAnswer: -1109429966.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -591.637322 + 623.63732281. Let i = 29 + 3. Let k = c - i. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241675 is divided by 21966.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 1552*n**2 + 142484*n + 1584040.\nAnswer: 4*(n - 199)**2*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181744 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99790589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 11*o + 2. Let a be u(11). Solve -d - 15 = a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 16) in base 12?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.03 (b) -105 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141940\/27 - 5258. Find the common denominator of 1*-3 - 139\/(-30) and f.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 6*k - 7. Let y(a) = -3*a**2 - 4*a - 7. Determine 5*y(l) - 4*z(l).\nAnswer: -3*l**2 + 4*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 34. Suppose 0 = 5*i + 1 - 51. What is the remainder when o is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4583*f**3 - 380 + 8828 - 14823*f**3 + 1679 wrt f.\nAnswer: -30720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27395292 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -706?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000095 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042945144 rounded to 7 decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2957, -770, -2 in decreasing order.\nAnswer: -2, -770, -2957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) + sqrt(34) + (sqrt(102)\/sqrt(3) - sqrt(34)))*6)\/sqrt(2))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/13)*i*i**6*(i**(-1)*i)**(9\/7) assuming i is positive.\nAnswer: i**(89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.003 (c) -1932 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3765)\/(-18) - 1\/6. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5362420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -1, -4463, -2\/7, -3 in increasing order.\nAnswer: -4463, -3, -1, -2\/7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + q - q)*(-453*q**2 + 291*q**2 - 943*q**2) to the form m + d*q**3 + v*q + y*q**2 and give d.\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*z - 1107 - 966 + 433 = 0. Let q(b) = -12*b - 12. Let d(c) = c + 1. Calculate z*d(v) + q(v).\nAnswer: -4*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25396\/13897 - 20\/1069. Let w(y) be the second derivative of y**3\/6 - y**2 - y. Let s be w(1). Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -536332 (base 10) to base 15.\nAnswer: -a8da7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*p - 8*c + 28, 2*p - 3*c = -8. Factor -1110*z**2 + 50 - 1097*z**p + 10*z**4 + z**5 + 22*z**3 - 55*z + 2179*z**2.\nAnswer: (z - 1)**2*(z + 2)*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - -138 - (-120 - -219)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.748735 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6931463.\nAnswer: 7, 11, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13614399 and 1377.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 632*u + 6. Let w(o) = 128*o + 1. Calculate -4*a(x) + 22*w(x).\nAnswer: 288*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p**(-1\/2)\/p)*p)\/p)\/((p\/(p*p**(-2\/3)))\/p))\/((p**(1\/7)*p*p)\/p*p\/(p*p**6)) assuming p is positive.\nAnswer: p**(365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230*x**5 - 156*x**4 + 12*x**2 + 8*x - 3?\nAnswer: -13800*x**2 - 3744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(2) + -4) - ((sqrt(18) + sqrt(18)*1)\/sqrt(9) + 3 + sqrt(2)*-1)) + -4.\nAnswer: 9*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + (44 - 34)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/630*((-9)\/156*-2)\/((-14)\/7).\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 89*m + 117*m + 202*m.\nAnswer: 235*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 43*i**2 + 6*i - 9. Suppose -19 = -2*m - 5*t, 5*t - 10*t + 5 = -5*m. What are the prime factors of z(m)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5131264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 16) in base 12?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479162 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 + 7772*m**2\/5 - 7244736*m\/5.\nAnswer: -2*m*(m - 2334)*(m - 1552)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 15. Is t(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/154 - 24\/(-33)*564.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -373095, -373168, -373285, -373446, -373651?\n\"Answer: -22*q**2 - 7*q - 373066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 6*z - 4, -53 = j - 4*z. What is the common denominator of 87\/14 and 2\/(-8) - j\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.08 in -0.3, 0.04, -30, 16\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 772?\nAnswer: -19\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/24*-3*12\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)*x)**(-26)*(x**2*x)**(-12))\/((x\/(x*x**(-1)\/x*x*x)*x)\/(x\/(x**6\/x)*x))**(-4\/3) assuming x is positive.\nAnswer: x**(-694\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -94108, -94117, -94126, -94135?\n\"Answer: -9*l - 94099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10096359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/(-6 + 29\/5 + 1). Which is the fifth biggest value? (a) 3 (b) -0.4 (c) -1 (d) j (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:50 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. Suppose 0 = -n - 2*i, 3*i = -a*n + i. Suppose 5*f - 288 + 13 = n. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b + 0*b**5 + 0*b**4 - 7\/3*b**3 - 5\/6*b**6 + 1 + 0*b**2. What is the third derivative of y(i) wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 3*x + i, -3*x - 330 = x + 2*i. Let y = 251\/3 + x. What is the closest to y in 0.5, 0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1223 - 32*w**2 + 14*w**2 + 19*w**2 - 11*w**3.\nAnswer: -11*w**3 + w**2 - 1223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 22994*o - 1080714. Determine h(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j + 5445 + 1\/5*j**2 = 0. Calculate j.\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3*w**2 + 2*w**2 - 3*w**2 - w**3 + (-w**3 + 3*w**3 + 0*w**3)*(-62 - 91 - 87 + (-2 + 4 - 1)*(0 + 1 + 1)).\nAnswer: -477*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/15 - r**4\/12 + 2*r**3\/3 - r**2. Let p(b) = -5*b + 7 - 7*b**2 - 8*b + 20*b - 10*b. Calculate -5*k(i) + 3*p(i).\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g + 2*v, -3 = g - 2*v + 4. Let m be (-5)\/7 + (-2)\/g. Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1320\/50351 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4083 = 5*t + j + 4102, j = 4*t + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.16 - -1.84. Let o = w - 13.0252. Round o to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64870 times -1120?\nAnswer: -72654400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:32 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1917, 3939, 6061, 8283, 10605?\nAnswer: 13027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3164*g**2 - 15*g + 515. Let h(u) = 1584*u**2 - 7*u + 252. Let p(o) = -5*h(o) + 2*w(o). What is the second derivative of p(q) wrt q?\nAnswer: -3184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/4 - 8449*y\/4 + 4225\/2 = 0.\nAnswer: -8450, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/779 - -2321\/3116. Factor 9\/4*i + y - 3\/4*i**2 - 9\/4*i**3.\nAnswer: -3*(i - 1)*(i + 1)*(3*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -162 and 48.529419?\nAnswer: 210.529419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 1, s: 2, v: 1}. What is prob of sequence cvss?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u + 62*u - 8 = 0. What is the least common multiple of u and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*v + w - 68, -5510*w = -v - 5511*w + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(190)\/((sqrt(80)\/sqrt(4))\/sqrt(2) + sqrt(10)))**2 + -3) + 0.\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/((-1)\/(-30)). What is the common denominator of (-1)\/(-3)*354\/g and -31\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2840, 2782, 2720, 2654, 2584, 2510?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18518*w - 6636*w + 5026*w.\nAnswer: 16908*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-6 - -3) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/5 + 728*v + 3620.\nAnswer: 4*(v + 5)*(v + 905)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + d**3 - 221*d**2 + 10 - d**4 + 221*d**2 in the form z*d**2 + t*d + f*d**3 + k*d**4 + q and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418781047 to the nearest integer?\nAnswer: 20464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 6. Let x(s) = s**2 + 5 - 7 - 2*s + 3 + 6 - 8. What is x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 7*x**2 - 8*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -303*j + 165*j + 67 + 141*j. Determine f(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 8. Let l(h) = -h**3 - 3*h**2 + 6*h + 2. Let u be l(-4). Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1205.\nAnswer: 0, 5, 1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-15 + 43 + 41)*(2*n**2 - 1 + 1).\nAnswer: 276*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*a - 362*a + 4*k - 149 = 0, -3*k - 15 = 0. Solve -205 = -9*z - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fubwbfbub. What is prob of sequence wff?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00118627 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 11:26 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 356052 (base 10) to base 11\nAnswer: 223564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -10 - 5. Let x be 3\/(-9) - (-16)\/m. Suppose 2*i + 27000 = x*i. What is i rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 23436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/7239935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - l - 344 = 0, 0*q - 5*q + 1720 = -3*l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56978379*p + 56978605*p = 5424 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 113. Let w(j) be the third derivative of 0*j + 0*j**3 + d*j**4 + 4*j**2 - 1\/30*j**5 + 1\/120*j**6 + 0. Find the third derivative of w(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 9 - (-2 - 92\/2). Let l = -72 + r. What are the prime factors of (-2370)\/l + (-1)\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -2\/7 (b) 14411 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -106*2\/(-364) - (-54)\/(-351)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1 (c) -2\/321 (d) 3 (e) -1\/4 (f) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udduldlddl. Give prob of picking 2 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w**2. Let z(n) = 8*n. Let b(s) = -14*s. Suppose 43*h - 407 = 6*h. Let t(o) = h*z(o) + 6*b(o). Determine f(t(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmmhhhhhhhhmhhmhh. Give prob of sequence mm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 110*o + 774, -1784*v + 11 = -1786*v - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3))**(10\/19))**(4\/3) assuming j is positive.\nAnswer: j**(-80\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-150)*18\/(-168)*-4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 2:55 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -38 + 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(12) + -1 - sqrt(12)) - sqrt(12)).\nAnswer: -6 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 180 - 24 = 0. Let m = d + 6. Calculate the remainder when m is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 1654 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**6\/15 + z**4\/12 + z + 4. Let k(p) be the first derivative of y(p). Find the third derivative of k(x) wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 2*s. Let f(j) = -12 + s + 6 + 2*j**2. Let u(v) = 10*v. Determine f(u(n)).\nAnswer: 200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + v = 4*v - 18, 0 = -2*s - 4*v + 18. Suppose 4*q = 3*q + 2. Let f(b) = -s*b + q*b - 2*b**2 - 1 - b + b. What is f(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0 + 0*z + 0*z**4 + 0*z**3 + 173*z**2 - 1\/5*z**5. Let y(k) = -25*k**2. Determine n(y(f)).\nAnswer: -7500*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 - 5. Let x be b(-6). Let k = -5 - x. Suppose k = 3*v + 28 - 91. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from {w: 1, c: 2, e: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 16*m - 75. Suppose -5*a - m = 3*q, -7 + 2 = q. Suppose -2*x = 5*n - 33, -5*x + a*x + 5*n = -135. 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: Simplify ((2 + sqrt(396) + 1 - sqrt(396)) + 5)**2 + (1*-2*sqrt(396) - (sqrt(396)*-2*2 + sqrt(396)))**2.\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7840555 to the nearest one hundred thousand.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027879.059 rounded to the nearest 1000?\nAnswer: 3028000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37080305 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**3 + 4*d + 3. Let a be i(-3). What is the common denominator of (-3)\/8*1\/(-3) and (-21)\/a*(0 - -5)*-26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21209, -43249, -65277, -87287, -109273, -131229?\nAnswer: -153149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*s, 18 = 2*h + 3*s - 0. Suppose 2*b - 60 = p, 0 = -h*b + 2*p - 0*p + 91. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33054910 by 230.\nAnswer: 143717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.129 * 39222.29\nAnswer: -5059.67541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 81 = 123. Sort -7, n, -4, 0 in increasing order.\nAnswer: -7, -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s = 0. Let i be 23 + 0 + (3 - 2). Suppose -i = -3*m - s*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202102 (base 3) to base 4\nAnswer: -20213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {u: 12, o: 7}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2936881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66272612 a multiple of 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 527192, 524492, 521792, 519092?\n\"Answer: -2700*d + 529892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-130)*(-5)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 53 + 41 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/3 + 14396*q\/3 + 57488 = 0.\nAnswer: -7186, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let c(n) = -n**3 + 3*n**2 - n + 1. Let i be c(3). What is the nearest to i in -1, -2\/13, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*o + 2884 - 3260. Let t(n) = -n**2 + 4*n. Let k be t(4). Put 4, k, o in ascending order.\nAnswer: k, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 46421954.\nAnswer: 92843908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*p - p. Solve -5*h + p*l - 4 = 41, -5*h + 3*l = 37 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 13*t - 19. Let d be b(19). Let z = -96 + d. Sort -5, 0, z, 4 in decreasing order.\nAnswer: 4, 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(27*y - 27*y - 12*y**2 + (0*y + 2*y - y)*(-2 + 2 - 2*y))*(0*y**2 + 4*y**2 - 3*y**2) as z*y**2 + m*y**3 + b*y**4 + t + v*y and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/2*12\/(-5). Let n = f + -271\/20. Which is the biggest value? (a) 2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2405, 9988, 22743, 40670?\nAnswer: 63769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.16 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*c**3 + 26*c - c - 23*c.\nAnswer: -1431*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*u + 22 = 0, 2*u = -2*p - 4 + 26. Let r(q) = 0 + 0 + p*q - 20*q. Let n(i) = i. Calculate r(n(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4439 and 37\/31349?\nAnswer: 6050357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5548 (b) 0.2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2252134 (base 6) in base 2?\nAnswer: -11100010001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*y**2 - 204*y**2 + 301*y**2.\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/3328)\/(2\/16)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n = -81*n - 126. Solve -7*h - n = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3 + (3 + 4 - 5)*(0 - 2 + 0) - 3 + 0 + 4)*(-2 + 2*z + 2)*(-50*z - 28 + 53*z + 5).\nAnswer: -24*z**2 + 184*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x - 234 = 0. Let k be x*(-3)\/(-24)*4. Suppose -l = 2*l - k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbbw. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/30 - 2*s**2. Let z(i) = -7*i. Let v(m) = -m. Let w(g) = 6*v(g) - z(g). Calculate p(w(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-2*k**2 - 3*k**2 + k**2) - 6*k**2 + 3*k**2 + 4*k**2 + (2*k + k - 2*k)*(-3*k + 0*k + k) + (5*k + 0*k - 3*k)*(3*k - 5*k + k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2061006s in microseconds?\nAnswer: 206100.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 - 633*s**3 + 279*s**3 + 356*s**3.\nAnswer: 2*s**3 - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10692 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-9\/7))\/v)**39 assuming v is positive.\nAnswer: v**(351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44268028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(528) + sqrt(528) + (sqrt(528) + sqrt(528) + 1*sqrt(528))*1)\/(-2*-4*sqrt(11)*3).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-10)\/5)\/(3\/((-120)\/16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 205*p**2 - 417*p + 621.\nAnswer: (p - 207)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37061659 and -505.\nAnswer: 37061154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.5 + -16. Let u be (-36)\/10 - (-16)\/(-40). What is the third biggest value in 1, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 251 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v + 75. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 1428 = 24*i. Calculate the remainder when 89 is divided by i\/5 - 24\/40.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5111049.6ns in hours?\nAnswer: 0.000001419736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99628 or -1693666\/17?\nAnswer: -99628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -288 in -2\/5, 2, 3\/5, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*r - 33 + 9, -5*o = -4*r + 62. Let g(h) = 58 - 47*h**2 - 13*h + 2*h**3 - 17*h + 3*h. Let t be g(24). Are t and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415462981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let r(b) = 2*b**2 - 1. Let t(j) = 6*j**2 + 8*j - 2. Let h(k) = f*t(k) - 2*r(k). Factor h(q).\nAnswer: 2*q*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 8 - ((-71)\/30 + (-88)\/176)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982793.4 years in millennia?\nAnswer: 982.7934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*o + 2 - 17 = 0, -4*o = 2*z - 6. Solve 2*d + 3 = z*g - 24, -3 = -g - 2*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132))\/(-1*(sqrt(9)\/sqrt(3) + sqrt(3))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/19208 and 87\/598192.\nAnswer: 4187344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-768)\/(-168))\/32)\/(6\/21)*(-8)\/394?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 13*q**2 + 11*q - 10. Determine y(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-4 + -1 + sqrt(1053) - (-2*sqrt(1053) - sqrt(1053))*5) + -2 + sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 0))*-4)**2)*2.\nAnswer: -4284*sqrt(13) + 608722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -44*l - 338. Let j be z(-8). Find the third derivative of 120*h**3 + 44 - 68*h**3 + j*h**2 - 36 wrt h.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = -3*u, -2*u - 74*h - 9 = -77*h. Which is the closest to 0.3? (a) -5 (b) -2\/21 (c) u (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1720719 is divided by 573565?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -365266, -730332, -1095398, -1460464, -1825530?\n\"Answer: -365066*s - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -5, 0.3, 296?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, -1, -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*o**3 - 2*o + 32*o**3 - o**4 + 3 - 2*o - o**2 + 6*o**3 to k*o + t*o**2 + w + z*o**4 + p*o**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3682068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2 - 2 - 1. Let y be 5\/15*(1 + i). Let j be 2 + (3 + y)*-701. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/889168 and -129\/254524340.\nAnswer: 1018097360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415730 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10842 and -7.051?\nAnswer: 10834.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/20 + 7*d**4\/12 + 7*d**3\/3 + 3*d**2 - 4*d. Let s(u) = u**2 - 5*u - 5. Let n be -1 - -8*2*-1. What is n*s(h) - 6*j(h)?\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-746)\/1865*(20\/(-12))\/(178\/(-6)).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(5\/60). Suppose -1 = -2*t + 3*a, 0 + 8 = 4*t - k*a. Solve 1 = -w - 2*c + 4, -4*c + 13 = -t*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-372)*(-4)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 5 (b) 2\/11 (c) 2\/29 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - (1 - -8)*1\/(-3). Let o(n) = 3*n - 17. Let p(g) = 2*g - 9. Let m(w) = q*p(w) - 6*o(w). What is m(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let h(g) = -g**2 + 8*g - 7. Let b be h(6). Suppose b*y = -2*j - 24, -5*j + 8*j = -2*y - 14. Sort i, -4, j in decreasing order.\nAnswer: i, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(28)\/((sqrt(4) - (sqrt(8)\/sqrt(2) - sqrt(4)))*3) + (sqrt(3087)*2 - sqrt(3087) - sqrt(3087) - sqrt(63))\/sqrt(9)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12*11\/1188)\/(3*30\/(-2106))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 643468576*v**6 + 50970*v**2 + 18*v + 4.\nAnswer: 77216229120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + -3*(sqrt(500) + -3) + sqrt(500))*5)**2.\nAnswer: -300000*sqrt(5) + 1340000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 5*l**2 + 3*l - 3. What is g(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let g be 4\/(-26) - (-480)\/78. Let c(r) = -g*r + 15*r + 4 - r. Give c(a(w)).\nAnswer: 16*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 25, -1 in descending order.\nAnswer: 25, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 53*x**3 - x + 1. Let s be o(1). Let f = s - 15. Calculate the remainder when f is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 2, e: 1, k: 3, v: 1}. Give prob of sequence ks.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7280\/27, 0, 3 in decreasing order.\nAnswer: 7280\/27, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18) + 793\/117 + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2\/d)\/d)\/d*(d*d*d**(-1\/17)*d)\/d*((d\/d**(-1\/2))\/d)**(7\/3))**(-1\/74) assuming d is positive.\nAnswer: d**(-215\/7548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 28*a**3 + 1508*a**2 - 2916*a + 1440 = 0. Calculate a.\nAnswer: -24, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18)*2*-12. Let p(w) = 4*w + x*w**3 - 8*w + 0*w**3 + 3 - 3*w**3 - 3*w**2. Let h be 1\/4 - (-30)\/8. What is p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*u = 8, 3227*u = -5*a + 3225*u + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*r - 13, 0*l + l + 12 = 3*r. Let q(h) = -h**3 - 9*h**2 - 2*h - 13. Let m be q(l). Solve -2*k + m - 6 + 0*k**2 - k**2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x. Let k(l) = -3*l. Let m(s) = -33*k(s) - 6*v(s). Let f(y) be the second derivative of y**4\/6 + y. Give f(m(q)).\nAnswer: 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 5*j**2 + 5*j - 11. Let u be l(4). Let g(t) = -t**2 - 15*t + 7. Determine g(u).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2*b + 8*b + 7*b).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and ((-550)\/6)\/((-21)\/63)?\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(162))\/(sqrt(42)\/(sqrt(7) + sqrt(14)\/sqrt(2))) + -5 + ((sqrt(231) + sqrt(231)*2 - sqrt(231))\/sqrt(11))\/sqrt(7).\nAnswer: -22*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31285, -31256, -31227?\nAnswer: -31198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + f + 9 = 0, -2*f - 160 = 169 - 323 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -64. Suppose -10 = -5*y - 5*q, 0 = 2*y + q + f*q - 7. Is ((-18)\/(-8) - y)\/((-2)\/(-136)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-1 + -1*5*sqrt(16))\/(((-1*sqrt(48))\/sqrt(2))\/(sqrt(3) + (sqrt(3) - sqrt(432)*-2))).\nAnswer: 208*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75994164 less than -4800?\nAnswer: -75998964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h - 70 - 8. Which is bigger: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-33)\/(-6))\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10396 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487833?\nAnswer: 19, 78307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 + 5, -4*v - 2 = 3*s. Let o be s\/4*2 - -36. Let x = o - 26. Calculate the remainder when 19 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let m be (-359 - 0)*(-10 + 9). Let u(k) = -359*k + m*k + k**2. Give u(b(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 75734044 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 21 (c) 0.3 (d) -75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24775 (base 9) in base 13?\nAnswer: 7787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/70707 and -1\/4017.\nAnswer: 7282821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18364, 18343, 18308, 18259, 18196, 18119?\n\"Answer: -7*t**2 + 18371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 577*a + 121739. Give s(-211).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2291\/474 + (-105)\/(-90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705\/2 or -354?\nAnswer: -705\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 407 + 405 + 401 + 402 - 1610 - q. Suppose -3*m + 10 = 2*m. Suppose 4*k = 3*n - 22, 3*k + m*k + 4*n = -12. Calculate c(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i - 15. Let l be n(-10). What is the greatest common factor of 175 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/24 - 33*g**2. Let z(t) = -3 - 3*t + 5*t + t - 2*t. What is 3*k(f) + z(f)?\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1038d + 4?\nAnswer: -10389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341538*-60.\nAnswer: -20492280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (4*(sqrt(2057) + -1 + sqrt(2057) + sqrt(2057)) + sqrt(2057))**2 - (3 + -2*sqrt(2057)))*-4.\nAnswer: -1390584 + 4444*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/513304 and -91\/64.\nAnswer: 4106432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 65*q**3 + 25*q**2 + 5*q - 45. Let y be ((-20)\/3)\/(10\/45). Let z(s) = 2*s**3 + s**2 + s - 1. Let l(h) = y*z(h) + m(h). Factor l(j).\nAnswer: 5*(j - 3)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egku when four letters picked without replacement from {g: 2, u: 4, k: 1, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5359 - -11642. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/288)\/(15\/36)*204\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2 - 1 - 5*x + 19*x. Let h be t(1). Let r = h - 4. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274 by 2.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - 74. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.06 times -44\nAnswer: -1146.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:39 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y. Let z be l(1). Let x(c) = -5*c + 2. Let o(d) = d. Let h(g) = -6*o(g) - x(g). Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l**2 - 11*l**2 - 17*l**2)*(796*l + 605*l - 115*l - 216*l) as d*l**2 + t + m*l**3 + s*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626230342?\nAnswer: 2, 3467, 90313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10401957?\nAnswer: 3, 23, 31, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Round 8166.377 to the nearest one hundred.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 18.84. Let m = -3.35 + o. Round m to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 9*a**2 - 9*a + 11. Let l = 22 + -12. Let c = 18 - l. Let u be r(c). Let w(x) = 2*x**2 - 4*x. Calculate w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 25. Let r be 26\/(-10) - (-12)\/v. Is r at most -5\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, w: 6, h: 1, p: 4}. What is prob of sequence pphc?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/8 - 2*c**3\/3 - 7*c**2. Let q = -32 - -46. Calculate the smallest common multiple of q and z(8).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, -2\/7, -1301.83?\nAnswer: -1301.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from yynynannn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let d(g) = -5680909*g. Calculate d(x(j)).\nAnswer: -5680909*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4 - 32 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g + 28*g - 12*g)*(18*g**2 + 3*g**2 + 8*g**2 + (3*g - g - 3*g)*(3*g + 2*g - 3*g) - 4*g**2 + 0*g**2 + 3*g**2).\nAnswer: 182*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from {u: 10, o: 1, z: 7, h: 2}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3213, 3231, 3275, 3357, 3489?\nAnswer: 3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31)\/((-744)\/1128) - (-1 - 0). Solve 0 = -x*t - 130 - 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 22242428*r - 22242424.\nAnswer: -4*(r - 5560606)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 8618672?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**2 + 14*z + 14. Let f be (1717\/(-102) - -17) + 203\/6. Let h be ((-2)\/6)\/(f\/612). Let g(m) = -4*m**2 - 5*m - 5. What is h*y(r) - 17*g(r)?\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 27*v**4 - 63*v**3 + 90*v**2 - 57*v + 17. Let x(z) = -14*z**4 + 31*z**3 - 45*z**2 + 29*z - 9. Let g(o) = -4*r(o) - 7*x(o). Factor g(f).\nAnswer: -5*(f - 1)**3*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/3*1 + 10. Solve -c = -5*s - 10, -5*s - o - 3 = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1120*d**3*n**2 + 8*d**2*n**3 + 22*d - 804*n**3 wrt d?\nAnswer: -6720*d*n**2 + 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 0.1333?\nAnswer: 0.1333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from zzzzzzzzrzzzrzzzzz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20953774 to the nearest integer?\nAnswer: 4578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1. Let y = -14 - -7. Let p = y + 6. Sort 10, u, p in decreasing order.\nAnswer: 10, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 61 - 75 + w**3 + 136.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/20)\/((5\/(-10))\/(9\/(-63)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -1.9. Let g = k + 1.6. Suppose -4*x = 2*f - 24, -11 = 2*f - 3*x - 0*x. Which is the second biggest value? (a) 2\/15 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4 = 2*u, 3*b = -2*u + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 146, 240, 378, 572, 834, 1176, 1610?\n\"Answer: 2*s**3 + 4*s**2 + 36*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2157*g - 102 with respect to g.\nAnswer: 2157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 22\/15 (c) 2\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 22*w**2 + 40*w + 5. Let u be q(-20). List the prime factors of 96\/u*(-10)\/(-3) + 2.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.26 + -2.\nAnswer: -6.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8\/6*-3 + 164\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5825963028 and 0.\nAnswer: -5825963028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -o - o + 4, o = -1. Let i(y) be the second derivative of y - 1\/3*y**3 + 1\/6*y**4 + 0 - l*y**2. Solve i(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51289135*o**2 - 40958091.\nAnswer: 102578270*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 25215 - 239949 = 0. Let i = 23978 - f. Round i to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 19. Let r(v) = -9*v - 38. Let w(l) = 6*r(l) - 13*s(l). Let n(b) = -b + 10. Let k(m) = -11*n(m) + 6*w(m). Differentiate k(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1501 - -1393. Which is smaller: n or 0.08?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 smaller than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 473\/318 - -2\/159. What is the second biggest value in -1, x, 8, 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267.343g in nanograms?\nAnswer: 2267343000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/5 - 1128*c\/5 - 159048\/5 = 0.\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**3 + 3*j + 4. Let p(l) = 8*l**3 + 2*l + 3. Give -3*k(x) + 4*p(x).\nAnswer: 8*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**3 + 28*z**3 + 4*z**2 - z**2 + 2*z**2 - 4*z**2.\nAnswer: 5*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y + 9. What is the lowest common multiple of (-8)\/(-5)*(2 - -3) and d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 951*n - 951*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110 - 10111011010001?\nAnswer: -10111001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46396826297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 6 + 3, -3*w + 5*j = -231. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and (-3)\/2 - (-31)\/(-2)*-1?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32234, -258655, -873454, -2070821, -4044946, -6990019?\n\"Answer: -32365*s**3 + s**2 + 131*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.0647 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k*p**2*x**3 - 47*k*p**2*x**2 - 5*p**2*x**3 + 2*p**2*x - p*x**3 wrt k?\nAnswer: 4*p**2*x**3 - 47*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 18*w + 25. Let l(y) = y**3 - 7*y**2 + 8*y - 7. Let d be l(5). Let r be o(d). Solve -r = n - 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277*q + 1549 - 215 = -2582*q + 1282*q for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30589\/2 - 15298. What is the closest to x in -3, 2\/21, -0.2, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -51ca4d1?\nAnswer: 51ca4d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3)*i)\/i)\/(i\/i**4*i*i*i))\/(i**8\/i*i)**(2\/69) assuming i is positive.\nAnswer: i**(-154\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - k + 6*k + 11 = 0, 3*k + 24 = 4*o. Let r(w) = -25 + 66 - w**o - 17 - 23 + w. Suppose -19 = -5*a + 5*f - 4, -5*f = 15. Give r(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -66?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20998 - 20571. Calculate the remainder when v is divided by 64.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 - 60 - 213 - 12*g**2 + 21*g**2.\nAnswer: -3*g**2 - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - c**2. Let f(n) = -3*n**3 - n**2. What is -6*f(t) + 4*q(t)?\nAnswer: 10*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1249.2 + -1249. Let p = -69 + 70.4. What is the third smallest value in -5, b, p, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22548 (base 10) in base 13?\nAnswer: a356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -18. Let i be 6\/(-2) - (-1 + j). Solve 3*b + 1 = -t, i*b + 2*b = t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -5*u - 46. Suppose -540 = -t - 17*t. Calculate the remainder when u is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39163 divided by -3487\nAnswer: -39163\/3487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 81 = -3*v, q + 0*v = -4*v + 4. Let y = q + -2. Calculate the remainder when 65 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11 - 11 - 2*c**2. Let f(m) = -m. What is f(q(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3006*r**3 + 2*r - 17983 wrt r.\nAnswer: -9018*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345733 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 84932, 84914, 84888, 84854, 84812?\n\"Answer: -4*m**2 - 6*m + 84942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16015 and 59098553.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-13) + 621\/(-104). Let j = -3\/4 - c. Calculate the common denominator of j and 41\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -26 + 0 + -23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(2\/7)*g*(g\/g**(-5))\/g*g)\/((g\/g**(-1\/2))\/(g*g*g**(-2\/17)*g)) assuming g is positive.\nAnswer: g**(2403\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 6. Let f = -10 + 13. Suppose -3*g - 4*o = -1, f = -3*g - 0*g - 3*o. What is d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -15 + -1 - -45\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -11*z + 8*z + 372, -5*z - l = -592. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or 32962.5?\nAnswer: 32962.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204152 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + 4 + (-13 - ((-19 - 12) + 5) - 10)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) -55 (c) 23 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.24, -161245.36?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n - 6 = -67*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27, 1, -1, -8 in descending order.\nAnswer: 27, 3, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7715*i**2 - 548*i + 3 + 548*i - 3 in the form x*i + n + d*i**2 and give d.\nAnswer: 7715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:09 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -479*r**3 - 3*r**2 - 2*r + 1. Is 40 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417991902.\nAnswer: 2, 3, 683, 101999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h + 4. Suppose -3 + h = r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*d + 81, -5*j - 43 - 11 = -2*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -55*t - 212. Suppose -4*p + h = 168, -5*h + 81 = -3*p - 28. Is w(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1025437 divided by -3899\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14227, 28481, 42731, 56977, 71219?\nAnswer: 85457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 24, 39, 56, 75?\n\"Answer: v**2 + 10*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*v = -413*v + 1940 + 2372 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11099 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: Work out -1085 * -11.17.\nAnswer: 12119.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 plus 11.26569?\nAnswer: -40.73431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:30 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 3*v + 6*v + 6*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -4917645, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221 + -213. Calculate the smallest common multiple of g and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12210 + 12264. Calculate the least common multiple of q and 1044.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*w - 758 + 128. Put 0, 5, w in ascending order.\nAnswer: w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k**2 - 632*k + 1843. Determine f(-66).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -140. Let z be ((-10)\/25)\/(2\/i). Solve 0 = z*p - 2*c - 8, 0 = -2*p + 4*p + 3*c - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(7 - 5 - 5*n - 1).\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1475*d + 1568*d = 372 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 118. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8237*c - 8687 + 2896 = 6508*c - 116447 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/18710 and -47\/140325?\nAnswer: 280650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 4*h + h**3 + 1 + 5\/2*h**2. Calculate s(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**2 + 59*i + 13. Let w be t(-2). Is w smaller than -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/(-350))\/(2\/10) - 14\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight sevenths of a week in minutes?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - r - 130 = 72, 2*h + 194 = -3*r. Let f = 279 + h. What is the greatest common divisor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/3))**(-13))**(-22)\/((x\/(x\/x**(-1\/2)*x))\/x**(3\/4))**48 assuming x is positive.\nAnswer: x**(896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-8) - (-5 - 114\/(-24)). Let x(n) = -5*n + 30. Calculate x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**2 + 12*s**2 - 40*s**2 + 15*s**2.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -56*z**3 + 2*z**2 - 168*z - 334. Determine s(-2).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -104*i + 29747. Let h be g(286). Factor -1\/4*y**h + 1\/4 + 1\/4*y - 1\/4*y**2.\nAnswer: -(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v. Suppose v = -9*m + 5*m + 8. Suppose m = -3*u + 14. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115933077\/10 or -11593307?\nAnswer: -11593307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62.1521950205 and 131.\nAnswer: 193.1521950205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74.81973 nanometers?\nAnswer: 0.00000007481973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s. Suppose 2*w + 2 + 2 = s. Let i = w + 7. What is the third biggest value in -3, 0.1, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/(-15) + 2\/(-5). Suppose -57 = -4*z - c, -2*c - 1 = q*z - 40. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 - 3 = 0. Suppose -16 = -i + 3*j - 5*j, 53 = r*i - 3*j. Let d be ((-3)\/4)\/((-2)\/176). What is the highest common divisor of i and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011202 (base 3) to base 14\nAnswer: -261b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-100)\/30. What is the third derivative of 33*h**5 - 70*h**5 + 14*h**2 + 38*h**o wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 507.56um?\nAnswer: 507560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39365\/6 + 1574213\/240. Let w = -13\/16 - i. Factor -16\/5 + 4*v**3 - w*v**5 + 4\/5*v**4 - 4\/5*v**2 - 32\/5*v.\nAnswer: -4*(v - 2)**2*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135180.2 centuries in years?\nAnswer: 13518020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230175000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 15. Let v = -72424.5 + 72425. Which is the smallest value? (a) t (b) 2\/17 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**20\/((j\/(j*j*j**(-22\/9)*j))\/j))\/(j**(-5)\/j*j**(2\/3)*j))**(-27\/4) assuming j is positive.\nAnswer: j**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54208, -54204, -54200, -54196?\nAnswer: -54192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 10, 0, -5.\nAnswer: -5, 0, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1265607 and 837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = 3*q + 52. Put 4, q, -7 in decreasing order.\nAnswer: 4, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:01 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -14. Let j be (-1 - (-14)\/5)*h. Suppose -j - 19 = -f. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.4933 nanograms to micrograms.\nAnswer: 0.5484933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 11.7. Let h = 28 - y. Let r = h + -19. What is the closest to r in 2\/13, -1\/6, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 6, -4, 1 in increasing order.\nAnswer: -4, -1, 1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 62 (c) 1\/5 (d) 138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 9:54 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-35) - (-6)\/15. Which is the closest to -0.3? (a) -1\/2 (b) n (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68480 - 4?\nAnswer: -68484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d + 5*d. Let n(s) = s**3 + 4*s**2 - 9*s - 16. What is the least common multiple of (d - 4) + 7 - -2 and n(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/((-78)\/(-84741)) + 2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*z)*(z + z + 0*z)*(-4*z + 5*z + z)*(-10*z - 8*z + 4*z).\nAnswer: -112*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) 1184 (c) 1\/72 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)\/(1\/3976051). Let j = s + 2176051. What is j rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 21. Suppose -5*h + r = -23, -5*h = -4*h - u*r + 3. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**2 + 1. Let l be -4 + (-9)\/(-3)*-1*-3. Let x(j) = 2*j - l*j + 13*j + 3*j. Give p(x(g)).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8976.414 months in years?\nAnswer: 748.0345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 - 6. Suppose 2*n + 6 = -0, p - 2*n - 9 = 0. What is the units digit of k(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*r + 5*m, -3*m = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4)*(-9 + -27). Suppose 2*i - 3*g + k = 0, 5*i - 6*i - 14 = -2*g. Let o be 2\/i*3*-4. Solve 4*p - 3*p = x - 3, 2*p - 10 = -o*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxsdlxdllsrxx. What is prob of sequence sr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(32\/5) assuming j is positive.\nAnswer: j**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**20\/h**(-2\/49) assuming h is positive.\nAnswer: h**(982\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -401*x**2 - 8*x - 634. Let i(n) = 1604*n**2 + 36*n + 2532. Let r(v) = 2*i(v) + 9*u(v). Find the first derivative of r(g) wrt g.\nAnswer: -802*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 35. Let u = -12 + a. Calculate the lowest common multiple of u\/25 - (-136)\/10 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + 2 + (-2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6)*9*4\/(-3). Solve -y*i = -5*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 5*p + 4*i, 4 = 2*p + i. Suppose p*a = -2*b + 216, 0 = -3*a - 2*b + 113 + 210. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.8. Which is the fourth smallest value? (a) 3 (b) u (c) 0.2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23917 is divided by 5963.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8862?\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**3 + 14*u**3 + 0*u**3.\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 + 2010*d**3 - 56248*d**2\/7.\nAnswer: -2*d**2*(d - 7031)*(d - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/120 - 2*b**5\/15 - b**4\/8 + 23*b**3\/3 + 340*b**2 + 2*b. Determine o(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10943954 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1. Let o(w) = w**2 + 8*w - 4. Let n(k) = -o(k) - 4*t(k). Give n(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*m + 290*m - 256*m to j*m + p and give j.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 730?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 19*k + 30. Let t be y(0). Solve -2*p + s + t = 6*s, 0 = -4*p + s + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 322*s**2 + 3*s - 1521?\nAnswer: 644*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 11. Let m(z) = -z + 12. Determine -3*b(j) - 4*m(j).\nAnswer: j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82.8 + 83. Which is the third smallest value? (a) j (b) 1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2 - 16342106*g - 25796747 wrt g?\nAnswer: 4*g - 16342106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o - 61*o + 344847039 = -923672961. What is o rounded to the nearest 1000000?\nAnswer: -317000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-15)\/r)\/r)\/r*(r\/r**(-16))\/r*r)\/(r*r**(-5\/4)*r\/(r*r*r**1*r)))**(1\/47) assuming r is positive.\nAnswer: r**(13\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16*f**2 - 16*f + 10. Let b(w) = 3*w**2 + 3*w - 2. Let s(m) = -11*b(m) - 2*y(m). Let d(t) = -4*t**2 - 13*t - 12. Let g be d(-1). Determine s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.3 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**2 - 126*c + 639. What is k(-22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/26974495 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 213 = -4*b. Let i = b + -38. Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/14 - (731 - 739)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c - 4. Calculate z(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 3*z**2 + 2*z. Let s be k(-2). Suppose -3*n + 74 - 17 = 4*j, s = -2*n - 5*j + 31. Does n = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55189 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44411.483 and 0.07?\nAnswer: 44411.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*g - 43*g + 22*g + 4*g)*(5*g - 5 + 5).\nAnswer: -415*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -47*i + 298. Is b(-10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9132 != -9109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**2*f*f)\/f)**(-29)*(f**(-1\/5))**27 assuming f is positive.\nAnswer: f**(-607\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i = 0. Let o(w) = -w**3 + w + 4. Let t be o(i). Let h be (-2)\/t*(-2 + 2). Solve h = -2*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2 (c) -0.5 (d) -0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c - d + 617 = 0, 0 = -3*c + 3*d + 363. Suppose -10*b = 6947 + c. Let k = b + 1126. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/207*72\/(-16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 1}. Give prob of picking 1 g and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113254.7693 plus 0.09?\nAnswer: 113254.8593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - v**2 - 4*v**3 + 2*v**2 - 8 as x*v + f*v**3 + b*v**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blgzbzzzblbgbblbzbl. Give prob of picking 1 z and 3 b.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133312677?\nAnswer: 3, 44437559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - s - 43692 = -43670, 49*s + 1078 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16569666*o**3 + 6575384*o wrt o.\nAnswer: -99417996*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 10c9 (base 14) in base 6?\nAnswer: 21305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139335, -118, 4, -1, 3.\nAnswer: -139335, -118, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 848 + -262?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*n + 533 - 575, -2 = -s + 5*n for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036155266 to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w = 28*w - 56*p - 88, 0 = -4*w - 5*p - 34 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*l + 83, 4*l - 5*y - 51 = 12. Find the second derivative of -25*m + 4*m**4 + 27*m**4 - 38*m + l*m wrt m.\nAnswer: 372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1060 + 1058.239. Let f = -0.239 + z. Put 1\/4, 4, f, 89 in ascending order.\nAnswer: f, 1\/4, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.58922.\nAnswer: 10.60596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -3 (c) 4.97 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6751 + 12351. Calculate the greatest common divisor of 480 and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/((-444)\/3330).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(22 + 2 + -30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 5*s - 4. Let r be o(-2). What is the nearest to 1 in r, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahah when four letters picked without replacement from {a: 13, h: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5139*j + 1 - 514*j - 33733*j - 134369*j - 1)*(-1 - 2 + 1).\nAnswer: 326954*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 18*a - 65. Let d(h) = 2*h**3 - h**2 + 4*h - 14. Let v be d(2). Let y be l(v). Solve -12*j + 25 = -y*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10223666 - 22*m**2 - 5111815 - 5111851.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8536706*j**3 - 28980465 wrt j.\nAnswer: -25610118*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*l - 98. What is the greatest common divisor of l and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49296, -98599, -147898, -197187, -246460, -295711, -344934?\nAnswer: -394123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 85\/3. Let t = -2 + -3. Let v = t - -5.4. Which is the closest to l? (a) 0.1 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 2*s**2 - 2*s + 3*s - 4*s**2 as v + j*s**2 + l*s and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(-3*y + 5*y - 3*y) + 76*y - 11*y - 2*y**2 + 2*y.\nAnswer: -3*y**2 + 67*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 20. Suppose 0 = -2*l + 2, -l + 1 = -4*n + p. Suppose 0 = 2*v + 3*x - 1900, 1 = x - n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 11\/2*b**2 - 3*b - 1\/20*b**5 + 0 - 7\/6*b**3 + 3\/4*b**4. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 218, -79, -0.3, -3, 0.1 in decreasing order.\nAnswer: 218, 0.1, -0.3, -1, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3157 and 15444331.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2342 - -11551. Round h to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 3*q**2 + 17*q + 2. Let c be f(-4). Let y be ((-10)\/(-3))\/((c\/(-15))\/11). What is the smallest value in 0.4, -2\/13, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 3*k**2 + k - 1. Suppose -c - z = 6, 18 = -2*c - 3*z + 4*z. Let a = -20 + 31. Let g = a + c. Let y(i) = i**3 + i**2 + i. Give g*y(f) - t(f).\nAnswer: f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a*q**4*z + a*q**3 - 7*a*q**2*z + a*z - 33*a - q*z + q - 8*z wrt q.\nAnswer: 96*a*q**2*z + 6*a*q - 14*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37161\/8 or 4646?\nAnswer: 4646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35664 divided by 17832.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*c - 16 - 0, -4*c + 2 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 539490700 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/(((r*r\/(r*r**(7\/5))*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 + 107. Which is the second biggest value? (a) 3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (2 - 2 - 0). Suppose s*l = 4*l - 14. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*m**3*t - 730577*m**3 + 2843*m**2*t + 2*m*t wrt t.\nAnswer: 17*m**3 + 2843*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1870\/340 + 235\/10\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2\/5 + 24*n + 1173\/5 = 0.\nAnswer: -23, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1)*11\/(-88).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.907 - -0.207. Let j = -11.1 - q. Let c = -51 - -256\/5. Which is greater: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmopmpcemooeoppppooo. Give prob of picking 1 e and 2 o.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -2121.8944822?\nAnswer: -2121.7944822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and 2?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -413973880, -413973879, -413973878?\n\"Answer: j - 413973881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:21 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -113*v**3 - 3*v**2 - 68*v - 66. Determine p(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - sqrt(91)*3) + sqrt(91) - sqrt(91))\/sqrt(7))**2 + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(((-44604)\/(-4661))\/108).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**3 + 3949*g**2 - 3949*g**2 + g. Let q(c) = -11*c**3 + c. Calculate 3*q(a) - 2*r(a).\nAnswer: -11*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 8, 15 in descending order.\nAnswer: 15, 8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -24. Let o be (-7 + 1)*(-6)\/z. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938608621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 19*q**2 + 62*q + 37. Determine r(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-11))\/1 + -1. Let l = 4 + 0. Suppose 0 = o + s - 3, -l*s - 9 = 5*o - 7*s. Is o greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x - 381 = -69 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12762178, -12762174, -12762158, -12762124, -12762066?\n\"Answer: b**3 - 3*b - 12762176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 = 7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 29*f + 9)*(-23 + 55 - 5*f - 26).\nAnswer: -145*f**2 + 174*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -588 divided by -43643\nAnswer: 588\/43643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100706 or -100667?\nAnswer: -100706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*l - 502*l - 368 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -13 + 4. What is the tens digit of (66\/(-9))\/((-2)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220762578 + -0.1.\nAnswer: -220762578.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020 + 0?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 z when three letters picked without replacement from zuxnzxx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 862, 2, -4 in increasing order.\nAnswer: -4, 2, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:56 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjrn when four letters picked without replacement from {q: 3, j: 5, r: 2, n: 3}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1445, -1453, -1461, -1469, -1477?\n\"Answer: -8*j - 1437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 16*y - 93. Determine x(16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-42 + 98 - (0 + 8)) + -17\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 8991*w - 8989*w - 66)*(-3*w + 4 - 4) to the form n + s*w + y*w**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9843161 or 0?\nAnswer: -9843161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.10508 (b) 5 (c) 2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-48)*432\/(-360).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22001 (base 3) to base 14\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l - 8. Let x be b(1). Suppose -x*k = -k - 1182. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*c + 34, 0 = 3*f - 2*f + 4. Let n be (2\/2)\/(3\/c). Suppose -n*g = -5*i + 2, -10 = -6*g + g + 5*i. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 40*o - 2. Let t be 2 + 1 - (-1 + 3). Is i(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -82. Let t = u - 137. Let w = t - -61. Which is the nearest to w? (a) -5 (b) -0.2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - v**3 + 0*v**4 + 223*v**2 - 9*v**4 - 222*v**2 - 4*v**4 + 3*v**4 - 3*v**4 + 3 + v**4 - 3 + (-v + v - 2*v**2)*(-2*v**2 + 0*v**2 + v**2).\nAnswer: -10*v**4 - v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.113 + 0.213. Let x(i) = i + 5 - i**3 - 9*i**2 - 3*i - 3 - 5. Let q be x(-7). Which is bigger: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5256*m**5 - 21829*m**3 + 153743765*m**2 wrt m.\nAnswer: -315360*m**2 - 130974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*v - 4*n, v + n + 2*n - 24 = 0. Let l = -23 + 34. Let d = v - l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16531 + 4091. Let f = 12622 - d. Round f to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/11, -1\/56 in descending order.\nAnswer: 0.1, 1\/11, -1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*t**3 - 2786*t**3 + 220*t**3 + 4*t**2 - 287 - 3*t**2 + 287.\nAnswer: -2880*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1760 and 11\/16960.\nAnswer: 186560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 677983.2 - 677983. Let d = -33 - -33.17. Is d less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -104*l**2 + 32*l - 32. Let a(t) = 16*t**2 - 5*t + 5. What is 32*a(w) + 5*k(w)?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, w: 2}. What is prob of sequence wxw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6630*g - 240459 - 740*g + 240459.\nAnswer: 5890*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:10 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 7*v + 14. Suppose 2*l - v = -8. Solve 4*h = l + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 - 17 + 164)*((-b + 0 + 0)*(-1 + 1 + b) + 0*b**2 - 7*b**2 + 15*b**2 + 2*b**2 + 0*b**2 - 3*b**2)*(9 - 2 - 3) to z*b**2 + f + q*b and give z.\nAnswer: 4632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*y**3 + 53*c**2 + 55*c - 18783*y**3 - 1 wrt y.\nAnswer: -3*c**2*y**2 - 56349*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 4*n - 57, 0 = 3*n - 4*t - 42. Solve -3*k + 10 = 4*z, -4*z = -2*k - 2 - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3 + b**2 + 14*b + 3. Suppose 22 = 209*k - 213*k - r, 0 = -2*k + 5*r. Let y(q) = q**2 - q - 7. Give k*y(f) - 2*w(f).\nAnswer: f**2 + f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, 16, 0.1, 3 in decreasing order.\nAnswer: 16, 3, 1\/3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/21)\/(2*(-1)\/831). Suppose f*u - 1510400 = 269*u. Round u to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108319925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 2181*z**4 - 28*z**3 + 2178*z**4 - 16 + 27*z**3 in the form y*z**4 + m*z**3 + p*z**2 + s*z + r and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + v + 4*v - 2 + 0. Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*b = -59, -t + 4*b = 2*b - 56. Let g = -47 + t. What is the highest common divisor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1354345, 2708552, 4062759?\n\"Answer: 1354207*b + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 5. Let s be f(0). Let i(h) = h - 1. Let o = 0 - -1. Let j be i(o). Sort s, j, -1 in descending order.\nAnswer: s, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 311*g**3 + 3*g**2 + 3*g + 276. Let i(d) = -309*d**3 - 2*d**2 - 2*d - 276. Let v(n) = -3*i(n) - 2*o(n). Find the first derivative of v(p) wrt p.\nAnswer: 915*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1.725472.\nAnswer: -1.725472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (10 + -8)) + -5 + (63 - 2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -20100 bigger than -20764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4) + -5 + (-5 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -16*z**3 + 20*z. Let n(t) = t**3 - t. Suppose 24 = u + 4. Calculate u*n(r) + h(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*v = 19*o - 15*o + 9*v + 504, v + 130 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 860*f - 5925. Calculate y(423).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -m - 7, 3*m - 3*b - 69 = -63 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10965252.106 plus 50?\nAnswer: 10965302.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s**2. Let j(l) = -111*l. What is z(j(m))?\nAnswer: 123210*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108238 (base 9) in base 4?\nAnswer: 33320312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -4 (c) 0.4 (d) -2598 (e) 0.1 (f) 22 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100561084 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -559\/4. Suppose -5*z - 1 + 1 = 0. Suppose 3*g + y = -z*y + 6, g - y = -2. Sort p, -5, g in decreasing order.\nAnswer: g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 4, r: 2}. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.31713 rounded to 1 dp?\nAnswer: 119.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 30 - 10 - 21.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.583 + -3.583. Suppose -5*h - 5 = 5*w, -9*w + 4*w = -h + 17. Let a be 1*(h + 1)\/(-9). Put o, -4\/3, a in ascending order.\nAnswer: o, -4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2251122195 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -33667\/918 >= -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32266 is divided by 89?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 14 + 3 + 7 + 6.\nAnswer: 15*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3103806*s**2 + s - 16754613 wrt s.\nAnswer: -6207612*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310270 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 divided by 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 2 + 9 + 0 + 0. Suppose -d*q + 11*q = 192. Let s = 95 + q. Let h(a) = -a**3 - a**2 + a + 1. Give h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*a + 150 = -233*a. What is the smallest value in 4\/19, -3\/4, a, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27155 * -915.4.\nAnswer: 248.57687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 14, 12, 8, 2, -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 + -50.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 8*r = -70 - 18. Suppose -2*w = -9 + 13. Sort 5, r, -0.05, w in decreasing order.\nAnswer: 5, -0.05, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16522 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 0.8. Put -1\/6, 2\/3, h in decreasing order.\nAnswer: h, 2\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 79*w - 10. Let p be t(-16). What is the units digit of (-3)\/((-6)\/220 + p + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - r - 2*r)*(5 - 20 - 5)*(5 - 3 + 0)*(0 + 0 - r) in the form v*r**2 + f*r + h and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6962686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000061586 rounded to seven decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12*x - 115. Let d be t(-11). Sort 2, d, 3.\nAnswer: 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 4*l**3 + 2 + 4*l - 4198*l**2 + 4195*l**2. Let f(r) = -r**3 + r**2 - r - 1. What is 2*f(x) + s(x)?\nAnswer: 2*x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/6 - 3*j + 26. Let n(c) = -c**2. Give n(v(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -75, -73, -61, -33, 17, 95?\n\"Answer: n**3 - n**2 - 2*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.6 + -4. Let q = 599\/3738 - -4\/623. Put -5, q, c, 1 in descending order.\nAnswer: 1, q, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 1. Let z be x(-1). Suppose 0*p - 4*p = 5*v - 41, 2*p + z*v = 23. Let q = p + 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142621 microseconds in nanoseconds?\nAnswer: 142.621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 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: Which is the closest to -2\/3? (a) -1.6 (b) -1\/5 (c) -271\/5 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5*20\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -208072, -416212, -624362, -832528, -1040716, -1248932?\n\"Answer: -z**3 + z**2 - 208136*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4603441365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894*b - 176 = -806*b. Let s(r) be the second derivative of -5*r**3\/6 - r**2\/2 + 3*r. Calculate s(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00576468826 to five decimal places.\nAnswer: 0.00576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 + 4*t + 9. Let a be l(7). Let b = -6 - a. Suppose 3*j = r + r + 38, -2*j + 21 = 3*r. Calculate the lowest common multiple of b and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 53. Let l be r(-7). What is the derivative of 99 - 21*s + l*s + 5*s wrt s?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 2:36 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/3, -49, 52?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + 0.1. Which is the third biggest value? (a) 1\/2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70415.22864 + -73058.107. Let k = h + 2650.18. Let a = -7.3 + k. Round a to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*w - 35 = -0*m, -w = 2*m + 13. Let q = -160 + 159.7. Sort 3\/5, 5, q, m.\nAnswer: m, q, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrry. What is prob of sequence ryrw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiztzitiftifiifziez. What is prob of sequence fze?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) -6187\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:08 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 12) to base 6.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -11*y**5\/20 - 13*y**4\/12 + 1403*y**2\/2 - 633*y. What is the first derivative of f(d) wrt d?\nAnswer: -33*d**2 - 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 139*z**2 - 5*z.\nAnswer: -139*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 256480 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4 and 36\/(-27) - (-67)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*c = 4674, 0*f + 7782 = -5*f + 3*c. Let a = -914 - f. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 144. Let t = -42 + o. Let k = t + 251. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 54550, 2\/3?\nAnswer: 54550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8259 - 2371 - 1878)*(-2*p**2 + 3*p - 3*p + (0 + p**2 + 0)*(3 - 3 + 1) - 6*p**2 - 2*p**2 + 0*p**2) in the form f + n*p + i*p**2 and give i.\nAnswer: -36090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 b, and 1 q when four letters picked without replacement from {q: 1, b: 2, y: 1, v: 3, r: 2, m: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2. Let k(o) = -1243974*o**2. Give k(n(g)).\nAnswer: -19903584*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1616 divided by 55\nAnswer: 1616\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3306 and 2404020714.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 25*x**2 + 5*x + 117. Calculate k(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6630b (base 13) to base 8\nAnswer: 551352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2208752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 - 2\/(-8). Suppose 4*a = 3*u + 4, 4*a = 9*a - 3*u - 2. Sort 2, d, a.\nAnswer: a, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a - 9. Does 11 divide -1 + (a - (-29 - -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s + 7. Let r(n) = -13*n - 6. Let j(t) = -t**2 - 17*t + 43. Let i be j(-19). Give i*o(x) + 6*r(x).\nAnswer: -8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -5*p + 5*w, -7*p = -2*p - 2*w - 184. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13614886 rounded to the nearest one hundred thousand?\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131005 and 6251?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 742439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) 0.5 (c) 0.4 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in -5, 188, 5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1088) + 1 + -3 + -1*sqrt(1088)*-6))**2 + 5.\nAnswer: -896*sqrt(17) + 213269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(((n\/((n**(-12)*n*n)\/n))\/n)\/n)*n**(2\/3)\/n*n**(1\/9)*((n*n*n*n*(n*n*n\/(n\/(n**3*n)))\/n*n)\/n*n)\/n*n assuming n is positive.\nAnswer: n**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 32, 53, 80, 113, 152, 197?\n\"Answer: 3*c**2 + 6*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*(19 - 1111\/55). Let r(v) = -3*v**3 + 3*v**2 - 2*v + 7. Give r(f).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -811*j - 1772. What is z(-3)?\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0\/(-2))\/(-1). Let n(t) = -5*t**2. Let q be n(1). Put 3, q, p in increasing order.\nAnswer: q, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y + 3. Let i be u(-3). Suppose -3*p + 2*d - 12 = 0, 5*p = -3*d - 2 + 1. Let c = i - p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1992 - 1981. Put -0.02, r, 0.5, 0 in descending order.\nAnswer: r, 0.5, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247546 and 239434?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6*s = 12, 587 = -3*k + 3*s + 569 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 669302.2 or 2?\nAnswer: 669302.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 23*r**2 + 59*r - 2266. List the prime factors of o(45).\nAnswer: 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*y + 1 - y**3 - y**2 - 3 - 38*y + 75*y to the form b*y**2 + l + c*y + r*y**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*(-4)\/50*(-90)\/36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533440498 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/224)\/((-5)\/(-20))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 178 = 29. Suppose 68*m - y*m + 10 = 0. Let c(k) = -m*k + k**3 + 5 - 9*k**2 - 7*k + 26*k. Calculate c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/180 and 19\/1020.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94536.26t in nanograms?\nAnswer: 94536260000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 105373581230.\nAnswer: 105373581224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 25*i - 17. Suppose -3*k + 48 = 4*u, 15*k - 2*u = 17*k - 36. Calculate d(k).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:29 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -241, -968, -2157, -3790, -5849, -8316, -11173, -14402?\n\"Answer: 3*f**3 - 249*f**2 - f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6548 - -6788. Solve -b*u + 234*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 2\/3, 2406, 1\/3, 1.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18494 and 7.\nAnswer: 18494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -13, -51, -125, -247, -429?\n\"Answer: -2*y**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184370?\nAnswer: 2, 5, 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 times -23\nAnswer: 6.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92540 is divided by 243?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1*sqrt(2448)*3 - ((-2 + sqrt(2448))*1 + sqrt(2448)))**2.\nAnswer: 96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 + 34 = -10*a - 10 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 3*c + 4. Let w be 0\/4 - (0 - 2). Let z(o) = -2*o - 3. Let g(b) = w*j(b) + 3*z(b). Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1915554 + -1090531. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*c - 36, 3*g - 7165 = 2*c. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 882.809 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4114658 - 679379 = 3*q. Let w be 33794160\/9 + 1\/3. Suppose -v + w = -q. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -130a09?\nAnswer: 130a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - 3 - (20 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e46b24 (base 15) in base 10?\nAnswer: -10856509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 8. Suppose 5*a - 29 = 6. Let x = a + h. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2 + 6948*g + 4022892 = 0.\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3066 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from {f: 2, i: 5, h: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0*q**2 + 0*q**2 - 3*q**2. Let k be 1*((-80)\/4)\/(-4). Let t(u) = -u**2. Let h(n) = -3*n**2. Let r(z) = -6*h(z) + 14*t(z). What is k*r(o) + 6*p(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 128267585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*n - 45*n - 41*n + 217*n - 36*n - 40*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6623572 - -152?\nAnswer: -6623420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 141. Let o = -51 + m. Suppose -3*b = 2*b - o*k - 186, 0 = 3*b + 2*k - 123. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1312, 5241, 11800, 20995, 32832, 47317, 64456?\nAnswer: 84255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 11 - 8)*(4 - 1 - 2)*(2*h - 1 + 1)*(-1 + 0 + 0) as t + s*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -83.9. Let j be 2\/(-15)*5*1. What is the nearest to y in -3, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -3243561?\nAnswer: -3243602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 21. Let j be -3*4\/(-12)*19. Suppose -4*t + 29 + j = 0. Let g be h(t). Sort 4, -4, -1, g in ascending order.\nAnswer: -4, g, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i - 1. Let z be d(0). Does z = 5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 + -0.4. Let m = d + -2. Let l = -0.2 + -0.3. Which is the nearest to 0? (a) l (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 4 - (7 + -3 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6*v + 3. Let c be k(6). What is the third derivative of -9*o**3 - 4*o**3 - 18*o**2 - 6*o**3 + c*o**2 wrt o?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -9, 0.3, -2\/27, -2\/63 in increasing order.\nAnswer: -9, -0.2, -2\/27, -2\/63, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/11 - 20920*t**2\/11 - 377046*t\/11 - 1697436\/11 = 0. Calculate t.\nAnswer: -9, 10478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 8, 6\/11 in increasing order.\nAnswer: 1\/4, 6\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -11 - (-2 - -4 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -105*c + 2. Let i(y) = 44*y**2 + 1583*y. Give i(q(x)).\nAnswer: 485100*x**2 - 184695*x + 3342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7a (base 12) to base 2\nAnswer: 1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 87815 + 1576*p + 87815 - 786*p - 790*p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5814 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssvs when four letters picked without replacement from ssssvsvsasav.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365695 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-9 - -8)*1)\/(1\/(-83)) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*j - 2*j. Sort -1, 5, j, 1 in descending order.\nAnswer: 5, j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51\/10 in 31, 152, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-12))\/(3*(-4)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 17 + -17 - -37\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4956 or 4925?\nAnswer: 4925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t**3 - 10*t**2 - 25*t - 79. Let y(c) = -5*c**3 - 5*c**2 - 8*c - 26. Let k(u) = -4*n(u) + 11*y(u). Determine k(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, e: 2, h: 4, d: 3}. What is prob of picking 2 d and 2 e?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4581?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8286464.\nAnswer: 2, 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 25. Let r(z) = -13*z**2 + 9*z - 9. Let j(h) = -3*h**2 + 2*h - 2. Give d*j(f) + 4*r(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 6. Let y(d) = -24*d - 12 + 44 - 19. Let w(q) = 13*a(q) + 6*y(q). Let f(h) = 9*h - 2. Give w(f(v)).\nAnswer: -9*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*r - 2*o + 28, -4*o + 8 = 3*r. Let c be r\/((-1)\/(-3) - 0). Solve -5*t = -c + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.2165437 - -0.1.\nAnswer: 11.3165437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.61, 0, 0.4, 4, -0.18?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 1\/7, 9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 - 5 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5, -6*j + 18801 = -5*o + 18866 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let g be (-26 + -1)*2\/h. Let q = -13 - g. Sort q, -3, -10 in descending order.\nAnswer: q, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 105\/10 + 2 - (-1)\/(-2). Suppose -q*s = -4*s + 400. Let h be 17\/(-3) - s\/75. Which is the closest to 0.2? (a) 0 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2. Suppose 5*p = 3*d + 17, 0 = 7*d - 6*d - 1. Suppose -3*a = -2*a - 8. Let w(z) = p*z + a*z - 6*z + 10*z. Calculate w(q(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*y**2 + 9 - 9 + 15*y - 35*y**3.\nAnswer: -5*y*(y - 1)*(7*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8175\/(-50))\/(186\/124).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -264695.2 rounded to the nearest one thousand?\nAnswer: -265000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 575954749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 112 - ((3 - -5) + -2). Suppose 0 = 19*l - c - 293. What is the greatest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-28)\/v*v)\/v*v\/(v*(v\/(v**(-5)*v))\/v*v)*v)\/((v\/(v**(-24)*v*v))\/v*v**(-3\/23)*v) assuming v is positive.\nAnswer: v**(-1285\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-20)*1\/2*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 take away -52?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 277*o + 1450 - 840 + 6869 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407068 = 59*y - 55003195. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79272730522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -166629, -332716, -498803, -664890, -830977?\n\"Answer: -166087*w - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -5. Let i = -38.4 - f. Round i to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 13*d + 272 = 16*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -653187 and 0.4.\nAnswer: -261274.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 81 (b) -9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -5\/2 (c) -54 (d) 1\/6 (e) 3\/4 (f) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5032 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10614\/203*(-7)\/(-4)*38\/171*3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.014 (b) 2\/237 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 69*k - 6. Let n(u) = 46*u - 4. What is 7*n(w) - 5*z(w)?\nAnswer: -23*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:30 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 - (-7 + -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6176513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 865, -4, 4 in decreasing order.\nAnswer: 865, 118, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 0 - (5 - (-553)\/(-77)). Factor 2\/11*q - 4\/11 + u*q**2.\nAnswer: 2*(q - 1)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(112\/(-6)))\/((-6)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/13 and 46\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-345)\/(-27) + 4\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 433 - 430. Solve 5*f - y = 7, -f - v*y - 8 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-1)\/10). Let p = 8 - 11. Let v be p*(3 + (-2 - 0)). Which is the nearest to 0.1? (a) x (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 9*m + 1. Let u be z(-9). Suppose 4*x + u - 5 = 0. Let h be 2 - ((x - 5) + 2). Solve 5*y + h*o = -36, 2 - 6 = o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 0.3, -3 in ascending order.\nAnswer: -3, 0.3, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 4, -1207775 in increasing order.\nAnswer: -1207775, -103, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6270 + 6269.9999990053. What is q rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 65*w**2 - 121*w - 49. Let x be k(63). Calculate the highest common factor of x and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5329, 0.3, -4 in descending order.\nAnswer: 0.3, -4, -5329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3452911*b + 8 = -3*w - 3452916*b, 9*w + 3*b + 12 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(71*i**3 + 18*i**3 - 21*i**3 + (0*i + i - 3*i)*(-20*i + 20*i + 4*i**2)) to t*i**3 + g*i + y*i**2 + s and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - l = -z + 19, -4*l - 28 = -4*z. Solve -2*p + z = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58 * -0.27\nAnswer: 0.1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 + 155.1. Which is the nearest to m? (a) -5 (b) 0.06 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*d + 15 = v, -3*d + 9 = v. Let k = -9 + 21. Suppose 8*n + 24 = k*n. What is the least common multiple of v and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/27 - 20823\/(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4948 - -12184. What are the prime factors of n?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + y. Let z be u(-2). Let i(p) = -8*p**3 - 6*p**2 + 6*p - 2. Let h(d) = -d**3 - d**2 + d. Let j(x) = z*h(x) - i(x). Differentiate j(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222066 divided by -12337\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*p - 4*p - 392 + 181 = -182, 30 = 5*k - 5*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h*h\/(h\/(h*h*h\/h**(6\/5)*h))*h)**32 assuming h is positive.\nAnswer: h**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 3*s + s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 290.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*4\/2*-5*419\/(-2095)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 515, 642, 775, 914, 1059, 1210?\n\"Answer: 3*c**2 + 118*c + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.3, -16.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 59.78. Put 1, 5, j in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:23 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, t: 2, s: 1}. Give prob of picking 1 g and 1 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28320?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 46. What is the second smallest value in w, 5, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*g**2*u - 15254*g**2 - 6*g*u - 378*g + 29242*u wrt u.\nAnswer: 100*g**2 - 6*g + 29242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -377, 3, -0.3, 1.4, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 6\/197369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/5 + ((-12)\/10 - -1). Suppose 3*y + 0 = -5*u - 10, -5*y - 5*u = 10. Suppose 0 = -y*o + 8*o - 9*o. Sort 3, 2, o, l in decreasing order.\nAnswer: l, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -393\nAnswer: -10\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 13*d**2\/2 + 28*d + 35. What is the first derivative of o(y) wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {i: 5, u: 3, f: 1, c: 1, q: 2, t: 2}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(3)*-1 - sqrt(3)) + sqrt(3) - (sqrt(3) - -1*sqrt(108))**2) + (sqrt(3)*2*-6 - 4*(1 + sqrt(3)))**2.\nAnswer: 123*sqrt(3) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 722*a**3*f**2*p**2 - 3*a**3*f*p**3 - a**2*f**2*p**3 + 21*a**2*p + 6*f**2 wrt a?\nAnswer: 4332*f**2*p**2 - 18*f*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17584.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a**(2\/9))\/(((a\/(a*a*a\/(a**(3\/2)*a*a)))\/a)\/a**(1\/7)) assuming a is positive.\nAnswer: a**(-955\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 189 = -7*j. Let q = j - -41. Suppose q*a - r - 52 = 3*r, 5*a = 4*r + 84. Solve -15 = 4*t - k, 0 = 3*t + 4*k - 0 + a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:34 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**2 + 4*b + 2. Let j(h) = h**2 - h. Let v = 3 + -2. Let t(r) = v*p(r) + 4*j(r). Differentiate t(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42419611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 715275 and 200?\nAnswer: 5722200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-18)\/(-4))\/((-10153)\/(-440) + -23) and 1218.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l + l)*(-4 + 5 - 3) - 10*l + 4*l - 5*l + 5*l - l - 5*l + (9 + 8 + 5)*(3 - 3 - 2*l) - l - l - 4*l to the form x + f*l and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -310781.493 - -797?\nAnswer: -309984.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - (-10 + 1). Let c(s) = -549*s + 2746. Let y be c(5). Let a(m) = -m**2 + 2*m + 4. Let j be a(4). Sort n, j, y, 3.\nAnswer: j, y, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 6. Let r be n(5). Is 4 a factor of (r\/2)\/((-1)\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*j = 6, -o + 40 = 4*o + 4*j. Suppose o = 15*i - 14*i. Let m be (i\/(-5))\/((-9)\/45). Solve m*x = 3*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66023*q + 22035*q + 21960*q + 22032*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 154, -90, -406, -806?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -2*z + 1683. What is the greatest common factor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 256*t + 1891. Let d be c(-7). Which is bigger: 50\/1857 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18*5)\/(-1 + 2). Suppose -50*t - 82 = 118. Let z = c + t. Does 43 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1007?\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/60 - 3*y**4\/8 - 7*y**3\/6 - 38*y**2. Let r be l(10). Solve 0 = 4*i - 6*u + 2*u + 32, 5*i + r*u + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4*6\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/3 - 578*x**2 - 160314*x - 41661514\/3 = 0. What is x?\nAnswer: -347, -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-3))\/(1 + 114\/(-108)) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 - 2 = 0. Let h = j - -3. Let o = h - -44. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64541 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 77 - 17 = 0. Suppose 0 = 2*r - 6 - d. Suppose 0 = 2*n - r + 6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m + 20. Let s = m - -51. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5 - 25\/4*d**2 + 12*d - 1\/24*d**4 + 5\/6*d**3. Let x(a) be the first derivative of z(a). Factor x(u).\nAnswer: -(u - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -j - 19, -5*j - 18 = 4*k - 3*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 98497100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - 12*z**2 + 10*z - 6. Let x(o) = -9*o**3 - 23*o**2 + 19*o - 12. Let k(c) = -11*q(c) + 6*x(c). What is the tens digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943235 divided by -9?\nAnswer: -215915","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1407, -1401, -1377, -1323, -1227, -1077?\n\"Answer: 2*w**3 - 3*w**2 + w - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/299 and 33\/105560.\nAnswer: 2427880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/6)*v)\/v**(-9))\/(v*v*(v\/(v\/(v*v*v**(1\/16)\/v)))\/v*v**(-9\/5)) assuming v is positive.\nAnswer: v**(2537\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 0*b**2 + 4 - 1 - 3*b. Let w be (4\/(-14))\/(5\/(-35)). Let l(s) = 2*s - 11*s**2 + 38*s**2 - 15*s**w - 13*s**2 - 2. What is -2*g(n) - 3*l(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-q**2 - 2*q**2 - q**2)*(0 - 1 + 2) + 4*q - 2*q**2 - 4*q)*(0 + 4 - 2) + (22*q + 34*q - 13*q)*(-q + q + q) in the form j*q + x + r*q**2 and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 159.7, 0.22, -5\/4 in decreasing order.\nAnswer: 159.7, 0.22, -0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 10*l - 597. Let t be p(-25). Solve -24 = t*n - 1531*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*q - r - 244, -4*q + 268 = 4*r. Suppose 2*u - 5*u + q = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 21\/4. Let n be 4\/(-6) - 12\/(-18). Suppose i*a - 45 = -x + 5*x, n = 4*a - 2*x - 30. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 - -231. Let i be ((-54)\/(-12) - 6)*(-40)\/6. Solve -i*u + c*u + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -564022 (base 9) to base 8\nAnswer: -1223213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3 = -w, -5*j + 2*w - 2139 + 2160 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -1, 4415, 0, -3 in descending order.\nAnswer: 4415, 5, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.7948km to meters.\nAnswer: 294794.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -71, -164, -283, -422?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13209)\/(-1258)*2*(-2)\/12)\/1*-20?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 42. Let s be l(-9). Suppose -5*o + 397 = s*d - 44, 0 = 3*o - 4*d - 282. Calculate the highest common divisor of o and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 - d**2 - 2*d + 2 + 4*d. Suppose 5*x + n - 10 = 0, -4*x + n = 4*n - 8. Let v(y) = 3 + 5*y**2 - 2 - 3*y - 8 + 4. Determine x*v(i) + 3*o(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004984425 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -277\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(14*2)\/((-50)\/(-15)). Let v = -91 - -127. Suppose n - 5*o - v + 0 = 0, -p = -n + 2*o. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/35*(-1729)\/1482.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 88, 132, 176, 220?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677884.\nAnswer: 2, 169471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 - 41 = -22*z. Put z, -3, 1, 5 in increasing order.\nAnswer: z, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r + 1. Let q(y) = 21*y + 146. Let p be q(-7). Let x(i) = -5*i - 1. Let d(m) = p*c(m) - 4*x(m). Give d(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5650 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4 + 0)*18\/21\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 3*w - 2*w)*(-4 + 4 + 14*w**4).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + h = 3*h - 24, 2*h + 4 = -2*g. Which is the biggest value? (a) -1 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m + 1. Let g be v(-4). Let r(o) = -3*o - 3*o - g + o. What is r(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4819044 is divided by 283473.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -5*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u**3 - 2*u**2 + 2*u - 1. What are the prime factors of g(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 0.01. Let w = 4 + -20. Let n = w + 16.3. What is the smallest value in i, 2\/3, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(d - 5*d + 3*d) + (-2 + 1 + 2)*(-2*d + 1336 + 1347 - 2519) in the form j + p*d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p = -41*p + 2. Let v = 5\/56 - 3\/8. What is the nearest to v in 0.1, p, 3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232335477 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5649 * -34\nAnswer: 192066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4202920 and 140?\nAnswer: 29420440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -1185, -2187, -3029, -3387, -2937, -1355?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1603501542 to five decimal places.\nAnswer: 0.16035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 457280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 39 = -621*j + 622*j, -6*q + 126 = 4*j. Solve 0 = b - 29 + j for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6 + 1*-2. Suppose -2*j = -x - 20, 2*j - v*j = -2*x - 18. Solve -5*w - j + 31 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-18865)*-42*-28\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 47. Let g be r(-6). Suppose n = 2*z + 5*n - 26, -n + 11 = 2*z. Solve -5*t + x = -g, 6*x - z*x = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*-1147\nAnswer: -75702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001298758 to five dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*k**3*l - 46*k**3 + 2*k**2*l + 65851*k*l - k + 330508 wrt l.\nAnswer: -90*k**3 + 2*k**2 + 65851*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 48*q**2 + 225*q - 79. What is g(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + 7.74. Let x = -4 + 7. Let g = -398 - -397.9. Which is the closest to g? (a) -3\/5 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*h - 996, -5*h + 3*l + 1012 = -0*l. Let r = h + -119. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 789585*k + 41044900.\nAnswer: 5*(k + 52)*(k + 157865)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1322400000 to the nearest 1000000.\nAnswer: 1322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36167, -36269, -36321, -36299, -36179?\n\"Answer: 4*s**3 + s**2 - 133*s - 36039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*j + 52, 2*x + 2*x + j = 37. Let y = 4 - 10. Let u be -7 + 5 + (-2 - y). Solve -3*w + x = 5*k + u*w, 4*k + 3*w - 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -1 + c**2 - 4*c**2 + 2*c**2. Let j(s) = -2*s + 5*s + 2*s - 6*s. Give j(f(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 8*w**2 + 22*w + 42. Let n be t(10). Let q = n - 332. What is the highest common divisor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 70240510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -402*v + 402*v + 2 + 20*v**2 to w + i*v**2 + b*v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -866\/37 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 1006*y - 253009.\nAnswer: -(y + 503)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2389*r + 2386*r - w, -3*r = -5*w + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22221211 + 2333003?\nAnswer: -13222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.973 and 898.\nAnswer: -3567.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q - 3. Let l be d(-5). Let r(h) be the first derivative of -54*h**2 - 57*h**l + 7 + 105*h**2 - h**3 - 12*h - 2. Find v such that r(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9 + 10 = 0. Is 2 + 331 - (u + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0b3 - -1703?\nAnswer: 107b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = -2*h - h, 5*a + 7 = h. Suppose q = -h, 5*q - 55 = -2*f - 21. Solve 2*m = 3*w - 0*m - 14, 0 = -5*w + 3*m + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3 - 5 - 1 + 15*g - 3*g**2 as k + l*g**2 + n*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 - (0 + (-20)\/4). Which is the third smallest value? (a) 3 (b) z (c) -2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*i**2 - 116 + 572*i**2 - 1734*i**2 + 580*i**2.\nAnswer: -3*i**2 - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q. Let g(z) be the first derivative of -48 + 7\/3*z**3 + 0*z**2 + 0*z. Determine g(i(o)).\nAnswer: 1792*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = -u + 7, -4*u + 6*h = 58. Is 5\/1162 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let x(h) = 8 - 8 + 20*h**2 + 0. Give f(x(v)).\nAnswer: -800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 17*r**3 + 5*r**2 - 49. Let g(n) = 25*n**3 + 8*n**2 - 74. Let x(j) = -5*g(j) + 8*u(j). Differentiate x(i) with respect to i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i - 1. Let p(r) = -49*r**3 + 2*r**2 + 5*r - 6. Determine p(l) - 5*u(l).\nAnswer: -44*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 62*i - 3*i**2 - 41*i**2 + 65*i - 2*i.\nAnswer: -40*i**2 + 125*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -132\/86417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 47*x**2 + 3*x - 1. Let q(b) = -4*b**2 - b + 2. Give -a(n) - q(n).\nAnswer: -2*n**3 - 43*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*1\/6*8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 1427*s - 1428*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose l + 1 + 0 = -4*y, -4*l + y + 30 = q. Let m(o) = o**2 - 6*o - 5. Let i be m(l). Solve i*w = -w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/10 - (-2)\/5. Let x = 23337 - 23337.08. What is the second biggest value in 4, 3, g, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + 4*n**3 - 2*n**3 + (2*n - n - 2*n)*(-n**2 - n**2 + 3*n**2) + 0*n + 0*n - 2*n**3 + 3*n**3 + 2*n**3 - 3*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*j**2*r + 126*j**2 + j*r**3 - 2889*r**3 with respect to j.\nAnswer: -22*j*r + 252*j + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 35280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 18*j + 122. Determine z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + j - 7, -444632*i - 4*j = -444627*i + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2725465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:39 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + 2*y**4 - 3*y**3 + (2 + 4 - 5)*(4*y - y - y)*(2*y**3 - 3*y**3 + 2*y**3).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69803785 minus -0.1?\nAnswer: 69803785.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 134 + -3 + (1 - 5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 91008 divided by 6\nAnswer: 15168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/f)**(-4)*f*f*(f**(-12)*f)\/f*f**(2\/9) assuming f is positive.\nAnswer: f**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1478816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**4 - 3*g**4 + 2*g - 4*g)*(60 - 13 - 17).\nAnswer: 210*g**4 - 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 114405 + 21464. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j + 2, -m = -3*j - 3. Let f = 8 + -10. Let g be (5\/f)\/((-4)\/(-8)). Sort g, 0.5, m in descending order.\nAnswer: 0.5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 75*z**2 - z. Determine j(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2269960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kedb when four letters picked without replacement from tekbzbtde.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/6)\/(150\/225). Solve 17*b - r = 21*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(22\/9)))*c*c)\/c**8 assuming c is positive.\nAnswer: c**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25 * 8023\nAnswer: 200575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 185, 240, 349, 530, 801, 1180, 1685?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358110629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 285830 and -3.\nAnswer: -857490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 27)*(1 - 1 - 42*z + 45*z) + 5 - 16 + 2*z + 33.\nAnswer: 71*z + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 49\nAnswer: 37\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 913 - 603. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 9*o - 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6049996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1308764138 and -3.\nAnswer: -1308764141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + d - 12, d + 20 = x + 5*d. Let q be 3 - (x + -1) - -26. Find the second derivative of 20*k + 14*k - q*k**4 - 65*k wrt k.\nAnswer: -312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 4*g. Let o(b) = 8*b. Determine p(o(k)).\nAnswer: 320*k**2 + 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4\/5, 17\/9, 3\/8?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1504*n - 56830 = -14718 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 - (-776)\/88. Let g(q) = -2*q - 1. Let b(a) = 8*a + 3. What is s*g(o) + 2*b(o)?\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 13*h**2)*(-h - 2 - 3 - 8)*(2 - 1 - 2) in the form y*h + u + t*h**2 + q*h**3 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 13 + 28 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203262 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12102 less than -12008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 181, 274, 367, 460?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 663\/7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3863.20848 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21104 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 29 + 37. Let g = v + 24. Suppose c + 2*c = 9, -d + 20 = g*c. What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b, 2*b = -0*n + n - 1. Let u(q) = 17*q + 7. Does 31 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293379529 to the nearest integer?\nAnswer: 17128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = y. Suppose -2*x + y = x. Calculate the smallest common multiple of 20 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) -70 (b) -2\/9 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 4*y + 92. Let i be z(0). Let k = i + -41. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 169510.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003305190116 rounded to five decimal places?\nAnswer: 0.00331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11358, 22885, 34412?\n\"Answer: 11527*c - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-44)\/12 - 1. What is the nearest to -1\/3 in 0, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1031*j + 9284. Give l(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/8 + q**5\/60 - q**4\/12 + q**3\/6 + q**2. Let i(a) = a**2 - 6*a + 6. Let y be i(5). Is c(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5041873*u**3 + 72563674?\nAnswer: -15125619*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 162, 354, 622, 966, 1386?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggglgugllguubull. What is prob of sequence lblg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*i - 27*i + 10*i + 632636 = 0. Calculate the smallest common multiple of 6 and i.\nAnswer: 17412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-265)\/10)\/(2\/8). Let i = g + 192. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.947 rounded to one dp?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x + 3. Let y(t) = -2*t**2 + 8*t - 7. Let o be y(6). Let d be o\/6 - 6\/(-36). Determine g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 - 17*d + 61. Let z be f(-8). Let n(c) = 35*c**3 + 2*c**2 - 1. Let k be n(1). Suppose -z*p - k = -51. Solve -p*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/80)\/((-108)\/(-144)) + (-172)\/(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6303 + 50491\/8. Find the common denominator of 67\/15144 and p.\nAnswer: 15144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 + 180. Let t be 2 - 3*(0 + -1). Let j be h\/(-9) - t\/(-3). Which is the nearest to j? (a) 2\/3 (b) -1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + w**4 + w**4 + (5*w - 5*w - w**3)*(-2*w + 4*w - 4*w) + (17*w**2 + 14*w**2 - 22*w**2)*(8*w**2 - 16*w**2 + 0*w**2)*(-6 + 4 + 0).\nAnswer: 148*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:51 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 172?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2990361 is divided by 377.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33579 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 823811*d - 3295247. Determine w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j + 2*j. Let u(f) = 0*f - j - 2 - 4*f + 3. Give u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/14)\/((-1)\/(-2)). Let s = -174 + 176. Sort s, 5, r in ascending order.\nAnswer: r, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88396235839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 812009417 to the power of 1\/3, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i + 90 = -34*i. Find the common denominator of (-108)\/i*(-30)\/16 and 71\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -48)*(28\/(-12)*1 - 12\/9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o*s**2 + 395*o*s - o + 4*s**2 + 2722*s + 4 wrt o.\nAnswer: -s**2 + 395*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 23*n + 2. Calculate the remainder when -8 - ((-604)\/(-12))\/(31\/(-93)) is divided by h(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:42 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1253425125 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 11*g - 4. Let h be c(-11). Let i = h - 0. Is (i\/6)\/((-4)\/678) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/624 and -145\/6?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (((sqrt(132)*1 + sqrt(132))*-6)\/(sqrt(36)\/sqrt(108) - sqrt(12)))**2.\nAnswer: 57274\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 5*d + 8. Let u be z(6). Let a be u + 0\/((-20)\/5). Calculate the highest common factor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -28.6 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150.184 + 0.684. Let t = 149 + m. Let k = -0.43 - -3.43. Which is the third smallest value? (a) 2 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507472819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4141306 to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 32*l + 158. Determine d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxq when four letters picked without replacement from {q: 2, x: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 498357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 1.5. Let b = -1599.9 + 1600. What is the fourth smallest value in -0.2, b, f, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24619291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194 + 1968 = 113*y - 1675 - 12450 for y.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*z, 2*o - 6*o + 2*z = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfjsomr. Give prob of picking 1 j and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41000 - 4420442?\nAnswer: -4324442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1.4. What is the third smallest value in 0, z, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 36 = -11*v + 6*v, 4*v - 18 = -2*h. Solve 3*u = 2*g + h, -5*g = -0*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 + 8*z - 2. Suppose -8*i - 6 + 54 = 0. Let o(t) = -13*t**2 + 9*t - 3. Let g(m) = i*f(m) - 5*o(m). Calculate g(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - -18. Suppose 2*t - k = -2*n, -3*n + 5*t + 11 = -24. What is the remainder when 38 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2340\/(-294) + (3 - (-2 - 2)) + 1.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -4*g. Suppose -15 - 15 = -g*j. What is the lowest common multiple of 1 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 5*j - 8, -6 = -3*j + 3*s. Let a = j - 4. Suppose -g = -2*b + 4*b - 18, 0 = a*g + b - 45. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100110011111001 (base 2) in base 9?\nAnswer: 248740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k + 8. Let i(s) = -17*s - 17. Let j(m) = -51*m - 51. Let r(d) = -17*i(d) + 6*j(d). Let v = 3 + 3. Calculate v*r(u) + 13*l(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 108. Suppose 0 = 2*i + 12 + 46. Let u = i - -46. Calculate the greatest common divisor of u and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 46. Suppose t - 29 = 2*r - 0*t, 0 = -r + 5*t - 19. Let b be (-80)\/r + g\/(-56). Calculate the greatest common divisor of b and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*i - 69 = 0, 393 = 5*a + 4*i - i. Do a and 83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8*f = -24. Solve -2*p + u = f*u - 6, -4*p - 18 = -5*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 19*t**7\/70 - 25*t**3\/6 - 47*t**2. What is the first derivative of g(x) wrt x?\nAnswer: 228*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 12*t - 100. What is the remainder when 72 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:26 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13001 (base 8) in base 14?\nAnswer: -20a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685.9698 years to centuries.\nAnswer: 6.859698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48457.04 centuries in millennia?\nAnswer: 4845.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -556 in 4, 9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901520 is divided by 225372?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*f = 8. Suppose 5*w = 15, 5*s + f*w + 7 = -11. Let j(g) = -7*g - 7. Let x(q) = -20*q - 20. Calculate s*x(d) + 17*j(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169.21 + 170. Let g = 15.159 + 2.831. Let s = g - o. Round s to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1245 + 1317. Solve -4*i - 20*i = d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -61. Suppose 2*d - 1 = 5. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 94584*p - 472828. What is r(5)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.3. Let x = -14.79 - -14.89. Put o, -2, x in ascending order.\nAnswer: -2, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 140725 + 51013 = 4*n, 5*f = 2*n - 95881. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*f*p**3*r + 17*f*p**3 + 3*f*p**2 + f*p*r - 93*p**3*r + 24303*p**2*r + 5*p**2 + 2 wrt p.\nAnswer: 204*f*r + 102*f - 558*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40248 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmddddmdmddmd. Give prob of sequence mmdd.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 106 = 26. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus 415008?\nAnswer: 415007.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 9:31 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15146?\nAnswer: 2, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2561 - 2561 - 11*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1899062 years to centuries.\nAnswer: 0.001899062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*k - 5*y, -4*k + 60 + 3 = 5*y. Suppose -65 = -2*m + 71. What is the remainder when m is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.84 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -2 - (-999 - -1020).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Suppose -q - 109 = -104, -q = -4*n + 5. Let x(b) be the second derivative of 12*b + n*b**2 - 11\/12*b**4 + 0*b**3 + 0. Calculate x(y(d)).\nAnswer: -11*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/k**(1\/2)))*k*((k\/(k**(6\/5)\/k)*k)\/k*k*k)\/k assuming k is positive.\nAnswer: k**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*b + 107*b + 36*b**4)*(0*b - 3*b + 4*b) + (1 - 5 - 1)*(-3 + b + 3)*(-b**4 - 2*b**4 + 4*b**4).\nAnswer: 31*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**3 - 93*i**2 + 15*i - 7. What is the thousands digit of w(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 65 - 2*a - 8*a + 18*a - 38 in the form i + k*a and give i.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Suppose 4*g - g - 132 = r. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 8 - (-69 - (39 + -95))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 15*n**2 + 16*n - 12. Let x = 24 - 40. Let t be v(x). What is the units digit of (20\/t + 2)*45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.488277 microseconds to hours.\nAnswer: 0.0000000201356325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 8*k - 150. Let n be a(0). Is 13 a factor of (-20)\/n - (1 - 5486\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z + 57*z - 37*z. Let b be (-2)\/(-6) + (-8)\/(-3). Let h(s) = -4 + 4 - b*s. Calculate h(f(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose 0*h - c*h = -28. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2394\/(-152))\/((-171)\/76).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 636 + -640. Put -3, -3\/50, r, 0.11 in increasing order.\nAnswer: r, -3, -3\/50, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:02 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59431155467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/19 (c) -2\/745 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (32 - (130 + -63))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)*c\/(c*c**15))\/(c**2*c\/(c**(2\/49)*c)) assuming c is positive.\nAnswer: c**(-15691\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -9, -3, -83\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnkffktffeeanfn. What is prob of sequence eta?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -4612 in decreasing order.\nAnswer: 9, 3, -4612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68785255843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 8186 - q**2 - 8180 + 4*q to t*q + g + a*q**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55285986?\nAnswer: 2, 3, 7, 101, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 13 - 53 = 0. Let w = i - -9. Solve -w*l + 12 = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 - 17.23. Let p(h) = 2*h**2 + 73. Let k be p(0). Let f = k - 69. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110636*i**3 + 56482*i**3 + 54103*i**3.\nAnswer: -51*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**0\/o))\/o**(2\/3))\/(o**(-6)*o**(-13)))**(4\/13))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46797, 93542, 140223, 186810, 233273, 279582?\nAnswer: 325707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2950, -3035, -3162, -3331?\n\"Answer: -21*h**2 - 22*h - 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 151, 625, 1423, 2551, 4015, 5821?\n\"Answer: c**3 + 156*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*t**3 - 121*i**2*t**2 + 2*i**2 + 3*i*t**3 - 18*i*t - 1 wrt t.\nAnswer: -6*i**2*t - 242*i**2 + 18*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.008 + 21.008. Let y = 23 - d. Let w = -0.29 - -4.29. Sort -0.3, y, w in descending order.\nAnswer: w, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -16) + 11 - (-7 + 6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(((-23288)\/(-410))\/142).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17838753797.00000166 + 17838753982. Let w = 185 - s. What is w rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*i + 7463*i - 4110*i.\nAnswer: 3776*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-41 + (-70239)\/(-1716))\/(-4 - 55\/(-40))\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/14)\/(((-220)\/(-77))\/(-10))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + sqrt(833) + sqrt(17))**2 + (sqrt(68) - (sqrt(68)*-3 + sqrt(68))**2)) - ((sqrt(459)*-3)\/(sqrt(9)\/sqrt(3)*3))**2.\nAnswer: -2676 - 246*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751611.7 decades to millennia.\nAnswer: 7516.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 3*y**2 - 2*y + 8. Let h = 32 + -36. Let t be i(h). Solve t*d - 5*d = 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 less than or equal to 87263\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*i + 124 = 0, 27*x - 1063 = 24*x + 2*i - 1027 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*k + k - 3, -5*f = -20. Suppose -6*j + 2 = -4. Sort k, j, -4 in increasing order.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473176 divided by -12452.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 19296.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 3*w**4 + 100 + 1\/2*w**2 + 38\/3*w**3 + 0*w - w**6 + 0*w**5. Find the third derivative of a(n) wrt n.\nAnswer: -360*n**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618 = -7*j - 660 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/29*-13*(-4)\/52?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**4\/4 + 1221*v**3\/4 + 417*v**2\/4 - 1221*v\/4 - 102 = 0 for v.\nAnswer: -1, -1\/3, 1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:40 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-5*o + o**2 + 5*o)*((-2*o + o + 2*o)*(-2 + 0 + 0) + 0*o + o + 0*o + 421 - 421 + 31*o)*(6*o - o - 3*o).\nAnswer: 120*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -18, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/20, 429, -8\/17?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/12 (b) -0.86 (c) -2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*48\/(-36) + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161648446 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b - 1. Let j be o(0). Let y be 1*(1 + -2) - j. Suppose -93 = -3*n + 3*f - y*f, 2*n - 66 = 4*f. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147\/25 + -1983\/350. Let v be (2\/(-18))\/((-2)\/4). Sort -2\/5, g, v in decreasing order.\nAnswer: v, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k + 9*k = 124 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - w - 12 = 0, 2*q - 7 = w - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 + 26485*d**2 - 79490*d + 53000 = 0.\nAnswer: -5300, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -2. Suppose 3*a - 46 = 4*d, -6*a + 4*d = -5*a - 26. Suppose a*r = 13*r - o. Calculate the remainder when 12 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/5*(-2)\/68. Let h = 71\/102 - k. Which is greater: 0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6829, -13667, -20499, -27325, -34145?\n\"Answer: 3*w**2 - 6847*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7280397*d**2 - 2153249*d + 1 wrt d.\nAnswer: -14560794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, -16, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*x. Differentiate -x*q**2 + 2*q**4 + 2*q**2 + q**4 + 1 wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**4 - 2*k**2 - 13*k**4 - 6*k**2 + 0*k**2 wrt k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/13 - (-6 + (-14 - -28))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/35)\/(4\/(-63))*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than -58.619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387868167 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70854, 141733, 212614, 283497, 354382, 425269?\nAnswer: 496158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1802*l - 4. Let d(b) = -b - 1. Let a(h) = -6*d(h) + y(h). Let f be a(2). Does 11 divide 4\/5 + f\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10110, -20218, -30326, -40434, -50542, -60650?\nAnswer: -70758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -14a95a4a?\nAnswer: -14a95a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002555536603 to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1150, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 540*w**3 - 1182*w wrt w.\nAnswer: 3240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 - 14 = -13*l. Suppose -5*n + 4*n = -l. Solve n = -4*t - t - 5*u, 4*t - 4*u = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*u - 0*v - 1, 3*u - 2*v - 4 = 0. Put 2, 5, u, 4 in descending order.\nAnswer: 5, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 14. Let h be u(7). Is 2*(h + 1905\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*o**2 + 1)*((2 + 2 - 3)*(4 - 4 + 1) - 4 - 4 - 5).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/20*(-380)\/(-6). Let g = -9 - i. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297607978*t**3 + 143*t - 707861.\nAnswer: -1785647868*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5259, -5070, -4881, -4692, -4503?\n\"Answer: 189*u - 5448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -69523, 4\/7, -23.\nAnswer: -69523, -23, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3472)\/(-8) - (-2)\/(3\/3). Let d(n) = u - 436 - n. Let b(s) be the first derivative of s**2\/2 - 1. Determine b(d(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*l - 3930, k - 4*l + 73 = 882. List the prime factors of k.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:22 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*m**2 + 27*l**3*m + 6*l**3 - 5*l*m**2 + 5*l*m - 25*m**2 wrt m?\nAnswer: -4*l**3 - 10*l - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 29*c - 10 + 2. What is the biggest value in 0.5, c, -0.0159?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + -1.97. Sort 7\/3, 3, d, 4.\nAnswer: d, 7\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 1. Let k(s) = -12*s**3 + 2*s**2 + 8. Give -k(x) + 10*w(x).\nAnswer: 2*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 2}. Give prob of picking 1 j and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(1700)*-2*6 + 3)*-4.\nAnswer: -480*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - a - 1. Let o be t(-1). Let f be 7 - o*(-3)\/2. What is the nearest to -1 in 0.3, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2768.\nAnswer: -1\/692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 9*i + 8. Let l = -13 - -18. Let z be q(l). Let d be z\/(-2 + -1) - 1. Calculate the greatest common factor of d and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/656 and 29\/4.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + m**3 + 4*m**3 + 2*m + m**3 to the form z*m + i*m**3 + j + s*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**3 + 24794*f**2 + 32200 wrt f?\nAnswer: 15*f**2 + 49588*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0307 in 5, -8, 199\/3, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48692 divided by 6956?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 660, 2, -2, -0.1, -4\/1313?\nAnswer: -4\/1313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036799 to the power of 1\/2, to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 453 + 231 - 363 - 321.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1.521\nAnswer: 0.4563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-9))\/(-5)*-9. Suppose -4 = v*a - a. Let k = a + 30. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*q - 4*q - 4 + 32*q + 4.\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:31 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140*m + 7371 = 1167*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 5*d - 33, -4*z + 2*z + 23 = 3*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 16 - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 0.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -68*p + 3. Let n(b) = -4*b + 1. Let s(w) = -f(w) + 4*n(w). Determine s(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.79 + 12.71. What is x 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 value of 6 - (-1 + 10) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4987 - 15?\nAnswer: -49a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.6 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/(3\/(45\/(-10)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1446 + -1436. What is the fifth biggest value in -0.1, -13, l, -5, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 283, 287, 323, 415, 587, 863, 1267?\n\"Answer: 4*k**3 - 8*k**2 + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 - -246. What is the greatest common divisor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3707\/99 - 11 - (-14 + 1040\/72).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -3*d**2 + 2*d**2 - 1 + 3 + 5. Let v(h) = h + 1. Calculate -m(z) - 3*v(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 16 + 1 = 4*n, 0 = 5*n - 25. Suppose 2*j - v*j + 33 = 0. Suppose 3*o + 3*d = 957, 3*o = 4*d + 1018 - j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-18 - -20 - 2\/(-1)). Which is the closest to t? (a) -3 (b) 7 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/11 and 77\/3324850.\nAnswer: 36573350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12075?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 67*f - 22. Determine n(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7\/(42\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, -5, -23.\nAnswer: -23, -16, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298952395.\nAnswer: 5, 7, 17, 502441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 23081, -4 in decreasing order.\nAnswer: 23081, 69, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = -69. Calculate the remainder when u is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000150883 rounded to 6 decimal places?\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (37 - 25 - 35)*(-1 + 2 + 3))*(g + g - 6*g).\nAnswer: 372*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407033904?\nAnswer: 2, 19, 4628401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 26. Suppose 5*n + s = 26. Let k(a) = 6*a**2 + n*a + 2*a - 5*a. Let y(c) = c. What is k(y(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 642294, -3, -2.\nAnswer: -3, -2, 25, 642294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.437 + -0.195. Let d = -40.658 - i. Let u = -41 - d. Which is the third smallest value? (a) u (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33299057, 33299062, 33299069, 33299078, 33299089, 33299102, 33299117?\n\"Answer: x**2 + 2*x + 33299054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58885962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 683852471 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -183150?\nAnswer: 183147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + n = 3*n + 56, 3*v + 3*n + 56 = 5*n for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 590.1225 years?\nAnswer: 7081.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:16 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 - s. Let v = 2 - 1. Let h(z) = 2 + z - 1 - 1 - v. Let a be h(2). Calculate q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.712 and -305930.\nAnswer: -305939.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6690 * -0.5\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(20) + sqrt(5))*6 + sqrt(5) + 5)**2.\nAnswer: 152*sqrt(5) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/20*5 - -80 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 3. Let f = -10 + 16. Suppose -2 - f = h. Let s be v(h). Solve 3*m + s = -a, -a - 8 - 8 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365918 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: What is 3330845 (base 12) in base 6?\nAnswer: 545205325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-102)\/969 + 5262\/1254 - (-2)\/(-22). Suppose -4*d + 43 = 3. Suppose 4*h - 5*y = d, 2*y = -4*h + 6*y + 8. Solve -m*g + 9*g = h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 4*p**2 + 6*p - 7. Let h be r(2). Suppose -h*q = -2*q - 22. Solve 0 = -q*m - 0 + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*h, -v = 4*h - 1 + 7. Let q(w) = 5 - w**3 + 7*w**2 - 6*w**2 + 6*w**v. Let x be q(7). Solve -3*g + 4 = -x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 3.5. Let f be (1\/1 - 1) + 6\/(-27). Which is the closest to n? (a) 5 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 339 = -3*c, 5*c = -4*d - 184 - 417. Let o = c + 825\/7. Let 0 + 4\/7*t + 4\/7*t**3 + o*t**4 - 2*t**2 = 0. What is t?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x**2 + 0*x**2 - 2*x**2 as z*x**2 + a*x + i and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906184904 - 906184904 - 48*a**2.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -69*k**3 - k. Let p = -17 - -24. Suppose 4*t - 24 = p*y - 3*y, 0 = y + 4*t - 19. Let u be a(y). What is the highest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 264 - 181. Suppose n*u - 630 = 69*u. Calculate the remainder when 177 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 39.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38059555.0505+-0.41\nAnswer: 38059554.6405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 414*q**2 + 511*q**2 - 166*q**2 + (4*q - 2*q - 3*q)*(-22*q - 10*q - 26*q - 4*q).\nAnswer: 821*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 11. Suppose u - 2*i = -u + 36, 3*i = -u + t. Suppose 3*q - j = 343, 3*q + j = 5*q - 227. What is the remainder when q is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841326533 to the power of 1\/2, to the nearest integer?\nAnswer: 53304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.28? (a) 4\/7 (b) 22 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let c = 150.6 - 150.63. What is the biggest value in c, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 26283210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 6) in base 15?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 (base 6) in base 14?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 23. Let i = m + -3. Suppose 0 = -3*n - 5*t + i, -3*n + 5*t = 2*t + 12. Solve 0 = -n*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, k: 7, z: 4}. What is prob of sequence wzww?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-240)\/(-27) + -9 - (-268940)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 2*f**2 - 4*f**2)*(-102 + 60 + 63*f + 41) in the form i*f**3 + c*f + o*f**2 + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4525*j**2*p - 3*j*p - 1945*j wrt j?\nAnswer: 9050*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*p - 0*p - 5*j, -5*p + j + 29 = 0. Let r be 1*((-10)\/(-2))\/p. Suppose 49 - 13 = 4*b. Calculate the greatest common factor of b and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4*q = -6*q. Suppose q = -n + 4*n - 2535. Does 12 divide (7\/((-70)\/(-4)))\/1*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4 - 8165*j**3 + 3312875*j**2 + 16736265*j + 13415220 = 0.\nAnswer: -4, -1, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 312 (b) 2\/5 (c) 8 (d) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 3 + 2\/(-1). Let u = i - -4. Suppose 4*c - o - 12 + u = 0, 3*o + 13 = 2*c. Solve 3*r + c*y - 3*y - 2 = 0, -3 = -4*r + y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 910136114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 7) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -456 + 458. Let i(q) be the second derivative of -3\/2*q**v + 1\/5*q**6 + 0*q**5 + 0*q**4 - 5*q + 0 + 0*q**3. Differentiate i(o) with respect to o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 3. Let m = -7 - -1. Let z be q(m). Let c = z - 10. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 11645?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120404.\nAnswer: 2, 31, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-8) + 7 + 1. Factor t**3 + 20*t**2 - m*t**3 - 5*t + 5*t**2 - 10.\nAnswer: -5*(t - 2)*(t - 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*x**5 + 5363592*k*x**4 + k*x + 7*k - 410*x - 73 wrt x?\nAnswer: -40*k*x**3 + 64363104*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11687185160 rounded to the nearest one million?\nAnswer: -11687000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4708.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.2, 1556, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29400*w = -29391*w - 261 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * 3.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, 1\/3, 36, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 5, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10656, 21333, 32024, 42729, 53448, 64181?\nAnswer: 74928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*v + 160039 = 5*s + 160022, 0 = -4*s + 5*v + 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {c: 3, u: 5, o: 1, i: 1, n: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045287 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236776, -236758, -236740, -236722, -236704?\nAnswer: -236686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-72)*((-2134)\/(-209) + -10). Which is smaller: t or 24.9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573397 (base 10) to base 14\nAnswer: -10cd6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czcsaio. What is prob of sequence oz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*w**4 - w**4 + 13*w**4 + (-4 + 4 + 2*w**2)*(-w**2 - 4*w**2 + 4*w**2).\nAnswer: -66*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -100, -224, -364, -526, -716, -940?\n\"Answer: -o**3 - 2*o**2 - 111*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 0.26129079.\nAnswer: 16.26129079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 5, -3\/2, -11\/6, -1.7, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(475) + sqrt(19))*1)**2 + (sqrt(2299)*-2 - sqrt(2299)).\nAnswer: -33*sqrt(19) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 + 21*c + 24. Let a be y(6). Solve 0 = 4*j + 3*i - 6, -3*i + a = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2698 by -1.\nAnswer: 2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 680418 (c) 2\/693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*b - 612*b - 1213*b + 73*b)*(3*b**3 + 3*b**3 - 4*b**3).\nAnswer: -3464*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**3 + 13718*u**2 + 352*u + 25 wrt u.\nAnswer: 24*u + 27436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 4029, -4, -2, 1 in increasing order.\nAnswer: -4, -3, -2, 1, 8, 4029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -32, 0, -187453, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(143) + sqrt(143)*-4) + sqrt(143) + -2*sqrt(143)*-5)\/((sqrt(264)\/sqrt(8))\/sqrt(3) + sqrt(11) - sqrt(11) - -5*sqrt(891)))**2.\nAnswer: 1300\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13709*0.2631\nAnswer: 3606.8379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:36 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-2*m + 0 + 0) - m + 2*m - 3*m - 2*m + 5*m - 2*m + 0 + 2*m + 0 - 3*m + 2*m + 0*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:54 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 + 4.95. Let a = -2.02 + 0.02. Let o = a + u. Round o to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 + 12*h**2 - 8*h**2)*((0 - 2*h + 0)*(0 - 4 + 6) + 6 - 6 - 6*h) as f*h**2 + r*h + v + n*h**3 and give n.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (19 - 7 - -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12411, -11284, -10143, -8982, -7795, -6576?\nAnswer: -5319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/3 + 2 + -1. Let k = q - 18. Suppose k = -0*b + b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 - -1)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 d, and 1 j when four letters picked without replacement from {k: 2, d: 7, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12 - (-12 + (14 - (-9 - -10))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-6)\/4)*-14. What is the units digit of 54\/1 - (-21)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 10 - 1 + 1 - 6. Let j = 5 + -9. Let h be u(j). Solve 2*t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g + 17. Let q be u(-1). What is the common denominator of (1 - 39\/132)*(1 + q) and -43\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(931) + sqrt(931)*-1))**2 - (sqrt(931) + (sqrt(931) + -1*sqrt(931)*-6)**2).\nAnswer: -45619 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 15. Let w(r) = -8. Let k(u) = -3*i(u) + 5*w(u). Let d be k(-5). Is d at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (847\/(-22))\/(1\/(-14)). Let f = n - 500. What is the lowest common multiple of 27 and f?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:17 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 + -0.35. Round q to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1db - 62184?\nAnswer: -61fa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184099 and 2773?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 24126*a. Let u(c) = -9*c**2. Give h(u(g)).\nAnswer: -217134*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.7 in 3.6, 2\/15, -7, -1, -4\/7, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/3 + -3)*1. Let l = w + 16. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 0 (b) 0.21 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -2*v - 5*m + 161, 2*m + 1375 = 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16618 = 1019*v + 2255 - 26241 + 2901 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.366?\nAnswer: -0.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-98))\/(16\/(-14)). Let n = k + 1\/8. Which is the closest to 1? (a) 3 (b) -2 (c) -0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62838084 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s - 21. Let q(m) = -16*m - 44. What is 3*q(c) - 7*t(c)?\nAnswer: 8*c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 311?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147836472 and 55438677.\nAnswer: 443509416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (9 - (-8)\/(-2)). Let s be (-2)\/4 + (-129)\/30. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 0. Suppose -3*n + 10 = -k. Suppose 4*u - 5*u = 0, 4*u = -t + n. Calculate the greatest common factor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -20*j + 7*j. Let f be (-4)\/10 + 81\/15. Suppose -3*p + 13 = -v + 29, 2*v - j = -f*p. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 62*p**5 + 74*p**5 - 2*p**2 + (5*p**3 - p**4 - 5*p**3)*(-1 + 2*p + 1) + 4*p**5 + 2*p**5 - p**5.\nAnswer: 15*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 2*g = 69 - 98 + 64, -l + 2*g + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*v**3 - 206*v**3 - 204*v**3 - 203*v**3 + 817*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914978 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15311162*q**4 + 39670767 wrt q.\nAnswer: 61244648*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -126847\/2 and -63425 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1114\/16819 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j - 2\/9*j**4 + 274\/3*j**2 - 268\/9*j**3 + 0.\nAnswer: -2*j**2*(j - 3)*(j + 137)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -48. Let d be ((-185)\/v + -3)*4. Solve 1\/3*b**2 + 0 + d*b = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -978 - -1955\/2. Put 5, 2\/19, 1\/4, k in increasing order.\nAnswer: k, 2\/19, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/14, 3, -0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524225248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Let h = u - 1. Let v(d) = d**2 - 7*d + 4. Let q be v(7). Is h < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45635*d*k + 6*d + 260 wrt k.\nAnswer: -45635*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -9*q - 40. Suppose q*t - 38*t = 56. Suppose 2*x + t = 9*x. Solve -x = 3*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*r - 70 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 + (62 + -71 - 55)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*y)*(5*y**4 - 2*y**4 - 2*y**4)*(-6 + 7 + 7).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76657861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -103?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 142\/14 + -5 - 5\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/15 - -167\/15. Let i = 641\/30 - 46\/5. Find the common denominator of v and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 71*v**3 + 12*v**2 - 2*v - 70. Let i(c) = 212*c**3 + 33*c**2 - 6*c - 208. Calculate 4*i(m) - 11*k(m).\nAnswer: 67*m**3 - 2*m - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681.3612mm to micrometers.\nAnswer: 681361.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqooqqqo. What is prob of picking 2 o and 2 q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 35 - 35 + k - 2*k. Let o(b) be the second derivative of b**4\/4 + 2*b + 74. What is o(x(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -121 (c) 2\/11 (d) -1 (e) -15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*s + 4*s**4 + 442*s - 2192 + 560*s**3 + 457*s - 1358*s + 1644*s**2 = 0. Calculate s.\nAnswer: -137, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -83 - (2 + -6 + 20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20470?\nAnswer: 2, 5, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7500220 divided by -910\nAnswer: 8242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, 21.79 in decreasing order.\nAnswer: 21.79, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353005, 352987, 352969, 352951, 352933, 352915?\nAnswer: 352897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220109.\nAnswer: 53, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 = -3, -2*p + 3*f - 22 = 0. Let y be ((-3)\/(-27))\/1 + 104\/36. Put -1, p, y in decreasing order.\nAnswer: y, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46949022563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s**4 + 3 + 0)*(0 - 3 - 2).\nAnswer: -10*s**4 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3))**(14\/3))**44 assuming v is positive.\nAnswer: v**(-1232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(448)*-4 + sqrt(448) + -4*sqrt(448)*-2)**2 + -3 + -4 + 1.\nAnswer: -16134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 c when three letters picked without replacement from cxcucxujuxc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000097608 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 0.43383596?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1456 + 0.1456. Which is the second smallest value? (a) v (b) -20 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4642 divided by 4642?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 8*h + 1146 = 76*m - 14*m - 356*m, h = -2*m - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 4395. Suppose 0 = -m + 4*m - z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.87 - -0.13. Let z = 4 - n. Let l = 45.7 + -46. Which is the second smallest value? (a) z (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = -26*i + 14. Let b(h) = -h**3 + 7*h**2 + 2*h - 10. Calculate b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 0.1. Which is the nearest to -2\/5? (a) p (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.83*101077\nAnswer: 3520511.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 2)*(v**4 - v**4 - 2*v**4) + 2*v**4 - v**4 - 3*v**4)*(3 - 1 + 1)*(3*v - 7*v + 0*v).\nAnswer: -48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from iitiuutaxuaiiiutttau.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*k - 2*o - 4, 5*o = -k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/125, -2\/23, 2\/5, -4, -25, -2 in increasing order.\nAnswer: -25, -4, -2, -2\/23, 2\/125, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 8*b + 2*b)*(2*b - b + b)*(-77 - 21 - 31).\nAnswer: 1290*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*k - 1350, k + 893 = 2*q - 4*k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.104 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -103552111 (base 6) to base 7\nAnswer: -21566353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -551*u + 493. Let y(k) = -29*k + 26. Calculate -3*m(c) + 58*y(c).\nAnswer: -29*c + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7332 + 7336. Solve 28*a = -v*a - 64 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 24*y**3 - 10 - 16*y**3 + 44*y**3 + 1.\nAnswer: 4*y**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 31 = -2*o. Solve -j + 2 = -z + 4, 5*j + o = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - (13 - 3)) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/r**16*r*(r*r**(-2\/59))\/r assuming r is positive.\nAnswer: r**(-710\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*w - 324 - 44 = 238 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 574 and 41.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-20) - (-12)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189228 + -189199. Suppose 3*s - 2 - 1 = 0. Suppose -30 = -v - 3*q, -v = -2*q - 11 + s. Calculate the remainder when z is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2011 - -2014. Solve -8*c + 7 = -10*c + b*a, 4 = 4*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -304*h + 305*h. Sort -2, h, -4, 7 in descending order.\nAnswer: 7, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3310)\/(-175) + -19 + 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20240 or 20245?\nAnswer: 20240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - t = 17, -34 = -4*t - 38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:28 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) 0 (b) 2 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*y + 5*y - 1, 0 = -4*p + 5*y - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 4*d**2 + 4*d + 16. Let n be k(-4). Let j be (-4 - -3)*3 - -3. Solve -2*p = -j*p - 5*x, -3*x = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 1 = -n - 3*h, -2*n = -h + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 9:48 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13190*j**3 + 13190*j**3 - 114*j**4)*(4 + j - 8 - 7).\nAnswer: -114*j**5 + 1254*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - -46) + (-5 - (-6 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -573, 23, 7 in ascending order.\nAnswer: -573, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/6, 3\/2, -16, 1099, 349 in increasing order.\nAnswer: -16, -1\/6, 0.2, 3\/2, 349, 1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*x - 7*x + 26, -64 = l - 3*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -4 - -3 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -352351*c**2 + 3386840.\nAnswer: -704702*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25\/134, -4, 0.4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 3:47 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 24*k**2 + 63*k + 1. Let g be h(-3). Let p = 15 - -2. Calculate the greatest common divisor of g and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19803, -39628, -59453?\nAnswer: -79278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -300742*g - 45412039. Give a(-151).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 + 9*d**2 - 23*d**2 + 1664*d**3.\nAnswer: 1664*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 31. What is the second smallest value in r, 4\/7, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*d + 451*d - 120 = 0. Solve d*t = t + 57 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529 divided by -22.\nAnswer: -529\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 851 * -196.5\nAnswer: -167221.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 5*l + 5. Let s be c(3). Put s, -2, 3 in descending order.\nAnswer: 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose -a*t + 5 = -3. Let d(w) = w**3 - 4*w**2 - w + 2. Determine d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -43. Suppose -24*d = -26*d + 52. What is the greatest common divisor of d and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5 = a. Let n(b) = -b. Let h = -6802 - -6800. Let x(u) = -u + 1. Give a*n(o) + h*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-95 - -36 - -45).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66009 is divided by 786.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -25*s - 20. Calculate l(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*g + 5526 - 5533 = 0, g - 1 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -1\/7, -32, -0.2, -12\/11 in increasing order.\nAnswer: -32, -12\/11, -0.2, -1\/7, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 527 + -5793\/11. Let g = -4 + 4. Are g and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -265 (b) -1 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13816 divided by -4\nAnswer: 3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5553729 and -149\/33984.\nAnswer: 355438656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 4. Let g be a(7). Let f = g - -15. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 3*w - 186013*w**2 + 186016*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5904 = 27*w - 15*w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 23*o\/2 - 30.\nAnswer: -(o + 3)*(o + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, -1\/6, -15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 bigger than 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-18)\/(-27) - -7. Let v(s) = -s**3 + 12. Let q be v(0). Calculate the highest common divisor of o and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 47 + 103 = 5*m, 0*h + 3*m = 2*h + 4*m + 22 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -0.3, -14, -4\/7 in increasing order.\nAnswer: -14, -5, -4\/7, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3)*(9 - 4). Let g = -8 - -33. Suppose g = -5*i + 40. Sort b, 4, i.\nAnswer: b, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.015 (c) -1\/262 (d) -4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -9*w + 5*s - 19, 4*s = 5*w + 22. Sort 2.6, -1\/4, 2, w in descending order.\nAnswer: 2.6, 2, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbblbzlzbzhzlbz. What is prob of sequence hl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 - 3.3905. Round k to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjtwtssuujwst. What is prob of picking 3 t and 1 w?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - q = -2*b - 11, 3*q - 21 = -b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138.1 + 259521.\nAnswer: 259382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 194 + 264 - 169 + 4*u**2 - 68*u.\nAnswer: (2*u - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 - (-16 + 13 + 17 + -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 8*p**2 + 9*p + 17. Let h be g(-7). What is the nearest to 0.1 in 6\/23, h, -3?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u**2 - 56*u**2 + 106*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462550, 925097, 1387644, 1850191?\nAnswer: 2312738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a decade in months?\nAnswer: 2190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 11 in decreasing order.\nAnswer: 11, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*i + 100*i + 18*i**3 + 166*i + 108*i.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -719388 (base 12) in base 2?\nAnswer: -110110010001111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 505424123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -2489?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*8\/96 + (-4)\/12*-484. Solve a + u = 157 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-19))\/(1\/((-5 + 3)\/(-1)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**4 - 20*k**4 + 150*k**6 + 5*k**4 - 462*k**2 - 96*k**2 + 8*k**4 wrt k?\nAnswer: 18000*k**3 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 2\/(-4)*-2. Suppose -16 = -4*p + 2*x, x + 2 = 3*p - 8. Suppose -2*c = -p*b + 15 + 1, -5*c - 3*b = 0. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**3 - 7*a + 7. Let d(i) = -7*i**3 + 6*i - 6. Suppose 0 = 3*o + 1 + 20. Give o*d(r) - 6*b(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 18130*i - 49 + 11 + 27 to o*i + z and give o.\nAnswer: 18130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*i = -22, -4*v - 2*i + 2 = 8. Let y(q) = q + 7. Let z be y(-4). Suppose -5*p - 26 = 2*f - 6*f, p - 10 = -z*f. Sort 2, v, p in descending order.\nAnswer: 2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18646672 and 5830?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10724, -10739, -10754, -10769, -10784, -10799?\nAnswer: -10814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-28) - 46\/(-8). Let v be (-29 + 27)\/(o*1). Which is the closest to -1? (a) -0.1 (b) v (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86224613.\nAnswer: 449, 192037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 696781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 400 = 5*s + 2437, -4*x + 2716 = -2*s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w + 2. Let k be l(6). Let b = -3264 - -3203. Let n = k - b. Calculate the greatest common factor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - -4.93. Let s = -4 + d. Let c = 3 + s. What is the second biggest value in -4, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/6 + 3\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + 6*r**2 + r + 4. Let g(x) = x**3 + x**2 + x + 1. Let u(c) = -d(c) + 5*g(c). Suppose -5*p + 0 = 15. Is u(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.4? (a) -1\/5 (b) 3\/2 (c) 2\/3 (d) 0 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(1\/15)\/((a\/(a*a**2))\/(a**(-4)*a*a)) assuming a is positive.\nAnswer: a**(2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -30, 2\/175, 0.4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 2146803 - 2146805 + 22*y.\nAnswer: 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 57*i**2 - 13842*i - 13906. Calculate t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/894 (b) -0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-88))\/(((-4)\/(-4))\/(-25))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4485 + -4425 - (50 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/2*11\/1320*10*(-88)\/22.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c*i**4*m - 1459*c*i**3*m - 4*c*i**2*m + 43877*c*i**2 - 7*i**4*m + 25*i**2*m wrt i?\nAnswer: 168*c*i*m - 8754*c*m - 168*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 0*d - 200. Let l = d - 28. Suppose -3*a + l = a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 914808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 17*l - 26. Determine g(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000174027 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4)*-20*(-2)\/4. Suppose -u - 2*j = 8, 2*j = -5*u + 5*j + k. Let b(w) be the first derivative of w**2\/2 - w + 1. Give b(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376 or 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/3 - 20*s**4\/3 - 5824*s**3\/3 - 34496*s**2.\nAnswer: 2*s**2*(s - 66)*(s + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = v + 4*l, 803 = -8*v + 11*v - l. Let k = -266 + v. Solve -2*g = -4*q + k, -2*q - 5 = -3*g - 0*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(275) + 2 + 2*sqrt(275)))**2.\nAnswer: 1500*sqrt(11) + 61975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 183. Let v = -72 + i. Calculate the least common multiple of 5 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l - 43. Give p(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2268\/1620*(4 + -2)\/(4\/(-2)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6656236 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3908 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c = -57*c + 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(g - 1 + 1) + (3*g - 5*g + 3*g + (2*g + g - g)*(4 - 2 - 4))*(3 - 2 + 1) as a*g + d and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 38 = -34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-9))\/(-22)*117\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 1297*y - 797*y - 10 as d*y + q and give d.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd9109 - -4?\nAnswer: -bd9105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/88*10680\/1335.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 + 10. Let d = -271.9 - -266. Let w = z + d. What is the closest to 5 in 0.4, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5535 and 757065?\nAnswer: 6813585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/9744 and 151\/382800.\nAnswer: 2679600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/39 + (-116)\/6 + (-4)\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/6 + -3)\/(0 + -2). Is k smaller than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c**2 + 93*c - 13. Let i(l) = -40*l**2 - 280*l + 42. What is 13*b(r) + 4*i(r)?\nAnswer: -4*r**2 + 89*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30*((-391)\/102 - -4). Solve 0 = o - f, u*f + 1 - 26 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*h - 6, -3*o = -3*h - 4*o + 17. Let l be -10*((-66)\/12 + 5). Let b(x) = 6*x - 2. Let w(s) = -9*s + 4. Let z(g) = l*w(g) + 8*b(g). What is z(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24772 + 904 = -51*c. What is the highest common divisor of 72 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -515 divided by -103\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*f + 28*f + 94 + 2417. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670787352 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 2. Let q(n) = -n - 1. Let t = 19 - 15. Let b be -4*(-2 + 68\/16). Let u be 3\/(4*b\/(-24)). Give t*q(x) + u*h(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 798+330834.3\nAnswer: 331632.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159.454 + 2.354. Let m = x + 157. Let h(r) = r**3 + 4*r**2 - 6*r - 3. Let b be h(-5). What is the closest to b in 2\/7, m, -4\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893407 greater than 893408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 10:37 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 2. Let l(n) = -4*n**2. What is l(v(p))?\nAnswer: -16*p**4 + 32*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let d(s) = 7*s**2 + s + 1. Let x(r) = d(r) - 6*o(r). Let b(y) = -15*y**2 - 6*y - 6. Let h(g) = -5*b(g) - 30*x(g). Let w(z) = 2*z. Give w(h(a)).\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (889 + -895)*18\/4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 17 = -0*m. Let r = m - -15. What is the third smallest value in 0.1, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 30. What is the nearest to 1 in u, -3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29723, -119095, -268023, -476507, -744547, -1072143, -1459295?\nAnswer: -1906003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 165*b - 151. What is f(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 4. Let s(a) = -a**3 - a**2 - 1. Calculate -12*s(k) + 3*x(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -109216.548 rounded to the nearest ten?\nAnswer: -109220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivivhhcqkcc. Give prob of picking 1 c and 1 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 50\/30 + (-4)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 1. Let a = 22 - 16. Suppose -a*p = -2*p - 4. What is q(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7110*a**3 + 3532*a**3 + 3538*a**3.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 1.1.\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 15*z**2 - 15*z + 2. Let c be s(16). Solve 5*n = c - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:27 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3665.38704 to the nearest ten.\nAnswer: -3670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/6 (b) 0 (c) -81 (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose 4*d + 2*k = 10, -f*d - 3*k = 1 - 8. Let g(h) = 5*h - 2*h**2 + 3 + h**2 - d*h. Determine g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksuw when four letters picked without replacement from kwkkksiksskksku?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose 0 + 20 = -j*s. Let g be (-6)\/(-8) + (-1)\/s. Let m(a) = -a**3 - a + 1. What is m(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 7*s**2 - 8*s - 17. Let d be w(-7). Suppose -6*p + 33 + d = 0. Suppose p*i - 396 = -0*i. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30383, -30374, -30339, -30266, -30143, -29958, -29699?\n\"Answer: 2*x**3 + x**2 - 8*x - 30378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14425 (base 6) to base 14.\nAnswer: bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081721 to six dps.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = d + 7, 3*d + 16 = 4*y + y. Put 4, y, -12, -2 in ascending order.\nAnswer: -12, -2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.3 + -0.3. Let b = h + -14. Let r = -0.2 - -0.3. What is the second biggest value in b, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2121 - -2121. Let p(t) be the first derivative of -23\/2*t**2 + 0*t + n*t**3 + 22 + t**4. What is the second derivative of p(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -1\/120*d**6 + 1\/6*d**3 - 1\/12*d**4 + 0*d + 0 + 1\/20*d**5 - 10*d**2. Give x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65053?\nAnswer: 65053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 80?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -40205\/7 (c) 2\/5 (d) 3 (e) 1\/5 (f) 4\/3 (g) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96330 is divided by 669?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 11.5. Let n = 121.9 + -125.4. Let f = n - c. Sort 0, 0.3, f.\nAnswer: 0, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, f: 2, y: 1, a: 1}. What is prob of picking 1 a, 2 f, and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from elelleeell?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (7 - -4) + 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*1*4\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 - 9*k. Let i(h) = -h**2 + 16*h + 661. Let s be i(35). Let b(l) = 5*l**2 + 4*l. What is s*g(f) - 9*b(f)?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1666, -1668, -1670, -1672, -1674, -1676?\n\"Answer: -2*c - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1967326 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -3 - (9 - 17)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/7 != 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 - 1. Let c(v) = v**3 - 4*v**2 + 8*v + 4. Determine c(r) + 5*s(r).\nAnswer: -4*r**3 + r**2 + 8*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861*x**2 - 3*x + 3*x - x.\nAnswer: 861*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -375 - -420. Suppose -i = -5, -2*w + 3*w = 3*i. What is the greatest common divisor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 2\/7, 8\/13, 0.286099, 2\/9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Let v = j + 4. Let t(z) = 15*z**2 + 391*z + 31. Let w be t(-26). Solve -r + 5 = -4*f + 26, 0 = w*f + v*r - 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 21*z + 211. Is 12 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 3}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1387945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-198)\/(-11))\/((48\/(-6))\/(-8)). Sort u, 3, -18 in decreasing order.\nAnswer: u, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8910 and -570.1.\nAnswer: 8339.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {g: 1, p: 2, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 78 (base 12) to base 6\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48 (b) -0.6 (c) -3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484*h**3\/3 - 3168*h**2 + 1168*h - 320\/3.\nAnswer: -4*(h + 20)*(11*h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 81*z + 192. Let d be o(0). Solve 11*j = -258 + d for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 16*i**3 - 6716*i**2 - 1369680*i - 342000 = 0.\nAnswer: -150, -1\/4, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3368310 and 4543?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5647092 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*w + 72488, -4*w = 89*n - 91*n - 72484. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/11)*l**(-2) assuming l is positive.\nAnswer: l**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:42 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -2.253815.\nAnswer: -36.06104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufufuuu. What is prob of sequence fuff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 6. Let g(b) = 6*b + 8. Let k(h) = -3*g(h) + 4*y(h). Let x(m) = 108*m. Determine x(k(d)).\nAnswer: -216*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*f**2 + 2)*((-f + f - 3*f)*(3 + 1 - 2) + (-4 + 4 - 4*f)*(-168 + 80 + 81)) to the form l*f**3 + d + b*f + s*f**2 and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197165381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q - 3. Suppose 26*o + 15 = 31*o. Let t be ((-1)\/o)\/((-7)\/84). Calculate y(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1368695*x**4 + 2137150*x**2.\nAnswer: 32848680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -29*w**2\/5 - 171*w\/5 - 252\/5 = 0?\nAnswer: -3, -84\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*n - 1942*n - 835*n.\nAnswer: -3043*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257742?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -11, 1 in decreasing order.\nAnswer: 5, 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814.6 rounded to the nearest 10?\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 74*p + 819. What is x(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(4\/2)*-1. Suppose r*k - k = -675. Calculate the common denominator of -23\/6 and k\/(-4)*(-4)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 35. Let v be r(8). Let y be -4 + (1 - 1) - (3 + -3 + -8). Let f(l) = -l**2 + 8*l - 9. Let p be f(6). Solve v*s = y*s - p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 22*d - 56. Let x be j(-11). Let u = x + 314. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85805 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 96237 = -2*w. Let j(g) = -w + 32078 - 2*g**3 + g**3. Let r(l) = 8*l**3 + 3. Give 3*j(m) + r(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98895 divided by 285.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15894*f = 17477*f - 23745 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, -5, -2\/101, -48, 0, -4.92?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 - 5*x - 2. Let d be c(-3). Suppose -d = 4*n - 4*r, -4*n = -2*r + 67 + 35. What is the common denominator of n and 22\/5 - (0 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750355?\nAnswer: 5, 31, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*h - 2, -5*v + 0 = 3*h + 26. Let u(j) = 4*j + 58. Determine u(v).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 63 = -2*x. Let n(l) = 8*l**2 - 15*l + 38. What is the tens digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.318 - -0.218. Put r, 2\/7, -7 in increasing order.\nAnswer: -7, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2331 + 11?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = t + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022 (base 3) to base 14.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 525419823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-4)*(-26)\/26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 6, a: 3, i: 9}. Give prob of sequence na.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7 = -d + 12 - 15, -h + 26 = -6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8034451 and 5?\nAnswer: 40172255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75393523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) 1\/8 (b) -1\/4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1*sqrt(352)*2)\/sqrt(8))\/(sqrt(4) + sqrt(4)*-3*-2 - (sqrt(484) + (sqrt(484) - 2*sqrt(484)))))**2.\nAnswer: 1584\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 31713.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53532844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let 27*h**3 + 827853*h**2 - 9754086*h - 2208456 = 0. Calculate h.\nAnswer: -30673, -2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 - 65*l**2 + 44*l + 91. Let x(q) = q**3 + 13*q**2 - 9*q - 18. Let j(a) = 2*g(a) + 11*x(a). Give j(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4\/(24\/3)))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 646 - 4.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 65\/(-25))*200\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 796 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.32 - 2.33. Let u = k - -0.01. Let p = 11.0000036 - u. Round p to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.276 - -37.2728913. Round v to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48677755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -4, -2, 14 in decreasing order.\nAnswer: 14, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1315936 - 2.2303513\nAnswer: 1315933.7696487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 9*i**3 - i**3)*(3*i + 0 + 0) + (20*i - 6*i**2 - 20*i)*(-i**2 + 4 - 4).\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*q + 64253*m**3*u**2 + 2*m**2*q*u + 31*m**2*q + 2*m*q*u**3 + 2*m*q*u**2 + 228*m*q*u - m wrt u.\nAnswer: 128506*m**3 + 12*m*q*u + 4*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -350036?\nAnswer: -350042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 25?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 4 (b) -2 (c) -0.3 (d) -2313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -272553586.3 rounded to the nearest one million?\nAnswer: -273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 56 = -3*w, 7*w = 3*w + 3*t + 33. Let a(q) = 4*q**2 + 78*q + 364. Let k be a(-12). Solve -w*s + k = -10*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 28 - 8. Suppose -24*i - 295 - 17 = 0. Let w = i + h. Sort 1, w, -4 in decreasing order.\nAnswer: 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182079.\nAnswer: 71, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407105026?\nAnswer: 2, 367, 554639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:51 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + (-8)\/12. Let v = m + 9. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/3 + 3*l**2\/2 - 8*l + 4. Let v be w(-6). Let t = 4 - 1. Solve -t*x + x = -v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.224, -0.5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(5))*-1 + -5 - (-2*sqrt(2025))\/((sqrt(125) - -1*sqrt(125)) + sqrt(125)))**2.\nAnswer: 8*sqrt(5) + 141\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11612 and -3.\nAnswer: -34836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3504266?\nAnswer: -3504261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18 + 20)\/(2 - (-234)\/(-118)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*v**4 + 77*j + 2*v**4 + 8*v with respect to v.\nAnswer: -8*j*v**3 + 8*v**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (56\/(-42))\/((-6)\/351). Let z be d\/(-91)*7\/(-3). Solve 0 = 3*y - z*j - 5 - 9, j = 3*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:57 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25087 = 2*a, -4*k = -5*a - 30895 + 93645. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:23 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 8*f**2 - 8*f. Let r be d(7). Let c be (-3 - 57\/(-21))*r. Is 13 a factor of 26*(1 + (-1)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 70. Let m = 0.04 + -13.04. Let x = m + 9. Put -0.1, x, v in decreasing order.\nAnswer: -0.1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242291286.\nAnswer: 2, 31, 68424053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 8 - 0. Let j be -60*(-231 + 2 - d). Round j to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*x - 439 + 439 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 44630*g - 357068. Determine m(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 2987, 6737, 11997, 18773?\nAnswer: 27071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 106 + l + 2176*l**3 + 2178*l**3 - 4394*l**3 to h*l + z + r*l**2 + c*l**3 and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -98, -4, -5 in decreasing order.\nAnswer: 1, -4, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - 0.13. What is the second smallest value in 3\/5, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 23869*f. Let k(o) = 3*o**2. Calculate k(i(y)).\nAnswer: 1709187483*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 0, -0.4, 0.012, 9, 231\/5, 0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.18 - 0.18. Let i = 3.3 - o. Which is smaller: i or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:43 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*f - 38, 0*y + 16 = -f - 2*y. Suppose 2*c = -c. Suppose 2*p + 2*p - 12 = c. What is the third biggest value in -1, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 24. What is the nearest to 3 in f, 1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100101101 (base 2) in base 14?\nAnswer: -953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 4 (c) -4 (d) 741\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129896 and 10088.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxkkkmkkx. Give prob of sequence xxkm.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.07. Let h = r - -0.079. What is h rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12578.05*-24\nAnswer: 301873.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose -2*f = 2*x - 32, -n*x + 9*x = 0. Suppose -3*a + f + 5190 = 4*k, -2*a = -2*k + 2596. Round k to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3920 and -0.294.\nAnswer: 1152.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*k + 19, -3*q - 3 = -2*k - 8. Let p(i) = -i**2 + 6*i - 7. Let m be p(5). Does 5 divide (-20)\/2*q - m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -1\/7*n**3 + 0*n**2 + 0 - 9*n + 2\/21*n**4 - 1\/70*n**5. Find x such that y(x) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1060 - -1060. Let a be (-6)\/70 + (-2)\/(-7). Are i and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2531*-0.8.\nAnswer: -2024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.32108ng in milligrams?\nAnswer: 0.00000632108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/((-5)\/12*42\/105). Calculate the greatest common divisor of 3480 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3785*p. Let m(k) = -404*k**2. Give m(s(x)).\nAnswer: -5787794900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/6 + 48*s**2 + 1312. Suppose y(c) = 0. Calculate c.\nAnswer: -192, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 640*t**2 - 1302*t**2 - 2*t**3 - 3*t + 652*t**2 + 6 + 0*t**3 to the form k*t**3 + j + h*t + p*t**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04813 plus 6.15?\nAnswer: 6.19813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3587*m - 712*m - 3359*m - 114870 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/24 + 82*i**2. Let h(d) be the first derivative of -166*d**2 + 178. Give h(m(x)).\nAnswer: 332*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**16)**(9\/8))**(-16) assuming t is positive.\nAnswer: t**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 3) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 300. Let y be b(0). Let j be y\/170 - (2 + -4). Sort -5\/2, 0, j in descending order.\nAnswer: j, 0, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46043, -92051, -138063, -184079, -230099, -276123, -322151?\n\"Answer: -2*k**2 - 46002*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o = 4*r - 164, 16*o + 14*o - 10 = 35*o + 4*r for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98783, -197640, -296495, -395348, -494199?\nAnswer: -593048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 1\/180*k**6 - 1\/60*k**5 + 40*k + 0*k**2 + 1\/18*k**3 + 0 - 1\/72*k**4. Factor z(p).\nAnswer: p*(p - 2)*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.4, 5, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 0 = 2*g + x - 17, m*g - g - 33 = x. Calculate the remainder when 69 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6243 (base 7) to base 10.\nAnswer: -2187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 5*g - 4. Let c be z(-3). Let w(d) = -d**3 - 11*d**2 - 21*d + 4. Let b be w(c). Let a be 34\/9 - ((-80)\/b - 2). Solve -3*s = -a - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 r when four letters picked without replacement from {u: 10, r: 4}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let a be c(2). Let v(i) = -a + 2*i + 2. Let o(p) be the second derivative of p**3\/6 + 3*p. Determine o(v(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1456365295 - -200823.\nAnswer: -1456164472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15\/11 - 146\/99. Is 1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 0*n**2 - 7*n - 3*n**2 - 5. Let r be k(-4). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 - (-5)\/10*0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g - 296*g**2 - 1 + 135*g**2 + 155*g**2 to the form x*g**2 + c*g + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(4\/(-6)*3). Let q = k + 49. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 14754532?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 29, 22, 17, 14, 13, 14?\n\"Answer: f**2 - 12*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -693477*c**3*s**2 - 90*c**3*s + 5*c**2*s**5 + 18458*c*s wrt s?\nAnswer: -1386954*c**3 + 100*c**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/(-40325))\/((-2)\/(-10)). Let c = -71553\/138718 - g. Let i = c + 1\/43. Which is bigger: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - -1 - (0 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7784 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let a(x) = -x**2 - 10*x - 5. Let s be a(-9). Let k(i) = s*i**2 + 799 - 799. Determine k(p(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 47*x. Let m(o) = -10*o. What is q(m(a))?\nAnswer: -470*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 - t + 3. Let m be v(-3). Let f = -4 + m. Solve f*x + 1 = b, -x - 3*b - 30 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52668 divided by -1254?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.66 (b) -4 (c) 1\/120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -581, -586, -601, -632, -685, -766, -881?\n\"Answer: -f**3 + f**2 - f - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 339, 0, 2 in descending order.\nAnswer: 339, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3575 and -168.\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k**2 - 24*k**2 - 2*k**2)*(-6*k + 6 - 6).\nAnswer: 270*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -192a77 (base 14) to base 12\nAnswer: -36b841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52373 divided by -72.\nAnswer: 52373\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.016 + -2.116. Let x = i + -0.9. What is the biggest value in x, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*y + 19, -325*n - 3*y = -326*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11982 = 3*s, -224*s = -6*p - 222*s + 17988. What is the highest common divisor of p and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 9. Let x be c(-13). Suppose x*r = r - 0*r. Suppose m + 7 - 25 = r. Calculate the greatest common divisor of m and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/4)\/k)\/k*k)**(-40)\/((k\/k**(-13))\/k**5) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 189*v - 14580.\nAnswer: 3*(v - 45)*(v + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18317000 divided by 457925.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j - 15 = 0, 0 = -5*t + 4*j + 10. Let n = -1 - t. Let g(c) = 16*c**2 - c + 1. Let w be g(n). Solve d = -3*d - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9089 - 118155\/13. Which is the third biggest value? (a) f (b) 80 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 3565?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k + 135 = -5*d, -d + k = 21. Sort -2\/5, 0, 0.2, -3, d.\nAnswer: d, -3, -2\/5, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in 3, 47, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j - 4302 + 8550 - 4254.\nAnswer: 24*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4347827 - 5970827.\nAnswer: -5970830.4347827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 - 373 - 379 + 167*z**3 + 1131 - 379.\nAnswer: 184*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01687711508 rounded to five dps?\nAnswer: 0.01688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5826, 11492, 17162, 22836, 28514, 34196, 39882?\nAnswer: 45572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 13. Let s be (-224)\/y*((-5)\/(-4) + 1). Let h = -22 + s. Calculate the smallest common multiple of 32 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113\/3 - 37. Let t = -95 - -91. Sort 3, x, t in descending order.\nAnswer: 3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(-4)\/16 - 26\/(-1). Suppose 21 = d*s - 124. Solve -5 = a - b, -9 = s*a - b - 0*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0238 + 4163963.98836\nAnswer: 4163963.96456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 500*l**2 - 6332*l + 15. Determine f(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-2\/15))\/s*s)\/s**(-1\/2))\/(s**9*s*s*s*s\/((s\/(s**(-3)*s))\/s)*s*s) assuming s is positive.\nAnswer: s**(-319\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-28)\/134120). What is the greatest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u - 3*u - 9*u + 4*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 (base 9) in base 14?\nAnswer: 2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 495571151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*c. Suppose -5*a + 11310 = 2*o, c*a + 10 = -5*a. Suppose -5*i + 5*y = -0*y - o, 4524 = 4*i - 2*y. Round i to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:31 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 - 262*m + 158*m + 149*m + 2. Determine k(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3501 - -1.19.\nAnswer: -3499.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1072 and -0.4.\nAnswer: 428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.016 + 0.058. Let v = q - 17.542. Let o = v + 14. Round o to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241 and 2712455.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*r = 5 - 15, 0 = -r. Solve -u*g + 9 - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-22))\/(-4 + 810\/198).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a century?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 5*k + 162, -24*w - 22 = -3*k - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + -26.4. Let n be (-148)\/(-1110) - 21\/(-180). Which is the third smallest value? (a) -1 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27 - 1)\/(11\/(-22)). Suppose 5*y = -5*z - 125, -4*y = 3*z + 39 + w. Let b be (y\/25)\/(2\/(-5)). Put -4, -5, b in ascending order.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v. Suppose -2*b + 15 = -5. Suppose -g = x - b, 0 = -x + 1 - v. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 272. Let q(g) = g**3 + 145 + g**2 - 288 + 3*g - 4*g + u. Suppose 0*f = -4*f + 16, 4*m - f = -12. Determine q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 2*z = -57 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/4 + 42*q**4 - 493*q**3 - 183*q**2\/2 + 30771*q\/4 + 14499\/2 = 0. What is q?\nAnswer: -179, -3, -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*a**3*h**3*n - 85*a**3*h**3 - 5*a**3 + h**3*n wrt n?\nAnswer: 18*a**3*h**3 + h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2332 and -127\/13356.\nAnswer: 146916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 d when four letters picked without replacement from ddazmfu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4633645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -72.2. Which is the second smallest value? (a) t (b) -4 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d - 24711 + 24941 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.52 + -55.78. Round s to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+3.9\nAnswer: 4.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3724344 or 40967769\/11?\nAnswer: 40967769\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b - 110. Let x(c) = 4*c**2 - 28*c + 550. Determine 14*g(m) + 3*x(m).\nAnswer: -2*m**2 + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 + 8)\/(2\/(-1)). Suppose -2*v - 4*y = -4*v + 8, q*y - 12 = -3*v. Solve 0 = -2*m - v + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9 - (-62)\/(-12))*(55 + -79 + 28)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 559222408 and 0.21?\nAnswer: 559222407.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, -8.\nAnswer: -8, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.2 (c) -1 (d) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -4*a**3\/3 - 8*a**2 + 20*a + 1. Let k(y) = y**2 + 4*y - 5. Let q(g) = 6*d(g) + 26*k(g). Factor q(i).\nAnswer: 2*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 3, -90.704, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7402809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 + 7*k + 12. Let c(y) = 7*y**2 - 7*y - 13. Let s(f) = 5*c(f) + 6*v(f). Let q = 126 + -121. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38.8*1682998\nAnswer: -65300322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b + 101. Let x be a(8). Solve 0 = x*m - 15*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 14. Let o = -6 + 11. Suppose -104 = -3*s - s. Calculate the remainder when s is divided by r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -539a (base 14) to base 10.\nAnswer: -14444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 3, e: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295883 (base 11) to base 8.\nAnswer: 1605421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4095)\/315 - 8\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2788 + 3299. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000110110100110001 (base 2) to base 14\nAnswer: -77a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17856?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91\/23 + -1657\/506. What is the common denominator of z and -37\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y + y + 4 - 5 + 2*y**2 - 5*y. What is x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -3 (b) -0.06 (c) -1\/104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1092, -2197, -3300, -4401, -5500, -6597?\nAnswer: -7692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.8. Let t = g - -1. Let k = 0.2 + t. What is the third biggest value in 1\/5, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5 + 25*t**4 + 248*t**3\/3 + 176*t**2\/3.\nAnswer: -t**2*(t - 11)*(3*t + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/27)*l)\/l**5)\/(l**(-1))**(-43) assuming l is positive.\nAnswer: l**(-1267\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282201 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 379 divided by -1\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/10)\/f**(-6))\/((f\/(f**(1\/5)*f))\/(f\/((f*(f*f*f*f**(-1\/7))\/f*f*f)\/f)))*(f**(1\/3))**8\/((f*f**(-2\/3))\/f*f**(-2\/17)) assuming f is positive.\nAnswer: f**(24611\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/(d*d\/(d*d**(-23))))\/d*d*d**12*(d**(-5)\/d*d)**11 assuming d is positive.\nAnswer: d**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.5 + -0.9. Let z = -33.2 - c. What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -82. Let o = r - 33.000376. Round o to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x**3)\/((x*((x**6*x)\/x)\/x)\/(x**(2\/5)\/x*x)))\/(x**(3\/10)*x**(1\/11)*x*x\/x**(-1\/4)*x*x*x\/((x\/(x**(-9)\/x))\/x)) assuming x is positive.\nAnswer: x**(-1373\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 460 = 427. Suppose -24 = -3*u + 5*m, u - 5*m = -3*u + 27. Suppose 3*i = -s - 20, -s - 4*i = u*s + 40. Sort s, y, 2, 3.\nAnswer: s, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14302 - -14335. Solve 13 = 20*c + y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let s = 92 - 90. Let z be (-9)\/s - (32\/2)\/(-4). What is the biggest value in z, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7581 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 6243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:34 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*q + 7*d + 8 = -1085*q + 3*d, 3*q + 27 = 4*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -53789114.\nAnswer: -53789114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than -24649548334340?\nAnswer: -24649548334351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - 4*h + 5. Let c be i(-5). Let b = c - 282. What is the common denominator of 2\/1*b\/(-12) and -37\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*o - 5*r - 74, -7*r + 12*r + 2 = 123*o - 126*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 73 = 5*g, 15*g - 16*g - y = -3*y - 33 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 56, 75, 94?\n\"Answer: 19*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4347 times -0.17\nAnswer: -738.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8888511?\nAnswer: 3, 23, 128819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 2*u**2 - 2*u + 1. Let z = -9 - -10. Determine i(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21173\/108 + -10590721\/540. Let i = p - -19543. Let f = i - 127. Is f greater than -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4441.\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -12 (b) 1 (c) -3\/41 (d) 2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235783 and 3845.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4389 (base 13) to base 10\nAnswer: -9408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4377451837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66252832799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - -110. Let l = 179 - a. What is the least common multiple of l and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 + 17003838*o**3 + 1574*o**2 + 17*o - 78 wrt o.\nAnswer: 24*o + 102023028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from lvztatzvvdz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11915940.\nAnswer: 2, 3, 5, 198599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + 0*u)*(1 + 4 - 6)*(-2*u - u + 2*u)*(1 + 0 + 1)*(146 + 67 + 66) to w + s*u**2 + h*u and give s.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -16418?\nAnswer: 4925.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -2. Let j = 29 - b. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + j**2 - j + 2. Let l(n) = 2*n**3 + 2*n**2 - n + 3. Suppose 3*y - 8*y = 10. Let z = 673 - 670. Give y*l(c) + z*m(c).\nAnswer: 2*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 102202202303 (base 4) to base 7\nAnswer: 56211224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r - 2*r + r. Let m(v) be the first derivative of v**3\/6 + v + 2. Let t(a) be the first derivative of m(a). Calculate t(c(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 128 times -74572\nAnswer: -9545216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -44, -64, -84, -104?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 30*j - 23*j = 77, -3*j - 27 = 2*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/148261976 and -47\/6?\nAnswer: 444785928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 3*a + 4. Suppose 5*i = 5*s - 20, -2*i - 2*s = -1 + 5. Does 3 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81691920 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*q + 147, 4*d - 2*q = 179 + 7. Suppose d = 7*g - 3*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 n(c) be the second derivative of 0 + 20*c + 0*c**2 + 4\/3*c**3. Let d(v) = -3*v**2. Determine d(n(k)).\nAnswer: -192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 882?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from esvlveevvstv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1795183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5191 and 1428.851727.\nAnswer: 6619.851727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*b - 55*b + b.\nAnswer: -110*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64\/3*d - 64\/3 - 20\/3*d**2 + 2\/3*d**3 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 > -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*p - 3 - 2*p + 2 - 2 + (0 - 5 + 4)*(2*p - 3*p + 0*p) + (p - 3*p + 0*p)*(0 + 0 + 1) + 2 + p - 2 - 670 + 17*p + 670 to o*p + i and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -24159\nAnswer: 990519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188251*m - 1876 = -188117*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*a**2 - 8 + 172*a**2 - 420*a**2)*(3*a**3 + 2*a**3 - 4*a**3).\nAnswer: -44*a**5 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(30)\/(sqrt(10) + (sqrt(120)*-4)\/sqrt(12)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4+5303042753\nAnswer: 5303042757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 325 + 328 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 14*w - 37 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -336019, -672037, -1008055, -1344073, -1680091, -2016109?\n\"Answer: -336018*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**2 - 30*u - 164. Give q(-5).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193086 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/2))**4*(q**(-2\/5)\/q)**(-12))\/((q*q\/(q*q\/(q\/q**(-1\/3))))**(-21\/5))**(7\/8) assuming q is positive.\nAnswer: q**(237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(-77552 + 650*n + 77552)*(-2*n - 4 - 1 + 3) in the form q*n**2 + d + h*n and give q.\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29371 and -187556778.\nAnswer: -187527407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3378716*c**2 - 5328967*c wrt c?\nAnswer: 6757432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -48*j - 418. Calculate y(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**2 - 1\/147*x**7 + 47*x + 0 + 1\/21*x**4 - 2\/105*x**6 + 1\/21*x**3 + 0*x**5. Let t(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*p + 11*p + 816 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (45072\/(-10))\/(-8) - 4\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3, 5*g - 7*g = -4*f + 206. What is the remainder when 621 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -809 + 809.0006834. Round a to 5 dps.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403151746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272766766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -21*z**3 + 3*z**2 + 7*z + 4. Let j be h(8). Round j to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -31?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7510052 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -574 + 612. What is the greatest common factor of r and 1216?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2480, -4934, -7370, -9788, -12188, -14570?\n\"Answer: 9*o**2 - 2481*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.8 + -67. Let c be 3\/(-2)*25\/45. Sort u, c, 1, 10 in ascending order.\nAnswer: c, u, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 23 = 5*u + 9, 4*v = -4*u. Let j be 2 + v + 2 + 2. Let a(t) = -t**3 + 5*t + 0*t - 61*t**2 + 64*t**2 + 5 - 3*t. Calculate a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -40*w - 2913. What is f(-73)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861942 divided by -930971?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-84)*(-34)\/3*(-3 - 0). Let t(k) = 23*k - 56. Let q(r) = 8*r - 19. Give l*q(g) + 6*t(g).\nAnswer: 2*g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 6\/(-27). Let z = -2\/9 + x. Let r = -2.9 + 3. Which is the second smallest value? (a) z (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 3*r**2 - r**2 + (-6*r + 7*r + 5*r)*(3*r + 0*r - 4*r) + (2*r - 3*r - r)*(-52*r + 9*r - 11*r).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94, -109, -146, -217, -334, -509?\n\"Answer: -2*w**3 + w**2 - 4*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5186*c - 1 + 7 - 5185*c. Determine k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 - 6*v - 13. Give n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, -12620604 in ascending order.\nAnswer: -12620604, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021584 to 5 decimal places.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116513 (base 10) to base 2.\nAnswer: 11100011100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115262240 to the power of 1\/2, to the nearest integer?\nAnswer: 10736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19370 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 417, 2641, 6687, 12555?\n\"Answer: 911*j**2 - 509*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + 4*3*sqrt(363) + sqrt(363) + 1)**2.\nAnswer: 330*sqrt(3) + 81676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292056?\nAnswer: 2, 3, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114609*r + 114644*r = 630 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.86 - 10. Let t = 3.86 - v. What is the nearest to 0.1 in t, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 + b**2 + 7*b - 4. Calculate t(3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -25*w**8\/336 + 343*w**4\/24 + 372*w**2. Find the second derivative of r(p) wrt p.\nAnswer: -500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230 - -230.172. Let s = c - 0.1244. Round s to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:52 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:16 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c. Let s be y(1). Let r = -5 + s. Suppose -2*q - r*d + 25 = 0, 4*q + 14 = 3*d - 1. Let x(m) = -m**3 - m**2 + m + 3. What is x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1870, -1878, -1886, -1894, -1902?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/12 - 17*v**4\/24 + 5*v**3\/3 + 59*v**2. What is the tens digit of k(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -556, -571, -602, -655, -736, -851, -1006?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -1 + 126 + (2 - (5 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -34. Suppose -3*a = 5*f + q, -f + 6 + 1 = 4*a. What is the third derivative of -8*t**5 - 81*t**3 + 81*t**a + 3*t**2 wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*0)\/((-10)\/320*-32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -135, -220, -305?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -2*j, -23 = -5*j - 0*n - 2*n. Let i be j\/9 - (-2)\/(-6). Solve 4*v + 2 + 18 = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -271681, -271671, -271659, -271645, -271629, -271611, -271591?\n\"Answer: s**2 + 7*s - 271689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddnnn. What is prob of sequence ndd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11340 and 22314852.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 1, q: 4}. What is prob of sequence rqrq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/(-663)*(-34)\/4. Suppose 0 = -3*u - s + 6*s + 1, -2*s + 2 = 0. Solve 3*r - 21 = -u*o - 0*o, 0 = 3*o - 2*r + f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 23*u**6\/720 + u**5\/10 + 7*u**4\/3 + 21*u. Let i(f) be the third derivative of w(f). Let p be i(2). Is p smaller than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, -80, -318, -788, -1568, -2736, -4370?\n\"Answer: -13*f**3 + f**2 + 4*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 1.8. Let w = f - -5. What is the second biggest value in 0.2, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 29*i + 4773. Calculate l(-166).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 - -5) + 0\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -688 (b) -1\/331 (c) -3\/8 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.5, 6, 0.4, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 5\/102, 0.06, 13, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37567 and -107?\nAnswer: 37460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-1\/5)))\/s)**(-5)*(s*s\/(s**(-3\/10)\/s)*s)\/s**0 assuming s is positive.\nAnswer: s**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 8*s - 3. Let u be j(8). Let y(r) = -r**2 - r + 1. Let c(p) = 43 - 40 + 16*p - 5*p**2 - 18*p. Calculate u*y(x) + c(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*m**3 + 219*m**3 + 220*m**3 - 665*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3577 is divided by 301?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-11))\/((-1020)\/748)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5. Let b = 18 - 37\/2. Let j = 3.9 - 4. What is the nearest to j in g, b, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 7826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -3.04. Let p = 3.002 + h. Round p to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 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: Suppose 5*l - 9*l + 20 = 0. Let c(w) = w**3 + 4*w**2 - 8*w - 11. Let j be c(-5). Suppose h = -j + l. Solve -a = 2*i + h, a - 5 = 4*i + 4*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + 11\/5. Suppose -3*n + 30 = 4*m + w, -3*m = -3*n. Solve m*c + s - 5 = 1, 2*c = 4*s - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (126\/(-8))\/(2\/(-8)) is divided by (-2)\/(92\/32 - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 8, 3*z - 38 = 3*u + 31. Let q be (8\/(-14))\/(6\/u). Let w = 14 - 11. Solve 1 = -q*x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 15 - 5. Suppose 4*z + 5*v + b = 0, -2*v + 3*v + 2 = 3*z. Let l = -3 - z. Let h(j) = 5*j**2 - j. Let o(k) = -k**2. Determine l*o(n) - h(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-30)\/(-12) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110 - -108) + 18\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22975 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 17. Let m = k - -4.9. Let v = 0 + 4. Sort m, 3\/7, v in ascending order.\nAnswer: m, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m + 17. Let l(v) = -6*v + 6. Suppose 0*j + 5*j = -3*a + 52, 5*a = -j + 6. Suppose 13*z + 93 - 41 = 0. What is j*l(u) + z*f(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 67.\nAnswer: 1, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 - (39 - 20) - -156?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 3*d**3 - 52499*d - 10 + 52497*d + 4*d**2 - 2*d**3. Give p(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 2 + 3*g**3 - 3*g**3 as l*g**2 + u*g + p + k*g**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 827625, 827626, 827627, 827628, 827629, 827630?\n\"Answer: q + 827624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let j(i) = 2*i**3 + 3*i**2. Let u(q) = 3*q + 19. Let b be u(-6). What is b*j(c) - 3*f(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 1751299518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -80 times -332209\nAnswer: 26576720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -20*a + 420. Let i be 4 + -3 + 268 + 0. Let r = i - a. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (13 - 30 - ((-3 - -3) + -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2730 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 11*p - 14. Let n be h(10). Let t = -39 + n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t - 608. Let v = 213 - t. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = 42 - 147 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 95.062695\nAnswer: 98.062695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 + 156. Is -3\/59 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 + 3. Let p be u(9). Which is the third biggest value? (a) -1 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063153 is divided by 561?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86832\/(-9720)*18\/(-12)?\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1\/4, -1\/2, -4, -4.1, -76, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.5 (c) -52893 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -641.873461 and 1.4415.\nAnswer: -640.431961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 10938*z - 186231. Determine b(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round -16339754.75 to the nearest one hundred thousand.\nAnswer: -16300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 9. Let l(p) = p**3 + 8*p**2 + 7. Let t be l(c). Let s be t - (1 - -1) - 1. Solve -s*w = 1 + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2624688 - -3.\nAnswer: 2624691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 4. Let d be v(-3). Let y be 34\/6 - d\/15. Solve 0 = -2*g + y + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (296\/(-12))\/((-6)\/27). Suppose -j = 2*j - i. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -22. Let y be (r - 3\/3) + -21. Let c = 22 + y. Solve 0 = c*a - 5*s - 8, -a + 3*s + 5 = s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 3147.\nAnswer: 7\/3147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 75*m**2 + 728*m + 9. Give p(11).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*g + 283*g - 164*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 31. What is the biggest value in 0, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570 divided by -19.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from qcccccmym.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2*j - 18. Determine r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1121 + 1113512?\nAnswer: 1115033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddw when three letters picked without replacement from ywwydd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**3 - 5985*f**2 + 897000*f - 447005 = 0.\nAnswer: 1\/2, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i + 18. What is k(7)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.451? (a) -2\/15 (b) 1 (c) 523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + l = 2*p - 1, 0 = p - 5*l + 19. Let z be (2 - 0)*(3 + p). Let s be z\/4*(-24)\/20. Which is the nearest to 0.2? (a) -1\/4 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0979009nm in centimeters?\nAnswer: 0.00000000979009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 53. Let r = 29 - 29.7. Suppose 9 = 7*v + 2. What is the fourth biggest value in -5\/2, l, v, r?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37078 or 37095?\nAnswer: 37095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003447394 to six decimal places.\nAnswer: 0.000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-724*l - 2519*l - 746*l)*(5*l**2 + l**2 - 4*l**2).\nAnswer: -7978*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79452 and 40.\nAnswer: 794520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 41*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.5 + 26. Let j be (0 + 1)\/(5\/15). Let w = -8 + 3. What is the second biggest value in w, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*1)**2 + -2.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t + 1. Let x be s(-2). Let z(n) = -n + 19. Let u be z(x). Suppose 4*j - u = 34. Is 12 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220268700 divided by 127692.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -61*c + 2620. Let n be r(40). Which is bigger: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 19*n**2 - 49*n**2 - 3 in the form m*n + h + k*n**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by -1195450\nAnswer: -87\/1195450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let f be ((-1)\/(-15))\/(2\/(-4)). Which is the closest to z? (a) -1\/3 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**3 - 153*x**2 + 36*x + 79. Calculate v(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952637672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 - 42. Let o = 44 + c. What is the remainder when o is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 22.1046615.\nAnswer: 21.8046615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/42)\/(((-96)\/(-18))\/(-4)). Which is the closest to 56? (a) 1 (b) v (c) 1\/5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 93\/(-18))*-4. Which is the third smallest value? (a) 2\/23 (b) m (c) -2\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - 1. Let m(w) = 65*w**2 - 16*w + 2. Let u(t) = 6*g(t) + m(t). Is 14 a factor of u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -466 + -32?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 6:15 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588120487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/2, -4569?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/120 - t**5\/5 - 5*t**4\/12 + 1730*t**2. Suppose -47 = 5*u - 4*a, 5*a = u + 4 - 3. Determine y(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = -5*h + 3*q + 35, 0 = 4*h + 4*q + 472. Let w be 18\/h + (-28)\/(-13). Solve -13 = 5*f + w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 7*y + 900. Let g = -87 - y. Solve -g*o = -0*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 22112 - 22086 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 14*n**2 + 53*n - 992. Calculate w(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 6 + 17 - 3 + 31*n**2 to the form t*n + j + s*n**2 and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 + (66 - 24))\/(2\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 2*a + 915. Let n be a\/264 - 2\/(-11). Suppose -3*k = -3*b - 3, 5*b - 2*b = k - 1. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - -1) + -15 + 28 + -12 - -3\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.4771g in milligrams?\nAnswer: 15477.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4982 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 1:23 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-42)*(-39)\/(-143)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(32) - (sqrt(8) + -1)).\nAnswer: -60*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 2\/13, 2, 2\/9 in increasing order.\nAnswer: 2\/13, 2\/9, 0.23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/19 + 32\/19*j + 42\/19*j**2 + 18\/19*j**3.\nAnswer: 2*(j + 1)*(3*j + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270 or -272?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 5*g**2 - 3*g. Let h be t(4). Suppose h*d = 138 + 134. Suppose -2 - d = -v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-3)*4\/10. Let g = 0.11 - 9.11. Let p = 9.3 + g. What is the closest to p in 1\/2, -0.3, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 315701912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -73, -200, -437, -820?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -0.1 (c) 3 (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111.3? (a) -3 (b) -1 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 123\/5, -35, 0.8 in descending order.\nAnswer: 123\/5, 6, 0.8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, 417, -22, -6, 5 in decreasing order.\nAnswer: 417, 5, 1, -1, -4, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -36. Calculate the remainder when (-22)\/(-3)*30\/4 is divided by ((-15)\/(-3))\/(-3*g\/(-18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/5 (c) -10 (d) -2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.238443 plus -3?\nAnswer: -4.238443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -438069?\nAnswer: 49\/438069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*(-5 - -1). Suppose -s - 50 = 3*t, t + 5*s + 24 = s. Let c be t\/(r\/(-2 - 1)). What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-3*a - 5*a + 0*a)*(4 - 3 - 3)*(2*a - 2 + 2).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*1 + sqrt(77))*2)\/((sqrt(448)*2 - sqrt(7) - sqrt(7)) + sqrt(7)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o = 30. What is the remainder when ((-1)\/2)\/(2\/(-60)) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*g, 6 = 4*m - 5*g - 11*g + 14*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*j + 7823 = 2*b, -3*j - 6259 = -4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87038, 87046, 87066, 87104, 87166, 87258, 87386, 87556?\nAnswer: 87774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*16*250*-25. Round p to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3 + 0 + x - 2. Let v be l(2). Solve v*h - 3*r - 6 - 6 = 0, 13 = 3*h - 2*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5 = 5*l, 0 = 3*g + 6*l + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1647, -2728, -3785, -4806, -5779, -6692, -7533, -8290?\nAnswer: -8951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/((-3)\/((-9)\/3)). Let f be 4\/y + 170\/8. Suppose f*o = 17*o + 64. What is the smallest common multiple of 26 and o?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 6, 6*q - 2*q = 5*u - 6*u - 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -10*p**2 - 22*p - 4. Let t(b) = b**2 + 2. What is -k(z) - 2*t(z)?\nAnswer: 8*z**2 + 22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1289.\nAnswer: -128.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 691 + -301. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/13026420 and 65\/96492?\nAnswer: 13026420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 115 = u - 2*m, -4 = -4*m. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4945120?\nAnswer: 1\/989024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5415 by -19.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/((t*t\/(t*t**(2\/9)))\/t*t))\/t))**(-6\/11))**(2\/39) assuming t is positive.\nAnswer: t**(-64\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6 + 1 + (-1)\/(-4). Let k(p) = p**2 + 6*p - 8. Let j be k(-7). Which is the closest to -1? (a) -0.5 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/7)\/c)**(-37) assuming c is positive.\nAnswer: c**(-333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 9*d = 0. Let f be ((-2 - 0) + d)*-10. Let g be (-5)\/f + (-2)\/(-8). Solve 2*r + g*r + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 divided by -6?\nAnswer: 473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -258 - -261. Solve 2*t = 3*u - 4, -o*u + 7 = -5*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4003649*q**4 - 19022*q**2 + 71 wrt q.\nAnswer: 96087576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 41. Suppose 0 = -b*u + 112 + 336. Calculate the greatest common factor of 77 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35138?\nAnswer: 2, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from wlstllltwslwiitwww.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 317 (b) -0.03 (c) 38\/325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (158\/(-1106))\/(1\/(-4))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182121949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 - -350288.33.\nAnswer: 350151.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n - 200. Give w(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 1212540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 8 = 2*g - 4, 2*z - 3*g = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9616*z - 221218. Determine y(23).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5*a + 55. Determine u(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11*f + 301. Let q be d(-31). Let l be (0 - q\/16)*-18. Is -45 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:39 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**3\/12 + 3*v**2\/8 - v + 8. What is z in c(z) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*k - 165 - 39 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -344976 divided by -6\nAnswer: 57496","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400759*h**2 - 439040 wrt h.\nAnswer: -801518*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3870 and 6364?\nAnswer: 286380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*z - 0*z. Let a(h) = -h**2 + h + 2. Let s be a(0). Let q = -2 - s. Sort 4, z, q.\nAnswer: z, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c5 (base 16) in base 11?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and -0.1.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0 + 0)*(3*v - 28 + 4*v - 9*v)*(-3 + 2*v + 3).\nAnswer: -4*v**3 - 56*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9276, -18353, -27426, -36495?\n\"Answer: 2*y**2 - 9083*y - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/3 + 6392*m**3\/3 + 5016668*m**2\/3 - 30297848*m\/3 + 8424930 = 0. What is m?\nAnswer: -657, 1, 5, 3847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89490\/17 - 5264. Factor 12\/17*j**3 - 2\/17*j**4 - c*j**2 - 48\/17*j - 32\/17.\nAnswer: -2*(j - 4)**2*(j + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 245821 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7376917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/11451 - -7636\/11451. Let r = -0.4 + 1. What is the second biggest value in r, -1\/3, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 8320?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22)\/((sqrt(22)*3)\/sqrt(2)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253199, 1012184, 2277163, 4048142, 6325127, 9108124, 12397139, 16192178?\nAnswer: 20493247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6618022, -6618024, -6618026?\n\"Answer: -2*t - 6618020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*1\/2 - (-2)\/2. Let c be ((-14)\/(-6) + m)\/(4\/24). Suppose 0*o - 894 = -5*o + c*t, -5*t = -2*o + 345. Is o a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4139 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.5ml in litres?\nAnswer: 0.0795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 5*j**2 - 3*j + 14. Let o be n(5). Let u = -463 + 6024\/13. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 29*k**2 - 3*k - 40. Let l(b) = -12*b**2 + b - 1. Give 2*l(r) + w(r).\nAnswer: 5*r**2 - r - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15097)\/974 + -6*(-6)\/(-24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h. Let l(y) = 3*y. Let d(o) = 5*l(o) + 4*m(o). Let b(i) be the third derivative of 0*i + 1\/8*i**4 + 0*i**3 + 2*i**2 + 0. Calculate d(b(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 415 + -330. Suppose -37*r = 26 + x. Put r, 2, -46, -2 in ascending order.\nAnswer: -46, r, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 - (3 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -133?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4780 and 81380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (2\/2)\/(-1). Let i = 0.46 - -0.54. What is the closest to i in -2\/11, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + g + 49 + 54, 5*g = -3*y + 133. Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 10*m - 3. Let i be z(-8). Calculate the highest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 0. Let z(k) = k**2 + 39*k + 176. What is the lowest common multiple of z(-34) and (24\/5)\/(g\/120)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5\/9 + 188*z**4 + 3464*z**3\/9 - 9064*z**2\/3 - 3460*z\/9 + 8500\/3 = 0. Calculate z.\nAnswer: -5, -1, 1, 3, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 3*h + 5*b - 1, 6 = -h + 4*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1846*g**2 - 14*g - 1. Let z(m) = 2*m**2. Give n(z(q)).\nAnswer: -7384*q**4 - 28*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/6 + 106\/53 - -6. What is the second biggest value in -2, q, 46?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**36*u)*u**(2\/23))\/((u*u**17)\/u**(-45)) assuming u is positive.\nAnswer: u**(-2275\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263075979 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2371*d = -422*d - 469*d - 68746 - 126614 for d.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088035 rounded to five decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 17*p + 57*p = 11*p + 13*p + 11*p + 10*p + 62 + 8, -2*p = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74 - -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let h(y) be the first derivative of y**3\/3 - y**2\/2 - 1. Let b(z) = 7*z**2 - 8*z - 2. Let w(u) = -b(u) + 6*h(u). Calculate w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -38. Let x(v) = -v**2 - 9*v. What is the remainder when n is divided by x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3054046.04 to the nearest 10000.\nAnswer: -3050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -3, -1, 69, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102244 - -22042?\nAnswer: 124341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 357920 divided by -71584?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 + -226.66. Let h = q + -0.34. Let z be ((-2)\/(-4))\/(5\/4). Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(147)*-5 - sqrt(147)*2*2) + -3 + -2)**2.\nAnswer: 1134*sqrt(3) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960607?\nAnswer: 73, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 25*w = -3 - 25. Sort 8, 1, w.\nAnswer: w, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0325*19061.\nAnswer: -619.4825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -194876.\nAnswer: -3\/97438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4498 - -4498.05747. Let u = -78.33253 - h. Let x = u + 78. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -434*v**3 + 435*v**3 - 11*v - 21*v - 8 + 7*v**2. Calculate the least common multiple of 44 and n(-10).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = 0. Suppose i = -2*m + 1 + 15. Suppose m = g - 6. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8548621 + -2?\nAnswer: 8548619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 207, 326, -1 in descending order.\nAnswer: 326, 207, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z = -88*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14281\/105 - 136. Let t(j) be the second derivative of -k*j**7 + 1\/50*j**5 + 0 + 1\/30*j**4 + j + 0*j**2 + 0*j**3 - 1\/75*j**6. Factor t(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 40, 67, 110, 175, 268, 395, 562?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 + 12 = 0. Which is the smallest value? (a) h (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -3 (c) -5 (d) 3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*a + 72*a + 72*a - 390*a + 74*a + 81*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 800879, 800934, 800987, 801038?\nAnswer: 801087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -6, 28040, 4, 3 in decreasing order.\nAnswer: 28040, 4, 3, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 419*b + 424*b - 860*b - 1 to k*b + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-10 + 19 + -36 - -19) + 61?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m - 2*m. Suppose f - 2*f + 80 = 0. What is the greatest common factor of f and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/2 - g**3\/6 + 10*g**2. What is the remainder when 45 is divided by v(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4917933ns?\nAnswer: 0.0000004917933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n**2 + 13*n**2 - 3*n + 3*n + 6*n in the form x*n**2 + o*n + i and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4266019?\nAnswer: 149, 28631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 18}. Give prob of sequence iiil.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 24315, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20 + 8)*9\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 314. Let p = 257 + s. Let l = -56 + p. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81, 4, 2\/11, 288, 0.3, -0.4 in descending order.\nAnswer: 288, 4, 0.3, 2\/11, -2\/81, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b - 8. Let v be 77\/55*(5 - 0). Let g be x(v). Let f(c) = -2*c - 2. Let j be f(-3). Calculate the greatest common divisor of g and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b**3 + 2264*b**2 - 3748*b + 1496 = 0 for b.\nAnswer: 2\/3, 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9576367 to the power of 1\/2, to the nearest integer?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqcplqqpcxlxpx. What is prob of picking 2 q and 1 x?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 193 and 530?\nAnswer: 102290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 + -0.77. Which is the nearest to -1\/3? (a) f (b) 1\/5 (c) 5\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggggpcgggggggpgcggg. What is prob of sequence pcpg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -27. Let j be 0\/1 + (-4)\/i. Let d = -0.2 - -0.1. Which is the closest to d? (a) -0.4 (b) -1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + g - 106 = -3*g, -2*g = 8*n + 3*g - 413 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/104*((-64)\/32)\/((-4)\/(-16))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 - (((-27725)\/(-7))\/(-1) - 324\/1134) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o**3 - 6*o**2 + 2*o + 3*o + 51*o**3. Let m be (-3)\/2*(-20)\/6. Let b be c(m). Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 23226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 12865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.612948376 to three decimal places.\nAnswer: -0.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 2326528?\nAnswer: -2326530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122780*t**3 + 96249*t + 2 wrt t.\nAnswer: -736680*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 38 = 5*z + 8, 5 = -z. Suppose 3*i + 3*m - h = 0, 10 + 5 = 5*m. What is the lowest common multiple of (11\/i)\/((-4)\/(-32)) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/2 + 104\/24. Let i = -0.2 - -0.16. Let w = i + -4.96. Which is the second smallest value? (a) u (b) w (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3187 - 16307 = u, 5*d - 5*u = -21900. Does 39 divide ((-4)\/(-14))\/((-25)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95*8292409\nAnswer: -787778855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15\/7, 0.5, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86.27 + 90.17. What is the nearest to -0.9 in -3, 2, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 + 510*x**3 - 486*x**3 + 155*x**2.\nAnswer: 24*x**3 + 117*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-378))\/((-64)\/1120)*4\/(-280)*-4?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 235702 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/13 + 30*p\/13 + 88\/13 = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7\/(-9)) + (-4)\/14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.5 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 357, -0.5, -1\/90?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*t + 61*t = -9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (26\/13)\/(2\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101171 and 184611?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576356 is divided by 805.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -5*d + 18. Let x(r) = 3*r + 3. Give x(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/16 + 1 - -4. Let y = -5526 - -5526.2. Which is the closest to m? (a) 1 (b) y (c) -2.8 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(208)*2*6 + (1*(sqrt(104) + sqrt(104) + sqrt(104)*1 + sqrt(104) - sqrt(104)))\/(-1*sqrt(128))).\nAnswer: 189*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11194908 to the power of 1\/2, to the nearest integer?\nAnswer: 3346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2 + 2. Factor -7*i**c + 0*i**4 + 3*i**4 + 4*i**2.\nAnswer: 3*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -751*j**9\/252 + 62*j**5\/5 - j**4\/12 - 463*j**2. Find the third derivative of s(x) wrt x.\nAnswer: -180240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 10. Calculate k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 3*w**2)*(-w - 1 + 1) + (4*w - w - w)*(2*w**2 - 2*w + 2*w) + w**3 - 5*w**3 + 6*w**3 + 3*w**3 - 4*w**3 + 2*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1080\/(-131760))\/((-3)\/(3*2))\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -3*d**6\/10 - 2*d**5\/15 - 11*d**4\/24 - d**3\/3 + d**2 - 8. Let v be h(-2). Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7819187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/12 + (-187)\/(-6) + -31. Sort -2, v, 0, -33, 2.\nAnswer: -33, -2, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7*k + 2*t - 8, -5*t - 3 = k. Find s, given that 0*s + 0 - 1\/4*s**k + 1\/2*s**3 - 1\/4*s**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*o + 6. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 19. Suppose 0 = y*p + 2 - 32. Let i be 7 - 4*(1 - 0). Solve 0*a = -i*a - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 2349.\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2815.156 to 0 dps.\nAnswer: 2815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4450 + -88. Let t = 11251 - k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 + i**4)*(2 - 3 - 1)*(5*i - 3 + 3).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1698312 and 161744.\nAnswer: 3396624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952451.\nAnswer: 19, 50129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229046740*x**3 - 543164012 wrt x.\nAnswer: 687140220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12070 = 5*p, -3*p - 5*k + 9980 - 2722 = 0. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/30 + m**3\/3 + 148*m**2 - 34. Calculate q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 22 = -5*k + 2, 0 = 3*k - t + 23. Which is the nearest to 0? (a) 0 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.299 and -0.04.\nAnswer: 0.05196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377 and 2483?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 + 5)*2)\/14. Is 0.4 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m + 6. Let i(r) = -14*r - 9. Suppose 30 = -2*c - 4*x, 9*x = 3*c + 11*x + 25. Let a(j) = c*i(j) - 8*p(j). Calculate a(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 321)*(-2)\/(1 + 1). Let s(z) = z**2 + 6*z + 4. Calculate the common denominator of -4 + (2\/8 - u\/20) and s(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s + (-s - 1 + 1)*(-2 + 1 - 1) + 0*s + 0*s + 2*s)*((-1 + 0 - 1)*(0*s - s + 0*s) + 0*s + 19*s - 2*s).\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8329 and 0.054.\nAnswer: -8328.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v + 8. Suppose 6*p = 3*p - 12. Put 5, v, p in descending order.\nAnswer: 5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -68, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187075909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from mumwwmwmuowum?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696557 and 12489429?\nAnswer: 537045447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/6 - 6*s**2 + 239*s\/6 - 70.\nAnswer: (s - 28)*(s - 5)*(s - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 420 - 417. Suppose 79*f - 102 = 75*f - 5*w, -p*w + 6 = 0. What is the remainder when f is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxeq when four letters picked without replacement from qxxxxxqqqe.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:43 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646009*u**2 + 3*u - 3*u - 646012*u**2 - 622.\nAnswer: -3*u**2 - 622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 6*q + 14 = 4*n, -5*q = 5*n + 20. Let i = n + -35. Suppose 2*l = -0*l. Put l, 5, i in ascending order.\nAnswer: i, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**5\/60 - c**4\/24 - 7*c**3\/3 + 27*c**2\/2 - 15. Let z(m) be the second derivative of a(m). Give z(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 148 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5220876 is divided by 2943?\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j**9*j)\/j*j)*j*j**(-18)*j*j*j*(j\/j**(-17)*j)\/(j*j**9*j) assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2100961 and 70599?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 25*f - 3. What is m(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 649 - -3500. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x - 7. Let m be u(-5). Let d be (1\/m)\/(4\/16). What is the common denominator of -25\/11 and (77\/88)\/(d\/(-72))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*r - 5588 + 31*r + 5588 + 33*r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 130f2 (base 16) to base 12\nAnswer: 39216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:41 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)*g*g)\/g**(-6))**(-2\/11) assuming g is positive.\nAnswer: g**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -13 + 4 - -14 - 31\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (504\/(-18) + 13 + -1 + 14)*(-99)\/(-6)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5171987, -10344039, -15516091?\nAnswer: -20688143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 294607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - a?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5456, -5464, -5472, -5480, -5488?\nAnswer: -5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/20)\/(1\/32). Let t be ((-30)\/24)\/((-4)\/j). Sort t, 3, -6 in decreasing order.\nAnswer: 3, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w - 5*p = -35, -4*w - 3*p = -24. Suppose 8*y = -w*n + 3*y - 11, -3*n + 4*y + 25 = 0. Sort n, -1, 5 in descending order.\nAnswer: 5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 5}. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641452 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 - 3 = 2*l, 5*y + 5*l - 20 = 0. Let t(x) = -x + 6 - x**2 - 4 + y. Determine t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 186 = 176 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - k - k + 6*k**2 - 2 + 4*k. Let d be g(2). Suppose -4*m = 4*j - d, -2*j + 7*m + 19 = 2*m. What is the smallest common multiple of j and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/46 + 55\/138. Let t(q) = -q - 10. Let x be t(-9). Which is the nearest to 0? (a) -0.5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2. Let f(d) = -2*d**2 + d - 7. Let j = 61 - 68. Calculate j*b(r) - 2*f(r).\nAnswer: -3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-12))\/(-9)*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Suppose -6*r = -j*r + 5. Do -4 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1 - (-9)\/11). Let s = d + 15. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40389*r - 40397*r = 4*m - 20, 2*r - 10 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*d + 1898 = -3*d + 63*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920441.4 days to microseconds.\nAnswer: 79526136960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185 + 2*o**2 - 18*o + o + 15*o to y + u*o + t*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*h**3 + 0*h**2 + 214*h**3 + 0*h**2 - 114*h**3 + 1281)*(2 - 27 + 2).\nAnswer: 46*h**3 - 29463","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16673, 0, 14981 in decreasing order.\nAnswer: 14981, 0, -16673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.026 (b) -3 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3035\/154 + -216\/11. Which is the third smallest value? (a) -4 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9148660 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*p + 0 + 1\/2*p**2.\nAnswer: p*(p - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*(1 - -9). Let m be (114\/18 - 7) + 365\/3. Let c = -120 + m. Solve -s - i = -0 + c, 5*s - 5*i = -k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 102. Put 2\/7, 0.4, -1, m in ascending order.\nAnswer: m, -1, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 119*w + 1087. Give k(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10108\/113 at most as big as -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 81202219?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6535 - 8.3515378?\nAnswer: 6526.6484622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 21*j**2 + 20*j + 27. Let v be p(-20). Calculate the highest common divisor of v and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*sqrt(1377) - (-2 + -2 + sqrt(1377))) + (0 + sqrt(1377) + -5 + 4*(sqrt(1377) + 0))**2 + -3)*6.\nAnswer: -3564*sqrt(17) + 206706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93081365?\nAnswer: 5, 13, 1432021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24991400.8 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 8}. Give prob of sequence xxkx.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160796298.\nAnswer: 2, 19, 30547271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 2508*p**3 + 365472*p**2 - 8817984*p.\nAnswer: 4*p*(p - 21)*(p + 324)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2798*y. Let q(o) = -186*o. What is s(q(t))?\nAnswer: 520428*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -43546 (base 9) to base 16\nAnswer: -70ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9240 and 3500?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**8*k)**10*(k*k**(-8\/3)\/k*k)\/(k*k**(-3\/8)) assuming k is positive.\nAnswer: k**(-1495\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-120))\/(5\/(135\/6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79522, -79498, -79474?\n\"Answer: 24*x - 79546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 30 = 6*f. Suppose k = f*k - 10. Suppose 46 = 5*u - 3*j, -k*u + 4*u - 10 = 4*j. What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 83720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13366?\nAnswer: 2, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 9*k = 15. Does 14 divide (-2 - (-42)\/k)*(-105)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48302470.\nAnswer: 2, 5, 4830247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 - 48768*y - 928036 = 0.\nAnswer: -19, 12211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c. Let f(z) = 12*z + 2. Determine f(u(b)).\nAnswer: -72*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -28 + 31 + -35\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7\/((-15)\/16 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1645 divided by 1\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -20. Suppose -w*j = -29*j - 7. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3720 and 1209?\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/5 + 296*d**3\/5 - 6321*d**2\/5 - 106956*d\/5 - 70308 = 0. What is d?\nAnswer: -315, -6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224293*z = -5*c + 224296*z - 26, z - 19 = 12*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 9. Calculate the remainder when b(5) is divided by (-46)\/(-3) - 2\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-42)*7854\/2805)\/(44\/18)\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 3603*l**2 - 736*l**2 - 1436*l**2 - 1431*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, 15, 34118 in decreasing order.\nAnswer: 34118, 15, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaoxxi. What is prob of sequence xoa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82250 and 16450?\nAnswer: 82250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3290 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 + 5*p**3 + 5*p**3)*(-20 - 2 + 5)*(-3*p - 2*p + 7*p + 9) to the form f*p + k*p**3 + d*p**4 + s*p**2 + q and give k.\nAnswer: -1683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 461 = -n - u, -2*u = 4*n + 1636. Let j = -620 - n. Let l = -127 - j. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71, -276, -617, -1094?\n\"Answer: -68*l**2 - l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63781*m = 63783*m - k + 46, -m - 23 = -5*k for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39996, 39620, 38568, 36492, 33044?\nAnswer: 27876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18247 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/3)*y*y*(y\/y**(-2\/3))\/y)\/((y\/(y**10*y*y))\/(y\/((y**(-2\/13)*y)\/y)*y)) assuming y is positive.\nAnswer: y**(721\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1398 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -495, -726, -945?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l + 369. Calculate the common denominator of d(-26) and 1\/(-1)*(-49)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*l + 22*l + 199*l + 75088 = 512*l for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2) + 15\/5. Suppose m*i = -i + 16. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1410a2a (base 14) to base 3\nAnswer: 200021220001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-22) - ((-4492)\/(-44) - -2). Let v = 59 + -217. Let n = m - v. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0082 times 15\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 2*u. Let q = 0 - u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bb3c (base 16) to base 7.\nAnswer: 2035642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 = 117. Suppose -4 = 4*u + 3*w + 3, 5*w + i = 2*u. Suppose u - 8 = -h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*v + 1676, -4*v = 28 - 8. Let h = s + -245. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - c - 8. Determine x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228122 - 614058 - 137*o**2 - 614064.\nAnswer: -137*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -29. Suppose 294 = y*n - 8*n. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 1:59 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24289, 24304, 24325, 24352, 24385, 24424?\nAnswer: 24469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4170 is divided by 467.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otqq when four letters picked without replacement from {y: 1, q: 5, o: 1, t: 1, n: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -6*d + 59 + 20 + 74, -5*d + 121 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 33 - 6*m - 8 as f*m + t and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 70*d**2 + 2*d - 67. Let j be l(35). Solve -7 = -10*a + j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**4 + 4\/3*t**3 + 2 - 8\/3*t**2 - 4\/3*t.\nAnswer: 2*(t - 1)**2*(t + 1)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2805 + 2785 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 69. Suppose -5*w + 5*r = 75, -p = -2*w + 3*w + 3*r. Let h be w\/8*12\/(-15). Solve -h = -4*m - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (2 - 2) - (-7 - (-15 - -15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4488)\/(-440)*(-21 - -26).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 110*n - 21. Let j be m(-4). Let d = 752 + j. Suppose d + 145 = 4*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + -343?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -12 - -21 - ((0 + 8 - 11) + -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9471 - -15807. Suppose m = -1381 + l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 13*c**2 - 13*c - 105. What is a(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 4*l - 5. Suppose 2*y = -4*q - y + 20, 0 = -5*q + 2*y + 25. Suppose 2*d - 3 = 4*k - q, 5*k = 3*d + 4. Are d and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:16 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 124 = 181. Let p = -169 + g. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**3 + 32*i**2 + 17*i - 3. Let w(u) = 2*u**3 + 11*u**2 + 6*u - 1. Give -6*f(l) + 17*w(l).\nAnswer: -2*l**3 - 5*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 70*d - 213. Calculate w(-32).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 615.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 667 in ascending order.\nAnswer: -8, 4, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*p**2 - 3 - 154*p**3 + 34*p**3 - 93*p**2 + 2 wrt p.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from jnjztoqn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 - -215. Let k be (7\/(-2))\/((-12)\/t). Let g = 26 - k. Is g < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -10. Let w = 10 - u. Let t = w - -5. What is the third biggest value in -0.4, t, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19327661833 from 11.\nAnswer: -19327661822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899711 is divided by 1214.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -143069.38 rounded to the nearest one thousand?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34659264 divided by 7444?\nAnswer: 4656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/12 and 56\/31598445.\nAnswer: 126393780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 37. Let w(p) = -p**3 + 6. Let x(m) = -6*h(m) + 39*w(m). Differentiate x(o) with respect to o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.755 - -0.042.\nAnswer: -18.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(176) - sqrt(176))\/sqrt(4) - sqrt(44))\/sqrt(4) - (0 + sqrt(99) + -4).\nAnswer: -4*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-392) + 1\/(-2))\/((-579)\/20265)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-33)\/(-77)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.59 and -214831.\nAnswer: -341581.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212 * -2.2.\nAnswer: 466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - 45) + -33 + -6 + (55 - -4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 + a. Let h(g) = -g**3 + 22*g**2 + 16*g - 24. Let x(w) = h(w) + 2*y(w). Let u be x(-19). Sort -7, u, 5 in ascending order.\nAnswer: -7, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 30858*m**2 - 154472*m + 2037288.\nAnswer: 2*(m - 15434)*(m - 6)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-26))\/(2*21\/(-56)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 5. Let s(m) = m - 2. Let o(c) = -2*b(c) + 5*s(c). Let d(t) be the second derivative of t**4\/3 + 5*t. What is d(o(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315.38 + 318. Let f = 2.4 - r. Let y = 2.22 + f. Which is the third smallest value? (a) 1 (b) y (c) 1\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 61, 127, 199, 277, 361?\n\"Answer: 3*c**2 + 57*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31301878637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/6 - 52*n**2 + n. Let m(q) = -q**2 + 15. Determine u(m(k)).\nAnswer: -4*k**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**6\/3 - f**5\/3 + 49*f**4\/4 - 238*f**3\/9 - 2*f**2 + 24*f - 1957. Suppose y(i) = 0. Calculate i.\nAnswer: -6, -1\/2, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 20. Let y = 8 - w. Let p(a) = 2*a**2 + 1. Let v(j) = -3*j**2 + 4*j. Let r(q) = -2*p(q) - v(q). What is r(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/966 and 11\/224595.\nAnswer: 449190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -2179, -1, -12.\nAnswer: -2179, -12, -2, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3098 rounded to two dps?\nAnswer: -3.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7725, 18558, 36627, 61944, 94521?\n\"Answer: 2*i**3 + 3606*i**2 + i + 4116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 divided by 2?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 398*v**2 - v. Is l(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 >= -168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*a + 5 + 1, -20 = 2*i - 2*a for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(125) + -1 + sqrt(125) + -1*(sqrt(125) + -1) + 4)**2.\nAnswer: -40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38790, -77587, -116382, -155175, -193966, -232755?\nAnswer: -271542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/10 and 67\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -30043?\nAnswer: -30040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030 a factor of 67079320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910082 <= 1910091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 7, s: 6}. What is prob of sequence rrii?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 + 27 = 0. Suppose -65*p + g = -64*p. Suppose m + 3*m = -p, 3*o - 74 = -4*m. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 21201102211?\nAnswer: 21201102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-8) - -2)\/(-3 - (-16)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 19 = -3. Suppose z - 1 = 3*b + 5*a, 36 = 4*b - 4*a. Suppose -5 = g, 2*y + g + 1 + 2 = 0. Solve -b*h + 3*h = -15, -h = -3*p + y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3 + 0 - (-22)\/22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62723 + -116523. What is z rounded to the nearest one thousand?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 7. Calculate d(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-10))\/(5\/30). What is the second derivative of 13*x**3 - 29*x**t - 10*x - 12*x**3 wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9731\/1520 - -3\/1520. Calculate the common denominator of -5\/9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -7) + -1 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1834514 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24430131 (base 5) to base 10.\nAnswer: -233166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3249 = 151*x - 2335 - 2946 - 4914 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51698 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(1539)*2 + -2)*-1 + -1 + -1.\nAnswer: -18*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 35142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, -0.021, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.43 - -0.43. Which is smaller: o or -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 78*w - 439. Determine c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 5*l**2 + 7*l + 5. Let i(s) = -s**2 - 6*s - 11. Let w be i(-7). Let q = 19 + w. What is the least common multiple of q and d(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 8*g + 7. Let m be w(-6). Let l = 5 + m. Suppose -t - 2 + 8 = l. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/24*z**4 - 2*z**2 + 0 - 1\/60*z**5 + 0*z - 1\/2*z**3. Calculate a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045508.\nAnswer: 2, 29, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5494 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 121, 182, 243?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-45)*-3 - 19\/95. Suppose 5*r - 3*d - 207 - 132 = g, 3*d - 255 = -4*r. Is r a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-6)*-4)\/(160\/30). Which is the second biggest value? (a) 4 (b) -1\/9 (c) j (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 + -0.19. Let i = 0.34 + h. Is i at most 16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 380*p**2. Let k(m) = -34*m**2 + 4*m + 30*m**2 - 2*m**2 - 4*m. What is k(h(r))?\nAnswer: -866400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11595 plus 113.643398?\nAnswer: 113.759348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20*(6\/(-15))\/(-1). Let w(g) = -2*g + 8. Give w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.3. Let p be (-232)\/(-224) - 237\/316. Which is the nearest to p? (a) -1\/13 (b) j (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 269 - 11 - (0 + 2). Calculate the greatest common factor of p and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3*u**2 + 6.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 25 = 81. Let u = 13 - o. Let x = 0.3 - 0.1. What is the second smallest value in u, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123.08 - -143.0714. Let z = 20 - h. Round z to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1055?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p + 413 + 79 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0268512551 to four dps.\nAnswer: -1.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2238, 9810, 22426, 40086, 62790?\nAnswer: 90538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9104796 and 4046576?\nAnswer: 36419184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 18 = 15. Let z(w) = w**2 + 11*w + 14. Let s(k) = 3*k**2 + 32*k + 42. Let j(g) = 2*s(g) - 7*z(g). What is the units digit of j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, 4\/13 in decreasing order.\nAnswer: 4\/13, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45246*v**2 + 90409*v**2 - 45160*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 143b (base 12) to base 7\nAnswer: 6566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7302, -14607, -21912, -29217, -36522, -43827?\n\"Answer: -7305*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**1)\/t)**49)**35*(t\/t**(1\/4)*t\/(t*t**(1\/3)))\/(t\/(t*t**0)*t**(-1\/15)) assuming t is positive.\nAnswer: t**(-102871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5714 divide 1950685318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6002 (base 16) to base 6.\nAnswer: 305442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*f - 4, -3*k - 4*f = f + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7))**(-28\/5) assuming j is positive.\nAnswer: j**(196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 92. Let z be m(9). Suppose 0 = z*g - 4*g + 6, -o + 5*g - 11 = 0. Solve 0 = -p - 7 + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 times 0.022\nAnswer: -1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17544\/139 greater than -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 133*u**2 - 37*u - 3. Let c(d) = 66*d**2 - 16*d - 1. Determine 7*c(b) - 3*k(b).\nAnswer: 63*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2574 by -6.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.285568 + -0.2518. Let m = x + -0.0344. Round m to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-16)\/2*(-3)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/15 (c) -3 (d) -39 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 10:44 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6844 is divided by 153.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 4*f + 4. Suppose -5*g + 0*g = -20. Give n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1) + (-1694)\/110 + 15. Which is the nearest to -1\/5? (a) 13 (b) -5 (c) -6\/11 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 195\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*l + 44 = 1177 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1144916 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 17*r**2 - 20*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4171 is divided by 520.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrf when four letters picked without replacement from {r: 5, f: 5, m: 2}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + 29*s + 208. Does 19 divide a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41.74226 and -0.5?\nAnswer: 42.24226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 2 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r - 8*r + 2 - 2*r**2 + 22*r - 7*r in the form w + y*r + j*r**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -598, -934?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3449 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = 3*c - 5*c, 0 = -5*s + 2*c + 21. Suppose 3*y = -3*l + 222, 2*l - 3 = s*l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((128\/(-12))\/(14\/(-21)))\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 6 = 0. Let m(s) = -10 + 3*s**3 - 4*s**2 - 2*s**c + 3*s - 4*s**3. Is 9 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4 + f**3 - f**3 + f**3 + f + 0*f**2 - f**2. Let i be g(0). Suppose i*v = 150 + 10. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/297 and -17\/150.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 4*k + 5*k**3 - 3*k**4 - 4 - k**2 + 5*k + 15 - 7*k**3 to v*k**3 + w*k + t*k**4 + x + s*k**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583 - 294 - 289 - 19*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*(-510)\/267444*6\/(-10)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, 50, 3\/7, 0.01, -1\/3, 0.21?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2\/17 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 7\/60*d**5 + 0*d - 5\/8*d**4 + 2*d**3 + 0 + 23*d**2. Let l be t(-12). What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 + 142. Sort -29, b, 3 in descending order.\nAnswer: 3, b, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76656 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (795\/(-120) + -23)) + 1059\/264?\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 32, -31, 468 in descending order.\nAnswer: 468, 32, 2\/7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 49, 67, 89, 115, 145?\n\"Answer: 2*k**2 + 8*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 + 3706 = 329*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-4)))\/p)\/(p\/p**12) assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 14*v**2 - v**3 - 5*v**2 - 8*v**2 in the form p*v + i*v**2 + n*v**3 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let g(x) = -1497*x. Give g(a(w)).\nAnswer: -2994*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-30)*(-69)\/92*(670\/(-135) - -5)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -507693*10\nAnswer: -5076930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8900 - -8906. Let b(l) = -11*l - 4. Let g(t) = -22*t - 7. Calculate f*g(v) - 11*b(v).\nAnswer: -11*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*w + 41 + 87, 5*w = 2*o + 160. What is the common denominator of -77\/26 and 212\/w*(-1)\/(-2)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 - 451 = -21*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let f = -166 - -236. Let m = f - 69.5. What is the nearest to 0 in -0.4, y, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93488479 to the power of 1\/2, to the nearest integer?\nAnswer: 9669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + 55\/22. Suppose -j*c - 33 - 52 = -5*m, 5*m = -3*c + 55. Let k(n) = 5*n + 40. Calculate the remainder when k(0) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*(-1)\/(8\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788\/10 - (-3 - (-84)\/30) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10458548489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 - 8*m + 13. Calculate the smallest common multiple of z(7) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154207.\nAnswer: 17, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 10, 0, -24\/13, -1\/4, -0.03, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 617, 930, 1255, 1598, 1965?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13012*m**3 - m**2 - 13109*m.\nAnswer: -78072*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*s + s**3 + 2*s**4 + 1 + 11*s**2 - 86*s + 39*s as t*s**2 + k*s**4 + p*s**3 + i + c*s and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 10668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q. Let i be p(2). Suppose -16*t + 15*t - 2 = 0, -c + 9 = -2*t. Solve i = -k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828837.\nAnswer: 3, 19, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -8) + -6 + 43.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-7) + 3 - 4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -14144304322?\nAnswer: 14144304343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 346 + -345. Let z(a) = -3*a - 4. Let y(q) = q + 6. Let b(i) = n*z(i) + y(i). Calculate b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*p**2 + 241*p**2 - 44*p + 44*p - 106*p**2.\nAnswer: 469*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*h + 22*h**2 - 397*h + 205*h + 2 in the form u + d*h + k*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.08 - -36.92. Let x = s + -70.5. What is x rounded to zero dps?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25930?\nAnswer: 2, 5, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -201*x. Let r(o) = -615*o**2 + 1286*o**2 - 669*o**2. What is u(r(c))?\nAnswer: -402*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6e (base 16) in base 2?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -2 + (31 + -1 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 285865, -2\/9, 4, -0.2?\nAnswer: 285865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -299*q**3 + 6*q**2 + 7*q + 5. Calculate the remainder when 3030 is divided by i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -152 in -3\/5, -0.3, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f. Let m be r(1). What is the first derivative of -w + m*w - 4 + w + 0 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1374576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5463327 and 2397.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -173016.79.\nAnswer: -173011.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + -1323?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((360\/10)\/4 + (-128)\/14). Let z = -1 - -0.5. Let o be 5*1*(-3 + 2). Which is the closest to w? (a) o (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/14 - 218\/(-14). Let w = -14 + 8. Let l be v + (-4 - w\/2). Calculate the highest common divisor of l and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2225024 by 64.\nAnswer: -34766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -27. Let x(l) = l + 22. Let d(t) = -t**2 - 19*t - 22. Let w be d(-17). Let s be x(w). Solve 3*j - r = 5*g, -5*g + 6 = j + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**9\/25200 + h**8\/5600 - h**7\/4200 + 5*h**4\/12 + 8*h. Let m(a) be the third derivative of q(a). Let m(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730193991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*36\/496)\/(104895\/9324).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 678, -2, 10 in increasing order.\nAnswer: -2, 0, 2, 10, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133111 = -21*n + 133615 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 898 in 3, 1, 79, 1\/3?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1)\/sqrt(2))\/(sqrt(60)\/sqrt(160)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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 2*c = -112 + 40. Let j = c + 53. Find the third derivative of -2*g**3 + j*g**2 - 11*g**2 + 12*g**3 wrt g.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -62, 0, 338, -1 in descending order.\nAnswer: 338, 0, -1, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3 - -3) + -19 + 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 109. Let b = d - 130. Let o = 14 - 20. Sort b, o, -0.4 in descending order.\nAnswer: b, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5)*(-550)\/88. Solve 9*a - u*a = 5*f - 6, 0 = a - 3*f + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 103296608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 7. What is the least common multiple of h and 18\/((-6)\/(-3)) - 2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:21 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/24 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45188382 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*3)\/sqrt(9).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 40 = -0*v - 5*v, 0 = -4*v + 8. Solve -j + 35 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0134944 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 0*h**2 - 2 + 5*h - 5\/3*h**3. Differentiate v(z) wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19295485023 and -269.9.\nAnswer: -19295485292.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23370311 from -3.\nAnswer: 23370308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6064*c - 6009*c - 1210 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (460\/(-16))\/((-365)\/(-1752)). Sort -5, 5, -3, c in decreasing order.\nAnswer: 5, -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 617015712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2470 < -167903\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122000 (base 3) in base 13?\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a + 2*l = 11, 9 = 5*a + l. Suppose -11 = -5*w - a. Suppose 4*g = w*p + p + 29, -3*g + p = -18. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b - 27*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 198224.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*g**4 + 11*g**4 + 2*g**2 - 143 + 0*g**3 + g**3 + 20*g**4 + 0*g**3 to s + r*g + v*g**4 + f*g**3 + i*g**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1038 and 125\/2076.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 18*f + 28. Let w be k(15). Let o = 6 - w. Let a = -219 - -309. Calculate the remainder when a is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + k + 94 - 94 - k**2. Let n(b) be the third derivative of -b**5\/15 + b**4\/12 + b**3\/3 + 8*b**2. What is n(m) - 2*s(m)?\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13468)\/(-1295) + (-8)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 2. Let r be y(-8). Suppose 0 = 2*n - r*n + 16. Let j(z) = -z**2 - 6*z + 4. Let h be j(-6). Solve h + 16 = n*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50363 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m*m**(5\/2)))\/m)*(m\/(m\/(m**(19\/5)\/m)))\/m)\/(m**(2\/41)\/(m\/m**(-2\/39))) assuming m is positive.\nAnswer: m**(116767\/15990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1197 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:37 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 88.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 60 = -4*n. Let f = n - -26. Solve -2*w + 8 = 3*h - f, -4*h = -5*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + t = 23, 114*t - 220*t + 112*t + 54 = -2*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2885\/3 - -939. Let h = 137\/6 + r. Let n = -0.2 + 5.2. Which is the third smallest value? (a) n (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in -14, -3, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + 3.7. Which is the nearest to -0.2? (a) -2\/15 (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4009855670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8194*h + 5888. Let g(q) = 16392*q - 11767. Let a(j) = -3*g(j) - 7*x(j). What is the derivative of a(o) wrt o?\nAnswer: 8182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 + 604*q**2\/3 + 115328*q\/3 - 35808256\/3.\nAnswer: -2*(q - 272)**2*(q + 242)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 8*h - 5. Let o(c) = c**2. Let l(p) = -2*o(p) - z(p). Suppose 3*r = 23 + 91. Suppose r = -d + 45. Calculate l(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -3*x**3 - 2. Let h(q) = 2*q - 2*q + 0*q - 2*q. Let u(o) = o. Let l(p) = -5*h(p) - 7*u(p). Determine l(d(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzyzzpupuuuyupuzz. Give prob of picking 1 u and 1 z.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z - 5. Let n(m) = -2*m**2 + 4*m + 3. Suppose -6*v = -v - 15. Let t be n(v). What is the remainder when 77 is divided by r(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 82 = -5*d, 3*d - 5*j - 12 = 22. Let k = -47 + 255. What is the remainder when 3\/((-4)\/(k\/(-3))) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*x - 98530000 = 0, -c - x = -17041105 - 2664895. Round c to the nearest 100000.\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d = 17*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 3*z - 1. Let a(g) be the first derivative of g**4\/4 - 5*g**3\/3 + 5*g**2 - 30*g - 5. Let p be a(4). Give x(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/24976 - 836709\/324688. What is the common denominator of (-1 - 1) + (-165)\/40 and s?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + -9.14. Let x = n + 8. Let h = -1.5000031 - x. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, k: 3}. Give prob of picking 2 k and 1 g.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 12909?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) -40 (b) 2 (c) 4 (d) -0.184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 178*v - 6161. Give u(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 4.11. Let z be -3*(-2)\/3 - 1. What is the biggest value in a, 0, z, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -444 - -174. Let a = 287 + -558. Does c = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 497*z - 9523. What is d(20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 32*z + 398 = 33*z, 3*j - 587 = z. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -448*a**3*w**2 - 19*a**3 + a**2*w**3 - 5*a**2 with respect to w.\nAnswer: -896*a**3*w + 3*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4250 - 4249. Sort y, -4, -1, 1927.\nAnswer: -4, -1, y, 1927","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(2*z**4 - z**4 + z**4) - 9*z**4 + 54*z**4 + 15*z**4 to c*z**2 + f + w*z**3 + l*z + m*z**4 and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -8 - 2. Let n = w - 2. Determine z, given that z - 4*z**2 + 2 + z - 2*z**n + 2*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1601142 and 0.2.\nAnswer: -1601141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -103*g**3 + 104*g**3 - 3*g**2 - 3 + 0*g - g. Suppose -6 = 2*c + c. Let b be c\/((-10)\/6 - -1). What is x(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33239 * 63.\nAnswer: 2094057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 78429*s**3 - 78476*s**3 + 156904*s**3 + 1 + 1.\nAnswer: -s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3124052 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -19569*b**2 - 4*b - 1. Let o be i(7). Let w = 628910 + o. What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228031914 is divided by 422.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 555352 + -4?\nAnswer: 555344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 172, 384, 618, 874?\n\"Answer: 11*p**2 + 179*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 6*d - 3. Let t be j(5). Find g such that g - 10*g**2 - 7*g + t + 6*g**3 + 0 + 10*g**4 - 2*g**4 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (104\/6)\/((-3)\/(-36)). Let b = x - 133. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:03 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(4\/9)\/b*b*b**(-2\/11))**(3\/22)\/(b**(-3\/10)\/b*b\/b**3*b*(b**(-2)\/b)\/b*b\/(b\/b**(1\/2)*b)*b) assuming b is positive.\nAnswer: b**(22669\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)\/(1\/2). Let n(b) = -9*b**2 - 361*b**3 + 2*b**2 - 4*b + b**2 + 728*b**3 - 369*b**3. Does 16 divide n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 14.6. Let l = 3.9 + k. Which is the nearest to 1\/3? (a) l (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 13. Determine g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28322*b**2 - 28355*b**2 - 1573 + 1573.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2745 = 5*o - 30245. What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84635295 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: Suppose -1087 = -87*p + 5177. What is the remainder when 2087 is divided by p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 209*y**2. Let k(l) = -14*l + 9*l - 8*l + 16*l. What is k(v(s))?\nAnswer: 627*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6776 and -0.5?\nAnswer: 0.3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 583?\nAnswer: 7\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.272609 millilitres in litres?\nAnswer: 0.003272609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/8 - 49*m**3\/4 - 282*m**2 + 3969*m\/4 + 189297\/8 = 0.\nAnswer: -57, -41, -9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14154538?\nAnswer: 2, 31, 228299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 0*v - 67*v**2 + 2*v + 2409*v**2 as h + o*v + r*v**2 and give r.\nAnswer: 2342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 - -167. Suppose -5*n + 335 = l*u, -4*n + 5*u - u = -244. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973, 3888, 5803?\nAnswer: 7718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265912562 to the nearest integer?\nAnswer: 16307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3986.211114 + 3986.3. What is n rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-180))\/((-32)\/(-2360)) - (-2)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = 3*f + 1, 3*p + 15 = -5*f. Let b(u) = 2*u + 12 - u + 6 + f*u. Let v be b(-8). Solve -l + v = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-42 + (-14 + 23 - -24))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-8)\/(-64)). Differentiate 7*m**j + 2 - m**4 - 2 - 6 with respect to m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2768474.12669 - -2768486. Let z = y + 0.12449. Let f = -12 + z. Round f to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -37. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1977641045376 - 11.\nAnswer: 1977641045365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3827490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 5*q. Let x(h) = 5*h**2 + 6*h. Let c(d) = -6*g(d) + 5*x(d). Let v(f) be the third derivative of -5*f**4\/6 - 2*f**2. Give v(c(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*b*l - 2*b - 105*l wrt b?\nAnswer: -77*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/((12\/1)\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2774 - -4824. Is x a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*a + 18, -5*h - 23*a = -30*a + 36 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Solve b*d - 6*d + 6 = 0, 11 = -y + 3*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkrkkkkbkbvkb. What is prob of sequence kbr?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 6 (b) -163 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6347 divided by -5?\nAnswer: 6347\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/2 + 0. Let m = -43 + 33. Let x = m + 12. Which is the closest to x? (a) 0.4 (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15732*y**2*z**3 + 1805*y**2*z + 248*y*z**3 + 2*y - 229*z wrt z.\nAnswer: -94392*y**2*z + 1488*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:54 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -2*v**7\/105 - 25*v**3\/6 - 27*v**2\/2 - 25*v. Let x(t) be the first derivative of i(t). What is the derivative of x(c) wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 - 60\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3035 and 26788731?\nAnswer: 133943655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:05 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15205 and 50.\nAnswer: 152050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7586 + -2314.4\nAnswer: 5271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 - -104. Let s = 145 + a. Let v = s - 28.91. Round v to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -2\/13, -1\/7.\nAnswer: -120, -2\/13, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4990 and 17414102?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919314.\nAnswer: 2, 3, 7, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 45, 33, 13, -15, -51?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4615 + 4631. Solve -2*q + 19*t = z*t - 2, -3*q - 2*t = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**23*((h**(-1\/5)\/h)\/h)\/h)**(-24) assuming h is positive.\nAnswer: h**(-2496\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33097 + 2 + 9 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - r - 15 = 0, 18*k + 2*r = 13*k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + 1*sqrt(27).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 8*q - 99. Calculate the remainder when 17 is divided by x(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062830.\nAnswer: 2, 3, 5, 7, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18832 and -63\/3424?\nAnswer: 37664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066.2 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/588 and -61\/24.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**2. Let o(h) = 4*h. Let c(v) = 5*v. Let j(b) = 3*c(b) - 4*o(b). Calculate u(j(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127200 and 6275200?\nAnswer: 18825600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u**2 + 0*u - 3\/7*u**3 + 6\/7*u**4 - 3\/7*u**5.\nAnswer: -3*u**3*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72443 and 11?\nAnswer: 796873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*y + 1 - 6)*(y**3 - 4*y**3 + 2*y**3).\nAnswer: -5*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 87*n**2 + 11*n - 442. What is w(-28)?\nAnswer: -3102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -15*s - 94. Give m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (((8 - 2) + -5 - -9) + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 31 - 6. Solve -z*a - 4 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 367 + 513. Suppose -17*n - a = -37*n. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66618.9 and 2.\nAnswer: -133237.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32724 (base 8) to base 9\nAnswer: 20811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -9*i + 181679. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-605) + (-8)\/44?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 * -1394\nAnswer: -738.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 + 2640 = 26*c. Let m = -14 + -8. Let p = c + m. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 4*x**2 + 7*x**2 - 5*x**2 - 20242*x**3 + 3*x**2.\nAnswer: -20242*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 79 - 141. Let z be (-1)\/6 + b\/6. Solve 4*l - 4*p = 16, 5*p = -6 - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5240996, -23 in ascending order.\nAnswer: -23, -5, 5240996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6402\/(-44)*1\/(-3)*2. Suppose -i = y - 3*c, 0 = -2*c + 9 - 1. What is y rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = y + 2 + 1, 18 = 4*y + 2*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 263*s = 264*s - 38, -4*d = 2*s - 50. Let g = 24 - 28. Sort d, 1, g in decreasing order.\nAnswer: d, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -406398?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 + -334.151. Round y to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1017*u - 133050. What is m(129)?\nAnswer: -1857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18924 is divided by 6291.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 14*l + 56. List the prime factors of j(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z**2 + 7*z + 4. Let o(h) = -56*h**2 - 22*h - 14. What is -10*l(b) - 3*o(b)?\nAnswer: -2*b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = c - 0*o, -c + 3*o = 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*d**3 + 199*d**3 - 27*d**3 - 45*d**2 + 45*d**2 - 24*d**3.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1267 - 0.\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -39. What is the remainder when 71 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1468*x - 1444*x + 96 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**6\/24 - 3*l**5\/5 + 19*l**4\/16 + l**3 - 5*l**2\/2 + 135. What is u in y(u) = 0?\nAnswer: -1, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and -39\/2620.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.6, 2\/9, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-145))\/((12\/(-5))\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 532*n**2 - 74*n - 29. What is the units digit of w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 + 5*h - 3. Suppose 4*a - a = 18. Suppose 13 + a = -4*y + r, 0 = -5*y + 5*r - 5. Determine g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 10 = -10*s. What is the second derivative of 5*u**4 - 5*u - u**4 + 2*u**4 - s*u**4 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81268?\nAnswer: 2, 11, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 3. Let h(a) = 13*a + 8. Let t(z) = 3*h(z) - 8*s(z). Let y(f) = -26*f + 95*f - 34*f - 28*f. Determine y(t(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/10)\/(2 + 13605\/(-25)). Let l = b - -214177\/10844. Find the common denominator of 2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*w - 293, 0 = -5*s - 0*w - w + 493. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-73))\/(-12 - 391\/(-34)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8278, 8277, 8276, 8275, 8274?\nAnswer: 8273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 10*r - 10. Let w be d(6). Solve w*o + 1 + 8 = 5*n, 0 = o + n - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 824 - 4489\/6. Let i = -76 + g. Which is the closest to -1? (a) -2 (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1840.38 to the nearest ten.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/(-1227))\/(24\/(-12356)) + -8 + 3 and -9\/4.\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3420 - -1200?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404 + -421 + 1 + -1 + (-18 - -5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/1 + (-5 + 66 - -1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(7) + 1 + -4)**2 - sqrt(7)) + -6*(-4 + (sqrt(21)\/sqrt(3))**2 + sqrt(7)).\nAnswer: -13*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -40?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p - 29. Calculate t(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23141 - 2?\nAnswer: 23139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*o + y, -4*y = 3*o + 3 - 41. Let b be (-94)\/(-8) - (-2)\/8. Let r = b - o. Solve 2 = r*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/((-1)\/4). Let g be (-1)\/(-3) - (-353)\/x. Suppose -w - w - 42 = -k, 0 = 3*k - 4*w - g. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(60\/5)*24\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056683242658 + -4?\nAnswer: -4.056683242658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -781 + 702 + (-3 - -37).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/6)\/(-7) + (-3)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(684)*1)**2.\nAnswer: 48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745905 divided by -149181.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 4.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -356795 divided by -5\nAnswer: 71359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(384) - -2*sqrt(384) - sqrt(384)) - (3 + 2*sqrt(11) + 0))**2.\nAnswer: 93*sqrt(11)\/8 + 12875\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/10 + (-6)\/(-15). Let w = 200 + -121. Suppose 2*x = -k*b + 7*x + w, -b - 2*x = -35. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 6*g**3 - g**4 + 2*g**4 - 5*g**3 to the form v*g**4 + t + d*g + q*g**2 + m*g**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i - 26. Let q(w) = 2*w + 8. What is 3*m(k) + 8*q(k)?\nAnswer: k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1525*o**6 - 2*o**2 + 4505 wrt o?\nAnswer: 183000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-5) - -11) + (477\/(-99))\/(5\/(-55))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - -998 - -4*2. Find the common denominator of i\/8*(-8)\/2568 and 89\/10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5995*b + 246296. Give h(-41).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80688 is divided by 1512.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 9. Let l be u(-6). Suppose 11*h = 20 - l. Solve 2*g + 5 - h = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, a: 2, g: 2, f: 1, d: 1, c: 6}. Give prob of sequence fag.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + 28 + -35 + -20\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 5 + -6 - -7 - -33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2 - 798*t + 1604 = 0.\nAnswer: -401, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 260588124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 446870 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 24525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -577783*r**2 + 1002*r - 160?\nAnswer: -1155566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692 - 758 = 11*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39727 + -154?\nAnswer: -39881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26166 (base 9) in base 4?\nAnswer: 10103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 27*r + 10. Determine u(-3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + x - 9, -4*x + 2 - 16 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7 - 1. Let c be (-168)\/16*(-4)\/x. Let p = c + -5. What is the greatest common factor of p and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 221220?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8567631 meters?\nAnswer: 856763.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1 + a**3 - 2*a**3 - 2*a + a. Let l(y) = 3*y**3 - 2*y**2 + y + 1. Suppose 0 = 4*w - 3 + 7. Let b(n) = w*l(n) - x(n). Factor b(v).\nAnswer: -2*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449\/1123 + 1\/5615. Let q be (-48)\/12 - 32\/(-6). Which is the third smallest value? (a) t (b) q (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = k + 14, -3*g + 4*k = -4*g + 9. Suppose 0*t - g*t = 5. Let b = t + 56. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (8 + -12 + (12 - 10))) + 32?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.197 - 0.103. Suppose -2*x - 2*x - 36 = 5*g, 4*g + 28 = -4*x. Let t be ((-2)\/12)\/(2\/g). Which is the nearest to 1? (a) 1\/2 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96940799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 11. Let q be z(9). Let w(u) = u**3 - q*u - 2 + 2*u + 0*u + 3*u**2. Is 13 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*d + 3 - 21, 2*v + 23 = -d. Let i = -8 - v. Solve 4*f - f - 9 = i*z, -3 = z - 2*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117903010 to the nearest integer?\nAnswer: 10858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9)*(-281)\/((-215808)\/(-2592))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1) + 8 + -5. Let n = c - 4. Let w = 11 - 5. Solve -w*t + 2*t = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1800276, -1800283, -1800290, -1800297, -1800304?\n\"Answer: -7*x - 1800269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 + 2910*u**2 - 426300*u + 841000 = 0.\nAnswer: 2, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 23*f**2 + 124*f - 7. Let v(r) = -r**2 - 3*r - 1. Let w(i) = -q(i) - 4*v(i). Let x be w(-6). Which is the third biggest value? (a) -3 (b) -10 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 1, d: 2, j: 1}. What is prob of sequence vdjm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let y = 5 - -23. Let k = y - 24. Sort k, l, -1 in descending order.\nAnswer: k, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45948401*m**5 - 11*m + 2533791 wrt m?\nAnswer: -918968020*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p - 2*p. Suppose 0 = 2*r - 0*r. Suppose 2*q + 3*q + 20 = r. Sort q, 1, p in descending order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/40 + f**4\/8 - 3*f**3\/4 + 2*f**2. Solve v(n) = 0 for n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-2 + 5 - 8)*(-5*v + 0*v + 3*v) + 278*v - 589*v + 287*v.\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-28)\/8)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.64017 * -5.\nAnswer: -3.20085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from ovslvlvvpsl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/(-2)*8\/40. Let r = -296 - -318. Solve 2*u = 3*p + r, -p + h*p - 4 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13292 is divided by 130.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028041 to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -134*z - 670. Let q(n) = -1. What is 2680*q(f) - 4*x(f)?\nAnswer: 536*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1728721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (4 + 3*sqrt(125) + sqrt(125) + 1)**2*2.\nAnswer: 400*sqrt(5) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -7\/512, 0 in descending order.\nAnswer: 0, -7\/512, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + -14 - (-5 - 27)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -42118316 to the nearest ten thousand.\nAnswer: -42120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -302 = -8385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3280409 divided by -3593.\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, a: 1, q: 2, j: 1, n: 2}. What is prob of sequence iap?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 439, 849, 1261, 1675?\n\"Answer: b**2 + 407*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 - k**5 - 3*k**5)*(-284 + 132 + 144).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose 5*r - i*x = 2705, -r + 0*r + 541 = -3*x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 145 = 4*h - 109, -10 = -2*c. Suppose 5*d = q + 330, d = -q - q + h. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vil when three letters picked without replacement from {d: 1, v: 1, o: 1, i: 1, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7180 at most -6355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3298802 by 23231.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.08, 0.5, -2\/15, 10 in descending order.\nAnswer: 10, 0.5, 0.08, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1700) - (sqrt(1700) + 0)))**2*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/5 - 32*p**2 + 323*p\/5 - 162\/5 = 0.\nAnswer: -162, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (408\/20)\/(24*27\/540)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 24 + 350\/(-25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6) - (-141)\/18. Solve -g = 5*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 3*m**5\/20 - m**4\/6 - m**3\/3 + 2*m. Let r be (4*(0 + -1))\/(-1 + -1). What are the prime factors of o(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(7))**2 + -1)*4.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6650000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - w + 8, -20 = -2*t + 3*w. Suppose -5*f + t*f = 0. Solve -5 = -f*o + 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - -1.21. What is the closest to 0.1 in t, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyyz when four letters picked without replacement from {d: 1, y: 3, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = h - 9, -2*h + 0 - 2 = 2*n. Let g be (-7)\/(-2) - 1\/2. Solve -g*t = -h*m + 3, -5*t - 5*m = -2 + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37751 + 14764 = 1167*s for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 80, 115, 174, 263, 388?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*f + 24 = 0, 0 = 4*u + 2*f - f + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -81. Suppose 351 + 157 = o*n. Let b = n - 105. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7773, 7770, 7765, 7758?\n\"Answer: -z**2 + 7774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1016854706 and 0?\nAnswer: 1016854706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.3309, 13, 0.0268?\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 24 - u - 30.\nAnswer: -u + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v. Let u(m) = -112438*m**2 + 1. What is f(u(l))?\nAnswer: 449752*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (2 + 0)\/2*57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*c - 4*c - 5*u, 6 = -c + 5*u. Find the second derivative of 1 - 22*f + 29*f**c - 1 wrt f.\nAnswer: 348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etqxseqreqqtex. Give prob of sequence trq.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/104 - (-41)\/13. Suppose -j*n = 1 + 14, 49 = -2*u - 3*n. Let w be (-18 - u) + (-1)\/(-1). Solve w = -3*x - v - 8, -4*x - 14 + 0 = 3*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*f = 2*b + 120, 0 = 2*f + 10. Suppose b*o - 36*o = 57. Solve 3*k + 5*v = -23, 5*k + 5*v + o = -22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 2851.4\nAnswer: -142.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466731.\nAnswer: 3, 51859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2)\/((-1)\/(-48)). Suppose 5*a + 226 = -b, -a - 6*b = -3*b + u. Let i = -19 - a. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33743 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35066 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10593\/428)\/99)\/((-98)\/(-16))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221895, -221923, -221997, -222141, -222379, -222735, -223233, -223897?\nAnswer: -224751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssfq when four letters picked without replacement from fssqs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - ((31 - 13 - 18) + -24)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21120020 + 201112010?\nAnswer: 1000002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-38) - 14\/(-133). Suppose p = 5*f + 19 - 34, 5*f - 99 = -2*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/56992412 and -31\/45268.\nAnswer: 56992412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*f - 4. Let x(s) = -18*s**3 + s**2 - 1. Let g be x(f). What is the common denominator of -61*3*(-2)\/g and -7\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:41 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 443235\/76 greater than 5831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99 + -4?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 306, 368, 428?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 3:04 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 870474.88 rounded to the nearest 100?\nAnswer: 870500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.03, 3, 13515, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 5*m**2 + 2. Let x be d(1). Let r(c) = c**2 + 3*c - 6. Let l be r(-5). Solve 0 = -p + 3*q - q + x, -p - 8 = l*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -94. Is m less than or equal to -1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 34*j**3 + 41*j. Let d(u) = 11*u**3 + 13*u. Determine -8*d(y) + 3*k(y).\nAnswer: 14*y**3 + 19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 4*n**2 - n + 3. Let k be w(1). Suppose -5*m - 10 = -25. Sort 0, k, 13, m in decreasing order.\nAnswer: 13, m, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.4702 days to seconds.\nAnswer: 7730225.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17933*f**2 + 6304*f wrt f.\nAnswer: 35866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s - 6. Let l be t(-6). Let f(k) = 3*k**2 - 3*k - 16. Let h be f(-4). Let d = l - h. Which is the biggest value? (a) -0.1 (b) 2\/15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109681503671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 275 = -5*j, 12*j + 165 = 9*j - 5*u. Is 6\/(-33) - 20855\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -49 + 16656*y**6 - 3*y**7 - 6*y**3 - 16656*y**6. Find the third derivative of n(g) wrt g.\nAnswer: -2520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (810\/(-432) + 1648\/640)*-1?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(475)*2 + sqrt(19)*-2*-2)**2.\nAnswer: 18620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(25\/(550\/33))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10725 is divided by 10708?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-13 - 8) + (-6 - -15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.8 (b) 2\/33 (c) 4 (d) 1 (e) -2.9 (f) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:53 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*u = -38, 0 = -89*y + 62*u - 65*u - 243 - 1006 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/12 - i**3\/3 - i**2. Let f(m) = m**2 - 9*m + 8. Let d(k) = -4*f(k) - 18*t(k). Differentiate d(c) wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4 - 50 - 2 + 48 + 8*j**2. Let i(u) = -457*u**2. Determine d(i(l)).\nAnswer: 1670792*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 63*i - 46*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 10) in base 7?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 4*q + 74. Let u be c(-9). Let o = 127 + u. What is the least common multiple of 14 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 + 2*d - 3. Let c be p(3). Let j = c - 2. Suppose 2*v + b = 4, -2*v - v - j = 5*b. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 980318889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129051.\nAnswer: 3, 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 0)*5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 23*r**6\/360 - 19*r**5\/120 - 13*r**4\/12 - r**2 - 43*r. Let x(t) be the third derivative of w(t). Is x(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3, -33*m = -28*m - 4*l - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 413590.116 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 14*n**2 + 25*n + 11. Let b be r(-12). What is the tens digit of (35\/2)\/(b\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, p: 1, m: 2, u: 3, w: 1}. Give prob of picking 1 m and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1659, 1657, 1655, 1653, 1651?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21298\/3 - 7099. Which is the nearest to 2? (a) 1 (b) 4.66 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 - 4*k**2 - k**2)*(0*k + 2*k + k) - 3*k**3 + 2*k**3 + 1 + 2 as m*k + y*k**2 + f*k**3 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/464 and 127\/18.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121742629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 3. Let y be d(-3). Suppose 11*b = -0*b + 462. Suppose -2*o = 44 - b. Put o, -4, y in ascending order.\nAnswer: y, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -133 (c) -0.5823 (d) 3\/7 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let b be 287\/(-595) - (6\/5)\/u. Let l be (-2)\/(-7) - 4\/7. What is the closest to l in b, -4\/3, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -1a517?\nAnswer: -1a508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2857, 2, 5 in increasing order.\nAnswer: 2, 5, 19, 2857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274850*z**2 + 949118*z**2 + 3*z - 3*z.\nAnswer: 1223968*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 10*j**2 + 12*j + 13. Let p be x(-11). Suppose 5*i = -d + 24, -3*d = p*i + 4 - 11. Which is the third biggest value? (a) 0.3 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3732 divided by 6?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3554312328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -414 + 42. Let f = -27 - w. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2906 (base 10) to base 9\nAnswer: -3878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 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: Which is the second smallest value? (a) 0.036 (b) 34 (c) 270 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*z = v + 23, -2*v = 5*z - 29. Let d be 6 - v - 56\/2. What is d rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.27222 milliseconds in seconds?\nAnswer: 0.03527222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 2*t + 486, -3*t - 759 = 3*k. Let u = k + 358. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 0 - 0\/18. Suppose -2*q + f*q - 5*n = -5, 5*q + 135 = 3*n. What is the tens digit of (-225)\/q*(-40)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4991 - 4891. What is the remainder when z is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -854, -3893, -9120, -16541, -26162?\n\"Answer: -p**3 - 1088*p**2 + 232*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2196\/73 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.712 - 5.122. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.68 to one dp.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02766 - 518.82766. Round f to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-1918)\/(-72)*1114. Let h = j - -29686. What is the common denominator of -67\/20 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v = 90*v - 1947. Let h(g) = 3*g**3 - 2*g + 2. Let c be h(2). What is the greatest common divisor of v and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 1\/6 (b) 0.2 (c) 0.5 (d) -10 (e) -4 (f) 48\/41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -12. Let f = 9 - o. Solve f*n + 13 - 3 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2944 + -2894. Calculate the greatest common divisor of t and 1180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 2*c - 26. Calculate m(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -28*z**3\/5 + 24364*z**2\/5 - 218872*z + 1316800 = 0.\nAnswer: 50\/7, 40, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -65 and -64 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 59. Suppose s - 5*s + k = 0. Let r = 21 - s. 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 m(z) be the second derivative of 2464*z**6\/15 - 431*z**4\/12 - 3*z**2\/2 + 6441*z. What is the third derivative of m(w) wrt w?\nAnswer: 118272*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:53 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-5 - -10) + -23 - 5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 1. Let d be t(-2). Let u be ((-4)\/3)\/(((-4)\/d)\/(-12)). Does 9 divide 542\/15 - u\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.35?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 19*y**2 - 19*y - 10. Let b be f(-18). Are b and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83, -14, 175, 544, 1153?\n\"Answer: 10*y**3 - y - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -28. Solve -4*p - 5*c + 3*c = z, -p + 2*c = -9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*m + 25 = 371*m. Solve 0 = 3*z - 20 + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**3 - 4542467*h**2 + 7568213 wrt h.\nAnswer: -9*h**2 - 9084934*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.8 + 1.2. Let f = -45.3 + z. Let m = f + -3.75. Round m to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.64 - 0.04. Let l = -4 + f. Let y be 1 - 60\/16*(-6)\/(-15). What is the nearest to 1 in l, y, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36.7, -0.2, 1.029?\nAnswer: 1.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - ((-18 - 79) + 14) - (6 + 0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11.5. Let i = -12 + 8. What is the closest to 3 in 3, c, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 708 - 712. Which is the nearest to 1? (a) -4\/31 (b) -2\/17 (c) 4\/5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*s = 29, 2*q - 4*s + 4 = -8*s. Suppose -5*f = -4*v + 2*v - 12, 0 = 5*v - 20. Solve f = -4*l - 4*j, -2*l + q*j = j + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 33 = -2*d, -3*d - 4*m + 41 = -0*d. Suppose 4*y + 5*v - 192 = 0, 2*y - 138*v = -140*v + 100. What is the remainder when y is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -68. Find the common denominator of 52\/99 and q - (-3 + (-137)\/(-9)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/102)\/(-5)*-1)\/((-6)\/6).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1635 + 1634.8. Which is the nearest to m? (a) 0 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 + 7*f - 7. Let s be n(4). Suppose -h - 4 = -v - 10, 3*v = -s*h + 38. Solve -5*w - 2 = -3*d, -h*d = -2*d + 3*w - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21223426 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = -5*c, -g - 3 = -6*c + c. What is the nearest to 1\/4 in 0.4, g, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l - 221. Let g be t(-13). Let b be 2\/(-6) - 55\/(-3). Let w = g + b. Let o(j) = j**3 - 5*j**2 - 2*j + 7. Give o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*a**3*b**3*r - 9*a**3*b**2*r - a*b**3*r + 17*a*b**2*r - r wrt b?\nAnswer: 438*a**3*r - 6*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 5*q**2 + 49)*(0*q - 3*q + 4*q)*(-2 - 2*q + 2).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 0)*2\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 5, 35, 101, 215?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -734.4736*-4\nAnswer: 2937.8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 smaller than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 greater than -493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 3. Let h = 11 - 6. Suppose -h*a = -6*a + 2. Let j(z) = 3*z**2 + 2. Calculate a*k(o) - 3*j(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 29. Suppose 0 = z*r + 1 - 7. Suppose -6*k + 42 = -r*k. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180387182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - -4) - (-3 - 3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80\/3 - -27. Let b be (5\/4)\/(2\/4). What is the second smallest value in b, -1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from ggilzdw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose -34 = -j*u + 14. Let m = 137 + -90. What is the remainder when m is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*l - 45*l - 33*l)*(0*l**2 + 0*l**2 - 8*l**2) + (-7 - 9 + 7)*(-1 + 2 + 1)*(l**3 + l**3 + 0*l**3).\nAnswer: 284*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*-2*(-6)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681 = -61*t - 71 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14386 = 6*w - 2*c, -5*w = 4*c - 10800 - 1211. What are the prime factors of w?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3410*d - 4408 = 3486*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -22.9. Let h = -0.59 + 0.5. Which is the second biggest value? (a) 2 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnww when four letters picked without replacement from nnnwwwn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.679 - 0.321. Suppose 3*w = w. Which is greater: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 2*h - 8*h - 2*h**3 + 14*h + 2*h**2 - 10. Calculate the remainder when w(-5) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 32 = 2*t, 71873*v - 20 = 71877*v + 3*t for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:56 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2*(-2 + 7\/(308\/86))). Solve -3*h = -9*q + y*q + 4, -9 = q + 5*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6404767nm?\nAnswer: 0.0000000000006404767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1424 and 83126?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60604 at most as big as 60612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 17.9?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28518367 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 + 7*a + 11. Let d be c(-3). Let n(h) = 2*h**2 + 7*h + 5. Let g be n(-6). Let p be 39\/g - 8\/d. Is p at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/15 + 34*z**4\/3 - 2054*z**3\/15 + 4678*z**2\/15 + 656*z\/15 - 6248\/15 = 0 for z.\nAnswer: -1, 2, 11, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**3 + 2*l**3 - l**3)*(-140 - 284 - 53)*(0 + 0 + 8*l) to m*l + b + r*l**4 + f*l**2 + h*l**3 and give r.\nAnswer: -3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 127055, 127049, 127031, 126995, 126935, 126845, 126719, 126551?\n\"Answer: -p**3 + p + 127055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 30.8, 2, 0.\nAnswer: -1\/7, 0, 2, 30.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3\/(3\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let y(f) be the first derivative of -121*f**4\/4 - f**3\/3 - 3*f**2\/2 - 5*f - 3536. Is y(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 22555, -3 in increasing order.\nAnswer: -5, -3, 0, 22555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/8 (b) -3 (c) -4\/3 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n*p + 6723*n*y**2 + 2*p*y**2 - 118*p*y - y**2 - 4*y - 50 with respect to n.\nAnswer: -4*p + 6723*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 648949, 648957, 648969, 648985?\nAnswer: 649005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4210, 1488, -1250, -4010, -6798?\nAnswer: -9620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/68870 and -101\/20?\nAnswer: 137740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 6. Let f(s) = -1. Let q(k) = -2. Let i(g) = -13*f(g) + 6*q(g). Let o be (6\/(-12))\/(3\/2 - 1). Determine o*j(z) + 6*i(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 470?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55394 or 55029?\nAnswer: 55029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*i + 11, -2*i - 19 = -3*s + 3*i. Put 2, -9, s in increasing order.\nAnswer: -9, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.63846 + -10.6364. Let g = m + -0.01566. Let v = -5 - g. What is v rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q + 70*q = 2. Is (2*14\/(-4))\/(q\/31) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2. Let o(b) = 147*b + b**2 - 147*b. Determine c(o(i)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 34*a. Let i(r) = -18*r. Let c(j) = -11*i(j) - 6*m(j). Let p(v) = -1. Let z(q) = -3*q + 5. Let g(s) = 5*p(s) + z(s). Give g(c(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83911 less than -1234?\nAnswer: -85145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14413189.\nAnswer: 7, 263, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -2517)\/(-1) - 17 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162581743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3566)\/(-30) - 4\/6. Suppose -54*g + 3327 + 3045 = 0. Let p = g - x. Which is the second biggest value? (a) p (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -7fa?\nAnswer: -7f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19706.\nAnswer: 2, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1958*o**4 + 96*o**2 + 784449.\nAnswer: 7832*o**3 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*i - d + 71, d = i - 53. What is the remainder when i is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**5\/20 - b**4 - 7*b**3\/3 + 9*b**2 + 7*b. Let z = 148 - 135. Let o be a(z). Solve o*g + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 + 22*y**2 - 16*y + 65. Let b be d(7). Find h such that -4 + 2\/5*h**b + 6\/5*h = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1576\/5 + 302. What is the biggest value in 1\/2, 5\/3, g?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78676513?\nAnswer: 6421, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g - 2 + 2*g - 7*g + 12*g. Let c be o(1). Suppose c = -2*b + 5*b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 7 + -4 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37644 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5641\/444 - 23\/37. What is the common denominator of r and 11\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 - 3*n - 9. Calculate f(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157119281 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 3. Suppose 8*u - 49 + 1 = 0. What is the lowest common multiple of u and o(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfauftauuaffavf. What is prob of sequence au?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 69136305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/(d**3*d)))\/(d\/(d**(2\/23)\/d*d*d*d)))**8)**33)**(1\/7) assuming d is positive.\nAnswer: d**(30888\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.72574 + 1.47308. Let y = -1.25 - a. Round y to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 4*u**2 + 12 + 17 to the form f*u + h*u**2 + t and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195951 = 114*z - 5887*z - 548*z for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40119 = 712*p - 11857 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/21)\/((-3)\/42). Solve 0 = -2*u - 3*s - 16, c*u + 5*s = 5*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290387714 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10857.26 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 + 10*p - 6. Calculate j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 - 3 = -2*z, 3*y - 10 = 2*z. Suppose -4*l = -2*l - 3*c - 3, 2*c = -l - 9. Put l, z, 3 in increasing order.\nAnswer: z, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h + 837. Let a be w(64). Let x(c) = c**2 - c - 4. Let d be x(5). Solve -a*v - d = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.89 and -208.17?\nAnswer: 185.2713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001042872 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -145, -265, -385, -505, -625?\n\"Answer: -120*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/13)\/15*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/99 and 38\/4293531.\nAnswer: 4293531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 20455?\nAnswer: 859110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 12, 5\/8, 3.38, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 5*d - 1 + 1 + d**2 + 2. Let h be k(2). Let v(x) = -16*x**2 + 1. Let w be v(h). Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1548 - -113162?\nAnswer: 111513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 40. Suppose -6 + 48 = 2*n - 2*j, -3*j - s = -n. What is the remainder when 51 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 + 2*g + 5. Let m(w) = 11*w**2 + 3*w + 8. Suppose 2*y - 4*y - 10 = 0. Let i(z) = y*m(z) + 8*r(z). Determine f so that i(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1334880 divided by 309.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-261)\/(-36) + -15)*(-10 - -6).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*p**2 + 7\/3 - 2*p.\nAnswer: -(p - 1)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 12:45 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 0.2. Let f(m) = -m + 10. Let s be f(6). What is the third biggest value in u, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-7\/5)*p*p**7*p)\/(p**3\/(p\/(p\/(p**(3\/7)*p)*p))))**(27\/5) assuming p is positive.\nAnswer: p**(8343\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 4 - 52*a - 3*a**2 - 6*a**2 + 69*a. Suppose 0 = 3*b - 9 - 12. What is the units digit of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229074609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 6*x**2 + 0*x**2 + (-3 + 2 - 1)*(-5*x**2 + 2*x**2 - 2*x**2).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsos. Give prob of picking 1 s, 1 d, and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76687204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, -236, -910, -2228, -4406, -7660, -12206?\n\"Answer: -36*x**3 + 2*x**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 3*d + 4. Let c be y(-4). Let k be (c - -1)\/(2\/(-4)). Let a be 40\/22 + -4 + 2. Is k greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*j - 17. Calculate the smallest common multiple of j and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:57 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 1\/4*w**4 + 1\/20*w**5 + 1\/2*w**2 - 2*w - 5\/6*w**3 + 0. Suppose -i - 20 = 4*i. What is m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4320 is divided by 289.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppppppppyy. Give prob of picking 1 y and 1 p.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-28971)*-29)\/(1\/(-4)))\/(9\/(-81))?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -20. Let w(i) = 2*i**2 - i**2 + u - 13*i + 13*i**3 - 12*i**3 + 3. What is the units digit of w(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2 (b) -5 (c) 0.32177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 4*j**2 + 5*j + 19. Suppose 3*d = 5*o - 3 - 16, 4*d = -5*o - 2. Determine r(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 18*o**2 + 17*o - 4. Let v be w(17). Let j be 4*v\/24*3. What is the nearest to 1\/2 in -0.4, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/27)*n)\/(n\/(n*n*n**10))*(n\/(n*n**(-3)*n))\/n**(-14) assuming n is positive.\nAnswer: n**(758\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 76841 times -0.4\nAnswer: -30736.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t + 16. What is the tens digit of i(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362288927 to the nearest integer?\nAnswer: 19034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*l = -10, -o + l + 2*l = -12. Let r(k) = 0 + 10*k**2 + o - 4*k**2 - k**2. What is the tens digit of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:58 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -53719398 divided by 138\nAnswer: -389271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 3, z: 2, i: 2}. Give prob of picking 1 b and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 928 + -931 - ((-5 + 4 - -17) + 4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*i - 165, -t + 58 - 223 = -5*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, 1, -127 in decreasing order.\nAnswer: 4, 1, -1, -3, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -5*((sqrt(84) - sqrt(84)*1 - sqrt(84)) + sqrt(84)))*-4*6)\/((sqrt(432) + -1*(sqrt(432) + 1*sqrt(432)))*3).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -3)\/((-9)\/5595). Suppose 2*b - r = -5. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1716)\/(-1430)*500\/27*(-1)\/2\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpk when three letters picked without replacement from {p: 4, q: 1, k: 7, d: 4, w: 2}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/7616*-51)\/((-6)\/(-40)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 132.54 and 4.585476678?\nAnswer: 127.954523322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 868964597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/sqrt(8) - 3*(sqrt(2) + sqrt(162))**2 - (sqrt(48)\/sqrt(6) + -2)*6.\nAnswer: -588 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11207, 22418, 33613, 44786, 55931?\nAnswer: 67042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*c + c**2 - 13*c - 11*c**2 + 42*c - 14*c + 43*c**4 wrt c.\nAnswer: 1032*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u + 1. Let d be r(-3). Let s = d - -3. Let j be s\/(21\/(-30))*-9. What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -15*52\/(-65))*(-1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28982, 115592, 259964, 462116, 722066, 1039832, 1415432?\n\"Answer: 3*j**3 + 28863*j**2 + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3781 + -11?\nAnswer: 3770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 185557*d**2 - 8*d - 37. Let p be q(-3). What is p rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*l = 5*l + 6, -3*c + 16 = -5*l. Let w(j) = 8*j + 1. Let g be w(c). Let o = -8 + g. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*k**3 + 827*k**3 + 15*k**2 - 253*k**3 - 320*k**3.\nAnswer: -3*k**3 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 665 - 657. Let a(z) = 2554*z + 249. Is a(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + ((sqrt(98) + -1)**2 - sqrt(98)) - (-3 + sqrt(98) + 0)**2) + 3.\nAnswer: -63 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186708, -373418, -560128?\n\"Answer: -186710*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 59 - 9. Let c = g + 99. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583428391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**2 - 4*w - 2. Let i = -652 + 696. Suppose -43*k + i*k = 5. Let o(z) = -7*z**2 - 3*z - 2. Give k*x(u) - 6*o(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (817\/7353)\/(-1*(-1)\/33)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*h - 24 = 454*h. What is the closest to 0 in -3\/7, h, -3, 6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**5 + 415*f**4 + 8900*f**3 + 68000*f**2 + 100000*f - 550000 = 0?\nAnswer: -55, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2.5, 0, 6 in decreasing order.\nAnswer: 6, 0, -1, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 354859?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l + 2436 = 2*h, -2*h + 2426 = 2*l. What is the greatest common factor of h and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3 + 9818*o**2 + 4350278*o + 506206302 = 0.\nAnswer: -4431, -239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5707)\/(-819) + (-18)\/(-36)*-14?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -9)\/(2*1\/2). Solve 5*u + c + d = -3*c, -5*c = 3*u - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d**2 - 2 + 40*d**2 - 89*d**2 + 2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-22)*6\/(-21)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61685.36ml in litres?\nAnswer: 61.68536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.19 - -18.3. Let v = 0.21 - f. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30011549\/10 + -2997512. Let h = i - 3631. Let k = 219\/140 - 8\/5. What is the common denominator of h and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/20 - 11*w**4\/12 - 2*w**3 + 7*w**2\/2 + 7*w. What is the units digit of u(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 489\/326 - 29\/2 - (-51)\/(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 9*a + 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 1. Let q(w) = w**3 - 2*w**2 - 3*w + 4. Let v(i) = -q(i) + 4*u(i). Suppose -5*g + 2*g = -2*d - 2, -4*d + 2*g - 4 = 0. Calculate v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 2894460.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:54 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522885511?\nAnswer: 3, 12541, 67057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9270 by 90.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*y - y + 40, -5*v - 5*y + 40 = 0. Suppose -v*w + 3*w = 110. Let c = w + 26. Solve c*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 2*m + 3*m)*(-m + m - 2*m) + (-56*m + 205 - 205)*(m + 5*m + 3*m) as x + u*m**2 + q*m and give u.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242) + 0 + (sqrt(32))**2 + 1 + (sqrt(72)*-2)**2.\nAnswer: -11*sqrt(2) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, -2 in increasing order.\nAnswer: -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493195 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*t + 20 = 5*d, -5*t = -49 + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-10))\/3)\/((-220)\/165)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2055.\nAnswer: 4\/2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 248*g + 15. Let f(p) = -3361*p. Calculate f(a(c)).\nAnswer: -833528*c - 50415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.02 (b) -8 (c) -2\/5 (d) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 168, 204, 264, 348, 456, 588, 744?\n\"Answer: 12*s**2 + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*c + 9*c = -86*c + 2224 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -474.39 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8 - 1502*j - 1500*j + 2998*j + 6 - 1. Let a(b) = -11*b + 39. Determine -6*a(p) + 17*h(p).\nAnswer: -2*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in -307, 0.3, -3\/4, -2\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -7*q**4\/24 - 9*q**2. Suppose 0 = -5*o + 24 + 11. Let i(m) = -o*m**2 + 31*m**2 - 16*m**2 - 12*m**2. What is i(n(z))?\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:26 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18847 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 14 + 82. Let b = -8 - d. Let w(i) = -i + 4. Calculate the remainder when b is divided by w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/47610 and 155\/85698.\nAnswer: 428490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2031, 4039, 6047, 8055, 10063?\n\"Answer: 2008*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y. Let c(t) = -6835*t. Calculate r(c(h)).\nAnswer: 75185*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q + 302 = -58*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = -2*z + 142, -5*t + 379 = -z. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/3 + 302*r\/3 - 1596 = 0?\nAnswer: 18, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*h - 3, -16 = -5*b + 2*h + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 8. Let l(i) = -i**3 + 14*i**2 - 11*i - 38. Let x be l(13). What is m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(m**3 - 3*m**3 + m**3 + (-4*m + 4 - 4)*(4*m**2 - 2*m**2 - m**2))*((m - 2*m + 0*m)*(2 - 6 + 0) + 2*m + 10*m - 19*m).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -k + f - 12, k = 3*f - 13. Let q = -280 - -579\/2. Let x = k + q. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4112.5 + -4112. Sort 1, -5, 14, y, -2.\nAnswer: -5, -2, y, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/24 - (-281865)\/(-158136). Let l = -1\/599 + q. Calculate the common denominator of -23\/11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 + 228*a**4 - 8577*a**3 + 16458*a**2 - 8112*a = 0.\nAnswer: -104, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9669389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1315 + 1385 + (-62 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 11) in base 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 97 = 5*h, 18960*h = 18953*h + 2*n + 44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45907 + k - 2*k**2 - k - 45907.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26349*y**3 - 34*y**2 + 595?\nAnswer: -158094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:59 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/2 - 54*k**3 - 289*k**2 + 738*k - 791\/2 = 0.\nAnswer: -7, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/11 - -3 - (-2703)\/(-29733)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4035312, -4035310, -4035308?\nAnswer: -4035306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3857163819897 and 0.09.\nAnswer: -0.2957163819897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2940531 and -3711.73.\nAnswer: 2936819.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 12 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 130, -4, 368?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 849*i + 989*i - 2086*i.\nAnswer: 2*i**2 - 1946*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -25*p + 19*p + 8. Solve f - 5 - p = -3*q, -3*f + 2 = 2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2. Let q(w) be the first derivative of -18*w**2 - 87. Give q(g(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 - 6. Let a = -22 + 24. Let l(j) = 3*j**2 - 2. Calculate a*n(h) - 7*l(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -1\/7, 4\/5, 3\/2, -2\/13, 0, 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -141 and -5.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*s = -14, 5*s + 8 = 5*l - 2. Suppose 0 = -6*g + l*g - n + 28, -5*g - n = -44. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = -13276 + 59236. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -337 - -427. Is (-56909)\/(-9) - ((-200)\/s)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c - 12. Let o = 10 + c. Calculate the remainder when 10 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7657592*q**4 - 111461*q**2?\nAnswer: 183782208*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/2 + 418*o**3\/3 + 28090*o**2\/3 + 126312*o = 0.\nAnswer: -554\/3, -76, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 5:17 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -959.6 and 8?\nAnswer: -7676.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707400562 is divided by 1052?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.6, 0.4, 13, 0.3, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 6*a - 32. Let n be y(-9). Let w(b) = -240*b + 39. List the prime factors of w(n).\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1631*s**3 - 268*s + 268*s - 24*s**2.\nAnswer: 1631*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 49) + -36 - -65.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 3*z - 1683, 44*z - 9 = 45*z. Calculate the remainder when 1189 is divided by d.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 + 9305*b**3 + 73665*b**2 - 843605*b - 907970 = 0.\nAnswer: -1853, -14, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8873*l + 10210 wrt l?\nAnswer: -8873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - n**2 - n. Let k be (-4)\/6*(-6)\/(-4). Let p be b(k). Does 4 divide 6 - (0\/p)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 20.4. Let n be 3 + -4 + (-2)\/(-3). What is the nearest to n in h, -3, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (-22 + (15 - -18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*2 - sqrt(6)\/sqrt(3)*6.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 7. Let m be (-217)\/(-9) + 3\/(-27). Let j = m - 30. Calculate n(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. Suppose -r - q*z - 5 = 0, 0 = -5*r - 4*z - 0*z - 25. Are -5 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 912*u**3 + 1600*u**3 - 687*u**3.\nAnswer: u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/20)\/((-8)\/(80\/(-10))*2\/(-23)).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2178.8 + -2178.8. Which is the second biggest value? (a) i (b) 5 (c) -2\/7 (d) 2 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(49)\/(-1*sqrt(7))*-1 + (sqrt(49) - (sqrt(784) + sqrt(784)*1))\/(sqrt(189)\/sqrt(3)))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.034977?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8568790 or 1?\nAnswer: 8568790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 227, 1763, 5921, 14009, 27335?\n\"Answer: 218*k**3 + 3*k**2 + k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3845 or 3846?\nAnswer: 3845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83084698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from gfyyfrgvfyrvv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*7\/42*120\/(-300).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120204 and 1093708.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -62 + 54. Let h be 10600\/(-6)*-10*(-120)\/p. What is h rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 19 = 3. Suppose 9*a + 20 = f*a. Let u(d) = d + 4. Let g be u(0). Sort 3, a, g in decreasing order.\nAnswer: g, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-6) + 98\/196?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -481. Calculate the greatest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/117)\/(156\/1014).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + 2 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l + 4 = 37*l. Let k(n) = -3*n**3 - 3*n**2 + 3*n - 1. Let x be k(l). What is the third smallest value in x, -2, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (-1 - 2\/(-2)). Let y = 11596 + -5000. Let a(n) = 2*n**2 - 6592 + y + 0*n**2. Let s(k) = -4*k**2 - 7. Calculate i*a(f) - 4*s(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 23 - 21. Let q(y) = y**2 + 52*y - 5647. Let c be q(-111). Calculate the greatest common factor of v and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 + (9 - (0 - -14) - (-3 + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 3 + -3 + 0. Sort 4, f, -8, 3 in ascending order.\nAnswer: -8, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 95 (b) 0.4 (c) 2 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4*i*i)\/i**3)\/(i**(-2\/15)*i*(i**(-1)*i)\/i))\/(i*i**(-4\/7)*i**(3\/7)*i)**(16\/9) assuming i is positive.\nAnswer: i**(-53\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l. Let h = l - -4. Let o(y) = -y - 1. Let w be o(-5). Solve 5*q = h*q - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1\/10*d**4 - 1\/5*d**2 + 4\/15*d**3 - 4 - 4\/5*d. Factor t(r).\nAnswer: 2*(r - 1)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 185*n + 3944. Determine g(-21).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 - 725216*k + 32871140416 = 0.\nAnswer: 90652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 73 = 4*i - 25, m = 5*i + 90. Let j = 41 + i. Calculate the lowest common multiple of j and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969 is divided by 3432?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 17*t**2 - 67*t + 14. Let a be i(11). Solve 2*g = -5*o + 11, -4*o - 2*g + 1 = -a*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 2, z: 4}. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, w: 3, m: 6}. What is prob of sequence wf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 c when three letters picked without replacement from {h: 1, q: 2, c: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1519 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 15\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3222500 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 291, 316, 361, 432, 535, 676?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.5. Suppose -10*o + 30 = 30. What is the closest to 1\/3 in o, d, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 6*b**2 + 36*b - b**2 - 40*b as h*b**2 + a*b**3 + l + c*b and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-13200)*-1230 + 1 + 14\/(-10)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/3, 0.4, -5, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/14 - 263\/1841) + 21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 56 = -17*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-9)*((-19)\/399*24)\/(48\/(-252)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10611 - 10609. Let f = -6.86 + -0.14. Let i = -11 - f. Which is the nearest to i? (a) 5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 10*j + 13 - 2 + 3.\nAnswer: -j + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214038144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 2574*b + 716320 = 0.\nAnswer: -880, -407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/9)*t))**(6\/29))**10 assuming t is positive.\nAnswer: t**(40\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 129150 = 8*m - 9*m, 129165 = 5*w + 2*m. Suppose -2*p - 23763 = -i, -4*p - 4*i = 21677 + w. What is p rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-4\/7)*s)\/(s*s**(-5))*(s**(-1\/4)*s)**(-14))\/((s*s\/(s\/s**(-1\/4)))\/(s*s\/s**(-2\/3)*s*s))**23 assuming s is positive.\nAnswer: s**(7321\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 129736*z\/7 - 1297560\/7.\nAnswer: 2*(z - 64878)*(z + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:59 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 33 = -107. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27452, 54854, 82256?\nAnswer: 109658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 8*j**2 - 6*j + 7. Let o be b(-7). Suppose 11*z - 5*z - 24 = o. What is the second derivative of -86 - 11*t + 86 - 8*t**z wrt t?\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(180) + 4*sqrt(180))*-2 - (sqrt(180) + 0 + 1)))**2.\nAnswer: 528*sqrt(5) + 21796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 3982?\nAnswer: 3987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -1885, -2828, -3771?\nAnswer: -4714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 4, c: 6, g: 2}. Give prob of picking 1 g and 2 o.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -408815 and 13548183?\nAnswer: 13956998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(504)\/(sqrt(54)\/(sqrt(24) + sqrt(6))))\/((1*sqrt(512) + sqrt(512))*-3 - sqrt(512)).\nAnswer: -3*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18 + (-66)\/9. Let l(r) = r**3 + 6*r**2 - 9*r - 9. Let m be l(d). Solve 0*k - k = 4, -5*x + m*k = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**3 - m**2 + 3*m. Suppose 4*j = 1 - 5. Let r be ((-3128)\/(-6256))\/((2\/(-24))\/((-3)\/(-6))). Let d(x) = -x**3 - x. Give j*v(c) + r*d(c).\nAnswer: -7*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/6 - y**3 + 16*y**2. Find the first derivative of w(z) wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 times -0.01?\nAnswer: 5.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 1. Let d(c) = c**3 + 6*c**2 + 8*c + 3. Let u = -14 - -11. Let o(x) = u*h(x) - d(x). Let g be o(-5). Is g bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(20\/(-30))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/728)\/(2615\/(-2092))*((-14)\/3)\/(-1).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 58 = 14. Let t = 19 - k. Calculate the lowest common multiple of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + f + 2*f + f - 4*f + 4*f + (-2*f + 2*f + f)*(-1 + 4 - 2) + (0*f - 5*f + 0*f)*(2 + 3 - 6))*(-99 + 363 + 371) to the form s*f + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let y(n) = n**2 - 3*n + 1. Let u be y(7). Let c = u - 18. Solve -4*o = p + c, q*o + 16 = 4*p - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1694? (a) -2 (b) 1\/2 (c) 18\/13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8530925*c - 6121041?\nAnswer: -8530925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28780.089964 + -28780. Let i = 0.09 - h. Round i to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(5 - 1 - 1)*(-3*h + h + h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66207, -133291, -200353, -267381, -334363, -401287?\n\"Answer: 2*i**3 - i**2 - 67095*i + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524278669 to the power of 1\/3, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787*u - 745*u = 19159098. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2493 = -3*c - 5*m, 1854 = 3*c - 3*m - 687. What is the remainder when c is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*i**5 + 3755800*i**3 - 2*i**2 - 4103027 wrt i?\nAnswer: 720*i**2 + 22534800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/7))\/((u*u*u**2)\/u)*u**(1\/5)*u*(u**6*u)\/u assuming u is positive.\nAnswer: u**(177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.2 + -8. Let n = r - 0.6. Let s be (-2)\/(-7) - 9\/7. Put n, s, -4 in ascending order.\nAnswer: -4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676533024 a multiple of 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 50*f - 467. Let w be q(-61). Let k be 18\/(-5) - (-4)\/(-10). Let l = k + w. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 169103527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndvjvndp. Give prob of sequence nj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35792566?\nAnswer: 2, 17896283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 659 = -i - 667, 2*g = -i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/1597 - -37871\/151715. Let p = 16\/19 - r. Sort 1, 0.5, -4, p in increasing order.\nAnswer: -4, 0.5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/31193 or 0?\nAnswer: 3\/31193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.745 + -97505.745. Let d = 97483.927 + x. Let f = -59 + d. What is f rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4135*d**2 + 20*d + 1078690.\nAnswer: 8270*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d2 + 1d?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -3*o**4\/8 + o**2. Let t = 51 - 52. What is the units digit of a(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 - 2585*x**2 - 20260*x + 50900 = 0. What is x?\nAnswer: -509, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112278903 to the power of 1\/2, to the nearest integer?\nAnswer: 10596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:38 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*c*n*s + c*s**3 - 2*c*s + 2*n*s**3 - 4*n*s**2 + 38*s**3 wrt n?\nAnswer: 53*c*s + 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let k(u) be the second derivative of u**4\/6 + 3*u**3 + 3*u. Let t(x) = 12*a(x) + k(x). Find the second derivative of t(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + m - 7187 + 7*m**2 - 8*m**2 + 2*m.\nAnswer: -m**2 + 3*m - 7187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:32 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (30 + -10)) + -18 - 0?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14070 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 - (-86)\/12. Suppose 4*y - x = 9. Suppose -5*o + 599 = -3*m, y*m = -3*o - 2*o + 578. What is o rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -41*v**2 + 3*v + 4. Let n(i) = 80*i**2 - 5*i - 7. Calculate -3*n(r) - 5*t(r).\nAnswer: -35*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - -43) + (9 - -85)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 338730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2640820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12 and -53\/1095?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16096.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150276389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + c - 62 = 0, -2*j - 3*c = -44 - 22. Suppose -3*v - 1704 = -5*m, j*v = 3*m + 29*v - 1020. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10756376 (base 8) in base 14?\nAnswer: 452770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i**2 + 902*i - 3085. Calculate p(56).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433296*520.\nAnswer: -225313920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9776, 348, 2, 8 in decreasing order.\nAnswer: 348, 8, 2, -9776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q + 4. Let u(b) = 7*b - 4. Let m(r) = 6*g(r) + 5*u(r). Let w be m(0). Suppose 4*o - d - d = 176, w*d + 180 = 4*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 64 = 2*i - 25, 5*i + 75 = 5*z. Calculate the least common multiple of (i\/24)\/(2\/(-24)) and 2\/(((-3)\/4)\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/35 - (-18)\/15. Let n be 17\/(-17)*(-6)\/d. Solve 3*c = -n*j + 5 + 4, 2*j - 2 = -4*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v - 2500 = -39*v. Suppose j - 5*u + v = 1726, -5*u - 4449 = -4*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 22 = 16. Suppose -7*o + n = -107. Suppose y + i + 10 = 2*y, 0 = -2*y + i + o. Calculate the highest common divisor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141644 (base 7) to base 8.\nAnswer: 64710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-2 - 8) - (4 + -11 + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101171 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) + sqrt(3087) + sqrt(3087)*-5)\/(sqrt(27)\/(sqrt(3)*4) + sqrt(9) - sqrt(9))*2)**2.\nAnswer: 197568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 9:03 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 4967*b**2 - 1049308*b - 1044340.\nAnswer: (b - 5170)*(b + 1)*(b + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19948 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = 0. Suppose o*s - 44 = -2*s. Suppose -s = -4*q - 2. Solve 0 = -q*d - 5, -m - d + 4 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1.027135\nAnswer: 4.10854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 22)\/12*56\/406.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/357)\/((380\/(-3135))\/(126\/99))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 820568.71 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 2*s, -5*b + 3*s = -51 - 5. Suppose 4*j + 5*m = 3, b = 2*j - 5*m + 1. Find the third derivative of -2*x**3 - 3*x - x**j + 3*x wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-171996)\/1452 - (2 + (-56)\/22).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130771131?\nAnswer: 3, 43590377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2315 + -2308. Let l = 50 - 24. Calculate the remainder when l is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0.1, 368.14, -1, 2\/45?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - w**3 + 19*w**3 + (2 + 0 - 3)*(2*w**3 - 6*w**3 + 0*w**3).\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)*x\/((x**(-8)\/x)\/x)*x)**9 assuming x is positive.\nAnswer: x**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1. Let g(z) = -3*z + 5. Let t(k) = -k. Let v(d) = -g(d) + 5*t(d). Let b(l) = 5*r(l) + v(l). Let s(n) = n**2. Calculate s(b(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}